q - 4)**2*(q + 1)**3/3
Let q(z) be the first derivative of z**5/40 + z**4/6 + 5*z**3/12 + z**2/2 - 22*z - 29. Let a(l) be the first derivative of q(l). Factor a(f).
(f + 1)**2*(f + 2)/2
Suppose 3*g - 24 = 5*d, g + 3*d - 24 = -2*g. Let i(n) = -n**2 + 14*n + 11. Let y be i(g). Factor -5*l**2 + y*l**2 + 41*l**2 + 10*l.
5*l*(19*l + 2)
Let f(c) be the first derivative of -1/20*c**5 - 3/8*c**4 + 0*c + 7 - 15*c**2 + 0*c**3. Let i(p) be the second derivative of f(p). Factor i(o).
-3*o*(o + 3)
Let v(x) be the third derivative of -x**6/24 + 79*x**5/6 - 775*x**4/6 + 1540*x**3/3 - 762*x**2. Determine r, given that v(r) = 0.
2, 154
Factor -14837*z - 14550*z + 29012*z - 770 + 5*z**2.
5*(z - 77)*(z + 2)
Let x be -3 + 29 - (-550 + 572). What is z in 44/3*z**3 - 8/3*z - 4*z**x + 4*z**2 - 12*z**5 + 0 = 0?
-1, -2/3, 0, 1/3, 1
Factor 698418*m + 5787/4*m**2 + 3/4*m**3 + 696972.
3*(m + 1)*(m + 964)**2/4
Suppose 0 = 23*l - 55 - 37. Suppose 4*t - 68 = 4*q - 64, t = -2*q + l. Factor 8/5*a**4 + 4/5*a**5 - 4/5*a - 8/5*a**t + 0*a**3 + 0.
4*a*(a - 1)*(a + 1)**3/5
Let w(g) be the second derivative of g**4/60 + 151*g**3/10 + 617*g + 7. Factor w(n).
n*(n + 453)/5
Let b(p) be the second derivative of 0 + 76*p + 0*p**2 - 1/3*p**4 + 0*p**3. Factor b(i).
-4*i**2
Suppose 39*j - 54 = 63. Suppose -5*s = r - 23, 19 = -j*r - 5*s + 48. Solve 5/4*b**2 - 2*b - 1/4*b**r + 1 = 0.
1, 2
Suppose 0 = 784*q - 777*q + 2436. Let g = q - -351. Factor 3/5*i**g - 6/5*i**2 + 3/5*i + 0.
3*i*(i - 1)**2/5
Suppose 0 - 2151/2*b + 3/2*b**2 = 0. Calculate b.
0, 717
Let v(u) = -18*u**2 + 136*u - 66. Let c be v(7). Let n(a) be the first derivative of 0*a**2 - 7 - a**c + 0*a + 8/3*a**3 - 4/5*a**5. Factor n(f).
-4*f**2*(f - 1)*(f + 2)
Let t(h) be the second derivative of -h**6/75 - h**5/10 + 44*h**4/15 + 572*h**3/15 + 96*h**2 - 7*h + 125. Find f, given that t(f) = 0.
-8, -6, -1, 10
Let a(d) be the first derivative of d**6/30 + 14*d**5/25 - d**4/4 - 14*d**3/3 + 2*d**2/5 + 56*d/5 + 3902. Let a(g) = 0. What is g?
-14, -2, -1, 1, 2
Let h(d) be the first derivative of -d**7/1680 - d**6/240 + d**4/12 + 79*d**3/3 + 2*d - 4. Let n(z) be the third derivative of h(z). Factor n(q).
-(q - 1)*(q + 2)**2/2
Find a such that 16*a**5 + 1170*a**2 - 15*a - 1575*a**3 + 15*a + 410*a**4 - 6*a**5 - 15*a**5 = 0.
0, 1, 3, 78
Suppose -392 + 884 - 171 = 107*c. Factor 513/2*x**c + 1/4*x**5 + 55/4*x**4 + 0 + 1458*x + 1701*x**2.
x*(x + 1)*(x + 18)**3/4
Let v(w) be the first derivative of -2/25*w**5 + 95 - 104/5*w**3 - 486/5*w + 378/5*w**2 + 11/5*w**4. Suppose v(t) = 0. What is t?
1, 3, 9
Let f be -3 + 7 - ((-34 - -31) + 4). What is t in -3/7*t**4 + 66/7*t - 72/7*t**2 - f + 30/7*t**3 = 0?
1, 7
Let u(y) = -y**3 - 6*y**2 - y - 4. Let z(m) = -2*m**2 + 19*m - 15. Let d be z(9). Let x be u(d). Factor -s**x + s**4 + 2*s**3 + s + 3*s - 3*s - 3*s**3.
s*(s - 1)**2*(s + 1)
Let g(t) = 212*t - 10364. Let u be g(49). Factor -u*p**2 - 16/3*p**3 + 13*p - 5/3.
