- 3*b - 46*b - 156*b - 16*b**2.
-4*(b + 2)*(b + 3)*(b + 9)
Let b(g) = -2*g + 8. Let c be b(2). Let s be (4/(-48)*c)/(35/(-10)). Suppose -s*u**2 + 10/21*u + 0 = 0. Calculate u.
0, 5
Let m(a) be the second derivative of -a**6/90 + a**4/6 + a**3/6 + 4*a**2 - 9*a - 1. Let d(q) be the second derivative of m(q). Determine i so that d(i) = 0.
-1, 1
Let y(n) = -2*n**3 + n - 1. Let o be 1 + (-11)/(77/21). Let b(s) = -19*s**3 + 20*s**2 - 59*s + 55. Let l(c) = o*b(c) + 18*y(c). Let l(j) = 0. What is j?
2, 16
Let g(n) be the second derivative of -n**4/42 - 682*n**3/21 + 683*n**2/7 - 3*n - 479. Determine r, given that g(r) = 0.
-683, 1
Let l(z) be the first derivative of -360*z**3 - z**5 + 135/4*z**4 + 1080*z**2 + 187 + 0*z. Factor l(q).
-5*q*(q - 12)**2*(q - 3)
Let b = 14 + 8. Let l(z) = -z + 9. Let r be l(7). Determine a, given that -18*a - 19*a**2 + b*a**r + 3*a = 0.
0, 5
Let u(z) be the first derivative of -z**7/1365 - z**6/780 + z**5/78 - z**4/52 - 43*z**2/2 - 62. Let g(j) be the second derivative of u(j). Factor g(r).
-2*r*(r - 1)**2*(r + 3)/13
What is l in 9*l**2 - 42 - 1/2*l**3 + 67/2*l = 0?
-4, 1, 21
Let j(p) be the first derivative of -4/3*p**3 - 3136*p + 112*p**2 + 147. Factor j(k).
-4*(k - 28)**2
Let q(f) be the first derivative of f**5/150 + 11*f**4/30 + 121*f**3/15 - 37*f**2/2 - 50. Let p(l) be the second derivative of q(l). Factor p(a).
2*(a + 11)**2/5
Let c = 118/63 + -13/9. Let r be (572/(-39) + 16)/((-8)/(-18)). Suppose 12/7*p**r - 9/7 + c*p**4 + 6/7*p**2 - 12/7*p = 0. Calculate p.
-3, -1, 1
Let r(i) be the first derivative of -5*i**6/6 - 110*i**5 - 270*i**4 + 10*i**3/3 + 1085*i**2/2 + 540*i - 110. Solve r(s) = 0 for s.
-108, -1, 1
What is f in -13536/11*f**2 - 2/11*f**5 - 1616/11*f**3 - 54432/11*f - 92/11*f**4 - 84672/11 = 0?
-14, -6
Let w(x) be the third derivative of -1/30*x**6 - 7 + 0*x**3 + 0*x - 1/3*x**4 - x**2 - 1/5*x**5. Determine l, given that w(l) = 0.
-2, -1, 0
Suppose 107539 + 104652 = 1520*l - 64449. Factor 0 - 196*d**2 + 0*d + l*d**3 + 55/4*d**4 + 1/4*d**5.
d**2*(d - 1)*(d + 28)**2/4
Let y(q) be the first derivative of -q**6/10 - 3*q**5/20 + 5*q**4/4 - 3*q**3/2 + 47*q - 16. Let m(d) be the first derivative of y(d). Solve m(g) = 0 for g.
-3, 0, 1
Let -3/5*u**3 - 36/5*u**2 + 0 - 81/5*u = 0. Calculate u.
-9, -3, 0
Let i(m) be the first derivative of -20*m**3/3 + 244*m**2 - 896*m - 12089. Factor i(n).
-4*(n - 2)*(5*n - 112)
Solve -130*m**2 + 4*m - 35752*m**4 + 216*m**3 + 73189*m**4 - 36599*m**4 + 488*m**5 = 0.
-1, 0, 2/61, 1/4
Let z(k) be the third derivative of -3*k + 3/8*k**4 + 51*k**2 + 0 - 5/4*k**3 - 1/40*k**5. Factor z(c).
-3*(c - 5)*(c - 1)/2
Let c(r) be the second derivative of -43/14*r**3 - 31/28*r**4 + 1/70*r**6 + 0 - 27/7*r**2 + 40*r - 3/28*r**5. Let c(p) = 0. Calculate p.
