10*u - 15*u**2 + p*u**4 + 5*u - 3*u = 0.
-1, 0, 2
Suppose -3*p = 3*v - 198, -5*v = -3*p + 134 + 40. Suppose 0 = -5*a - 4*n + 8, 5*a = 2*n - 67 + p. Find w, given that 1/5*w**2 + a + 1/5*w = 0.
-1, 0
Suppose -3*c = 2*f + 12, 3*f = 4*c - 29 + 45. Let j(u) be the third derivative of 0 + 0*u + u**2 - 1/30*u**5 + 1/4*u**4 + f*u**3. Find t, given that j(t) = 0.
0, 3
Let s = 178492 + -178489. Factor 60/7*a**2 + 3/7*a**s + 204/7*a + 192/7.
3*(a + 2)**2*(a + 16)/7
Suppose -o - 43*n + 46*n = -11, -5*o + 4*n + 22 = 0. Determine l so that -593*l - 603*l - 3*l**o + 1169*l = 0.
-9, 0
Let d(l) be the first derivative of l**4/2 - 4*l**2 - 855. Factor d(t).
2*t*(t - 2)*(t + 2)
Let f(h) be the second derivative of -8*h**6/15 - 3252*h**5/5 - 659341*h**4/3 + 441188*h**3 - 331298*h**2 - 2*h + 5579. Find x, given that f(x) = 0.
-407, 1/2
Let a(u) be the second derivative of 9/2*u**2 + 7/12*u**4 + 17 + u - 1/20*u**5 + 17/6*u**3. Suppose a(z) = 0. What is z?
-1, 9
Suppose 11*c + 596 = -537. Let q = -101 - c. Factor -1/8*r**3 - 3/4 + 1/8*r + 3/4*r**q.
-(r - 6)*(r - 1)*(r + 1)/8
Let s = -4111061/12747 - -152/1821. Let a = -322 - s. Factor -3/7*k**4 + 0 - 3/7*k**5 + a*k**3 + 3/7*k**2 + 0*k.
-3*k**2*(k - 1)*(k + 1)**2/7
Let g be 77572/(-198) + (14/18 - 1). Let o = 392 + g. Determine i, given that 0*i + 1/5*i**2 - 1/5*i**3 + o = 0.
0, 1
Let t(x) be the second derivative of -x**5/160 + x**4/96 + 133*x**3/48 - 637*x**2/16 - x - 699. Find v such that t(v) = 0.
-13, 7
Let z = -18870 + 132098/7. Let j = -2108 + 14780/7. Factor 26/7*s**2 + 2/7*s**4 + z - j*s - 12/7*s**3.
2*(s - 2)**2*(s - 1)**2/7
Let v be 608/(-171)*(-141)/2. Let n = v + -250. Find u such that -n*u**3 + 4/3 + 2/3*u - 4/3*u**2 = 0.
-2, -1, 1
Let z(m) = m - 1. Let s(b) = 5*b - 17. Let h(u) = s(u) + 2*z(u). Let g be h(3). Suppose -3*p**g - 2*p**4 - 2*p**2 - 4*p**2 + 8*p**3 + 3*p**2 = 0. What is p?
0, 1, 3
Suppose -x + 11 = 82. Let q = x + 176. Factor -q*d**2 - 4 + 155*d - 45*d**3 - 11 - 70*d.
-5*(d + 3)*(3*d - 1)**2
Let b(a) = 4*a**3 - 57*a**2 - 387*a - 8. Let k be b(-5). Let -2/13*u**k + 12/13*u - 18/13 = 0. Calculate u.
3
Find h such that 134/3 - 24*h**3 + 23*h + h**5 + 200/3*h**4 - 334/3*h**2 = 0.
-67, -1, -2/3, 1
Let g = 98/407 + 79787/1628. Solve -7/8*o**5 - g*o**2 + 9*o**4 - 33/2*o + 9 - 111/8*o**3 = 0.
-1, 2/7, 6
Let x = -197898 + 989492/5. Factor -24/5 - 16/5*k - x*k**2.
-2*(k + 2)*(k + 6)/5
Let r(u) be the second derivative of -1/84*u**4 - 7 - 5/21*u**3 - 2*u - 9/14*u**2. Factor r(d).
-(d + 1)*(d + 9)/7
Let y = -108179/17 - -6367. Let q = y - 69/34. Find t such that q*t - 6 + 3/4*t**2 = 0.
-4, 2
What is h in -596/11*h**2 - 172872/11 - 2/11*h**3 - 45570/11*h = 0?
-147, -4
Let m(f) be the second derivative of -f**4/78 + 22*f**3/39 + 2*f - 239. Find v, given that m(v) = 0.
