 + 1)
Let d(p) be the second derivative of -p**4/24 - 7*p**3/6 + 30*p**2 + 720*p. Factor d(u).
-(u - 6)*(u + 20)/2
Let q be 8552/(-840) + 3/(-15). Let d = 82/7 + q. Solve 0*c**2 - 2/3*c**5 + 0*c**4 - 2/3*c + d*c**3 + 0 = 0.
-1, 0, 1
Let u(h) be the second derivative of h**7/231 + 91*h**6/165 + 279*h**5/11 + 450*h**4 + 9000*h**3/11 - 120*h. Let u(v) = 0. What is v?
-30, -1, 0
Let c(a) be the second derivative of a**7/168 - 437*a**6/120 + 47083*a**5/80 + 143881*a**4/48 + 18095*a**3/3 + 6050*a**2 + 603*a. Find y, given that c(y) = 0.
-1, 220
Let b = 158 + -206. Let k be (b/28)/((-4)/28). Suppose -45/4*i**3 - 3/2 + 3*i**4 + k*i**2 - 9/4*i = 0. What is i?
-1/4, 1, 2
Let w(b) = -171*b + 3254. Let q be w(19). Find j, given that 0*j + 3/4*j**4 + 1/4*j**q - j**3 + 4 - 4*j**2 = 0.
-2, 1, 2
Suppose 4*a + 4*t = -12, 3*a - 3*t = a + 19. Factor 1/9*w**3 + 7/9*w - 1/3 - 5/9*w**a.
(w - 3)*(w - 1)**2/9
Suppose 2*x - 7 = -1. Let w = 31313/21 + -4445/3. Determine t so that 44/7*t**4 + 0 + 40/7*t**2 - 10/7*t**5 - w*t**x - 8/7*t = 0.
0, 2/5, 1, 2
Let h be (-6)/(-18) - (-14)/(-60). Let r(y) be the second derivative of 1/100*y**5 - 1/30*y**3 + 1/60*y**4 - y - h*y**2 + 0. Let r(n) = 0. What is n?
-1, 1
Determine h so that -191*h + 3*h**2 + 444*h - 466*h - 216 = 0.
-1, 72
Suppose -c - 3*c + 180 = 0. Suppose 5*b + 515 = 3*l, 5*b = -2*l + 265 + c. Factor 30*n**3 + 32*n**3 - 45*n**4 - l*n**2 + 37*n**3 + 75*n - 10 + 46*n**3.
-5*(n - 1)**3*(9*n - 2)
Solve 726 + 131*y**2 - 422*y**2 - 3*y**4 - 63*y**3 + 268*y + 227*y = 0.
-11, -1, 2
Factor 12 + 4670*g**3 - 12*g - 2337*g**3 - 3*g**2 - 2330*g**3.
3*(g - 2)*(g - 1)*(g + 2)
Let l(k) = k**3 - k**2 - 3*k + 2. Let t be l(3). Let w = 32 - t. Find n such that -39*n**2 + w*n + 102*n**2 + 35*n**2 + 2 + 7*n = 0.
-1/7
Suppose 150 - 78*o + 3/2*o**2 = 0. Calculate o.
2, 50
Let h(l) = -33*l**4 - 63*l**3 + 864*l**2 + 5502*l + 8622. Let d(s) = 13*s**4 + 25*s**3 - 346*s**2 - 2201*s - 3449. Let v(t) = 18*d(t) + 7*h(t). Factor v(i).
3*(i - 9)*(i + 4)**3
Let x = -21 + 48. Suppose x*a**2 - 99 + 42 + 45 - 48*a = 0. Calculate a.
-2/9, 2
Let c(q) be the first derivative of 2*q**3/3 - 16*q**2 + 56*q - 16. Let c(z) = 0. Calculate z.
2, 14
Suppose 11*a - 9 = 13. Let m(z) be the first derivative of 6 - 1/27*z**3 - 2/9*z - 1/6*z**a. Determine x so that m(x) = 0.
-2, -1
Let d(z) be the third derivative of -136/27*z**4 + 4*z**2 + 506/135*z**5 + 64/27*z**3 + 17/15*z**6 + 3/35*z**7 + 0 + 0*z. Solve d(b) = 0 for b.
-4, 2/9
Let m(j) be the first derivative of 1/3*j**3 - 20/3*j - 14/3*j**2 + 5. Suppose m(c) = 0. Calculate c.
-2/3, 10
Let k be 12/(-34)*(-2)/16. Let u = 12/17 + k. Let 1/4*i**5 + 1/4*i**4 - 1/4*i**2 + 1/2*i - u*i**3 + 0 = 0. Calculate i.
-2, -1, 0, 1
Let z(o) be the third derivative of -o**5/20 - 61*o**4/8 - 5*o**2 + 11*o. Factor z(h).
