-y*f + 8 + 26 = 0. Solve -30/11*d**5 - 8/11*d + 0*d**f + 6*d**3 - 28/11*d**4 + 0 = 0.
-2, -1/3, 0, 2/5, 1
Let x(a) be the third derivative of a**7/630 + a**6/90 - 11*a**5/180 + a**4/12 - 86*a**2. Determine m, given that x(m) = 0.
-6, 0, 1
Let x(v) = v**2 + v - 1. Let s(k) = -4*k**2 + 31*k - 46. Let l(d) = -d**2 - 4*d - 2. Let t be l(-3). Let r(i) = t*s(i) - x(i). Factor r(j).
-5*(j - 3)**2
Let x(d) = 103*d**3 - 126*d**2 + 25*d - 2. Let w(o) = -51*o**3 + 63*o**2 - 13*o + 1. Let y(q) = -10*w(q) - 4*x(q). Factor y(v).
2*(v - 1)*(7*v - 1)**2
Solve -152*o**3 - 255*o**2 + 541*o**2 - 144 + 672*o + 36*o**4 - 362*o**2 = 0 for o.
-2, 2/9, 3
Let k(w) be the second derivative of -1/60*w**5 + 0 + 0*w**4 + 34*w + 0*w**2 - 1/90*w**6 + 0*w**3. Factor k(m).
-m**3*(m + 1)/3
Let r be (-2)/3*(-15)/(-10). Let i be r + 18*3/2. Suppose 6*a**3 + i*a + 3*a**4 + 3 - 32*a - 6*a**4 = 0. What is a?
-1, 1
Let g(k) be the second derivative of k**7/63 - k**6/15 + 2*k**4/9 - k - 41. Factor g(w).
2*w**2*(w - 2)**2*(w + 1)/3
Find k, given that 94*k**4 + 2*k**5 - 86*k**4 + 4*k**2 - 2*k**5 - 10*k**3 - 2*k**5 = 0.
0, 1, 2
Let m = -3281 - -3281. Solve -2/7*w**2 + m*w + 0 = 0 for w.
0
Let c(t) be the second derivative of -t**4/3 + 16*t**3 - 288*t**2 - 9*t - 1. Factor c(g).
-4*(g - 12)**2
Suppose 2 = -4*v + 14, -4*v = 3*q - 15. Let i(p) be the first derivative of 3*p**2 - p**3 - 4*p + q + 1/8*p**4. Let i(l) = 0. What is l?
2
Let z(v) be the first derivative of v**8/672 + v**7/140 - v**5/30 + 22*v**2 + 16. Let b(s) be the second derivative of z(s). Factor b(p).
p**2*(p - 1)*(p + 2)**2/2
Let y(c) be the second derivative of c**4/18 + 106*c**3/9 - 107*c**2/3 - 236*c. Factor y(z).
2*(z - 1)*(z + 107)/3
Let k(r) be the third derivative of r**8/1344 + r**7/560 - r**6/240 - r**5/160 + r**4/96 - 162*r**2. Solve k(p) = 0 for p.
-2, -1, 0, 1/2, 1
Factor 4/7*m + 2/7 + 2/7*m**2.
2*(m + 1)**2/7
Let y = -91 - -156. Let z = -65 + y. Let 2/3 - 2/3*m**4 + z*m**2 - 4/3*m + 4/3*m**3 = 0. Calculate m.
-1, 1
Let r be 8/10*(-5)/(-2). Factor -4*d**2 - d**2 - d**2 + 4*d**3 + 2*d**r.
4*d**2*(d - 1)
Let h(q) be the third derivative of -q**5/210 + 2*q**4/21 + 3*q**3/7 + 21*q**2 - 6. Factor h(j).
-2*(j - 9)*(j + 1)/7
Let c = 283 - 280. Let f(s) be the third derivative of -1/45*s**5 + 1/180*s**6 - 6*s**2 + 0*s**4 + 0 + 0*s**c + 0*s. Suppose f(x) = 0. Calculate x.
0, 2
Determine g, given that 15/4*g - 75/2 + 3/4*g**2 = 0.
-10, 5
Let t(c) be the third derivative of c**7/1260 - c**5/15 + c**4/4 + 10*c**2. Let v(o) be the second derivative of t(o). What is p in v(p) = 0?
-2, 2
Factor 1/3 - 1/3*j - 5/3*j**2 - j**3.
-(j + 1)**2*(3*j - 1)/3
Solve -4*z**2 + 5*z - 105 + 54 + 49 + z**3 = 0 for z.
1, 2
Let r be 9/(45/242) + -3*1. Let s = r + -45. What is k in 2/5*k**2 + 0 - s*k = 0?
