**2 - q - 2/5*q**3 + 3/50*q**5 + 14 + 3/20*q**4 - 1/50*q**6. Suppose c(b) = 0. What is b?
-1, 2
Let d(b) = 48*b**2 + 220*b + 300. Let h(c) = 2*c**3 - 46*c**2 - 220*c - 300. Let a(u) = 3*d(u) + 2*h(u). Factor a(v).
4*(v + 3)*(v + 5)**2
Let k(l) be the second derivative of -l**5/4 - 805*l**4/6 - 535*l**3/2 + 4*l + 260. Factor k(q).
-5*q*(q + 1)*(q + 321)
Let a(t) be the first derivative of -2*t**3/11 - 15*t**2/11 + 36*t + 80. Let a(y) = 0. What is y?
-11, 6
Let i(t) be the second derivative of -t**4/6 + 2804*t**3/3 - 1965604*t**2 - 1532*t - 2. Solve i(f) = 0 for f.
1402
Let -62*v**2 + 6*v**3 + 56*v - 21*v + 7*v - 58 - 4*v**3 + 76*v = 0. Calculate v.
1, 29
Let n be 44/88*-1*(-1 - 1). Let p(d) = -d**3 - d - 1. Let g(v) = -v**4 - 5*v**3 + 3*v**2 - 3*v - 5. Let m = -14 + 9. Let h(t) = m*p(t) + n*g(t). Factor h(b).
-b*(b - 2)*(b + 1)**2
Let o = -446 - -442. Let w(h) = -87*h - 344. Let c be w(o). Determine l so that 0 - 5/2*l**3 + 5/2*l + 5*l**2 - 5*l**c = 0.
-1, -1/2, 0, 1
Let y(k) = 3*k - 37. Let o be y(14). Suppose 170 = o*h + 12*h. Solve 0 - 4*l**2 + 5*l**5 + 5*l**4 - 10*l**3 + 24*l**2 - h - 15*l**4 + 5*l = 0 for l.
-1, 1, 2
Let z(s) be the first derivative of -135 + 0*s - 5*s**3 - 2*s**5 - 25/4*s**4 + 0*s**2. Factor z(o).
-5*o**2*(o + 1)*(2*o + 3)
Let u(r) be the first derivative of r**6/15 - 572*r**5/25 + 10223*r**4/5 + 1712*r**3/15 - 12155*r**2 - 81796*r/5 - 2488. Suppose u(w) = 0. Calculate w.
-1, 2, 143
Let h(w) be the third derivative of -w**6/120 + 351*w**5/4 - 3080025*w**4/8 + 1801814625*w**3/2 - 4636*w**2. Factor h(q).
-(q - 1755)**3
Let c(s) be the first derivative of 240 + 0*s + 1/10*s**4 - 14/5*s**2 - 2/3*s**3. Suppose c(v) = 0. Calculate v.
-2, 0, 7
Let x(c) be the first derivative of -c**7/70 + 3*c**5/10 - c**4 + 3*c**3/2 + 9*c**2/2 - 4*c - 5. Let w(k) be the second derivative of x(k). Factor w(f).
-3*(f - 1)**3*(f + 3)
Let q(p) be the second derivative of p**6/10 - 339*p**5/5 + 51075*p**4/4 + 226*p**3 - 76614*p**2 - 1244*p. What is a in q(a) = 0?
-1, 1, 226
Let c(o) be the first derivative of o**5/20 - o**4/4 - 3*o**3/2 + 6*o**2 - 3*o + 47. Let h(y) be the second derivative of c(y). Factor h(n).
3*(n - 3)*(n + 1)
Let o(q) be the first derivative of q**8/10080 + q**7/1008 + q**6/720 - q**5/80 + 142*q**3/3 - 18. Let h(c) be the third derivative of o(c). Factor h(m).
m*(m - 1)*(m + 3)**2/6
Factor -4*z**2 - 11*z**2 + 33*z**2 + 432*z - 14*z**2 - 616 - 132*z.
4*(z - 2)*(z + 77)
Let v(m) = m**2 - m. Suppose -2*f = -3*k + 5, 2*k + 3 = -5*f - 0. Let r(l) = -5*l**3 + 30*l**2 - 15*l - 10. Let p(z) = k*r(z) - 20*v(z). Factor p(u).
-5*(u - 2)*(u - 1)*(u + 1)
Let o(t) be the third derivative of -t**6/30 - 52*t**5/5 - 153*t**4/2 - 6*t**2 - 2*t + 66. Factor o(n).
-4*n*(n + 3)*(n + 153)
Factor -227029 - 28237 - 5*o**2 - 4350*o - 690859.
