
-1
Let z(t) be the first derivative of -t**6/1440 - t**5/24 + 11*t**4/24 - 16*t**3/3 - 11*t + 341. Let n(k) be the third derivative of z(k). Factor n(g).
-(g - 2)*(g + 22)/4
Let t = -1272402/11 + 115674. Factor 12/11 - 2*w - 2/11*w**3 + t*w**2.
-2*(w - 3)*(w - 2)*(w - 1)/11
What is d in 160/7 + 3062/7*d**3 + 1712/7*d + 5146/7*d**2 + 50/7*d**5 + 670/7*d**4 = 0?
-5, -4, -1/5
Let i(n) be the first derivative of 193 + 64*n - 4*n**3 + 0*n**2 - 1/2*n**4. Find v such that i(v) = 0.
-4, 2
Let i(l) be the third derivative of l**5/270 - 23*l**4/27 + 6233*l**2. Suppose i(r) = 0. Calculate r.
0, 92
Suppose 4*z - 5*h = -204, 3*z + 3*h + 153 = -0*h. Let o = -48 - z. Factor 35*q + 16*q**o - 2*q**4 - 42*q**2 - 56*q + 57*q.
-2*q*(q - 3)**2*(q - 2)
Factor -221 + 52*f**2 - 899 - 13*f**2 - 35*f**2 + 195*f - 9*f**2.
-5*(f - 32)*(f - 7)
Suppose 5 = -4*t + l, -25 + 49 = -t + 2*l. Solve 52/23*a - 2/23*a**3 + 2/23*a**t + 48/23 = 0.
-4, -1, 6
Factor -3*q**2 - 117 - 3*q**2 - 6*q + 2*q - 10*q**2 + 17*q**2.
(q - 13)*(q + 9)
Let s be ((-12260)/(-79690))/(-8*(-6)/52). Factor -4/3*j + 7/6 + s*j**2.
(j - 7)*(j - 1)/6
Let v = 117 - 115. What is d in 64 - 5*d**v - 19*d - 99 + d - 22*d = 0?
-7, -1
Let j(z) = 4*z**4 + 48*z**3 - 56*z**2 - 40*z + 28. Let b(s) = -s + 3. Let u(l) = 8*b(l) + j(l). Factor u(f).
4*(f - 1)**2*(f + 1)*(f + 13)
Let f = -541 - -722. Factor -75*i + f + 23*i + 2*i**2 - 156 - 79.
2*(i - 27)*(i + 1)
Factor 2/5*g**2 - 12 - 26/5*g.
2*(g - 15)*(g + 2)/5
Suppose 14200 = -13*b - 7*b. Let f = b - -714. Factor 3*a**3 + 3/8*a**f + 3 + 63/8*a**2 + 33/4*a.
3*(a + 1)**2*(a + 2)*(a + 4)/8
Let r(v) be the second derivative of v**4/18 + 752*v**3/3 + 424128*v**2 + 2159*v. Suppose r(t) = 0. Calculate t.
-1128
Factor 0 + 2/7*j**3 - 8/7*j**2 + 0*j.
2*j**2*(j - 4)/7
Solve 104/9*l**3 + 162 - 312*l + 1244/9*l**2 + 2/9*l**4 = 0.
-27, 1
Let y(a) be the second derivative of a**6/6 + 11*a**5 + 35*a**4/2 - 110*a**3/3 - 215*a**2/2 - 1178*a. Factor y(q).
5*(q - 1)*(q + 1)**2*(q + 43)
Let q(h) be the second derivative of h**6/225 + 17*h**5/75 + 41*h**4/30 + 2*h**3 + 246*h. Solve q(b) = 0 for b.
-30, -3, -1, 0
Let f(a) be the second derivative of 70/3*a**2 + 1/9*a**4 + 64*a + 0 - 8/3*a**3. What is j in f(j) = 0?
5, 7
Let u(z) = 13*z + 2. Let v be u(0). Let d = 63 - 61. Factor 6*b + 9*b + 6*b**d - 9*b**v.
-3*b*(b - 5)
Let u be 507/(-117)*128/(-416). Factor 0*x + 0 + 8/3*x**4 - 4/3*x**2 - u*x**3.
4*x**2*(x - 1)*(2*x + 1)/3
Let m = -649179/5 - -129841. Factor 8/5*k**4 - m*k**3 + 2/5 - 14/5*k + 6*k**2.
