2 = -958*w. Let 0*t - 2/11 + 2/11*t**w = 0. Calculate t.
-1, 1
Let t(n) be the first derivative of n**3/3 - 5*n**2/2 - 1. Suppose t(p) = 0. Calculate p.
0, 5
Suppose -13 = -n - 39. Let a = 27 + n. Factor -a + l + l**2 + 0 + 1.
l*(l + 1)
Let r be (1/(-8))/(12 + 5). Let n = r - -71/408. Factor -1/6*k**2 + n - 1/6*k + 1/6*k**3.
(k - 1)**2*(k + 1)/6
Let p be (9/12)/((-6)/(-4)). Let h = -74 - -76. Let -p*j**h + 1/2*j + 1 = 0. What is j?
-1, 2
Let a(o) be the second derivative of 0*o**3 + 0 - 1/48*o**4 + 0*o**2 - 10*o + 1/80*o**5. Let a(c) = 0. What is c?
0, 1
Determine k, given that 48/7*k**2 - 32/7*k - 18/7*k**3 + 2/7*k**4 + 0 = 0.
0, 1, 4
Let m(h) be the first derivative of h**5/12 + 25*h**4/24 + 10*h**3/3 - 3*h**2 + 7. Let z(l) be the second derivative of m(l). Determine i so that z(i) = 0.
-4, -1
Let g be 2572/40 - (-54)/(-180). Suppose 6*a**4 + 473*a**2 + g - 203/2*a**3 - 368*a = 0. Calculate a.
1/4, 2/3, 8
Let q(z) be the third derivative of -z**5/60 + 5*z**4/8 - 6*z**3 + 710*z**2. Find c such that q(c) = 0.
3, 12
Let g(a) = -a**3 + a. Let h be 8/12 + (-76)/(-3). Let k = -14 + h. Let i(l) = 18*l**3 - 15*l**2 - 3. Let s(o) = k*g(o) + i(o). Solve s(p) = 0 for p.
1/2, 1
Let d(w) be the third derivative of w**6/30 - w**5/5 - 4*w**4 + 160*w**3/3 + 31*w**2. Solve d(r) = 0.
-5, 4
Let d(a) be the second derivative of 0 - 1/21*a**3 - 6*a + 1/12*a**4 + 1/35*a**5 + 0*a**2. Factor d(x).
x*(x + 2)*(4*x - 1)/7
Suppose -2*w + 3*h = -21, 3*h = -0*h - 15. Determine b, given that 7*b**3 + 5*b**3 - 2*b + 8*b**2 - 12*b**3 + 2*b**w - 8*b**4 = 0.
-1, 0, 1/4, 1
Let y be (-6)/(-5)*(-3 - -8). Suppose 3*h**4 + 49*h**2 + y*h**3 - 49*h**2 = 0. What is h?
-2, 0
Suppose 16*x = -2*x + 54. Suppose 0 - 8/5*c - 6/5*c**2 + 2/5*c**x = 0. Calculate c.
-1, 0, 4
Let b(k) = 4*k**3 - k**2 + k + 4. Let y be b(-3). Let z = -116 - y. Let z*q - 3/4 + 3/4*q**2 = 0. Calculate q.
-1, 1
What is z in -300*z + 364*z**4 - 360 + 55*z**3 + 367*z**4 - 726*z**4 + 110*z**2 = 0?
-6, -1, 2
Let a(i) be the first derivative of i**4/2 + 4*i**3/3 - i**2 - 4*i + 6. Let a(p) = 0. Calculate p.
-2, -1, 1
Let t = -57 - -55. Let g(k) = 8*k**2 + 13*k - 5. Let h(r) = 4*r**2 + 6*r - 2. Let q(f) = t*g(f) + 5*h(f). Factor q(v).
4*v*(v + 1)
Let z(s) be the first derivative of 3*s**5/20 - 19*s**4/4 + 40*s**3 + 150*s**2 - 22*s + 20. Let t(o) be the first derivative of z(o). Factor t(b).
3*(b - 10)**2*(b + 1)
Let f(b) = -b**2 + 5*b + 16. Let w = -33 - -40. Let v be f(w). Solve 1/2*i**3 - 1/2*i**5 + 0 + 1/2*i**v - 1/2*i**4 + 0*i = 0 for i.
-1, 0, 1
Let a(f) = -f**3 + 9*f**2 - 5*f + 12. Let r be a(8). Let o be r/10 + (-45)/75. Factor 5*c**o + 0 + c**4 - 2 + c**4 - 4*c - c**3.
2*(c - 1)*(c + 1)**3
Let z(h) be the second derivative of 4/15*h**3 - 1/5*h**4 - 1/25*h**5 + 2/25*h**6 - 2/105*h**7 - 13*h + 0 + 0*h**2. Find k such that z(k) = 0.
