 + 0*h**4 - 2/3*h**3 + 1/3*h.
h*(h - 1)**2*(h + 1)**2/3
Let t(m) be the first derivative of -5*m**6/6 + 148*m**5 + 745*m**4/4 - 3774. Find g, given that t(g) = 0.
-1, 0, 149
Let k(d) = -4*d**2 + 536*d + 542. Let o be k(135). Solve -3/2*l**o + 75/2 + 36*l = 0.
-1, 25
Let d(i) be the third derivative of 3/40*i**5 + 1/15*i**6 + 0 - 3*i**2 - 1/3*i**3 + 0*i + 0*i**4. Let m(y) be the first derivative of d(y). Factor m(c).
3*c*(8*c + 3)
Let c = 402 - 400. Suppose 3*w = 4*b + 38, 4*b = 5*w - 30 - 20. Factor 4*o**c + 14 - 6*o**3 - o**4 - 5 + w*o - 12*o**2.
-(o - 1)*(o + 1)*(o + 3)**2
Factor 2/3*v**2 + 0 + 6*v - 2/3*v**4 - 6*v**3.
-2*v*(v - 1)*(v + 1)*(v + 9)/3
Let f(z) be the first derivative of -z**8/1176 - z**7/735 + z**6/210 - 33*z**2/2 - 55. Let a(n) be the second derivative of f(n). Factor a(h).
-2*h**3*(h - 1)*(h + 2)/7
Suppose 4*o - 210 = -o. Suppose 3*y - 79 = -73. Determine m so that -8*m**y + 62*m**4 + 18*m**2 + 114*m**4 - 60*m**5 - 100*m**3 + 16*m - o*m**2 = 0.
-2/5, 0, 1/3, 1, 2
Solve -5*w - w + 6*w**2 + 95*w**3 - 46*w**3 - 51*w**3 + 2 = 0 for w.
1
Let n(t) be the third derivative of 1/105*t**7 + 1/20*t**6 - 2*t**3 + 7*t**2 - 8*t - 1/10*t**5 - 11/12*t**4 + 0. What is a in n(a) = 0?
-3, -1, 2
Let a(s) be the second derivative of s**4/150 - 3412*s**3/75 + 2910436*s**2/25 + 10*s + 71. Factor a(d).
2*(d - 1706)**2/25
Suppose -442 - 191 = 3*h + 4*n, 3*n + 851 = -4*h. Let k = -213 - h. Factor -2/3 + b - 1/3*b**k.
-(b - 2)*(b - 1)/3
Let t be 15/(-8) - (((-176)/(-18))/(-4) + (-596)/(-1341)). Let -3*u**3 + u**4 + 17/4*u**2 - t*u**5 + 3/4 - 23/8*u = 0. Calculate u.
1, 2, 3
Let q(l) = 4*l + 4. Let t be q(-1). Suppose t = 29*b + 12*b. Determine z so that 1/9*z**3 + b - 4/9*z**2 + 4/9*z = 0.
0, 2
Let m be (-7)/(-28)*-44 - -13. Let d(z) be the second derivative of -1/48*z**4 + 0 - m*z + 0*z**2 + 1/12*z**3. Let d(v) = 0. What is v?
0, 2
Suppose 65*h - 122*h = -29*h + 148*h. Find m, given that -1/10*m**2 + h + 1/5*m - 3/10*m**3 = 0.
-1, 0, 2/3
Let s(m) = -6*m**2 - 115*m + 120. Let l be -5 - -18*(3 - (-32)/(-12)). Let f(a) = 2*a**2 - a. Let b(h) = l*s(h) + f(h). Let b(q) = 0. What is q?
-30, 1
Let d(q) be the second derivative of 1/462*q**7 + 0*q**4 - 82*q + 0*q**5 + 0*q**3 + 0 - 1/165*q**6 + 0*q**2. Factor d(p).
p**4*(p - 2)/11
Let k = -734 - -758. Let r be (-4 + k)/5*(-1)/(-1). Find g, given that -12/5*g**3 + 0 + 6/5*g**2 - 1/5*g - 3/5*g**5 + 2*g**r = 0.
0, 1/3, 1
Let u(p) be the second derivative of p**5/4 - 20*p**4/3 + 325*p**3/6 - 125*p**2 + 1018*p. Factor u(w).
5*(w - 10)*(w - 5)*(w - 1)
Let x(t) be the third derivative of -t**5/420 + 5*t**4/56 + 50*t**3/21 + 1369*t**2. Factor x(s).
-(s - 20)*(s + 5)/7
Let g(x) be the first derivative of x**2/2 + x + 17. Suppose 3 = -8*i - 5. Let u(y) = -2*y**2 + 6. Let s(a) = i*u(a) + 6*g(a). Factor s(m).