-2, -1, 9
Let n = -37601/2 + 18801. Suppose -28*o + 36 = -19*o. Factor -n*l**3 - 1/2*l**2 + 1/2*l + 0 + 1/2*l**o.
l*(l - 1)**2*(l + 1)/2
Let o(n) = -2*n**3 - 19*n**2 - 13*n - 12. Let d be o(-9). Let p be -2 - d/(-10) - 16/(-10). Factor -6*s**2 - 4*s**4 + 15*s**p - s**2 - 4.
-4*(s - 1)**2*(s + 1)**2
Let g be (-24)/(7 + -11) - 6/2. Let a(k) be the third derivative of -1/10*k**5 - k**2 + 0 - k**g + 0*k + 5/8*k**4. Suppose a(w) = 0. What is w?
1/2, 2
Let p(v) be the third derivative of v**5/120 - 5*v**4/24 + 4*v**3/3 + 87*v**2 + 7*v. Factor p(d).
(d - 8)*(d - 2)/2
Suppose -c + 6 = -0*c. Let t be (2*4)/((-3)/(c/(-4))). Let -7*g**3 - 6*g + 14*g**2 - 3*g**3 - 6*g**3 + 9*g**t - 2*g**5 - 1 + 2 = 0. Calculate g.
1/2, 1
Let z(b) be the first derivative of -b**6/54 + 8*b**5/45 - b**4/4 - 22*b**3/27 + 10*b**2/9 + 8*b/3 + 3852. Suppose z(c) = 0. What is c?
-1, 2, 6
Let j = -784 - -795. Suppose 20 = -6*l + j*l. Find g such that -2/3*g - 2*g**2 - 2*g**3 + 0 - 2/3*g**l = 0.
-1, 0
Let b(y) be the first derivative of y**7/385 - y**6/110 - y**5/22 + 3*y**4/22 + 108*y**2 + 140. Let l(h) be the second derivative of b(h). Factor l(i).
6*i*(i - 3)*(i - 1)*(i + 2)/11
Let y(b) = 34*b**2 - 6*b - 19. Let l(o) = -58*o**2 + 10*o + 32. Let d(x) = 7*l(x) + 12*y(x). Solve d(c) = 0.
-1, 2
Let n be -2 - 3 - 4633/(-861). Suppose 0 + 2*h**3 + 34/21*h**2 + 2/7*h**4 - n*h**5 + 2/7*h = 0. What is h?
-1, -1/4, 0, 3
Let f(i) be the first derivative of 0*i - 1/12*i**2 - 49 + 1/6*i**3 + 1/6*i**4. Factor f(q).
q*(q + 1)*(4*q - 1)/6
Let a be (-1)/(-3)*(-222)/(-481) - (-26)/(-169). Determine l so that -1/2*l**4 - 15/2*l**2 + a - 9/2*l**3 + 25/2*l = 0.
-5, 0, 1
Let v(k) be the third derivative of 1/560*k**7 + 53*k**2 + 0 + 0*k**3 + 41/160*k**5 + 0*k**4 - k + 21/160*k**6. Suppose v(q) = 0. Calculate q.
-41, -1, 0
Let n(y) = -y**5 - 2*y**4 - 3*y**3 + 1. Let l(g) = 16*g**5 + 12*g**4 + 28*g**3 + 132*g**2 - 80*g - 18. Let k(h) = 2*l(h) + 36*n(h). Suppose k(q) = 0. What is q?
-10, -4, 0, 1
Let j(a) be the second derivative of -a**5/100 + 37*a**4/60 - 371*a**3/30 + 1127*a**2/10 + 9*a + 124. Solve j(p) = 0.
7, 23
Let y = -142363/3 + 1565999/33. Solve -y*w**4 + 0 - 8/11*w**2 + 0*w - 8/11*w**3 = 0.
-2, 0
Let t(r) be the first derivative of -4/3*r**3 - 2 + 5/2*r**2 - 2*r + 1/4*r**4. Factor t(o).
(o - 2)*(o - 1)**2
Let w(r) be the second derivative of 5*r**4/12 - 525*r**3/2 - 790*r**2 - 4483*r. Suppose w(a) = 0. What is a?
-1, 316
What is i in 32 + 9/2*i**3 + 1/2*i**4 - i**2 - 36*i = 0?
-8, -4, 1, 2
Suppose 26*z - 24*z = 32*z + 26*z. Let w(x) be the third derivative of -1/60*x**6 + 0*x**4 - 6*x**2 - 1/10*x**5 + z + 4/3*x**3 + 0*x. What is y in w(y) = 0?
-2, 1
Let q(a) = 2*a**2 - 2*a + 1. Suppose -75*l + 67*l + 16 = 0. Let c(r) = 11*r**2 - 23*r + 10. Let t(z) = l*q(z) + c(z). Factor t(p).
