 296*h**2 + 80*h + 480. Let i(s) = -4*s**4 - 39*s**3 - 60*s**2 + 16*s + 96. Let z(u) = -3*d(u) + 16*i(u). Factor z(t).
-4*(t - 1)*(t + 2)**2*(t + 6)
Let l(q) = 2654*q**3 - 5064*q**2 - 498*q - 20. Let p(z) = -1769*z**3 + 3375*z**2 + 332*z + 13. Let y(w) = 5*l(w) + 8*p(w). Factor y(o).
-2*(o - 2)*(21*o + 1)**2
Let d(u) be the second derivative of u**4/4 - 55*u**3/2 - 171*u**2 - 374*u. Factor d(x).
3*(x - 57)*(x + 2)
Suppose 63 = 9*a - 12*a. Let i be (-12)/a + (-14)/(-49). Solve i*x**3 + 3/7 - 9/7*x**2 + 0*x = 0 for x.
-1/2, 1
Let j be -3*(-3)/18*(3 - 2). Suppose 4*c = -2*i + 4, 5*c = 4*i + 3*c - 8. Suppose -1/2*t**i - t - j = 0. What is t?
-1
Suppose 0 = 23*d - 15*d - 136. Let s be (-2)/d + (-2812)/(-1938). Let s + 20/3*a + 25/3*a**2 = 0. Calculate a.
-2/5
Let s be ((-24)/(-20) + -2)/((-5)/25). Suppose s*m + 19 - 7*m**2 - 11 + 3*m**2 = 0. What is m?
-1, 2
Suppose 0 = -3*c + 129*d - 126*d + 27, -8 = 3*c + 2*d. Factor 3/5*j**c + 3/5*j + 0.
3*j*(j + 1)/5
Let a(f) be the third derivative of -f**5/20 + 43*f**4/8 - 432*f**2 - 1. Factor a(h).
-3*h*(h - 43)
Factor -22*x**2 + 2/3*x**4 - 8 - 70/3*x - 6*x**3.
2*(x - 12)*(x + 1)**3/3
Let h(k) be the third derivative of -k**5/390 + 3*k**4/26 + 19*k**3/39 - 173*k**2. Determine r so that h(r) = 0.
-1, 19
Let t(q) = -q**2 + 43*q + 1022. Let u be t(60). Suppose -4/3*d**4 - 32/9*d + 16/3*d**u + 0 - 2/9*d**3 - 2/9*d**5 = 0. Calculate d.
-4, 0, 1
Find a such that 37*a**2 - 82*a**2 + 10 + 20*a**2 + 10*a**3 - 5*a + 10*a = 0.
-1/2, 1, 2
Factor -2/13*r**2 - 4802/13 + 196/13*r.
-2*(r - 49)**2/13
Let j(n) be the first derivative of -3*n**4/4 + 94*n**3 - 3168*n**2 - 13824*n - 562. Find b such that j(b) = 0.
-2, 48
Suppose -i + 3 = -0*i. Let 48*b**2 + 32 + 141 + 83 - 192*b - 4*b**i = 0. What is b?
4
Let z(c) be the first derivative of c**5/5 + 5*c**4/4 - 5*c**3 - 5*c**2/2 + 14*c + 208. Let z(a) = 0. What is a?
-7, -1, 1, 2
Let g = 159/98 - 6/49. Suppose 11*c - 8*c - 6 = 0. Find i such that g*i**c + 0*i - 3/2 = 0.
-1, 1
Let j(q) be the second derivative of q**4/27 - q**3/9 + q**2/9 - 95*q. What is w in j(w) = 0?
1/2, 1
Let n(z) be the second derivative of -z**6/80 - 3*z**5/40 + 3*z**4/32 + 5*z**3/8 - 3*z**2/2 + 15*z + 4. Solve n(m) = 0.
-4, -2, 1
Suppose 0*w - 4*w = -8. Suppose 0 = d + s + 2, 0*s = 2*d - s - 8. Let -4*q - w*q**2 + 0*q**d + 0*q + 2 + 4*q**2 = 0. What is q?
1
Let m(l) = -l**3 - 12*l**2 + 2*l + 28. Let p be m(-12). What is o in -10/3*o - 2/3*o**2 - p = 0?
-3, -2
Let r = 138/19 - 1166/171. Let z(j) be the first derivative of 7 - r*j**3 - 1/6*j**4 + 1/3*j**2 + 4/3*j. Find q such that z(q) = 0.
-2, -1, 1
Let x = 70 + -65. Factor -4*j**x - 4*j + 6*j**5 - 26*j**4 - 4*j**2 + 6*j**5 - j**5 + 27*j**3.
j*(j - 2)*(j - 1)**2*(7*j + 2)
Suppose 64*m - 69*m + 4*k = -29, 5*m = 5*k + 30. Find p, given that 20/3*p - 85/3*p**2 - 25/3*p**m + 20/3 + 5/3*p**3 + 65/3*p**4 = 0.