0, 1
Let f(w) be the first derivative of 2*w**3/15 - 3*w**2 + 134. Determine a so that f(a) = 0.
0, 15
Let z be (-84)/16*102/(-28) + (-2)/16. Let -5*i**5 + 52/5*i**2 - 114/5*i**3 + 0 + z*i**4 - 8/5*i = 0. What is i?
0, 2/5, 1, 2
Determine c so that -1160*c**2 - 5647*c**2 - 3416*c**3 - 3436*c - 300 + 856*c - 1717*c**3 + 2625*c**4 - 294*c**5 + 825*c**3 = 0.
-1/2, -2/7, 5
Suppose 5*g = -5*c + 10, 0 = -4*g - 0*c + 3*c + 8. Factor 0 + 4/5*u - 2/5*u**g.
-2*u*(u - 2)/5
Let r be (-10)/(-4)*((-57)/(-15) + -3). Factor -9*g**2 + 18 + 3*g - 5*g**2 + 10*g**r - g**3.
-(g - 2)*(g + 3)**2
Let m(j) = j. Let z(y) = -3*y + 4. Let f(p) = -4*m(p) - z(p). Let q be f(-6). Solve 3*o**q + 121*o - 3*o**3 + 3*o**2 - 124*o = 0 for o.
0, 1
Let l(n) be the second derivative of -n**6/30 + 3*n**5/10 - 11*n**4/12 + n**3 + 14*n - 1. Factor l(r).
-r*(r - 3)*(r - 2)*(r - 1)
Let k(p) = 2*p**2 + 10*p + 4. Let z = 32 - 31. Let i(q) = q**2 + q - 1. Let b(u) = z*k(u) - 4*i(u). Suppose b(f) = 0. What is f?
-1, 4
Let m(p) be the third derivative of 0*p + 0 + 15*p**2 - 1/560*p**7 + 1/160*p**6 + 0*p**3 + 1/160*p**5 - 1/32*p**4. Solve m(r) = 0 for r.
-1, 0, 1, 2
Let p(o) = o**3 - 35*o**2 + 91*o + 162. Let d be p(32). Let j = -926/9 + 104. Factor -4/9 + 2/9*k**4 - 2/9*k**3 - 2/3*k**d + j*k.
2*(k - 1)**3*(k + 2)/9
Suppose 93/8*i - 99/4 + 51/4*i**2 + 3/8*i**3 = 0. Calculate i.
-33, -2, 1
Let q(x) be the second derivative of -16*x + 1/6*x**4 + 0 + 0*x**3 + 0*x**2. Let q(f) = 0. What is f?
0
Let i(k) be the third derivative of k**7/420 + k**6/24 - k**5/5 + 129*k**2. Determine o so that i(o) = 0.
-12, 0, 2
Find o such that 1006/9*o**2 + 494/9*o**3 - 208/9*o + 2/9*o**5 - 1352/9 + 58/9*o**4 = 0.
-13, -2, 1
Find c, given that -12*c + 45/2*c**4 - 2 - 41/2*c**2 + 25/2*c**5 - 1/2*c**3 = 0.
-1, -2/5, 1
Suppose 43*d - 22*d - 22 = 10*d. Factor -8/9*p**d - 2/9*p + 8/9 + 2/9*p**3.
2*(p - 4)*(p - 1)*(p + 1)/9
Suppose -4*n + 8 = -64. Let h(s) = s**2 + 4*s - 7. Let i be h(-6). Suppose 10*w**3 - 8*w**3 + 54*w + n*w**2 + 49 + i = 0. What is w?
-3
Let q(p) be the second derivative of p**7/231 + p**6/55 - 2*p**5/55 + 122*p. Factor q(k).
2*k**3*(k - 1)*(k + 4)/11
Suppose -2*l + 16 = -4*u, -8*u + 4*u = 2*l. Let i be (3 + (2 - l))*(8 - 4). Solve 10/9*s**i - 2/9*s + 8/9*s**5 + 0 - 10/9*s**2 - 2/3*s**3 = 0.
-1, -1/4, 0, 1
Let k(a) be the first derivative of -1/27*a**6 + 0*a + 26 - 2/45*a**5 + 0*a**2 + 0*a**3 + 0*a**4. Factor k(z).
-2*z**4*(z + 1)/9
Let 3*q + 24*q + q**2 + 4*q + 3*q + 23 - 10*q = 0. Calculate q.
-23, -1
Let y(o) be the first derivative of o**6/45 + 11*o**5/90 + 4*o**4/27 - 4*o**3/27 - 10*o - 19. Let c(u) be the first derivative of y(u). Solve c(q) = 0.
-2, 0, 1/3
Let k(r) be the second derivative of r**4/30 + 22*r**3/5 + 1089*r**2/5 + 2*r + 86. Factor k(m).