2*(k - 1)**3*(4*k - 1)/5
Let v(t) be the second derivative of -11/6*t**3 - 13*t - 1 - 5*t**2 - 1/12*t**4. Factor v(x).
-(x + 1)*(x + 10)
Let h(p) = -72 - 121 + 18*p**2 - 4*p - 166*p + 5*p**2. Let n(o) = -11*o**2 + 85*o + 96. Let y(m) = 6*h(m) + 13*n(m). Determine z so that y(z) = 0.
-1, 18
Let j = 422 + -1683/4. Let x be (-7)/2 + (-85)/((-170)/12). Factor -x*v**2 - j*v**3 - 5 + 35/4*v.
-5*(v - 1)**2*(v + 4)/4
Let u(o) = 20*o**2 - 37*o - 320. Let l(z) = 29*z**2 - 53*z - 479. Let r(x) = 10*l(x) - 14*u(x). Factor r(s).
2*(s + 5)*(5*s - 31)
Let h be ((-15)/12)/((18/(-14))/(256/224)). Let v(d) be the second derivative of 50/3*d**2 + 0 - 9*d + 1/36*d**4 + h*d**3. Factor v(z).
(z + 10)**2/3
Factor -62/9*q**4 + 244/9*q**3 - 232/9*q**2 + 0 - 16/9*q.
-2*q*(q - 2)**2*(31*q + 2)/9
Let x be (-1)/((84/(-60))/((-296)/(-40))) + 5 + -10. Factor -x*z**4 - 512/7 - 960/7*z - 386/7*z**2 + 60/7*z**3.
-2*(z - 16)**2*(z + 1)**2/7
Let z(y) = 3*y**3 - 918*y**2 + 919*y + 1850. Let s(i) = i**3 - i + 2. Let j(c) = -5*s(c) + z(c). Factor j(t).
-2*(t - 2)*(t + 1)*(t + 460)
Let k(f) be the first derivative of 3*f**5/5 - 23*f**4/2 + 32*f**3 - 33*f**2 + 13*f + 2983. Find d such that k(d) = 0.
1/3, 1, 13
Let h(d) = 10*d**2 - 32*d - 86. Let c(z) = 9*z**2 - 30*z - 81. Let r(o) = 6*c(o) - 5*h(o). Factor r(i).
4*(i - 7)*(i + 2)
Suppose 8*g - 2206 = 770. Solve 367*w**2 - 745*w**2 + 3*w**3 + g*w**2 = 0.
0, 2
Let m(l) be the second derivative of 1/40*l**6 - 13/2*l**2 - 7/8*l**4 + 0 + 1/10*l**5 - 23*l + 2*l**3. Let z(f) be the first derivative of m(f). Solve z(v) = 0.
-4, 1
Suppose v + 10*v - 55 = 0. Factor w**5 - 9*w**2 - 24*w**3 - 18*w**3 - 3*w**v - 16*w**4 - 27*w**2.
-2*w**2*(w + 2)*(w + 3)**2
Let q(o) = 2*o**2 + o + 1. Let r(y) = -27*y**2 + 888*y - 909. Let x(i) = -12*q(i) - r(i). Factor x(n).
3*(n - 299)*(n - 1)
Factor 2574/7*d**2 - 18468/7*d + 1/7*d**4 + 29241/7 + 108/7*d**3.
(d - 3)**2*(d + 57)**2/7
Let b(n) = -3*n**4 + 19*n**3 + 17*n**2 + 23*n + 12. Let s(r) = -7*r**4 + 47*r**3 + 35*r**2 + 46*r + 25. Let h(j) = 15*b(j) - 6*s(j). Let h(t) = 0. What is t?
-2, -1, 5
Let r(m) be the third derivative of 7*m**6/60 + 159*m**5/20 + 170*m**4 + 289*m**3/6 + 25*m**2 + 10. Factor r(d).
(d + 17)**2*(14*d + 1)
Let g(y) be the first derivative of -2*y**3/3 + 2658*y**2 - 3532482*y - 8119. What is d in g(d) = 0?
1329
Let w(g) be the third derivative of -g**8/1680 - 22*g**7/175 + 269*g**6/300 - 203*g**5/75 + 181*g**4/40 - 68*g**3/15 - 3527*g**2. Factor w(a).