0, 22
Let v(h) = -h**2 + 18*h + 22. Let n be v(-6). Let f be (-61)/n*(-2)/(-3). Let -43/6*c**4 + 7/2*c**5 + 1/2*c**2 + 0 + 7/2*c**3 - f*c = 0. Calculate c.
-2/7, 0, 1/3, 1
Let d = -39 + 52. Suppose d*o - 2 = 12*o. Factor -o*f**2 + 4*f + 2*f**3 + f - 4*f**2 - f.
2*f*(f - 2)*(f - 1)
Let z be (3/4)/((-177)/(-126) - (-186)/1953). Factor 0 + 1/2*f + z*f**2.
f*(f + 1)/2
Let q = -233/20 + 69/10. Let s = q - -6. Determine p, given that 10*p - s*p**2 - 20 = 0.
4
Suppose 3*k = 21*k - 36. Find n, given that 4*n**4 + n**5 + 10*n**3 - 2*n**3 - k*n**3 - 8*n - 3*n**5 - 8*n**2 + 0*n**3 = 0.
-1, 0, 2
Let h(u) be the third derivative of -74/3*u**4 + 10 + 10952/3*u**3 + 7*u**2 + 0*u + 1/15*u**5. What is l in h(l) = 0?
74
Let u(p) be the first derivative of p**7/147 - 3*p**5/70 - p**4/21 + 73*p + 11. Let n(h) be the first derivative of u(h). Suppose n(q) = 0. What is q?
-1, 0, 2
Let q be -76 + 74 + (-136)/2. Let n be (27 - 0)/(q/(-120)). Suppose 4/7*a**2 + n + 72/7*a = 0. What is a?
-9
Let j(y) be the second derivative of -y**6/120 + y**5/40 + y**4/12 - y**3/12 - 3*y**2/8 - 1481*y. Solve j(p) = 0.
-1, 1, 3
Let x(o) be the second derivative of 7*o**5/150 + 19*o**4/60 - 2*o**3/5 - 8*o**2 + 27*o. Let p(s) be the first derivative of x(s). Factor p(d).
2*(d + 3)*(7*d - 2)/5
Let f(h) = 9*h**4 - 4*h**3 - 27*h**2 - 26*h - 17. Let y(o) = -11*o**4 + 3*o**3 + 27*o**2 + 25*o + 18. Let j(c) = -6*f(c) - 5*y(c). Factor j(b).
(b + 1)**2*(b + 3)*(b + 4)
Let o be (-44)/(-20) - 252/360. Let w(v) be the first derivative of v**3 + o*v**4 + 20 + 0*v**2 + 3/5*v**5 + 0*v. Factor w(f).
3*f**2*(f + 1)**2
Let f(h) be the third derivative of h**5/4 + 841*h**4/4 + 336*h**3 - 59*h**2 - 57. Factor f(q).
3*(q + 336)*(5*q + 2)
Let f(a) = 51*a + 167*a**2 - 27 + 7*a - 163*a**2. Let g be f(-15). Determine o, given that -3/2 + 5/6*o**2 + 1/6*o**g + 1/2*o = 0.
-3, 1
Factor 544638/5*u**2 + 35718*u**3 + 183027/5 - 1473/5*u**4 + 3/5*u**5 + 547599/5*u.
3*(u - 247)**2*(u + 1)**3/5
Let j(u) be the first derivative of u**4/12 - 2*u**3/15 - u**2/10 - 66*u + 12. Let b(a) be the first derivative of j(a). Factor b(m).
(m - 1)*(5*m + 1)/5
Factor 0 + 1/4*x**2 - 155/2*x.
x*(x - 310)/4
Let k(q) = -12*q + 44 + 10*q**2 + 0*q**2 + 10*q**2 - 15 + 7. Let f(b) = b**2 + 1. Let j be (-9)/(-6)*8/6. Let x(p) = j*k(p) - 36*f(p). Factor x(m).
4*(m - 3)**2
Let q(w) be the second derivative of w**5/80 - 33*w**4/16 - 17*w**3/4 + 25*w**2 + 830*w. Find j such that q(j) = 0.
-2, 1, 100
Suppose -10*u = -49*u + 936. What is a in u - 77 + 114*a + 13 - 39 - 33 - 2*a**2 = 0?
1, 56
Let z = -12 - -6. Let o(b) = 20*b + 123. Let t be o(z). Suppose 0 + 0*x + 2/5*x**2 - 2/5*x**t = 0. What is x?
0, 1
Let j = 2137507889/12985980 - 225651/1372. Let g = j + 1/1262. Solve -g*x + 2/15*x**2 + 0 = 0.