-5*(o + 435)**2
Let q = -163327 - -653311/4. Determine n so that 237/4*n**2 - 48 + q*n**5 - 36*n + 141/4*n**3 - 45/4*n**4 = 0.
-1, 1, 8
Let w be 5 + 8/4 + ((-160)/(-28))/(-1). Let q(j) be the second derivative of -1/42*j**4 + 18*j + 0 - w*j**2 + 2/7*j**3. Factor q(z).
-2*(z - 3)**2/7
Suppose u + 0*h - 10 = 4*h, u = -h. Let s be 75/(-50)*(-3)/u. Let -3/8*v**2 - s*v - 27/8 = 0. What is v?
-3
Let q(y) be the first derivative of -7/2*y**2 + 2 + 3*y + 4*y**3. Let g(n) = n + 1. Let r(i) = 20*g(i) - 5*q(i). What is o in r(o) = 0?
-1/12, 1
Let g(u) be the second derivative of -1/78*u**4 + 0*u**2 - 17/39*u**3 - 2*u - 5. Find v such that g(v) = 0.
-17, 0
Let g be (-2)/4 + 76/120. Suppose 63*s = 58*s + 2*w + 16, 0 = -s + 2*w + 8. Factor -12/5*y - g*y**s - 54/5.
-2*(y + 9)**2/15
What is i in -128/7*i + 135 - 1/7*i**2 = 0?
-135, 7
Suppose 300285 - 1050285 = -16*x. Factor x*p**2 - 750*p + 6 + 7 - 28 + 18.
3*(125*p - 1)**2
Let s(p) be the second derivative of p**6/30 + 7*p**5/30 - 29*p**4/36 - 68*p**3/9 + 8*p**2 - 137*p - 12. Factor s(y).
(y - 3)*(y + 4)**2*(3*y - 1)/3
Let h = 12925 + -25847/2. Factor -3/4*l**2 + h*l + 3/4*l**4 - 3/2*l**3 + 0.
3*l*(l - 2)*(l - 1)*(l + 1)/4
Suppose 96*p - 316 = 115 - 47. Let n(s) be the second derivative of 3/10*s**5 + 4*s**2 + 18*s - 8/3*s**3 + 0 + 1/6*s**p. Find f, given that n(f) = 0.
-2, 2/3, 1
Let l(x) be the second derivative of -66 + 1/5*x**2 + 1/5*x**3 + 1/50*x**5 + 1/10*x**4 + x. Find n, given that l(n) = 0.
-1
Let d(i) be the first derivative of i**5/5 + 59*i**4/4 + 53*i**3/3 - 287*i**2/2 + 174*i - 70. Find w, given that d(w) = 0.
-58, -3, 1
Let u be (9 + (-413)/49)/(8/7). Factor 1/6*a**3 + 1/2*a - 1/6 - u*a**2.
(a - 1)**3/6
Let k(p) be the second derivative of 3*p**4/8 + 49*p**3/12 + 10*p**2 - 37*p - 1. Factor k(a).
(a + 1)*(9*a + 40)/2
Let q be -1*5/(10/(-8)). Factor 4*s + 2*s**5 - 3*s**3 + 4*s**2 - s**5 + 4*s**q - 6*s**4.
s*(s - 2)**2*(s + 1)**2
Let w(i) be the first derivative of 0*i**4 + 0*i**3 - 1/45*i**6 - 18*i + 0*i**2 + 0*i**5 - 20. Let a(m) be the first derivative of w(m). What is t in a(t) = 0?
0
Solve -1/5*w**2 - 104976/5 + 648/5*w = 0.
324
Suppose 13800 = -10*b + 3500. Let v be b/(-180) + (-2)/9. Factor v*k + 1/4*k**2 + 121/4.
(k + 11)**2/4
Let i(m) be the first derivative of -m**4 + 64*m**3/3 - 160*m**2 + 512*m + 1838. Factor i(d).
-4*(d - 8)*(d - 4)**2
Let b = 24 - 19. Let f(o) be the first derivative of -2*o**3 + 2 + 3*o + b*o**3 - 11 - 6*o**2. Factor f(z).
3*(z - 1)*(3*z - 1)
Suppose 2*o + 1191 = -1198 - 1197 + 3592. Let v = -5/38 - -139/190. Let 3/5 + v*g - 3*g**2 + 9/5*g**o = 0. What is g?
-1/3, 1
Suppose -20*k + 27215 + 34664 = -4748 + 15427. Let -5/3*n**4 + k + 35*n**3 - 200*n**2 - 320/3*n = 0. Calculate n.
