 - a - 842 - 3*f**2.
-3*(f + 23)**2
Suppose 3*i - 17 = 10. Let g = -5807 + 5809. Find o, given that 0 + 392*o**g + i*o + 2 + 47*o = 0.
-1/14
Let n be ((-19)/(665/205) - -7)/((-6)/(-28)). Factor n*o**2 + 2/3*o**3 + 12 + 14*o.
2*(o + 2)*(o + 3)**2/3
Let 2/17*x**3 + 208/17 - 108/17*x - 6*x**2 = 0. Calculate x.
-2, 1, 52
Let u(f) be the second derivative of -1/60*f**5 - 25/6*f**3 + 0 + 125/6*f**2 + 5/12*f**4 - 72*f. Let u(o) = 0. Calculate o.
5
Let d be (40/(-4))/(2/(-66)). Let b = d - 327. Find x, given that -3*x + 3/4*x**b + 3 - 3/4*x**2 = 0.
-2, 1, 2
Let f(a) be the third derivative of 885735/2*a**3 + 81/4*a**5 + 32805/8*a**4 + 1/24*a**6 + 0 + 147*a**2 + 0*a. What is b in f(b) = 0?
-81
Let y(h) be the first derivative of -h**5/270 - 11*h**4/108 - 2*h**3/3 + 289*h**2/2 + 178. Let a(x) be the second derivative of y(x). Solve a(q) = 0.
-9, -2
Let o(p) be the first derivative of -5*p**6/6 - 16*p**5 + 135*p**4/2 - 280*p**3/3 + 95*p**2/2 + 860. Factor o(m).
-5*m*(m - 1)**3*(m + 19)
Let q(h) be the third derivative of h**8/1680 - 78*h**7/175 + 233*h**6/150 - 11305*h**2. Factor q(k).
k**3*(k - 466)*(k - 2)/5
Let f(j) = -j**2 - 3. Let t(c) = 4*c**2 + c + 9. Let u = -79 + 21. Let z = u - -37. Let q(h) = z*f(h) - 6*t(h). Let q(b) = 0. Calculate b.
-3, 1
Let w be (-6 + 495/81)*(2681 - -2). Let q = -297 + w. Factor -4/3*c**2 + q*c + 2/9.
-2*(c - 1)*(6*c + 1)/9
Let s(x) = -x**2 - x + 5. Let q(g) = 16*g**2 + 16078*g + 3591210. Let p(y) = -q(y) + 2*s(y). Factor p(t).
-2*(3*t + 1340)**2
Let t(x) = -x**3 + 4*x**2 + 5*x - 11. Let n be t(-4). Suppose 0 = -n*l + 100*l. Factor -1/6*y**2 + l - y.
-y*(y + 6)/6
Let p(l) = l**2 + 18*l - 20. Let y be p(9). Factor 223*a**4 - y*a**4 + a + 0*a**3 - 2*a**3 + a**5.
a*(a - 1)**2*(a + 1)**2
Suppose -3577 - 215 = -632*t. Factor -1/6*p**2 - 2*p - t.
-(p + 6)**2/6
Suppose 2*t + b - 5 = 0, 3*t - 3*b + 3 = -b. Let d be (-1 + 2)*1 + (3 - t). Factor 13 - 20*w**2 + 13 - 6 - 7*w - 5*w**d + 12*w.
-5*(w - 1)*(w + 1)*(w + 4)
Let n = 96 + -92. Let c be (n/(-10))/(-3*(-5)/(-75)). Factor 6*w**4 - c*w**4 - w**3 - 6*w**2 + 8 - 3*w**4 + 4*w.
(w - 2)**2*(w + 1)*(w + 2)
Solve -267/7*q + 3/7*q**2 + 0 = 0.
0, 89
Let f(m) be the first derivative of m**6/60 - 8*m**5/15 - 35*m**4/12 - 6*m**3 - 11*m**2 + 69. Let x(p) be the second derivative of f(p). Factor x(l).
2*(l - 18)*(l + 1)**2
Let y = -34713 + 34718. Solve -18/7*v**4 + 27/7*v + 18/7*v**2 - 3/7*v**y - 24/7*v**3 + 0 = 0 for v.
-3, -1, 0, 1
Let j(m) be the second derivative of m**4/16 + 18*m**3 + 1944*m**2 + 3638*m. Factor j(y).
3*(y + 72)**2/4
Let p(i) = i**4 - 7*i**2 + 2*i - 1. Let u(a) = 4*a**4 - 16*a**3 + 63*a**2 - 138*a - 3. Let l(z) = -12*p(z) + 4*u(z). Factor l(t).
