4*l**2 + 1/2 + 1/4*l + 11/4*l**b = 0. What is l?
-1/3, 1, 2
Let t be (12/(-55))/3*140/(-8). Let z = t - 17/22. What is o in -z*o**2 + 1/4*o**5 + 1/4 + 1/4*o**4 + 1/4*o - 1/2*o**3 = 0?
-1, 1
Let q(z) = 269*z - 1881. Let d be q(7). Factor 0 + 4*b**d - 4/3*b**3 + 0*b.
-4*b**2*(b - 3)/3
Let j = 26 - 4. Suppose -5*b + j = 7. Factor -3*q - q**b + 7*q - 4*q**2 + 4 - 3*q**3.
-4*(q - 1)*(q + 1)**2
Let d(h) be the second derivative of -3*h**5/20 + 19*h**4/2 + 79*h**3/2 + 60*h**2 + 364*h. Factor d(l).
-3*(l - 40)*(l + 1)**2
Let n(d) = -15*d. Let o be n(-1). Let r = -7 + o. Let r*s**2 - 2*s**2 - 4*s**3 - 5 + 3 = 0. What is s?
-1/2, 1
Let r(u) be the second derivative of u**5/80 - u**4/8 + 3*u**3/8 - u**2/2 + 67*u. Factor r(f).
(f - 4)*(f - 1)**2/4
Let o(r) be the first derivative of -r**6/3 + 32*r**5/5 - 93*r**4/2 + 508*r**3/3 - 332*r**2 + 336*r + 177. Suppose o(k) = 0. Calculate k.
2, 3, 7
Let p(a) be the second derivative of -a**4/30 + 11*a**3/15 + 12*a**2/5 + 69*a. Factor p(h).
-2*(h - 12)*(h + 1)/5
Let o(m) be the first derivative of -15 + 0*m**2 + 1/3*m**3 + 3/4*m**4 + 0*m. Let x(a) = 12*a**3 + 3*a**2. Let y(u) = 9*o(u) - 2*x(u). Let y(i) = 0. What is i?
-1, 0
Factor -t**3 + 73*t - 4096 - 59*t + 22*t**2 - 70*t**2 - 782*t.
-(t + 16)**3
Let d(z) be the first derivative of -3*z - 1/15*z**3 + 0*z**2 + 4 + 1/100*z**5 - 1/60*z**4. Let m(l) be the first derivative of d(l). Factor m(w).
w*(w - 2)*(w + 1)/5
Let x be -21 - ((-4128)/10)/16. Find r, given that 18/5*r**3 + 6/5*r**5 + 14/5*r**2 + 8/5 - x*r - 22/5*r**4 = 0.
-1, 2/3, 1, 2
What is c in 255*c - 83*c**2 - 214*c**3 - 239*c**2 + 3*c**4 - c**5 + 5*c**4 - 40*c**3 + 25*c**4 + 289 = 0?
-1, 1, 17
Let v(l) be the third derivative of -l**7/420 + l**6/120 + l**5/10 - 5*l**4/6 + 8*l**3/3 + 71*l**2. Let v(b) = 0. Calculate b.
-4, 2
Let b be 3/((-6)/4) + (-15 - -18). Suppose 0 = -5*u - 3*c - 2, 2*c + b = -5*u + 3. Find x, given that 0 - 4/7*x**4 + 8/7*x**3 - 4/7*x**5 + 0*x**u + 0*x = 0.
-2, 0, 1
Let z(f) be the third derivative of -f**7/420 + f**6/24 - 4*f**5/15 + 2*f**4/3 + 2*f**2 - 50. Solve z(x) = 0.
0, 2, 4
Let u be 442/51 + 4/(-6). Determine y, given that -12*y - 3*y**2 + 5 - u - 6 = 0.
-3, -1
Suppose -2*c + 38 = 3*c - 2*d, -2*c + 16 = -d. Let m be 90/(-20)*(-4)/c. Suppose m*f - 3*f**3 - f**2 - 3 + f**2 + 3*f**2 = 0. What is f?
-1, 1
Let j(v) be the second derivative of -v**6/6 - v**5/4 + 5*v**4/2 - 14*v + 1. Factor j(s).
-5*s**2*(s - 2)*(s + 3)
Let c(m) be the first derivative of 1/6*m**3 - m - 1/12*m**4 + 7 - 1/8*m**2. Let d(n) be the first derivative of c(n). Factor d(r).
-(2*r - 1)**2/4
Let l(x) = -x + 8. Let r be l(4). Let o = -43 + 61. Factor o + 0*v - 5*v - r*v - 3*v + 2*v**2.