-(p + 5)*(4*p - 1)**2/3
Let z = -25 + 18. Let m be z/7 - (-12 + -1). Let 38*y**3 - 2 - m*y**4 + 36*y - 97*y**2 - 4*y**4 - 2 + 34*y**3 = 0. Calculate y.
1/4, 2
Let t(o) be the first derivative of -o**3/24 - 57*o**2/8 - 333*o/8 + 4413. Factor t(x).
-(x + 3)*(x + 111)/8
Suppose -13090 = -3*f - 13*f - 13058. Factor -64/7*h + 66/7 - 2/7*h**f.
-2*(h - 1)*(h + 33)/7
Suppose -99 = -2*c - 73. Suppose m + 5*u - 3 = 0, 3*m + 2*u - c = -4. Find z such that -2/9*z**m + 0 + 0*z - 2/3*z**2 = 0.
-3, 0
Let d(r) be the second derivative of r**4/24 - 34*r**3/3 - 137*r**2/4 + 7*r - 67. Factor d(l).
(l - 137)*(l + 1)/2
Let g = 2738689/41919 - -19/41919. Factor -1/3*j**2 - g + 28/3*j.
-(j - 14)**2/3
Factor -11*p**2 - 4*p**2 - 26*p + 23*p**2 + 36 - 6*p**2 + 8.
2*(p - 11)*(p - 2)
Factor 33 - 7*q**2 + 2*q**2 + 0*q**2 + 6*q**2 - 4*q**2 - 30*q.
-3*(q - 1)*(q + 11)
Suppose 988*k - 962*k - 52 = 0. Let i(a) be the second derivative of -1/20*a**5 + 1/3*a**3 + 0*a**k + 38*a + 1/12*a**4 + 0. Suppose i(z) = 0. What is z?
-1, 0, 2
Factor -223587/5*d - 3/5*d**3 + 0 + 1638/5*d**2.
-3*d*(d - 273)**2/5
Suppose -153 = -6*i + 15*i. Let k be -1 + 1/1 + i + 330. Determine q so that -k - 7 + 10*q - 90*q - 5*q**2 = 0.
-8
Let b(q) = -3*q**2 + 12. Let o(s) be the first derivative of -2*s**3 + 24*s - 81. Let w(c) = -9*b(c) + 4*o(c). What is k in w(k) = 0?
-2, 2
Let t(r) be the second derivative of r**5/100 - r**4/20 + 2*r**2/5 - 68*r + 1. Factor t(b).
(b - 2)**2*(b + 1)/5
Suppose -t = -2*t + 6. Let h be ((-44)/(-1))/(-4*(-1)/t). Factor 31*s + h*s**2 + 18 + 48*s + 15*s**3 - 10*s.
3*(s + 1)*(s + 3)*(5*s + 2)
Let o(x) = -x**3 - 11*x**2 + 7*x - 189. Let g(r) be the first derivative of -r**3 + r + 139. Let p(z) = 28*g(z) - 4*o(z). Suppose p(n) = 0. Calculate n.
-4, 7
Let z(c) be the second derivative of 3/10*c**5 - 1/2*c**3 + 0*c**2 - 1/14*c**7 + 0*c**4 + 0*c**6 + 2*c - 1. Suppose z(g) = 0. What is g?
-1, 0, 1
Let g(m) = -2*m**2 - 25*m - 65. Let a be g(-4). Suppose -1/11*u**5 - 9/11 - 9/11*u**4 + 18/11*u**2 + 2/11*u**a - 1/11*u = 0. Calculate u.
-9, -1, 1
Let c = 57892/3 - 19297. Let t(k) be the first derivative of 2*k - 2/3*k**2 - 41 + 2/15*k**5 + c*k**4 - 8/9*k**3. Factor t(m).
2*(m - 1)**2*(m + 1)*(m + 3)/3
Suppose -3*c - 90 = 5*s - 8*c, -5*s + 4*c = 92. Let w be ((-48)/s)/4 - (-42)/(-70). Solve w + 8/11*v + 18/11*v**4 - 32/11*v**2 - 2*v**3 = 0 for v.
-1, 0, 2/9, 2
Let i(d) be the second derivative of -5*d**2 - 5/8*d**4 - 2/3*d**5 + 5/3*d**3 + 0 - 1/8*d**6 + 25*d. Let z(m) be the first derivative of i(m). Factor z(f).
-5*(f + 1)*(f + 2)*(3*f - 1)
Suppose 35*z - 25*z**4 + 7*z - 9*z**2 - z**2 + z**5 - 70*z**3 + 23*z + 35 + 4*z**5 = 0. Calculate z.