4*t*(t - 6)**2*(t - 4)
Let p be 99/330*(-230)/(-36). Let u = p + -17/12. Factor 0 + u*g**2 + 1/2*g.
g*(g + 1)/2
Let t be (1832/(-56))/((-16)/392). Let m = t - 789. Let 25/2*w - m*w**3 + 5*w**2 - 5 = 0. What is w?
-1, 2/5, 1
Suppose -3*m + 4*b - 24 = -0*m, 5*m + 8 = -4*b. Let u be 6 - (16/m - -6). Factor -8*l + u*l - 20*l**2 + 24*l - 5*l**3 + 5*l**4.
5*l*(l - 2)*(l - 1)*(l + 2)
Suppose -13 = -2*u - 3*m, -4*u + 2 = m - 3*m. Let x be 2/(-8) + u/8. Factor -2/3*o**3 + x*o - 2/3*o**4 + 0 + 4/3*o**2.
-2*o**2*(o - 1)*(o + 2)/3
Let -92 - 8*s**4 - 25*s**3 + 19*s**4 - 12*s**5 + 15*s - 33*s**2 + 37*s**4 - 2*s**3 + 101 = 0. What is s?
-1/2, 1, 3
Let l(k) be the first derivative of -30*k + 295/2*k**2 + 795/2*k**4 + 38 - 230*k**5 + 105/2*k**6 - 340*k**3. Solve l(x) = 0 for x.
2/9, 3/7, 1
Suppose -3*r - 5 = k, 3 - 2 = k. Let y(g) = -2*g + 3. Let p be y(r). Factor -40*i**2 + 3*i + 2 - 1 + i + p.
-4*(2*i - 1)*(5*i + 2)
Let s = -29 + 32. Suppose 0 = -s*r + 6, -4*u = -3*r - 1 - 1. Factor l**5 + 31*l**4 - u*l**3 + l**3 - l**2 - 30*l**4.
l**2*(l - 1)*(l + 1)**2
Let g(h) be the second derivative of 49*h**4/8 + 145*h**3/12 - h**2/2 - 27*h + 4. Find l, given that g(l) = 0.
-1, 2/147
Let o(z) = -4*z**4 - 124*z**3 + 360*z**2 - 1092*z + 1194. Let d(j) = -j**4 - 13*j**3 + j**2 + j + 1. Let y(k) = -6*d(k) + o(k). Find s, given that y(s) = 0.
3, 6, 11
Let r(i) be the second derivative of -2 + 1/2*i**3 + 3/20*i**6 + 0*i**2 + 19/24*i**4 + 1/84*i**7 + 21/40*i**5 - 2*i. Factor r(y).
y*(y + 1)**3*(y + 6)/2
Suppose -33 + 33 = -174*v. Let q(k) be the third derivative of 1/4*k**4 + 0*k - 1/70*k**7 + 1/10*k**6 + v - 1/4*k**5 + 2*k**2 + 0*k**3. Factor q(m).
-3*m*(m - 2)*(m - 1)**2
Let x(q) be the second derivative of -2*q**6/15 - 14*q**5/5 - 37*q**4/3 + 56*q**3 + 216*q**2 - 425*q. Let x(f) = 0. Calculate f.
-9, -6, -1, 2
Let q(w) be the first derivative of -w**4/4 + 8*w**3/3 - 2*w**2 - 18*w + 31. Let j be q(7). Factor -11*d - 2*d - 8*d - 12 + j*d**3 + 0 - 6*d**2.
3*(d - 4)*(d + 1)**2
Let a(h) = -h**2 - 2*h + 291. Let o be a(-18). Let x = 2404/2745 - -4/305. What is w in 0 + 0*w - 2/9*w**5 + 0*w**2 + 10/9*w**4 - x*w**o = 0?
0, 1, 4
Let k(p) be the second derivative of p**7/252 + p**6/90 - p**5/120 - p**4/36 + 1627*p. Find j such that k(j) = 0.
-2, -1, 0, 1
Factor 1400 + 1740*n + 1/2*n**4 + 727/2*n**2 + 24*n**3.
(n + 1)*(n + 7)*(n + 20)**2/2
Determine z, given that 0 + 500/7*z**2 - 184/7*z**3 + 688/7*z + 4/7*z**4 = 0.
-1, 0, 4, 43
Let v(r) be the third derivative of r**7/525 + 439*r**6/150 + 42778*r**5/25 + 2489621*r**4/6 - 25153757*r**3/15 - 6454*r**2. What is c in v(c) = 0?
-293, 1
Let o be 252/70*17/153. Let -o*j - 72/5*j**4 + 76/5*j**2 - 4/5 + 2/5*j**3 = 0. Calculate j.
-1, -2/9, 1/4, 1
Let u be 11 + (-5 - 3)*2/(-4). Suppose 36 = u*p + 6. Let -9*m + 0*m**3 + 8*m**2 - m + 10 - 6 - p*m**3 = 0. Calculate m.
