vative of -z**5/100 + z**4/4 - 8*z**3/5 + 9*z**2/2 - 20. Let h(f) be the second derivative of r(f). Factor h(w).
-3*(w - 8)*(w - 2)/5
Let s be ((-4)/(-8)*6 - 4)*-89. Let q = s + -87. Suppose -3*l**3 - 205*l**q + 12 + 100*l**2 + 96*l**2 = 0. What is l?
-2, 1
Solve 2/9*t**5 + 0*t + 0 + 2/3*t**4 + 0*t**3 - 8/9*t**2 = 0 for t.
-2, 0, 1
Let h(f) be the second derivative of -5*f**4/12 - 905*f**3/6 + 455*f**2 - f - 36. Factor h(a).
-5*(a - 1)*(a + 182)
Let t(r) be the first derivative of 6*r + 1/4*r**4 - 38 + 8/3*r**3 + 13/2*r**2. Factor t(y).
(y + 1)**2*(y + 6)
Let w(o) be the second derivative of -o**6/30 + 119*o**5/2 - 117611*o**4/4 - 354620*o**3/3 - 177608*o**2 + 6088*o. Solve w(n) = 0 for n.
-1, 596
Let j(n) = n**3 + 14*n**2 + 38*n - 8. Let u be j(-8). Find a such that -10*a**4 - 84*a**5 - 80*a**2 + u*a**3 + 88*a**5 - 18*a**4 + 32*a = 0.
0, 1, 2
Let k(v) be the second derivative of -9/2*v**2 - v + 9/2*v**4 + 53/2*v**3 - 49. Find i such that k(i) = 0.
-3, 1/18
Let p = 303229 + -303229. Factor -11/8*k**4 - 1/4*k**2 + p*k - 13/8*k**3 + 0.
-k**2*(k + 1)*(11*k + 2)/8
Suppose -1036 = 5*q + x - 313, 0 = 5*q - 2*x + 714. Let n be q/(-960) - (-1)/4. Determine z, given that 4/5*z**3 - 4/5*z - 2/5*z**4 + 0 + n*z**2 = 0.
-1, 0, 1, 2
Let r(f) be the third derivative of f**7/140 + 3*f**6/40 - 49*f**5/40 + 33*f**4/8 + 2086*f**2. Let r(d) = 0. What is d?
-11, 0, 2, 3
Suppose -6*u + 561 - 561 = 0. Suppose 17*m - 11 - 23 = u. Factor 0 - 2/3*g + 2/3*g**m.
2*g*(g - 1)/3
Suppose -2*k + 110 = -4*r, 72 = 3*k - 4*r - 101. Let k*o**2 + 477 - 60*o**2 + 190 + 416 - 114*o = 0. What is o?
19
Suppose -31*d - 16 = -33*d. Suppose 9 = d*o - 7. Factor -2*s**o - 2*s**2 + 3*s**3 + s**3 - 4*s**2.
4*s**2*(s - 2)
Suppose 6*y = -4*v - 42, -46*v - 69 = -3*y - 42*v. What is c in 0*c + 0 + 1/5*c**y + 29/5*c**2 = 0?
-29, 0
Let z(v) = -5*v**3 + 109*v**2 - 238*v - 530. Let y be z(19). Suppose 0 - 1/9*k**5 + 0*k - 784/9*k**3 - 56/9*k**4 + 0*k**y = 0. Calculate k.
-28, 0
Suppose -39*q - 183 = 12. Let i be (9/(q + -13))/(-3). What is d in 1/2*d**5 + 0*d - 1/3*d**3 + 0*d**2 + i*d**4 + 0 = 0?
-1, 0, 2/3
Let t be (20/(-3))/20*-30. Let r(c) be the first derivative of -c - 5/12*c**3 + t - c**2 - 1/16*c**4. Factor r(y).
-(y + 1)*(y + 2)**2/4
Let y(l) = 11*l - 121. Let t be y(16). Factor 5*g**3 - 25 + 8 - 30*g**2 + t*g - 12 - 1.
5*(g - 3)*(g - 2)*(g - 1)
Let o = -299379 + 299379. Suppose 1/6*a**2 + o + 4*a = 0. What is a?
-24, 0
Let a(w) be the third derivative of -3025/8*w**3 - 4*w**2 - 1/80*w**5 + 55/16*w**4 + 4*w + 0. Factor a(y).
-3*(y - 55)**2/4
Let x(y) be the second derivative of y**8/2016 - y**7/315 + y**6/270 + 7*y**4/12 - y**3/6 + 59*y. Let s(g) be the third derivative of x(g). Factor s(d).
2*d*(d - 2)*(5*d - 2)/3
Let z be (3 - (-101)/6) + 2/12. Suppose -6 = 5*b - 46. Find c such that 16*c**3 + 2*c**2 + z*c - 54*c**2 - b*c**2 - 61*c**3 + 35*c**4 = 0.