2*m*(m + 3)
Let g(p) be the first derivative of -7*p**5/270 - 29*p**4/54 - 16*p**3/27 + 101*p**2/2 + 125. Let r(z) be the second derivative of g(z). Factor r(c).
-2*(c + 8)*(7*c + 2)/9
Factor 1/5*i**3 + 250432*i + 2239/5*i**2 - 250880.
(i - 1)*(i + 1120)**2/5
Let q(n) be the second derivative of 14/15*n**4 + n - 2/15*n**3 - 28/5*n**2 - 5 + 1/25*n**5. Factor q(u).
4*(u - 1)*(u + 1)*(u + 14)/5
Let n be ((-27)/3 - (-1)/(-1)) + -2. Let y be 1/3 + (-80)/n. Factor -8*w + 18*w**4 - 3*w**3 - 32*w**2 - 4*w**4 - y*w**3.
2*w*(w - 2)*(w + 1)*(7*w + 2)
Factor -62*q**2 + 707 + 20*q - 707 - 82*q**3.
-2*q*(q + 1)*(41*q - 10)
Find w, given that 10/23*w**3 + 96/23 - 136/23*w + 32/23*w**2 - 2/23*w**4 = 0.
-4, 1, 2, 6
Let i be 28/((126/42)/(6/4)). Let o be i/(-105)*-3 + 3/(-20). Find s such that -5/4*s**3 - 9/8*s**2 + 3/8*s + o = 0.
-1, -2/5, 1/2
Let w(t) be the first derivative of -13*t**6/2 + 987*t**5/5 - 27*t**2/2 - 29. Let d(p) = 3*p**5 - 76*p**4 + 2*p. Let l(k) = 27*d(k) + 2*w(k). Factor l(g).
3*g**4*(g - 26)
Let n(w) = -35*w**2 - 379*w - 544. Let t(q) = 490*q**2 + 5305*q + 7615. Let o(b) = -55*n(b) - 4*t(b). What is x in o(x) = 0?
-9, -12/7
Let y(d) be the first derivative of -2/11*d**2 + 0*d + 64 + 2/3*d**3 - 5/22*d**4. Let y(m) = 0. Calculate m.
0, 1/5, 2
Let d = -489733 + 5387065/11. Solve -8/11*n + d*n**3 + 0*n**2 + 0 = 0 for n.
-2, 0, 2
Find t such that -784*t - 16*t**2 + 11*t**2 + 89*t - 957 + 267 = 0.
-138, -1
Let k(y) = -60*y**5 - 122*y**4 + 5*y**3 + 108*y**2 + 58*y + 5. Let h(p) = p**4 - p**3 + p**2 + 1. Let n(z) = -3*h(z) - k(z). Let n(f) = 0. Calculate f.
-4/3, -1, -2/5, -1/4, 1
Let i(r) be the first derivative of 0*r**2 + 19 + 0*r**3 + 0*r - r**5 - 15/4*r**4. Solve i(k) = 0.
-3, 0
What is o in 0*o + 0 - 114*o**2 - 795/7*o**3 + 3/7*o**4 = 0?
-1, 0, 266
Let x be (-27 - -3)*62/(-3). Suppose 41*j**4 + 340*j**2 - 160 - x*j**3 - 13*j**4 - 1576*j**2 - 872*j = 0. What is j?
-1, -2/7, 20
Let j(d) be the second derivative of d**4/42 + 86*d**3/21 + 1849*d**2/7 - 29*d - 6. Factor j(r).
2*(r + 43)**2/7
Suppose -630*x - 5*x**5 + 117*x**4 - 40*x**2 - 113*x**2 - 176*x**2 - 100*x**2 + 26*x**5 + 81*x**3 - 216 = 0. Calculate x.
-3, -1, -4/7, 2
Let q(j) be the first derivative of 45 - 1/3*j**3 - 9/2*j**2 + 21/4*j**4 - 2*j - 9/5*j**5. Determine o, given that q(o) = 0.
-1/3, 1, 2
Let l = 24875/2 - 124311/10. Determine n so that l*n**3 + 0 - 36/5*n**2 - 1/5*n**5 + 0*n - n**4 = 0.
-9, 0, 2
Let f be -1 + 21*(-56)/(-882). Factor -11/3*n**2 - 19/3*n - 3 - f*n**3.
-(n + 1)**2*(n + 9)/3
Suppose 117*x + 143*x**4 - 120*x**3 + 3*x**5 + 69*x**2 - 183*x**2 - 46*x**4 + 17*x**4 = 0. What is x?
-39, -1, 0, 1
Let b(t) = 2*t**2 + 11*t + 23. Let l be b(-4). Let 12*y**3 - l - 8*y**3 - 11 + 32*y + 6 - 20*y**2 = 0. What is y?