0, 1
Let z(w) be the second derivative of 88*w + 10/9*w**3 + 1/30*w**5 + 0*w**2 + 0 - 7/18*w**4. Factor z(k).
2*k*(k - 5)*(k - 2)/3
Suppose -14*p = 14*p - 56. Determine d so that 13*d**2 + 47*d**4 + 6*d**5 + 47*d**3 + 17*d**3 + 3*d**5 + 24*d**2 - 25*d**p = 0.
-3, -2, -2/9, 0
Let x(z) = 8*z**4 - 49*z**2 + 248. Let d(s) be the third derivative of s**7/210 + s**5/60 + s**3/6 - 203*s**2. Let c(p) = 5*d(p) - x(p). Factor c(b).
-3*(b - 3)**2*(b + 3)**2
Let i(x) be the second derivative of x**7/2940 - x**6/420 - x**5/420 + x**4/28 + 4*x**3 + 2*x. Let h(m) be the second derivative of i(m). Factor h(d).
2*(d - 3)*(d - 1)*(d + 1)/7
Find d such that -28*d + 5*d**3 + 17*d**2 + 8*d - 2*d**2 - 60 + 0*d**2 = 0.
-3, -2, 2
Solve 2122 - 80*r**2 + 85*r - 25*r**3 - 4272 + 2170 = 0.
-4, -1/5, 1
Let n(c) be the second derivative of c**4/3 + 10*c**3 + 112*c**2 + 272*c. Let n(g) = 0. What is g?
-8, -7
Find i such that 28/3 + 1784*i**2 - 3952/3*i**3 - 752/3*i - 676/3*i**4 = 0.
-7, 1/13, 1
Let z(a) be the second derivative of 20/21*a**2 + 1/63*a**3 - 1/126*a**4 + 0 + 278*a. What is n in z(n) = 0?
-4, 5
Let t(a) be the second derivative of 3/2*a**4 - 18*a - 5*a**2 - 1/5*a**5 + 2*a**3 + 0. Find d such that t(d) = 0.
-1, 1/2, 5
Let o = -868900 - -868902. Factor -9/7*r + 12/7*r**o + 0 - 3/7*r**3.
-3*r*(r - 3)*(r - 1)/7
Let r = -51352 - -462172/9. Let r*p**2 + 16/3*p + 80/9 = 0. Calculate p.
-10, -2
Let x be 2*-4*2/(-28). Let z be 112/1512 - ((-448)/(-216) - 4). Solve 0 + x*r**z + 2/7*r**3 + 2/7*r = 0 for r.
-1, 0
Let f be 399/114*-2*(-18)/168*4. Suppose 0*n**f - 2/9*n**5 + 34/9*n**4 + 0 + 0*n + 0*n**2 = 0. Calculate n.
0, 17
Let p(t) = -2*t**2 + 68*t - 414. Let m be p(8). Let h(v) be the second derivative of 0*v**3 - 22*v + 0*v**4 - 1/135*v**6 + 1/90*v**5 + 0*v**m + 0. Factor h(z).
-2*z**3*(z - 1)/9
Let x(h) be the first derivative of h**4/4 + 10*h**3/3 - 107*h**2/2 + 204*h - 1104. Factor x(q).
(q - 4)*(q - 3)*(q + 17)
Let o(v) be the first derivative of 2*v**5/15 + 5*v**4/2 - 658*v**3/9 + 343*v**2 + 2744*v/3 - 2382. Find s such that o(s) = 0.
-28, -1, 7
Factor -146*u**3 - 35*u**4 + 306*u**3 - 2294*u**2 + 282*u**3 + 5929 + 3157*u + u**5.
(u - 11)**2*(u - 7)**2*(u + 1)
Let h(v) be the first derivative of 1/3*v**3 + 0*v - 141 - 35/2*v**2. Factor h(w).
w*(w - 35)
Let n(g) be the third derivative of -g**6/24 + 5*g**5/3 - 115*g**4/6 + 280*g**3/3 - 13*g**2 - 29*g. Factor n(z).
-5*(z - 14)*(z - 4)*(z - 2)
Suppose -3*o = -5*t + 15, -4*o = 4*t - o - 12. Suppose t*i = 4*i + i. Suppose 1/2*j**4 + 0*j + i*j**3 - 1/2*j**2 + 0 = 0. What is j?
-1, 0, 1
Let 43/5*k - 17/10 - 2/5*k**4 + 38/5*k**3 - 141/10*k**2 = 0. Calculate k.
1/2, 1, 17
Suppose 263 = -2*o + 273. Factor 20*w**2 - 14*w**3 + 29