3*(p - 1)*(5*p - 4)
Let a = -13 + 49. Let f = -32 + a. Solve 3*o**2 + 10*o + 7*o**3 + 0*o - 17*o**3 - 5*o**f + 2*o**2 = 0 for o.
-2, -1, 0, 1
Let d be -8 - (-8)/800*-685. Let h = 61/4 + d. Factor -h - 2/5*u + 2/5*u**2 + 2/5*u**3.
2*(u - 1)*(u + 1)**2/5
Suppose -10*o - 73 - 47 = 0. Let n be (7 - (-78)/o)/(2/8). Solve -22/3*k**2 + n*k**3 + 16/3*k + 8/3 = 0.
-1/3, 2
Let n(z) be the first derivative of 2*z**3/45 - 431*z**2/15 + 572*z/5 + 1198. Factor n(h).
2*(h - 429)*(h - 2)/15
Let l(v) be the first derivative of -5*v**5 - 40*v**4 + 115*v**3/3 + 785*v**2 + 600*v + 1260. Let l(u) = 0. What is u?
-5, -4, -2/5, 3
Let i(x) = x**3 - 4*x**2 - 3*x - 7. Suppose 4*p + 2*z - 22 = 0, 2*p = -z - 4*z + 15. Let b be i(p). Solve -7 - 3*o - 3*o + 45*o**2 - 29*o - b = 0 for o.
-2/9, 1
Let m(x) be the first derivative of -x**5/60 + x**4/24 + x**3/3 + 47*x**2 + 140. Let y(o) be the second derivative of m(o). Factor y(g).
-(g - 2)*(g + 1)
Suppose u = -3*c + 8, 4*c - 5*u - 15 = -2*u. Find z, given that 7*z**3 + 20*z + 8 + c*z**3 - 16*z**2 - 24*z**3 + 2*z**3 = 0.
-2, -1/3, 1
Factor -177*h**2 + 63*h + 3*h**3 - h - 18*h + h**3.
h*(h - 44)*(4*h - 1)
Let z be 6/9 - (-2)/(-3). Suppose 30*f - 32*f + 4 = z. Determine h, given that -8*h - h**f + 10*h**2 - 7*h**2 = 0.
0, 4
Let f(l) be the third derivative of 168*l**2 - 1 + 1/40*l**4 + 0*l + 1/75*l**5 + 0*l**3. Factor f(n).
n*(4*n + 3)/5
Let y(i) be the second derivative of 11/18*i**3 + 1 - 7/9*i**2 + 1/2*i**4 + 47*i + 7/180*i**5. Factor y(l).
(l + 1)*(l + 7)*(7*l - 2)/9
Let t be (-19)/(-133)*(-35)/(-60). Let v(o) be the second derivative of 0*o**3 - 1/72*o**4 - 13*o + t*o**2 + 0. Factor v(j).
-(j - 1)*(j + 1)/6
Let q(c) be the third derivative of c**6/210 + 163*c**5/420 + 17*c**4/24 - 20*c**3/21 + 253*c**2. Let q(k) = 0. Calculate k.
-40, -1, 1/4
Let b(x) be the second derivative of -x**4/96 - x**3/8 + 9*x**2/2 - 406*x. Factor b(c).
-(c - 6)*(c + 12)/8
Factor -38/5*p**2 + 0 + 39/5*p - 1/5*p**3.
-p*(p - 1)*(p + 39)/5
Suppose -1866*x**3 + 3*x**3 + 42575*x**2 - 7007*x**3 + 555*x**4 - 980 - 53620*x = 0. What is x?
-2/111, 2, 7
Let b(r) = -1255*r**3 + 15238*r**2 - 14078*r + 194. Let q(a) = 314*a**3 - 3808*a**2 + 3520*a - 48. Let o(j) = -2*b(j) - 9*q(j). Let o(s) = 0. Calculate s.
1/79, 1, 11
Let v(c) be the second derivative of c**5/4 - 5*c**4/12 - 215*c**3/3 + 600*c**2 - 58*c + 7. Factor v(y).
5*(y - 8)*(y - 3)*(y + 10)
Let k be (1 + -1)/(-10 + 11). Let m(t) be the second derivative of 1/6*t**4 + 16*t + 8/3*t**3 + k + 16*t**2. Factor m(d).
2*(d + 4)**2
Let q(m) be the second derivative of -m**4/24 - 55*m**3/12 + 14*m**2 - 6654*m. Find u, given that q(u) = 0.
-56, 1
Let a be -4 - (-3 + 5) - 36431/(-6069). Let