-3, 8
Let i(z) be the second derivative of z**4 - 1/2*z**3 + 3/20*z**5 + 0*z**2 - 16*z - 2/5*z**6 - 2. Solve i(v) = 0 for v.
-1, 0, 1/4, 1
Suppose 2*j = -2*a + 924, -2*a = 6*j - 3*j - 1383. Suppose 274*g - j*g + 3*g**3 + 248*g + 24*g**2 + 2 + 52 = 0. Calculate g.
-3, -2
Let p(a) be the second derivative of a**4/3 + 2160*a**3 + 5248800*a**2 - 3*a - 619. Suppose p(w) = 0. What is w?
-1620
Suppose 46*t - 300*t = -777 - 1255. Factor 56/3*z**3 + 4/3*z**5 + t*z**4 + 8/3 + 12*z + 64/3*z**2.
4*(z + 1)**4*(z + 2)/3
Let v(s) = -12*s**3 + 2*s**2 + 3*s + 2. Let a be v(-1). Factor 22*d**4 - 11*d**4 - a*d**4 - 10*d**3.
-2*d**3*(d + 5)
Let b(g) be the second derivative of g**4/108 + 2*g**3/3 + 34*g**2/9 - 338*g + 1. Factor b(x).
(x + 2)*(x + 34)/9
Factor 123163*t**2 - 123172*t**2 - 54*t + 55 + 65 + 3*t**3.
3*(t - 5)*(t - 2)*(t + 4)
Suppose -6*t + 5 = -13*i - t, i + t - 1 = 0. Let c(y) be the third derivative of -14*y**2 + i*y - 15/2*y**3 + 5/4*y**4 + 0 - 1/12*y**5. Factor c(k).
-5*(k - 3)**2
Let d(n) = -26*n**3 - 62*n**2 - 19*n - 17. Let l(a) = -104*a**2 + 6*a + 6 + 0 + 9*a**3 + 125*a**2. Let o(c) = 6*d(c) + 17*l(c). What is m in o(m) = 0?
-4, -1, 0
Let x(i) = 3*i**3 - 38*i**2 + 110*i. Let p(y) = -3*y**3 + 39*y**2 - 111*y. Let d = -177 - -179. Let j(f) = d*p(f) + 3*x(f). Find h, given that j(h) = 0.
0, 6
Suppose -9*p + 50 = -49. Determine u so that 9*u**4 - p*u**2 - 33*u + 61*u**3 + 34*u**3 - 4*u**2 - 62*u**3 + 12 - 6*u**2 = 0.
-4, -1, 1/3, 1
Let z(x) = 7*x**3 + 2*x**2 + 2*x. Let n be z(-2). Let c = 54 + n. Factor 15*s**3 + 2*s**4 - s - c*s**2 - 13*s**3 - s.
2*s*(s - 1)*(s + 1)**2
Find q, given that -17672/3 - 17296/3*q - 2/3*q**3 + 374/3*q**2 = 0.
-1, 94
Let r(m) be the first derivative of m**5/15 + 5*m**4/3 + 6*m**3 + 20*m**2 - 54. Let b(o) be the second derivative of r(o). Factor b(k).
4*(k + 1)*(k + 9)
Let n be (12740/(-70))/26 + 99/12. Solve -n*z**2 - 25/2 - 35/4*z = 0.
-5, -2
Let w(n) be the second derivative of -n**5/22 - 4*n**4/11 - 9*n**3/11 + 4*n + 998. What is b in w(b) = 0?
-3, -9/5, 0
Let a(f) be the first derivative of 0*f**3 + 0*f + 14*f**5 - 17*f**4 + 0*f**2 - 1/3*f**6 - 49. Factor a(u).
-2*u**3*(u - 34)*(u - 1)
Let p(n) = 9*n**2 + 152*n - 296. Let w(k) = -100*k**2 - 1675*k + 3255. Let g(h) = 45*p(h) + 4*w(h). Determine v so that g(v) = 0.
-30, 2
Let y(i) be the first derivative of i**4/54 - 5*i**3/9 - 16*i**2/9 + 147*i + 16. Let a(o) be the first derivative of y(o). Determine j, given that a(j) = 0.
-1, 16
Let f(a) be the third derivative of -a**6/120 - 11*a**5/20 + 17*a**4/12 + 135*a**2 - 8. Find v, given that f(v) = 0.
-34, 0, 1
Let y(u) be the second derivative of 1/10*u**5 + 5/3*u**4 - 48*u + 0 - 13/3*u**3 - 22*u**2. Let y(m) = 0. What is m?
-11, -1, 2
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