-1, 0, 2/7, 2
Let x(n) be the third derivative of n**6/60 + 13*n**5/105 - 323*n**4/84 + 30*n**3/7 - 3*n**2 + 1026*n. Factor x(r).
2*(r - 5)*(r + 9)*(7*r - 2)/7
Solve 0 + 62/3*c**2 + 2/3*c**3 - 68*c = 0.
-34, 0, 3
Let d(z) = -5*z - 14. Let f be d(-3). Let i(j) = 4*j**2 + 2*j - 1. Let r(b) = -42*b**2 - 4*b - 14. Let t(k) = f*r(k) + 10*i(k). Solve t(v) = 0.
2, 6
Let z be 0*(-51 - -20)/62. Factor 0 + z*t + 2/11*t**3 + 4/11*t**4 + 0*t**2 + 2/11*t**5.
2*t**3*(t + 1)**2/11
Let t be -2 + (-50)/(-7) - 17/119. Let f be t + -3 + -2 + 3. Factor f*s - 4*s**2 - 2*s**3 - s + 4*s**3.
2*s*(s - 1)**2
Suppose 36*g = 58 + 122. Let b(w) be the second derivative of 9/4*w**4 - 8*w**2 + 8*w**3 + 0 + 7/40*w**g - 12*w. Factor b(q).
(q + 4)**2*(7*q - 2)/2
Let a be (-605)/(-105) - (-6)/9 - 3/7. Let b(s) be the second derivative of 0*s**4 + 0*s**2 + 1/30*s**a - 18*s + 0 + 0*s**3 + 1/20*s**5. Factor b(q).
q**3*(q + 1)
Suppose 26*t - 14*t + 62916 = 0. Let p be t/(-214)*1*4. Factor 6*n**2 + p + 42*n + 2/7*n**3.
2*(n + 7)**3/7
Suppose -170*f = -172*f + 4. Factor 60*l**4 + 16*l**3 + 20*l**f + 8*l**3 - 56*l**4.
4*l**2*(l + 1)*(l + 5)
Let k(z) be the second derivative of z**6/180 - 13*z**5/90 + 4*z**4/9 + z**3/6 + 11*z**2 + 3*z + 12. Let c(m) be the second derivative of k(m). Factor c(q).
2*(q - 8)*(3*q - 2)/3
Let y = -836691/4 + 209182. Let -9/2 - 45/4*a - y*a**2 - 11/4*a**3 - 1/4*a**4 = 0. Calculate a.
-6, -3, -1
Suppose 5*w**4 - 30*w**2 - 27 + 27 - 3*w**4 + 28*w**3 + 120*w**2 = 0. What is w?
-9, -5, 0
Factor -2*h**3 + 433 + 412*h + 29 + 100*h**2 - 46 + h**3.
-(h - 104)*(h + 2)**2
Let a = 305 - 286. Suppose 67*z + 72 + a*z**2 - 117*z - 280*z + 8*z**2 = 0. What is z?
2/9, 12
Let m(f) be the second derivative of 2*f**7/49 - 38*f**6/105 + 3*f**5/5 - 5*f**4/21 + 9*f - 33. Determine p so that m(p) = 0.
0, 1/3, 1, 5
Suppose 1 = 5*z + x, -604*x = 4*z - 606*x - 26. Let o(k) be the first derivative of 1/9*k**3 - 18 + 1/6*k**z + 0*k. Factor o(f).
f*(f + 1)/3
Let l(f) be the second derivative of 3*f**5/20 - 101*f**4 - 405*f**3/2 + 1888*f. Factor l(d).
3*d*(d - 405)*(d + 1)
Factor -1/4*h**2 + 354 - 175/2*h.
-(h - 4)*(h + 354)/4
Let x(r) be the third derivative of -7*r**5/24 - r**4/32 - 2212*r**2. Factor x(i).
-i*(70*i + 3)/4
Suppose -76 = -97*i + 93*i. Factor i + 4 + 25*b**2 - 23 - 10*b.
5*b*(5*b - 2)
Suppose -4*l - 23 = -h + 2, -h = -1. Let y(f) = -8 + 88*f + 89*f**2 - 93*f - 91*f**2. Let b(u) = 3*u**2 + 6*u + 9. Let r(j) = l*y(j) - 5*b(j). Factor r(a).
-3*(a - 1)*(a + 1)
Let c be (-44)/(-2)*(-128)/(-512). Let -23/4*v - 1/4*v**2 - c = 0. Calculate v.
-22, -1
Suppose -8*l = -4*l - 12. Suppose -m - 3*q = 2, 4*m + l*q = -0*m + 1. Solve d**3 - m + d + 5*d**2 - 2*d - 4*d**2 + 0*d = 0 for d.