2*(v - 3)**2
Let p(j) be the first derivative of 4*j**5/25 + 6*j**4/5 + 32*j**3/15 - 12*j**2/5 - 36*j/5 - 34. What is q in p(q) = 0?
-3, -1, 1
Find b, given that 0 - 3/2*b**2 - 7*b = 0.
-14/3, 0
Let c(x) be the first derivative of -2*x**3/3 + 18*x**2 - 64*x + 135. Factor c(o).
-2*(o - 16)*(o - 2)
Let m(a) be the second derivative of -a**6/90 - a**5/10 - 13*a**4/36 - 2*a**3/3 - 2*a**2/3 - 286*a. Determine v, given that m(v) = 0.
-2, -1
Let a be 4 - (-5 + (-5)/((-120)/212)). Let d(w) be the second derivative of 2/3*w**3 - w - w**2 + 0 - a*w**4. Let d(s) = 0. Calculate s.
1
Let a(l) be the third derivative of l**6/720 - l**5/80 + l**4/24 + 3*l**3 - 6*l**2. Let h(c) be the first derivative of a(c). Suppose h(r) = 0. Calculate r.
1, 2
Let x(z) = -z**3 + 12*z**2 + 7*z - 7. Let j be x(10). Determine k, given that 275*k**3 + 3*k**2 + 9*k**4 + 0*k**2 - j*k**3 = 0.
-1, -1/3, 0
Let a = -12 + 26. Find n, given that -6*n**3 + 20*n**2 - a*n**3 + 11*n**4 - 6*n**4 = 0.
0, 2
Suppose 5*f - 5*u = 130, 4*f - 3*f - 2*u - 28 = 0. Let c be (f/42)/(18/7). Suppose 0 + 0*a**4 + 0*a - 2/3*a**3 + 4/9*a**2 + c*a**5 = 0. What is a?
-2, 0, 1
Suppose -f - 4 + 6 = 0. Factor 1 - 9*s**2 + 5*s**f + 3*s**2 + 4*s**3 - 4*s.
(s - 1)*(s + 1)*(4*s - 1)
Let k(q) = 1. Let p(t) = -9*t**2 + 32*t + 9. Let v(i) = -5*i**2 + 16*i + 4. Let z(x) = 3*p(x) - 5*v(x). Let d(h) = 14*k(h) - 2*z(h). Factor d(g).
4*g*(g - 8)
Let z(v) be the third derivative of v**5/180 - 2*v**4/9 + 32*v**3/9 - 10*v**2. Determine g so that z(g) = 0.
8
Let s = -10 - 99. Let j = 559/5 + s. Suppose 2*o**4 - 18/5*o**3 + j*o**2 - 4/5*o + 0 - 2/5*o**5 = 0. What is o?
0, 1, 2
Let c(w) be the third derivative of -w**8/1176 - w**7/105 - 3*w**6/140 + w**5/30 + 5*w**4/42 + 3*w**2 - 2. Let c(m) = 0. What is m?
-5, -2, -1, 0, 1
Factor 12*b + 43 + 48 - 21*b**2 - 82.
-3*(b - 1)*(7*b + 3)
Let o be (-6 + 8)*3/2. Suppose 4*l = -o*k - 0*l + 5, -3*k - l + 8 = 0. Let 3*j**k + 0*j**3 - j**2 + 0*j**3 - 4*j**3 = 0. Calculate j.
-1, 0
Suppose 3/5*d**3 + 0*d**4 + 0 - 1/5*d**5 + 0*d - 2/5*d**2 = 0. What is d?
-2, 0, 1
Let g(m) = m. Let k(u) = -u**3 - 79*u**2 - 1597*u - 1521. Let y(q) = 2*g(q) - k(q). Determine j so that y(j) = 0.
-39, -1
Let j(y) be the second derivative of 2*y**5/5 - y**2 - 11*y. Let p(q) = -7*q**3 + q**2 - q + 2. Let h(t) = 5*j(t) + 6*p(t). Let h(o) = 0. What is o?
1
Let r = -48 + 48. Factor r*h + 3/2*h**3 + 0 + 0*h**4 - 1/2*h**5 + h**2.
-h**2*(h - 2)*(h + 1)**2/2
Let m(a) be the first derivative of -a**4/48 + a**3/8 - a**2/4 - 31*a - 15. Let d(f) be the first derivative of m(f). Factor d(z).
-(z - 2)*(z - 1)/4
Let v(t) be the second derivative of -t**8/756 - 2*t**7/315 - t**6/135 + 3*t**2/2 - 6*t. Let s(f) be the first derivative of v(f). Factor s(h).
-4*h**3*(h + 1)*(h + 2)/9
Let j(b) be the first derivative of -4/3*b**3 + 5*b**4 + 7 - 10*b**2 + 4*b. Suppose j(s) = 0. Calculate s.