2*(m + 33)**2/5
Let c(d) be the first derivative of -9/35*d**5 - 20 - 5/7*d**3 + 0*d - 1/14*d**6 + 27/28*d**4 + 0*d**2. Factor c(u).
-3*u**2*(u - 1)**2*(u + 5)/7
Suppose 43*a - 16 = 70. Let y(h) be the first derivative of -1/3*h**4 - 16/3*h - 16/3*h**a - 20/9*h**3 + 3. Factor y(k).
-4*(k + 1)*(k + 2)**2/3
Let s(p) be the second derivative of 41*p + 1/45*p**6 + 2/3*p**2 + 7/9*p**3 + 1/6*p**5 + 1/2*p**4 + 0. Factor s(b).
2*(b + 1)**3*(b + 2)/3
Let s(w) be the third derivative of -w**6/1080 - w**5/360 + w**4/36 - w**3/2 - 12*w**2. Let p(j) be the first derivative of s(j). Factor p(t).
-(t - 1)*(t + 2)/3
Let a(v) be the third derivative of -v**6/40 + 7*v**5/20 - 3*v**4/4 - 65*v**2. Factor a(z).
-3*z*(z - 6)*(z - 1)
Determine i so that 3*i**4 - 20*i + 43*i + 31*i - 102*i**2 + 18*i + 27*i**3 = 0.
-12, 0, 1, 2
Factor -2/3*l**2 - 80*l - 2400.
-2*(l + 60)**2/3
Let h(r) = r**3 + 2*r**2 + 3*r - 4. Let v be h(2). Factor -24*u**4 + v*u**3 - 18*u**2 + 9*u**5 - 3*u + 34*u**2 - 16*u**2.
3*u*(u - 1)**3*(3*u + 1)
Let h be 1/((-1)/3) + 3 + 3. Factor -34*l**h - 10*l**2 - 2*l**2 + 3*l + 18 + 37*l**3.
3*(l - 3)*(l - 2)*(l + 1)
Let x(l) = -l**3 + 7*l**2 + 253*l - 1957. Let v be x(8). Factor 0*h + 0 - 12/7*h**v - 3/7*h**5 - 15/7*h**4 + 0*h**2.
-3*h**3*(h + 1)*(h + 4)/7
Let z be (19 - 0)*(-7 - -8). Factor -7*b + z*b + 8 - 6*b + b**2.
(b + 2)*(b + 4)
Let i(t) be the second derivative of -t**6/420 + 3*t**5/70 - 6*t**2 - 35*t. Let b(g) be the first derivative of i(g). Solve b(r) = 0.
0, 9
Let v(t) = -36*t + 756. Let z be v(21). Factor z - 12/5*y - 4/5*y**3 - 4/5*y**4 + 4*y**2.
-4*y*(y - 1)**2*(y + 3)/5
Let y(b) be the second derivative of b**7/2520 - b**6/360 - b**5/40 + 4*b**4/3 - 33*b. Let o(m) be the third derivative of y(m). Solve o(w) = 0 for w.
-1, 3
Let r = 14 + -10. Factor 2*v**4 + v**r - 19*v + 9*v**2 - 9*v**3 + 16*v.
3*v*(v - 1)**3
Factor 17/3*o**3 + 5/3*o**4 + 0 + 16/3*o**2 + 4/3*o.
o*(o + 1)*(o + 2)*(5*o + 2)/3
Let w(v) = 4*v**3 + 9*v**2 - 23*v - 5. Let s(t) = -5*t**3 - 9*t**2 + 24*t + 6. Let m(j) = -5*s(j) - 6*w(j). Solve m(c) = 0.
0, 3, 6
Suppose -4*y = 120 - 168. Let n be (-1)/y + 2/6. Factor 1/4*r**4 + 0 + n*r**3 - 1/4*r - 1/4*r**2.
r*(r - 1)*(r + 1)**2/4
Let o(g) be the third derivative of g**5/30 - 3*g**4/2 + 27*g**3 + 29*g**2. What is z in o(z) = 0?
9
Let z = -27457 - -411857/15. Find y such that 2/5 + z*y - 2/5*y**2 - 2/15*y**3 = 0.
-3, -1, 1
Suppose 5*v = -3*k + 20, -3*k = -v - 5*k + 4. Let i(h) be the third derivative of -1/20*h**v - 2/15*h**3 + 0 + 1/30*h**5 + 5*h**2 + 0*h. Factor i(j).
2*(j - 1)*(5*j + 2)/5
Let s(x) be the third derivative of x**5/75 + x**4/4 + 6*x**3/5 + x**2 - 10*x. Solve s(o) = 0.
-6, -3/2
Let l(d) = -d**2 + 2*d + 2. Let s be l(