 -867*m**4 + 600 + 243*m**5 - 4139*m - 429*m**4 + 5634*m**2 + 243*m**3 + 479*m = 0. What is m?
-2, 1/3, 10/3
Let b(p) be the third derivative of -2/15*p**5 + 0*p + 1/20*p**6 + 1/168*p**8 + 17*p**2 + 0 + 4/105*p**7 - 1/3*p**4 + 0*p**3. Factor b(d).
2*d*(d - 1)*(d + 1)*(d + 2)**2
Let s = -2 + 7. Solve 42*x**5 + 30*x**4 - 47*x**5 - s*x**3 + 40*x**2 - 55*x**3 = 0 for x.
0, 2
Let s(h) = 4*h**2 + 15*h - 79. Let i be s(3). Factor 0 + 1/4*b**i - 1/4*b.
b*(b - 1)/4
Let s(q) = -2*q**3 - 4*q**2 - 2*q + 2. Let d be s(-2). Suppose 2*p - 14 = -5*b, 0 = -d*b + 3*b + 5*p - 4. Solve -5*t**b + 3 - 10 + 7 = 0.
0
Suppose 4*y + 6 = q, -3*q = -7*q + y + 9. Let t be 2/4*q/(-1) + 1. Let -u**5 + t*u + 1/4 - 5/2*u**2 - 15/4*u**4 - 5*u**3 = 0. What is u?
-1, 1/4
Let s(i) be the first derivative of 4*i**3/3 - 14*i**2 - 200. Suppose s(v) = 0. Calculate v.
0, 7
Let k(r) be the first derivative of r**7/5880 + r**6/840 + r**5/420 - 11*r**3/3 - 2. Let z(i) be the third derivative of k(i). Determine a so that z(a) = 0.
-2, -1, 0
Let q(j) = -15*j**2 + 18*j. Let p(v) = -v + 1. Let w(s) = 6*s**2 - 13*s + 6. Let f(n) = -6*p(n) + w(n). Let x(l) = 12*f(l) + 5*q(l). Factor x(c).
-3*c*(c - 2)
Solve 8/5*a - 2*a**2 + 0 - 6/5*a**3 + 2*a**4 - 2/5*a**5 = 0.
-1, 0, 1, 4
Suppose 7 = -264*i + 271*i. Let o(z) be the first derivative of i - 8/3*z**2 + 32/3*z + 2/9*z**3. Factor o(w).
2*(w - 4)**2/3
Suppose -4204 = -f - 4202. Factor 0*x + 1/5 - 1/5*x**f.
-(x - 1)*(x + 1)/5
Let r(w) be the second derivative of -9*w + 0 - 6/7*w**2 - 3/140*w**5 - 9/14*w**3 - 3/14*w**4. Factor r(b).
-3*(b + 1)**2*(b + 4)/7
Let y(m) = 24*m**4 + 6*m**3 - 69*m**2 - 57*m - 15. Let g(h) = 49*h**4 + 12*h**3 - 140*h**2 - 113*h - 31. Let j(q) = -3*g(q) + 7*y(q). Solve j(s) = 0 for s.
-1, -2/7, 2
Let y(s) be the third derivative of -s**7/273 + s**6/65 - 2*s**5/195 - 5*s**2 + 2*s. Find k, given that y(k) = 0.
0, 2/5, 2
Let s be (-18)/(-14)*(21/(-28) + 6). Factor 9/2*f + s + 3/4*f**2.
3*(f + 3)**2/4
Let i(b) be the second derivative of 7*b**5/4 + 445*b**4/12 - 310*b**3/3 + 70*b**2 + 5*b - 9. Factor i(y).
5*(y - 1)*(y + 14)*(7*y - 2)
Let b(v) be the first derivative of v**5/230 - 24*v + 8. Let d(a) be the first derivative of b(a). Factor d(i).
2*i**3/23
Let u = 4937 - 4932. Find z, given that -6/7*z**4 + 3/7*z**u - 24/7*z**3 + 48/7*z - 96/7 + 48/7*z**2 = 0.
-2, 2
Solve 5*f**3 + 8*f**3 + 5*f**4 + 7*f**3 - 50*f**2 - 5*f**3 = 0 for f.
-5, 0, 2
Let z(a) be the second derivative of a**6/720 - a**5/120 + 13*a**3/6 + 9*a. Let l(q) be the second derivative of z(q). Find w, given that l(w) = 0.
0, 2
Let c(w) be the third derivative of 2/195*w**6 + 16/1365*w**7 + 4*w**2 + 0 - 1/26*w**5 - 2*w - 2/39*w**4 - 1/39*w**3. Find q, given that c(q) = 0.
-1, -1/4, 1
Let c(i) be the second derivative of -i**5/5 + 20*i**4/3 - 256*i**3/3 + 512*i**2 - 3*i + 46. Solve c(k) = 0.