1, 2
Let y(t) be the second derivative of -13*t**4/114 + 230*t**3/57 + 72*t**2/19 - t - 226. Solve y(m) = 0 for m.
-4/13, 18
Suppose -11*n + 12*n = -h + 1, -4*h + 6 = 2*n. Factor 27*t**h + 28*t**2 - 31*t**2 + 4*t**3 - t + 37*t.
4*t*(t + 3)**2
Let a(n) be the first derivative of -7 + 1/30*n**6 - n**2 + 25*n + 1/2*n**3 + 1/12*n**4 - 3/20*n**5. Let j(b) be the first derivative of a(b). Factor j(k).
(k - 2)*(k - 1)**2*(k + 1)
Suppose 5*z = -0*u - 4*u + 23, u = 4*z - 10. Let s be (0 - (-5 - -4))*u. What is g in 38*g - 3 - 52*g**s + 12*g**4 + 16*g**3 - 14*g + 3 = 0?
-3, 0, 2/3, 1
Let -1/5*r**5 + 174/5*r**2 + 10*r**3 + 1/5*r**4 + 81/5 + 207/5*r = 0. Calculate r.
-3, -1, 9
Let w = 9232/50171 + -10/4561. Determine s, given that -6/11*s + w*s**4 + 0 - 10/11*s**3 + 14/11*s**2 = 0.
0, 1, 3
Let h = 200/1789 + -4457399/8945. Let z = h - -499. Factor 14/15*r**3 - 2/15*r - z*r**2 + 0.
2*r*(r - 1)*(7*r + 1)/15
Suppose 4*b - 3*z = -7*z + 76, -32 = -2*b + z. Let u = b + -15. Suppose -4/11 - 6/11*w + 4/11*w**u = 0. Calculate w.
-1/2, 2
Suppose -5*g - 5*p - 12 = -g, 0 = -5*g + 2*p + 18. Factor -10*a**3 - 6*a**3 + 95*a + 11*a**3 - 34 - 16 - 40*a**g.
-5*(a - 1)**2*(a + 10)
Let v(l) = 6*l**2 - 6*l - 4. Let n be 3/(-5) + 10/(-25). Let a be v(n). Factor -24*w**4 - 16*w**5 - 21*w**3 + a*w**3 - w**2 + 4*w**3.
-w**2*(w + 1)*(4*w + 1)**2
Let v(t) = -12*t**2 - 6*t - 6. Let m be v(-1). Let g be (-1)/(2/(m/39)). Find c such that g*c**2 + 0 - 2/13*c**3 + 2/13*c - 2/13*c**4 = 0.
-1, 0, 1
Suppose -4*b + 2*y - 12 = -5*b, b = -4*y + 22. Factor -5*l**3 + 212*l - 50 - 117*l - 35*l**b - 5*l**2.
-5*(l - 1)**2*(l + 10)
Let g be (-54)/(-2241) + (-10045)/(-6806). Factor -1/2*n**2 - g - 1/2*n**3 + 5/2*n.
-(n - 1)**2*(n + 3)/2
Find g such that 29929/5 + 1/5*g**2 + 346/5*g = 0.
-173
Suppose 6*g - 4 = 8. Factor 69*k - 5*k**2 + 11*k + 400 + 6*k**g + 3*k**2.
4*(k + 10)**2
Suppose 1136*c + 6/7*c**5 + 50*c**4 + 11538/7*c**2 + 224 + 5498/7*c**3 = 0. Calculate c.
-28, -1, -1/3
Let s(t) be the second derivative of t**4/12 + 239*t**3/3 + 477*t**2/2 - 4101*t. Let s(l) = 0. What is l?
-477, -1
Let a be (-2)/(4 - (-78)/(-9) - -4). Let n be 4*-2*(-7)/42*a. Let p**3 + n*p - 107*p**2 + 0*p + 112*p**2 = 0. What is p?
-4, -1, 0
Let a = -84256 - -84258. Factor -1/3*v + a - 1/3*v**2.
-(v - 2)*(v + 3)/3
Let l be 3/(4 + -3)*(-10)/3. Let u(v) = v**2 + 13*v + 33. Let s be u(l). Solve -40 - s*j**2 + 85 - 45 = 0 for j.
0
Let n(l) be the third derivative of l**5/14 + 47*l**4/84 + 2*l**3/7 + l**2 + 733. Suppose n(p) = 0. What is p?
-3, -2/15
Let r(g) = -2*g**2 + 236*g - 1323. Let z be r(112). Let q(n) be the first derivative of -z*n**2 - 49/3*n**3 - 9*n - 12. Factor q(i).
-(7*i + 3)**2
Let l = 142 - 108. Le