-1, -2/5, 1, 2
Let b(z) be the third derivative of -12*z**2 + 1/6*z**6 - 1/56*z**8 + 0*z**5 - 7/12*z**4 + 0*z + 0 - 2/105*z**7 + 2/3*z**3. Find n such that b(n) = 0.
-2, -1, 1/3, 1
Solve 8*l - 23/3 - 1/3*l**2 = 0.
1, 23
Let v(i) be the second derivative of 25*i**5/4 + 175*i**4/4 - 1035*i**3/2 - 13225*i**2/2 + 754*i. Suppose v(g) = 0. What is g?
-23/5, 5
Let y be (-10)/2150*(6/(-3) - -4). Let s = y + 518/215. Find n such that 1/5*n**3 + s*n - 6/5*n**2 - 8/5 = 0.
2
Suppose 0 = 3*o - 6*d + 9*d - 438, -4*o = 5*d - 580. Let i = o + -140. Find c such that i*c**2 - 8*c + 8/5 = 0.
2/5
Let a be -3*(-20)/12 + -3. Let -2*m**2 + 2*m**5 + 4*m - 6*m**3 + 15*m**4 - 17*m**4 + 4*m**a = 0. What is m?
-1, 0, 1, 2
Suppose 30*y**3 + 20*y**2 - 11/2*y**4 + 8 - 36*y - 21/4*y**5 = 0. What is y?
-2, 2/7, 2/3, 2
Let d = -1/3716 + 14867/11148. Solve d*a**3 + 4/3*a + 0 - 10/3*a**2 = 0.
0, 1/2, 2
Suppose 5*g - 23 = -4*l, -2*l + 12 = 2*g + l. Solve -3*u**4 - 8 - 34*u**g + 34*u + 11*u**4 + 374*u**2 - 374*u**2 = 0.
-1, 1/4, 1, 4
Let h(i) be the third derivative of i**5/330 - 17*i**4/132 + 16*i**3/33 - 63*i**2 - 5. Factor h(m).
2*(m - 16)*(m - 1)/11
Let b(w) = -11*w**3 - 11*w**2 + 5*w + 5. Let o(n) = 23*n**3 + 23*n**2 - 10*n - 10. Let l = 57 - 70. Let r(c) = l*b(c) - 6*o(c). Factor r(a).
5*(a - 1)*(a + 1)**2
Let s(l) = -21*l**3 - 2*l - 3. Let w be s(-1). Suppose q + 4*p + 5 - 9 = 0, -5*q = 3*p - w. Suppose 0*h + 0 + 0*h**3 + 0*h**2 + 1/6*h**q = 0. What is h?
0
Let v(k) be the second derivative of -k**5/5 - 2*k**4 - 16*k**3/3 + 271*k. Solve v(h) = 0.
-4, -2, 0
Let q(x) = -23*x**3 + 80*x**2 - 41*x - 16. Let a(n) = 24*n**3 - 81*n**2 + 42*n + 15. Let o(v) = -2*a(v) - 3*q(v). Solve o(c) = 0.
-2/7, 1, 3
Let o = 480 - 478. Let k(v) be the first derivative of 0*v**3 - 1/16*v**4 + 1/8*v**o + 0*v - 3. Solve k(g) = 0.
-1, 0, 1
Let v(p) be the first derivative of p**6/630 - p**5/420 - p**4/84 - 6*p**3 - 25. Let d(y) be the third derivative of v(y). Factor d(m).
2*(m - 1)*(2*m + 1)/7
Let v be ((-1)/2)/((-7)/42). Factor -2 - 15 - 16 + 63 - v*j**2 + 27*j.
-3*(j - 10)*(j + 1)
Let u = -18 + 30. Let a(f) = 40*f**4 + 4*f**3 - 28*f**2 - 4*f. Let t(k) = -k**4 - k**3 + k. Let r(l) = u*t(l) + a(l). Factor r(b).
4*b*(b - 1)*(b + 1)*(7*b - 2)
Let g(o) be the first derivative of -2*o**5/15 - o**4/6 + 4*o**3/3 - 99. Solve g(t) = 0.
-3, 0, 2
Let p be 5*(1 + (-3)/5). Determine g, given that -9*g**2 - g + 10*g**p + 3*g = 0.
-2, 0
Let s(r) be the first derivative of -35/3*r**3 + 14 - 5*r**2 + 0*r + 5*r**4. Suppose s(m) = 0. Calculate m.
-1/4, 0, 2
Let v = 4808/43029 - 3/4781. Factor 1 + 5/3*d + 7/9*d**2 + v*d**3.