4, 8
Let a = -12619/240 - -263/5. Let z(j) be the second derivative of -1/24*j**3 - 2*j + 0 - a*j**4 + 0*j**2. Solve z(d) = 0.
-1, 0
Let n(w) be the first derivative of -1/7*w + 0*w**3 + 1/7*w**2 - 1/14*w**4 + 9 + 1/35*w**5. Solve n(l) = 0 for l.
-1, 1
Let f(z) = z**2 + 15*z - 8. Let l(a) = -2*a**2 - 34*a + 18. Let n(w) = 9*f(w) + 4*l(w). What is k in n(k) = 0?
0, 1
Let z(d) be the first derivative of -d**3/3 + 9*d**2/2 + 2*d + 6. Let y be z(9). Find v, given that v**4 - 16*v**3 - 2*v**4 + 17*v**3 + y*v**2 = 0.
-1, 0, 2
Let z(p) be the second derivative of 5/28*p**4 + 0 + 17*p - 3/35*p**5 + 0*p**2 - 1/14*p**3. Factor z(d).
-3*d*(d - 1)*(4*d - 1)/7
Let p be ((-3)/15)/(0 + 18/(-30)). Factor 1/6*b + 1/6*b**3 - p*b**2 + 0.
b*(b - 1)**2/6
Let p(t) be the second derivative of 50/3*t**6 + 105/4*t**5 + 0 + 0*t**2 + 15*t**4 - 7*t + 10/3*t**3. Determine u so that p(u) = 0.
-2/5, -1/4, 0
Let u(t) = t**3 + 34*t**2 + 15*t - 10. Let k(i) = 2*i**3 + 34*i**2 + 16*i - 8. Let v(j) = -5*k(j) + 4*u(j). Factor v(c).
-2*c*(c + 5)*(3*c + 2)
Let b(t) be the second derivative of -t**4/6 - 2*t**3/3 + 3*t**2 - 9*t. Solve b(c) = 0 for c.
-3, 1
Let g = 173/2 + -86. Determine d, given that 0 + 1/2*d - g*d**2 = 0.
0, 1
Let x(u) = -14*u**2 - 1128*u - 328. Let h(k) = 14*k**2 + 1129*k + 330. Let z(t) = -4*h(t) - 5*x(t). Suppose z(q) = 0. What is q?
-80, -2/7
Let b(h) be the first derivative of -4*h**3/33 - 5*h**2/11 + 14*h/11 - 158. Determine k so that b(k) = 0.
-7/2, 1
Let a = 23 + -21. Factor -h**3 - 2*h**5 - h**4 + 2*h**2 - 4*h**a + 3*h**4 + 3*h**3.
-2*h**2*(h - 1)**2*(h + 1)
Let f(p) be the second derivative of p**4/3 + 2*p**3/3 - 2*p + 47. Factor f(r).
4*r*(r + 1)
Suppose -2*t = -0*t - 6. Factor -27 - 7*b**2 + 3*b**2 + t + 20*b.
-4*(b - 3)*(b - 2)
Let z(p) be the second derivative of p**6/6 - p**5 - 5*p**4/2 + 10*p**3/3 + 25*p**2/2 + 59*p. Factor z(b).
5*(b - 5)*(b - 1)*(b + 1)**2
Let i(k) be the second derivative of -k**6/15 + k**5/40 + 3*k**4/2 - 3*k**3/4 - 2*k + 2. Factor i(s).
-s*(s - 3)*(s + 3)*(4*s - 1)/2
What is f in 8/5*f + 0 + 1/5*f**2 = 0?
-8, 0
Let b(v) = 5*v**3 + 10*v**2 - 25*v + 10. Let h(m) = -27*m**3 - 49*m**2 + 124*m - 48. Let w(g) = 11*b(g) + 2*h(g). Factor w(f).
(f - 1)**2*(f + 14)
Suppose 185 + 13 = 2*f. Factor 2*p**2 + 2*p**2 - 8*p + f*p**3 - 95*p**3.
4*p*(p - 1)*(p + 2)
Let m(l) = 16*l**4 - 19*l**3 + 1 + 32*l**4 - 2*l**2 - 6. Let h(p) = 192*p**4 - 75*p**3 - 9*p**2 - 21. Let j(x) = 5*h(x) - 21*m(x). What is d in j(d) = 0?
0, 1/4
Suppose 0 = -3*w + 2*p + 2, 8 = 3*w - 6*w + 4*p. Let h(g) be the first derivative of 1/2*g + 1/4*g**5 - 2 - 3/8*g**2 + 3/16*g**w - 7/12*g**3. Factor h(m).