1, 2
Let -80/3*o + 4 + 7/3*o**3 - 29/3*o**2 = 0. Calculate o.
-2, 1/7, 6
Let r(l) be the second derivative of -l**6/90 + 23*l**5/60 - 41*l**4/12 + 181*l**3/18 - 40*l**2/3 - 1866*l. What is j in r(j) = 0?
1, 5, 16
Let n be (-6)/(-21) - 8/(-7)*-23. Let c = n + 35. Suppose -c - 2 + h + h**2 + 9 = 0. What is h?
-2, 1
Let p(q) be the third derivative of 4*q**6/15 + 167*q**5/15 + 139*q**4/6 - 40*q**3/3 - 42*q**2 - 2. Suppose p(d) = 0. What is d?
-20, -1, 1/8
Let d(s) be the first derivative of 4*s**5/35 - s**4 - 40*s**3/21 + 32*s**2/7 - 6358. Factor d(b).
4*b*(b - 8)*(b - 1)*(b + 2)/7
Let i(v) be the first derivative of 101 + 6/11*v**2 + 6/11*v**4 + 14/11*v**3 - 6/11*v. Factor i(g).
6*(g + 1)**2*(4*g - 1)/11
Let w(f) be the second derivative of -f**6/15 + 3*f**5/10 - f**4/6 - f**3 + 2*f**2 + 316*f. Suppose w(v) = 0. What is v?
-1, 1, 2
Suppose -256/7 - 352/7*y - 32/7*y**3 - 2/7*y**4 - 24*y**2 = 0. What is y?
-8, -4, -2
Let w(l) be the third derivative of -l**8/84 + 16*l**7/15 - 9*l**6/5 - 56*l**5/15 + 55*l**4/6 + 2*l**2 + 460. Let w(m) = 0. Calculate m.
-1, 0, 1, 55
Let o(r) be the second derivative of -r**5/80 + 65*r**4/48 + 101*r**3/12 + 17*r**2 + 738*r. Factor o(g).
-(g - 68)*(g + 1)*(g + 2)/4
Suppose -13*j = 399 - 126. Let d be (j/(-441))/(3/(1 - -26)). Factor 0 + 15/7*s**4 + d*s**5 + 0*s + 24/7*s**3 + 12/7*s**2.
3*s**2*(s + 1)*(s + 2)**2/7
Suppose 0 = -131*k + 301 + 92. Let b = 744/5 + -5048/35. Let -10/7*i**k - 34/7*i**2 - b*i - 8/7 = 0. Calculate i.
-2, -1, -2/5
Let q be 5 - 0 - ((-4)/78 + 28261/(-2301)). Factor 8*i**4 - 4/3*i**5 - 16/3*i + 0 + 16*i**2 - q*i**3.
-4*i*(i - 2)**2*(i - 1)**2/3
Let h(s) be the third derivative of -s**11/748440 - s**10/340200 + s**5/20 + 19*s**2 - 3*s. Let g(f) be the third derivative of h(f). Factor g(b).
-4*b**4*(b + 1)/9
Factor 13/11*q - 1/11*q**3 + 2/11*q**2 + 10/11.
-(q - 5)*(q + 1)*(q + 2)/11
Let p(n) be the second derivative of -n**5/4 - 1360*n**4/3 - 10865*n**3/6 - 2715*n**2 - 47*n + 9. Suppose p(i) = 0. Calculate i.
-1086, -1
Let z be 144/64 - ((-2)/8)/(-1). Suppose 2*j + 4 = -5*s + 56, z*j - 5*s = 92. Determine f so that 108 + 7*f**2 + j*f - f**2 - 3*f**2 = 0.
-6
Let r(x) = 21*x**5 + 9*x**4 - 19*x**3 + 24*x**2 + 5*x + 5. Let l(u) = -4*u**5 - u**4 - 2*u**2 - u - 1. Let y(k) = -5*l(k) - r(k). Factor y(h).
-h**2*(h - 2)*(h - 1)*(h + 7)
Let n = 61205/2 - 30472. Solve 7569/2*w - 73167/2 + 3/2*w**3 - n*w**2 = 0.
29
Factor -2/13*v**2 + 512/13 - 48/13*v.
-2*(v - 8)*(v + 32)/13
Let x(t) be the first derivative of 0*t - 2/15*t**3 + 1/15*t**6 + 3/10*t**4 + 156 + 0*t**2 - 6/25*t**5. Factor x(z).
2*z**2*(z - 1)**3/5
Let s(a) be the second derivative of -a**5/4 - 35*a**4/4 - 55*a**3 + 560*a**2 + 24*a + 1. What is o in s(o) = 0?
-16, -7, 2