(d + 1)*(d + 3)**2/9
Let z(g) = -g**3 + 45*g**2 - 3*g + 137. Let y be z(45). Let i be ((-1)/(-2))/(15/12). Factor -6/5*o + 0*o**y + 4/5 + i*o**3.
2*(o - 1)**2*(o + 2)/5
Let y be (-20)/(-3)*3/2. Find m such that -y*m**2 - 5*m**4 + 50 + 5*m**3 + 10*m**3 - 50 = 0.
0, 1, 2
Suppose -154*m - 21 = -161*m. Factor 0 + 4/3*w**2 + 2/3*w**4 - 2*w**m + 0*w.
2*w**2*(w - 2)*(w - 1)/3
Let v(n) be the second derivative of 1/4*n**4 + 3/20*n**5 + 1/30*n**6 + 0*n**2 + 1/6*n**3 + 0 + 41*n. Factor v(w).
w*(w + 1)**3
Let r(w) = 2*w**4 - 3*w**3 - 3*w**2 - 8*w. Let b(c) = c**3 - 2*c**3 + 3*c**3 - 3*c**3 - c. Let a(l) = 24*b(l) - 3*r(l). Factor a(d).
-3*d**2*(d + 3)*(2*d - 1)
Let f = 375 + -372. Let h(s) be the second derivative of 1/7*s**7 - s**4 + f*s + 1/3*s**6 - 1/5*s**5 + 0 - 1/3*s**3 + s**2. Factor h(c).
2*(c - 1)*(c + 1)**3*(3*c - 1)
Let p(j) be the first derivative of 3*j**4/8 - 4*j**3 - 105*j**2/4 + 441*j + 149. Let p(o) = 0. What is o?
-6, 7
Let b be 8/(-6) + (-12)/9*-1. Let o be 3/(-2)*(-8)/14. Let 2*r**4 + b - 6/7*r**3 - o*r**2 + 4/7*r - 6/7*r**5 = 0. Calculate r.
-2/3, 0, 1
Let w = 411/718 - 5/5026. Find c, given that 0 + w*c**2 + 2/7*c + 2/7*c**3 = 0.
-1, 0
Determine t, given that 1/5*t**4 + 0 - 12/5*t**3 - 1/5*t**2 + 2/5*t**5 + 2*t = 0.
-5/2, -1, 0, 1, 2
Suppose -22*r + 18*r + 10 = -2*a, -4*r + 16 = 4*a. Factor -1/3*k**4 + 0*k**r + 0 - 2/3*k + k**2.
-k*(k - 1)**2*(k + 2)/3
Let i = -39 + 64. Let q = -20 + i. Solve 11*v**2 - 2*v**4 - 5*v**4 - 8*v**3 - 7*v**2 - q*v**4 = 0.
-1, 0, 1/3
Let s(o) be the second derivative of o**4/36 + 10*o**3/3 + 150*o**2 - 223*o. Solve s(y) = 0 for y.
-30
Suppose f - 4*f + 6 = 0. Suppose -4*q - 7 = -f*c - 7*q, -5*q - 1 = -3*c. Factor -2/9*k**c - 2/9 - 4/9*k.
-2*(k + 1)**2/9
Let z(c) = 3*c**2 - 20*c + 5. Let i(n) = -2*n**2 + 20*n - 4. Let j(t) = -5*i(t) - 4*z(t). Determine l so that j(l) = 0.
-10, 0
Let c be (1 - 1) + 205/1025. Suppose 0 + 4/5*l**5 + 3/5*l**4 + 0*l + 0*l**2 - c*l**3 = 0. What is l?
-1, 0, 1/4
Let x(j) be the second derivative of 3/2*j**2 - 1/10*j**6 - 3/10*j**5 + j**3 + 0 + 0*j**4 + 4*j. Let x(g) = 0. What is g?
-1, 1
Let d(v) be the first derivative of -13 + 0*v**3 + 1/10*v**4 - 1/25*v**5 + 0*v + 0*v**2. What is c in d(c) = 0?
0, 2
Let d = 723 - 3599/5. Let p(a) be the first derivative of 16/5*a**2 + 4/3*a**3 - 2 + 1/5*a**4 + d*a. Factor p(y).
4*(y + 1)*(y + 2)**2/5
Let j(w) be the first derivative of -w**4/66 - 2*w**3/11 - 9*w**2/11 + 22*w - 14. Let h(m) be the first derivative of j(m). Suppose h(g) = 0. Calculate g.
-3
Suppose 0 = 3*r + 15, 6*r - 30 = -5*t + 9*r. Solve 0*n**2 + 0 + 0*n + 2/19*n**4 - 2/19*n**t = 0 for n.
0, 1
Let m(i) = 17*i**2 + 712*i - 81. Let g be m(-42). Find q, given that 9/7*q**g - 3/7*q**4 - 18/7 + 9/7*q**2 - 3*q = 0.
-1, 2, 3
Let g = 2 + 1. Let z(q) =