(m - 1)*(m + 1)**2*(5*m - 2)/4
Let k(v) be the third derivative of -5/24*v**4 + 0 + 0*v + 1/120*v**6 + v**3 - 1/30*v**5 + 18*v**2. Determine f so that k(f) = 0.
-2, 1, 3
Let b(g) be the third derivative of 2/135*g**5 + 0 - 13*g - 17/270*g**6 + 0*g**4 + g**2 + 0*g**3. Factor b(o).
-4*o**2*(17*o - 2)/9
Find g such that -19*g - 361 - 1/4*g**2 = 0.
-38
Suppose -5*p = -4*n + 5, 5*n - 3*p - 11 = 5. Suppose -38 + 3 = -5*x - y, 2*y = 3*x - 8. What is v in v**2 + n - 11 - v**3 + x = 0?
0, 1
Let k(t) be the second derivative of -3*t**5/40 - 7*t**4/4 - 16*t**3 - 72*t**2 - 380*t. Determine w, given that k(w) = 0.
-6, -4
Let g be 60 + -3 + (4 + -3)*-1. Let b be (1 - 68/g)*(-14)/12. Find h, given that 0 + b*h + 0*h**2 - 1/4*h**3 = 0.
-1, 0, 1
Let p = 16689/56 - 2080/7. Factor -9/8*f**3 + p*f**2 + 0 - 1/4*f + 5/8*f**4 - 1/8*f**5.
-f*(f - 2)*(f - 1)**3/8
Determine i, given that 28*i**2 - 4*i - 19*i**3 + 12*i**4 - i**5 - 11*i**3 + 2*i - 7*i = 0.
0, 1, 9
Let 12*u**2 + 24*u + 221 + 59*u - 37 + 33*u = 0. What is u?
-23/3, -2
Let v(y) = -y**3 + y**2. Let q(z) = 92*z - 44*z**3 - 96*z - 5*z**4 - 7*z**4 - 4*z**2. Let w(p) = -q(p) + 16*v(p). Solve w(u) = 0 for u.
-1, -1/3, 0
Let q = 37 + -33. Factor d**3 - 7*d**5 - 3*d**q + 2*d + 3*d**2 - 2*d**3 + 0*d**3 + 6*d**5.
-d*(d - 1)*(d + 1)**2*(d + 2)
Let b = -320 + 1601/5. Let m be -5 - -3 - 24/(-10). Determine q so that -1/5*q**5 + 1/5*q**4 + b - m*q**2 + 2/5*q**3 - 1/5*q = 0.
-1, 1
Suppose -9*i + 385 = -4*i. Let f be (-10)/(-15) - i/(-6). Factor 3 + 21/2*x - f*x**2.
-3*(x - 1)*(9*x + 2)/2
Suppose -4*y + 14*y + 40 = 0. Let s(f) = -f**5 + 12*f**4 + 13*f**3. Let h(n) = n**4 + n**3. Let p(g) = y*s(g) + 44*h(g). Find m such that p(m) = 0.
-1, 0, 2
Let i(s) be the first derivative of 5*s**6/3 + 22*s**5/5 - 13*s**4/2 - 86*s**3/3 - 28*s**2 - 8*s - 876. Let i(z) = 0. Calculate z.
-2, -1, -1/5, 2
Let t = 5 - -41. Factor -t*b - 53*b**2 + 9*b**2 - 6*b - 8.
-4*(b + 1)*(11*b + 2)
Let f(t) be the first derivative of 1/22*t**4 - 4/33*t**3 - 20/11*t - 13/11*t**2 - 41. Factor f(i).
2*(i - 5)*(i + 1)*(i + 2)/11
Let p = 54 + -50. Find k, given that -54*k**4 + 3*k**2 - k + 24*k**4 + 33*k**3 - k - p*k = 0.
-2/5, 0, 1/2, 1
Let q(p) be the first derivative of p**6/90 - p**4/4 + 3*p - 8. Let c(k) be the first derivative of q(k). Factor c(f).
f**2*(f - 3)*(f + 3)/3
Let m be (6 - 10)*(-6)/8. Let r(n) be the first derivative of -1 + 11*n**m - 3*n**2 - 8*n**3 - 4*n**3. Determine s so that r(s) = 0.
-2, 0
Suppose 2 + 198/5*y**2 - 216/5*y**4 + 54/5*y**3 + 82/5*y = 0. What is y?
-1/3, 5/4
Let f(o) = 33*o**3 + 422*o**2 + 240*o - 73. Let i(g) = 17*g**3 + 211*g**2 + 118*g - 37. Let j(w) = -6*f(w) + 14*i(w). Factor j(b).
2*(b + 10)*(4*b - 1)*(5*b + 4)
Solve 106*w**3 - 35 - 194*w**2 - 2*w**4 + 895*w - 133 - 150*w**3 - 120 