-1, 0, 1, 2
Let s = -31864/435 - -1668/29. Let i = 82/5 + s. Let -4/3*o**3 + 2/3*o**5 - i - 2/3*o**4 + 2/3*o + 4/3*o**2 = 0. What is o?
-1, 1
Let y(m) = m**2 + 11*m + 20. Let d be y(-9). Let j(u) be the third derivative of 0*u + 2*u**d + 2/9*u**3 - 1/9*u**4 + 1/45*u**5 + 0. Factor j(x).
4*(x - 1)**2/3
Let q be 21 + ((-529)/23 - -6). Solve 12/17*h**3 - 24/17 + 18/17*h**2 + 2/17*h**q - 8/17*h = 0 for h.
-3, -2, 1
Suppose 4*y - 2*d - 50 = 0, 4*y - 3*d - 19 = 32. Suppose 3*l + 0*l = -5*h - 2, 2*l + y = 2*h. Solve -3*a - a**3 - 3 + 2*a**3 + 2 + a**2 + h*a = 0 for a.
-1, 1
Suppose -2*b + 18 = -24. Suppose 11*l = 12 + b. Factor 0*w + 9/2*w**4 + 2*w**5 + 1/2*w**2 + l*w**3 + 0.
w**2*(w + 1)**2*(4*w + 1)/2
Let n(b) = -5*b + 21. Let d be n(3). Suppose d*o = -12*o + 54. Factor 4/9*u**2 + 0*u + 2/3*u**o - 2/9*u**5 + 0 + 0*u**4.
-2*u**2*(u - 2)*(u + 1)**2/9
Let i(n) be the first derivative of n**6/120 - n**5/12 - 13*n**4/24 - 7*n**3/6 + 8*n**2 + 29. Let v(b) be the second derivative of i(b). Factor v(u).
(u - 7)*(u + 1)**2
Let m(o) be the third derivative of o**7/1470 + o**6/420 - o**5/105 - o**4/21 - 3*o**2 - 32*o. Factor m(q).
q*(q - 2)*(q + 2)**2/7
Let a be (-7)/(-6)*(-8)/((-1120)/12). Factor 1/10*f**3 - 1/10 - a*f + 1/10*f**2.
(f - 1)*(f + 1)**2/10
Let t(m) be the third derivative of 9*m**8/112 + m**7/140 - 41*m**6/60 + 33*m**5/40 + m**4/4 - m**3/3 + 6*m**2 - 5. Determine o, given that t(o) = 0.
-2, -2/9, 1/6, 1
Solve 14/17*y**3 + 2/17*y**4 - 44/17 - 78/17*y**2 + 106/17*y = 0 for y.
-11, 1, 2
Let q be (-5 + 44/11)*0. Let k(z) be the first derivative of 0*z + 0*z**3 - 1/4*z**4 + q*z**5 + 0*z**2 + 1/6*z**6 - 5. Factor k(t).
t**3*(t - 1)*(t + 1)
Let x(g) be the first derivative of 2*g**5/35 - 2*g**4/7 + 10*g**3/21 - 2*g**2/7 + 149. Factor x(z).
2*z*(z - 2)*(z - 1)**2/7
Factor 210*v**3 - 3586 - 2526*v - 7134*v + 498*v**2 - 5*v**4 - 457 - 6537 - 2243*v**2.
-5*(v - 23)**2*(v + 2)**2
Let z(k) be the second derivative of -1/33*k**6 + 0 + 1/231*k**7 + 1/11*k**5 - 5*k - 1/11*k**2 + 5/33*k**3 - 5/33*k**4. Solve z(u) = 0.
1
Let i(u) be the first derivative of -2/3*u - 13 - 128/9*u**3 + 16/3*u**2. Determine j so that i(j) = 0.
1/8
Factor 159/2*q**3 - 349/8*q**2 - 46*q**4 - 3/4 + 8*q**5 + 77/8*q.
(q - 3)*(q - 2)*(4*q - 1)**3/8
Suppose t = 6, -3*o + 10*t - 7*t - 12 = 0. Find h such that 5/2*h**5 - 3/2*h**4 + 3/2*h**o + 0 - 7/2*h**3 + h = 0.
-1, -2/5, 0, 1
Let w(x) be the first derivative of -x**4/4 + 2*x**3 + 63*x**2/2 - 392*x + 618. Factor w(l).
-(l - 7)**2*(l + 8)
Suppose 3*m + m - 16 = 0. Suppose m*l = -4*i + 4 - 0, 4*l - 2*i = 16. Suppose 4*k**5 - 3*k**2 - 10*k**l + 9*k**2 + k**3 - k**5 = 0. What is k?