-1, 1/5, 1
Find t such that -16/3*t + 0 + 2/9*t**2 = 0.
0, 24
Let z be ((-6 + (-18)/(-3))/1)/(-1). Let i(c) be the first derivative of z*c + 4/3*c**3 - 3 - 2*c**2. Solve i(s) = 0 for s.
0, 1
Find u such that 54*u**3 - 13/2*u**4 - 243/2*u**2 + 1/4*u**5 - 729/4*u + 0 = 0.
-1, 0, 9
Let a(j) be the second derivative of -j**5/100 + j**4/30 + 13*j**3/30 + j**2 - 85*j. Factor a(c).
-(c - 5)*(c + 1)*(c + 2)/5
Let g be (-52 - -2) + (-1)/((-3)/12). Let q = g - -46. Find o such that -4/5*o**4 + 0*o + 4/5*o**3 - 4/5*o**5 + q + 4/5*o**2 = 0.
-1, 0, 1
Let a(t) be the second derivative of 2*t**7/63 - 4*t**6/9 + 5*t**5/3 + 20*t**4/9 - 160*t**3/9 - 128*t**2/3 - 200*t. Determine v so that a(v) = 0.
-1, 4
Let g(m) be the second derivative of 0*m**2 + 47*m - 3/13*m**3 - 1/195*m**6 + 0 - 7/130*m**5 - 5/26*m**4. Factor g(u).
-2*u*(u + 1)*(u + 3)**2/13
Let k(s) be the first derivative of -2205*s**4/4 + 70*s**3 - 5*s**2/2 - 130. Determine q so that k(q) = 0.
0, 1/21
Let q(n) be the second derivative of n**5/20 + 5*n**4/6 - n**3/6 - 4*n**2 + 12*n. Let t be q(-10). Factor 8*o**2 - t*o**3 + 0*o**2 - 3*o - 4*o - o.
-2*o*(o - 2)**2
Let u(w) be the third derivative of 0 + 0*w - 7/60*w**5 + 0*w**3 + 1/12*w**4 + 1/24*w**6 + 6*w**2. Factor u(s).
s*(s - 1)*(5*s - 2)
Let v(z) be the third derivative of 0*z**4 + 0 + 0*z + 1/150*z**5 - 32*z**2 + 0*z**3 - 1/75*z**6. Determine c so that v(c) = 0.
0, 1/4
Let m(t) be the second derivative of -5*t**4/12 - 5*t**3 + 40*t**2 + 80*t + 1. Factor m(d).
-5*(d - 2)*(d + 8)
Factor 247*r**2 + 238*r**2 - 6 - 479*r**2 + 5*r - 5*r**3.
-(r - 1)*(r + 1)*(5*r - 6)
Suppose -2*j + 353 = -619. Factor -20*a**4 - 28*a**3 - 490*a**5 + j*a**5 - 10*a**2 - 2*a**2.
-4*a**2*(a + 1)**2*(a + 3)
Let d(u) = u**3 - u**2 + u. Let a(v) = -12*v**3 + 14*v**2 - 12*v. Let r be -3 + 6 - 5/1. Let n(b) = r*a(b) - 20*d(b). Let n(z) = 0. Calculate z.
0, 1
Let l(a) be the second derivative of a**6/120 - a**5/40 - a**4/4 + 4*a**3/3 + a. Let u(i) be the second derivative of l(i). Solve u(b) = 0.
-1, 2
Let u(a) be the first derivative of a**5/90 - a**4/12 + 2*a**3/9 + 13*a**2/2 + 10. Let y(j) be the second derivative of u(j). Solve y(r) = 0.
1, 2
Factor -118/3 + 470/3*u + 8/3*u**2.
2*(u + 59)*(4*u - 1)/3
Let z(d) be the third derivative of d**5/12 - 2*d**4/3 - 7*d**3/2 + 12*d**2. Let j(y) = y**2 - 4*y - 5. Let t(p) = -18*j(p) + 4*z(p). Let t(f) = 0. What is f?
-3, -1
Let l = 52 - 56. Let n(w) = -6*w - 22. Let o be n(l). Find a such that 4/7*a + 4/7*a**3 + 8/7*a**o + 0 = 0.
-1, 0
Factor 3/5*k**5 + 0*k + 0*k**3 + 12/5*k**2 + 0 - 9/5*k**4.
3*k**2*(k - 2)**2*(k + 1)/5
Suppose 35 = -2*a + 41. Suppose 0 = -a*x + 14*x - 33. Find k, given that -2/7*k**x - 2/7 - 6/7*k - 6/7*k**