-1, 1, 7
Let l = -1348965/4 + 337242. Find g, given that -12 + 9/4*g**2 + 6*g**3 - l*g**4 - 33/2*g = 0.
-1, 2, 8
Factor 1/4*l**3 + 1449/4*l - 33/2*l**2 - 2646.
(l - 24)*(l - 21)**2/4
Factor -4/3 - 5/3*x + 2/3*x**3 - 1/6*x**4 + 1/2*x**2.
-(x - 4)*(x - 2)*(x + 1)**2/6
Let p(a) be the second derivative of -4*a**4/3 + 94*a**3 - 340*a**2 + 14*a + 12. Determine b, given that p(b) = 0.
5/4, 34
Suppose -4*p = -0*p - 4. Let i(y) = -13*y + y**3 + 6*y + 7*y + 1. Let m(j) = -7*j**3 - 3*j**2 + 3*j - 1. Let v(c) = p*m(c) + i(c). Factor v(g).
-3*g*(g + 1)*(2*g - 1)
Let h be (-17 + 1)/2 - ((-23)/138)/((-96)/(-4672)). What is o in -o + h*o**2 + 8/9 = 0?
1, 8
Let y = 4781/2745 - -32/549. Let m(f) be the first derivative of 0*f**3 + 0*f + 31 - y*f**5 + 0*f**4 - 1/2*f**6 + 0*f**2. What is k in m(k) = 0?
-3, 0
Factor 144/5*u - 128 + 4/5*u**2.
4*(u - 4)*(u + 40)/5
Suppose -11*l - 2 = -4*l - 8*l. Let y(f) be the first derivative of 0*f - 16 + 0*f**3 + 2/105*f**5 - 1/21*f**4 + 0*f**l. Factor y(c).
2*c**3*(c - 2)/21
Suppose 2*j = a, 16*j - 5 + 8 = 4*a + 3. Factor 0 - 8/3*o**2 - 8/3*o**3 + a*o - 2/3*o**4.
-2*o**2*(o + 2)**2/3
Let h(r) be the first derivative of -9*r**2 + 4/3*r**3 - 1/18*r**4 - 42 + 0*r. Suppose h(q) = 0. Calculate q.
0, 9
Let q(j) = -j**3 - 8*j**2 - 10*j - 5. Let w be q(-7). Let a = w - 14. Determine b, given that b**2 + 3*b - a*b**2 - 2*b**4 + 7*b**4 - 3*b**3 - 4*b**4 = 0.
-1, 0, 1, 3
Let l be (20/55)/(9/99). Find a such that 1/3*a**2 - l*a + 11/3 = 0.
1, 11
Suppose 21*f = 19*f + 6. Let y(k) = -2*k**2 - 58 + 65 - 6*k**3 + k + k**2 - f*k. Let u(h) = -h**3 + 1. Let o(w) = -35*u(w) + 5*y(w). Solve o(t) = 0 for t.
-1, 0, 2
Suppose 5*w = 4*w + 11. Solve 61*k**3 - 157*k**4 - 412*k**2 + 177*k**4 + w*k**3 + 432*k - 112 = 0.
-7, 2/5, 1, 2
Let p be (-15 + 2156/140)*3/(18/5). Factor -1/6 + p*n**3 + 0*n**2 - 1/3*n + 1/6*n**4.
(n - 1)*(n + 1)**3/6
Let k(m) be the first derivative of -m**6/10 - 9*m**5/4 - 107*m**4/8 - 12*m**3 - 135*m**2/2 + 105. Let c(d) be the second derivative of k(d). Factor c(r).
-3*(r + 3)*(r + 8)*(4*r + 1)
Let l(j) be the first derivative of -17*j**3 + 24/5*j**5 + 9/2*j**4 - 45/4*j**2 + 3/4*j**6 + 27*j + 43. Suppose l(w) = 0. What is w?
-3, -1, 2/3, 1
Let o(c) be the second derivative of c**6/45 - 41*c**5/15 + 1597*c**4/18 + 1148*c**3/3 + 588*c**2 + 3*c + 454. Find z such that o(z) = 0.
-1, 42
Let c(w) be the first derivative of -280/3*w**3 + 5/6*w**6 - 30*w**2 + 6*w**5 + 720*w - 96 - 15/4*w**4. What is b in c(b) = 0?
-4, -3, 2
Let b(m) be the third derivative of -1/120*m**5 - 5/24*m**4 + 0 + 11/12*m**3 - 9*m - m**2. Find d such that b(d) = 0.
-11, 1
Factor 157758*s**3 + 44*s**2 - 15*s**4 + 0*s**4 - 79