-2, 0, 1
Let g(q) = -q**4 + q**3 + q**2 - 1. Let l = -4 - -6. Let d(w) = -10 + 18 + 2*w + 10*w**2 - 10*w**4 - 17 + 7*w**3. Let i(n) = l*d(n) - 18*g(n). Factor i(m).
-2*m*(m - 1)*(m + 1)*(m + 2)
Suppose 28 = -2*k + 9*k. Let j be (-4)/26 + 57/117. Solve -3/2*h**2 + 2*h**3 + j*h + 0 - 5/6*h**k = 0 for h.
0, 2/5, 1
Let g(x) be the second derivative of 3*x**4 - 80*x**3/3 + 32*x**2 - 9*x - 9. Factor g(u).
4*(u - 4)*(9*u - 4)
Suppose -6 = n - 10. Determine b, given that -n*b**2 - 2*b + 2*b**5 + 23*b**3 - 23*b**3 + 4*b**4 = 0.
-1, 0, 1
Let f(t) be the second derivative of t**7/14 - 29*t**6/40 + 45*t**5/16 - 85*t**4/16 + 41*t**3/8 - 9*t**2/4 - 6*t + 1. Determine o, given that f(o) = 0.
1/4, 1, 2, 3
Let t be -10 + 12 + -8 + 8. Let c(n) be the second derivative of -1/16*n**t - 1/96*n**4 + 1/24*n**3 + 0 + n. Solve c(w) = 0.
1
Let -3/4*f**3 - f**2 + 0 + 1/4*f**4 + 0*f = 0. What is f?
-1, 0, 4
Let n(f) be the first derivative of -2*f**3/15 + 2*f**2 + 120. Find p, given that n(p) = 0.
0, 10
Factor 26 - 5*v**2 + 234*v - 84*v - 105*v + 24.
-5*(v - 10)*(v + 1)
Let o be ((-5)/4)/(14/(-56)). Let z be 1/o + 11/(-330). Let z*b**4 - 1/2*b**3 + 1/2*b**2 + 0 - 1/6*b = 0. Calculate b.
0, 1
Let j(x) = -11*x**4 + 15*x**3 + 23*x**2 - 8*x - 5. Let y(h) = -6*h**4 + 8*h**3 + 12*h**2 - 4*h - 2. Let v(r) = -4*j(r) + 7*y(r). Find i, given that v(i) = 0.
-1, 1, 3
Let l(g) be the first derivative of -4*g**5/45 - 5*g**4/18 + 58*g**3/27 + 8*g**2/9 - 40*g/3 - 130. Suppose l(h) = 0. What is h?
-5, -3/2, 2
Let a(p) be the first derivative of -p**4/2 - 8*p**3/3 - 5*p**2 - 4*p + 408. Factor a(u).
-2*(u + 1)**2*(u + 2)
Let g(k) be the first derivative of -k**4/16 - 5*k**3/12 + k**2 + 3*k + 74. Solve g(n) = 0 for n.
-6, -1, 2
Let b(j) = -2*j**2 + 28*j + 5. Let h be b(14). Factor -n**3 + 2*n + 6 - 10 + h*n + 0 - 2*n**2.
-(n - 1)**2*(n + 4)
Solve 0*h**2 + 3*h**2 - 28*h - 8 + 18*h - h**2 - 4*h**2 = 0 for h.
-4, -1
Let d(f) be the first derivative of -3*f**4/4 - f**3/2 + 3*f**2/2 + 3*f/2 + 106. Factor d(x).
-3*(x - 1)*(x + 1)*(2*x + 1)/2
Suppose 5*l = 6*l. Let c(o) = o**3 + 4*o**2 + 3*o. Let p be c(-2). Factor 3*g**p + l*g + g - g.
3*g**2
Solve -1/3*o**3 + 0 + 0*o - 3*o**2 = 0.
-9, 0
Find m, given that 65/3*m**2 + 0*m + 256/3*m**4 - 259/3*m**3 + 4/3*m**5 + 0 = 0.
-65, 0, 1/2
What is s in -136/11*s - 128/11 - 40/11*s**2 - 2/11*s**3 = 0?
-16, -2
Let o(v) be the third derivative of -3*v**7/280 - 13*v**6/480 + 7*v**5/40 - 220*v**2. Let o(n) = 0. Calculate n.
-3, 0, 14/9
Let q(y) be the second derivative of -y**4/18 - 8*y**3/27 - 2*y - 48. Solve q(t) = 0 for t.
-8/3, 0
Let k be 2/3 - (-102)/9. Suppose -3*w + 4*j - k = 0, -w + 25 = 5*j + 10. Suppose 1/2*x**3 + w*x + 0 + 1/2*x**2 = 0. What is x?
-1, 0
Solve 167*l**2 + 370*l + 38*l**2 - 585*l**2 - 7590*l - 5*l**3