-3*h*(h + 61)
Determine v, given that -5/2*v**3 + 5/2*v + 3 - 5/2*v**2 - 1/2*v**4 = 0.
-3, -2, -1, 1
Let n(u) be the third derivative of -u**6/60 + 17*u**5/40 - 107*u**4/48 - 5*u**3/2 + 2*u**2 + 1. Determine o so that n(o) = 0.
-1/4, 3, 10
Let m = -35/2 - -18. Let v be (1*3)/(18 - 16). Suppose 1 - m*a - v*a**2 = 0. Calculate a.
-1, 2/3
Let k(m) = 2*m + 7. Let r(l) = l + 7. Let f(v) = -2*k(v) + 3*r(v). Let q be f(5). Factor -2/7*d**q + 0*d + 2/7.
-2*(d - 1)*(d + 1)/7
Find k such that -2/9*k**3 + 2/3*k**2 + 0 + 4*k = 0.
-3, 0, 6
Let u(d) be the first derivative of -2*d**5/15 + 23*d**4/15 + 16*d**3/9 - 200. Factor u(o).
-2*o**2*(o - 10)*(5*o + 4)/15
Suppose 5*k - 38 - 5*k**2 + 20 + 48 = 0. What is k?
-2, 3
Let l(v) = 19*v + 43. Let h be l(-3). Let t be (-1)/(-11)*h*(-4)/14. Determine q, given that 6/11*q - 2/11*q**2 - t = 0.
1, 2
Let z be (-44)/(-20) - (-1)/(-5). Factor -5*t**2 + 2*t**3 - 3*t**2 + 2*t**z + 2*t**2.
2*t**2*(t - 2)
Let b(w) be the second derivative of -5*w**7/168 - w**6/8 + w**5/2 + 5*w**4/4 - 10*w**3/3 + 7*w + 2. Suppose b(j) = 0. What is j?
-4, -2, 0, 1, 2
Let z(i) = -20*i**2 - 161*i - 4. Let b be z(-8). Determine k so that -b*k**2 - 2/9 + 0*k**3 + 16/9*k + 6*k**4 = 0.
-1, 1/3
Let l be 1 + 2/(-1)*-4. Let c be l*(-4)/36*-3. Find b such that 29*b**4 + b - 15*b**5 - 11*b**c + 4 - 33*b**2 + 30*b**3 - 5*b = 0.
-1, -2/5, 1/3, 1, 2
Let w be ((-2)/(-4))/(35/12 + -3). Let s(i) = -9*i**2 + 6*i - 7. Let p(m) = 8*m**2 - 6*m + 6. Let l(y) = w*s(y) - 7*p(y). Solve l(j) = 0 for j.
0, 3
Let m(z) be the first derivative of -13 - 8/5*z - 4/5*z**2 - 2/15*z**3. Factor m(g).
-2*(g + 2)**2/5
Determine b, given that -8/7*b**3 - 68/7*b + 0 + 274/7*b**2 = 0.
0, 1/4, 34
Let w(x) be the second derivative of 3*x**4/2 - 70*x**3/3 - 16*x**2 + 5*x + 8. Determine u so that w(u) = 0.
-2/9, 8
Let k(q) be the second derivative of -3*q**5/80 + 11*q**4/8 - 121*q**3/8 + 189*q. Factor k(b).
-3*b*(b - 11)**2/4
Let c(i) be the third derivative of -i**8/28 - 8*i**7/105 + 4*i**6/15 + 6*i**5/5 + 11*i**4/6 + 4*i**3/3 - 225*i**2. Determine m so that c(m) = 0.
-1, -1/3, 2
Let z(o) be the second derivative of 0 - 11/9*o**3 + 8*o - 2/3*o**2 + 13/18*o**4. Let z(d) = 0. Calculate d.
-2/13, 1
Factor 0 + 186/11*s**3 - 92/11*s**2 - 4/11*s**4 + 0*s.
-2*s**2*(s - 46)*(2*s - 1)/11
Let o = 6540 - 6540. Solve -2/9*i**3 + 2/9*i + 2/9*i**2 - 2/9*i**4 + o = 0.
-1, 0, 1
Suppose 0 = -5*n - s + 9 - 3, 0 = 3*s + 12. Find r, given that 4*r**2 + 2*r + 16*r**3 + r**n + r**4 - 12*r**3 = 0.
-2, -1, 0
Let k be -5 - -1 - (1 - 7). Factor 635 + k*z**2 - 641 + 8*z - 4*z**2.
-2*(z - 3)*(z - 1)
Let m = 52 + -47. Let a(z) = -8*z**4 - 17*z**3 - 10*z**2 - z + 5. Let b(o) = o**4 + o**3 - o**2 - o - 1. Let f(t) = m*b(t) + a(t). Solve f(v) = 0 for v.