-1, 1
Find p such that 2240 + 5/4*p**5 + 135/4*p**4 + 340*p**3 + 1555*p**2 + 3120*p = 0.
-8, -7, -2
Suppose -36 = -136*y + 134*y. Factor 19*l + 23*l**2 - y*l**3 - 51*l + 2 + 19*l**2 + 6.
-2*(l - 1)*(3*l - 2)**2
Let m be ((-15)/(-40)*-2)/((9 + -10)/4). Determine n so that 10/9*n**4 + 0 - 2/3*n**5 + 0*n - 2/9*n**m - 2/9*n**2 = 0.
-1/3, 0, 1
Let p(i) be the second derivative of -3*i**5/40 + 7*i**4/8 + 325*i**3/4 - 9633*i**2/4 - 2962*i. Factor p(l).
-3*(l - 13)**2*(l + 19)/2
Let i(b) = b**3 - 22*b**2 + 47*b - 131. Let j be i(23). Let s = 10357/7 - j. Solve 2/7*o**4 - s*o**2 + 0 + 0*o + 2/7*o**3 = 0 for o.
-2, 0, 1
Suppose 0 = 3*i - 21 + 12. Solve 45*f - 25 - f**i + 13*f**2 + 2*f**2 - 4*f**3 - 110 = 0.
-3, 3
Let l(o) be the third derivative of 3/20*o**5 - 2*o - 19/24*o**4 + 1/3*o**3 + 2*o**2 + 0. Factor l(k).
(k - 2)*(9*k - 1)
Let n(c) = -2*c**2 - 3361*c - 36729. Let m be n(-11). Find u such that m*u**2 + 0 + 0*u - 1/4*u**3 = 0.
0
Determine z so that 28/17*z**3 + 164/17*z - 120/17*z**2 - 2/17*z**4 - 70/17 = 0.
1, 5, 7
Factor -28*j + 1/6*j**5 - 122/3*j**2 + 0 - 5/2*j**4 - 19*j**3.
j*(j - 21)*(j + 2)**3/6
Suppose -18*v + 55 = 3*a - 17*v, 0 = a - 5*v - 13. Suppose -15*w + a*w - 6 = 0. Solve 5/8*r - 1/8*r**w - 1/8*r**3 - 3/8 = 0.
-3, 1
Let s = 203/277 - -19/1108. Let x(v) be the first derivative of -1/24*v**3 + s*v + 42 + 5/16*v**2. Let x(u) = 0. What is u?
-1, 6
Let 51/2*h + 3/8*h**5 - 201/8*h**4 + 201/8*h**2 + 0 - 207/8*h**3 = 0. Calculate h.
-1, 0, 1, 68
Let h(d) = -4*d**5 + 38*d**4 - 48*d**3 - 86*d**2 + 310*d - 186. Let p(r) = r**4 + 2*r**3 - r**2 + r + 1. Let z(v) = -h(v) + 6*p(v). Find j, given that z(j) = 0.
-2, 1, 2, 3, 4
Let v(q) = 3*q**3 - 113*q**2 + 950*q + 3468. Let i(b) = 10*b**3 - 363*b**2 + 2849*b + 10404. Let f(t) = 6*i(t) - 21*v(t). Determine m, given that f(m) = 0.
-3, 34
Factor 183*g + 303*g**2 - 299*g**2 - 671*g.
4*g*(g - 122)
Let m(p) be the first derivative of -p**7/525 - p**6/100 + 2*p**5/75 - p**2 + 112*p + 109. Let q(c) be the second derivative of m(c). Let q(x) = 0. What is x?
-4, 0, 1
Suppose -9*h + 6*h + 24 = 0. Let g be (0/h - -4)*50/8. Factor -g*a**4 + 89*a**2 - 10*a**4 + 198*a**3 + 57*a**3 + 121*a**2 - 80*a.
-5*a*(a - 8)*(a + 1)*(7*a - 2)
Suppose -16*c + 16 = -8*c. Suppose -c*m = -0*m - 10. Determine x, given that 69*x**3 - 28*x**4 + 4*x + 86*x**5 - 61*x**m - 42*x**4 - 28*x**2 = 0.
0, 2/5, 1
Let j(q) = 7*q**4 + 14*q**3 + 27*q**2 - 124*q + 28. Let c(v) = -8*v**4 - 14*v**3 - 26*v**2 + 126*v - 22. Let z(t) = -6*c(t) - 7*j(t). Let z(h) = 0. What is h?
-8, 1
Suppose 38*k + 5540 - 5692 = 0. What is o in -8*o**2 - 6*o**k - 12*o**3 - 20/9*o - 2/9 = 0?
-1, -1/3
Let m(n) = -7*n**4 + 616*n**