-2, -1, 0
Let t = 1270 + -204472/161. Let c = 25/161 + t. Factor 2/7 + 1/7*k**3 - 2/7*k**2 - c*k.
(k - 2)*(k - 1)*(k + 1)/7
Let o(l) = l**2 + 2*l - 5. Let a be o(-4). Find t such that 232*t**2 + 243*t**3 + 52*t**4 + t**5 - 75*t**a + 2*t**5 + t**5 + 148*t + 36 = 0.
-9, -1
Suppose -7 = -4*u + s, 2*u + 5 = 7*u - 5*s. Suppose 32/7*k**3 - 16/7*k**u - 2*k - 2/7 = 0. What is k?
-1/4, 1
Factor -25*t - 103*t**3 + 129*t**3 + 13 + 9*t**2 - 11*t**2 - t**5 - 11*t**4.
-(t - 1)**3*(t + 1)*(t + 13)
Find g such that -8/7*g**2 - 4*g**3 + 0 - 8/7*g**4 + 12/7*g = 0.
-3, -1, 0, 1/2
Find s, given that -1481*s**3 + 11236 - 15604*s**2 + 6042*s - 170*s**4 - 2*s**5 - 149*s**4 + 4584*s**2 - 4559*s**3 + 103*s**4 = 0.
-53, -2, -1, 1
Let m(c) be the second derivative of -c**7/70 - 38*c**6/75 + 403*c**5/100 - 42*c**4/5 + 6*c**3 + 542*c. Find v, given that m(v) = 0.
-30, 0, 2/3, 1, 3
Let k(x) be the second derivative of -5*x**4/12 - x**3/6 - x**2 - 14*x. Let v(f) = 9*f**2 + 3*f + 5. Let b(j) = -7*k(j) - 4*v(j). Factor b(h).
-(h + 2)*(h + 3)
Let z = 133/44 + -23/44. Let z*y**2 + 1 - 7/2*y = 0. Calculate y.
2/5, 1
Let a(t) = -t**2 - 7*t + 370. Let j be a(-23). Factor 0*b + 5/3*b**4 + 0 + 5/3*b**j - 10/3*b**3.
5*b**2*(b - 1)**2/3
Determine i, given that 40/9*i - 4/9*i**2 - 100/9 = 0.
5
Let m be ((-9)/(-7) - 3)*84/(-8). Factor m*z**3 + 16*z - 5*z**3 - 9*z**3 + 16*z**2.
4*z*(z + 2)**2
Suppose -2*r + 18 = 5*t - 6, 4*t = -5*r + 26. Factor 5*q**3 - 5*q**r + 9*q**2 + q**2.
5*q**2*(q + 1)
Let u(d) be the first derivative of -d**4/18 - 8*d**3/3 - 35*d**2/9 - 239. Factor u(b).
-2*b*(b + 1)*(b + 35)/9
Let m(n) = 29*n**2 - 552*n + 21. Let r be m(19). Solve 1/4*y + 3/8*y**r + 0 + 1/8*y**3 = 0 for y.
-2, -1, 0
Let p = -31 - -18. Let l be (2/(-8))/(p/104). Factor 5*u**3 + l*u**4 + 7*u**3 - 3*u**3 - 7*u**3.
2*u**3*(u + 1)
Let n(w) = 90*w**2 + 160*w + 80. Let x(d) = d**4 + 90*d**2 + 160*d + 81. Let c(z) = 6*n(z) - 5*x(z). Suppose c(m) = 0. Calculate m.
-3, -1, 5
Let r(w) be the first derivative of w**3 - 33*w**2/2 - 36*w - 85. Solve r(b) = 0 for b.
-1, 12
Suppose k - 14 + 11 = 0. Factor -11*o**k + 36*o**3 - 39 + 95*o**2 - 10*o**2 - 21 + 40*o.
5*(o + 2)**2*(5*o - 3)
Suppose 5*z - 3*z = 8. Let h be (-3)/(-2) - 69/46. Factor -4/5*j**z + 4/5*j**2 + 4/5*j**3 + h - 4/5*j.
-4*j*(j - 1)**2*(j + 1)/5
Suppose j = -26*j + 54. Let d be (-2 - -2)/(5 - 2). Solve -2*f**5 + 7/2*f**3 + f**j - 5/2*f**4 + 0 + d*f = 0 for f.
-2, -1/4, 0, 1
Let q be ((-44)/(-66))/(1*2/9). Suppose 4*n = 3 - 11, -2*m + 3*n + 10 = 0. Find o such that 32/3 + 16/3*o - 8/3*o**m - 4/3*o**q = 0.
-2, 2
Let s = 11147/13006 + 1/13006. Factor -48*h**3 + 0 - s*h**5 - 576/7*h**2 - 256/7*h - 76/7*h**4.
-2*h*(h + 4)**3*(3*h + 2)/7
Let y(p