-(a - 1)**4*(a + 136)/5
Let a be (31176/(-108))/(4/6). Let d = a + 437. Find z, given that 14/3*z**d - 2*z**2 + 0 - 4/3*z + 2*z**5 + 2*z**3 = 0.
-1, 0, 2/3
Suppose -109*x + 10 - 491 + 3 = -348*x. Find p, given that -2/3 - 5/6*p + 11/3*p**x - 13/6*p**3 = 0.
-4/13, 1
Find o, given that 0 + 1/6*o**4 + 1/3*o**3 + 0*o + 1/6*o**2 = 0.
-1, 0
Suppose -2*u - 81 = -85. Suppose 74*w**2 - 37*w**u - 36*w**2 + 5*w = 0. Calculate w.
-5, 0
Suppose 4*a + 21 - 5 = 0. Let k be (a/18)/(((-6)/(-54))/(-1)). Factor 87*w + 10 + 15*w**4 + 22*w**k + 81*w**3 + 8 + 113*w**2.
3*(w + 1)**2*(w + 3)*(5*w + 2)
Solve -3/5*r**2 + 207/5*r - 192 = 0.
5, 64
Let g(l) be the third derivative of -2*l**2 + 0 - 1/160*l**6 - 1/4*l**4 - 16*l - 1/16*l**5 - 1/2*l**3. What is i in g(i) = 0?
-2, -1
Let l(j) be the first derivative of -1/2*j**6 - 12/5*j**5 + 4*j**3 - 15/2*j**2 + 0*j + 9/2*j**4 - 12. Let l(c) = 0. What is c?
-5, -1, 0, 1
Let u(s) be the second derivative of -s**7/21 + 7*s**6/15 + 17*s**5/10 + 3*s**4/2 + 2808*s. What is g in u(g) = 0?
-1, 0, 9
Suppose 2*h - l - 275 = 0, 0 = 5*l + 30 - 5. Factor -n**3 + 385*n**2 + h*n + 6*n**3 + 65 - 709*n**2 + 399*n**2.
5*(n + 1)**2*(n + 13)
Let z(x) = 30*x**2 - 118*x - 6. Let q be z(4). Suppose q*y + 17*p = 14*p + 9, -5*y - 5*p = -15. Factor y - 2/5*g**3 - 4/5*g**2 - 2/5*g.
-2*g*(g + 1)**2/5
Find a such that -604 - 2/3*a**2 + 610/3*a = 0.
3, 302
Let s(d) be the third derivative of -1/15*d**6 + 0*d**3 + 2*d + 89*d**2 + 1/3*d**4 + 1/15*d**5 - 2/105*d**7 + 0. Find q such that s(q) = 0.
-2, -1, 0, 1
Let y(i) be the second derivative of i**4/24 + 159*i**3/2 - 376*i + 5. Find l such that y(l) = 0.
-954, 0
Let y be 1*6/(-15)*-5. Let k be y + (-112)/20 + 16/4. Factor -1/5*l**3 + 4/5 + k*l**2 + 7/5*l.
-(l - 4)*(l + 1)**2/5
Let o = 20213 + -727667/36. Let b(v) be the third derivative of o*v**4 + 1/12*v**3 + 0*v + 1/360*v**5 + 0 + 29*v**2. What is g in b(g) = 0?
-3, -1
Suppose 2*j = -w + 8, -19 = -w - 4*w - 3*j. Determine z so that 200*z - 43*z**2 - 45*z**w - 37*z**2 + 166*z**2 - 46*z**2 - 195 = 0.
1, 39
Let a(r) be the third derivative of -r**7/1365 + 11*r**6/780 - 11*r**5/130 + 37*r**4/156 - 14*r**3/39 - 324*r**2. Solve a(u) = 0 for u.
1, 2, 7
Let b(l) be the second derivative of -5*l**7/84 - 19*l**6/30 + 491*l**5/40 - 235*l**4/6 + 25*l**3 + 2895*l. Solve b(v) = 0 for v.
-15, 0, 2/5, 2, 5
Factor 64/5 + 1/5*w**2 + 13*w.
(w + 1)*(w + 64)/5
Factor -16*j**3 + 87 - 24*j**3 - 351 + 284*j + 36*j**3 - 16*j**2.
-4*(j - 6)*(j - 1)*(j + 11)
Suppose 2210*g + 2220*g**2 + 0 + 5/2*g**4 + 1125/2*g**3 = 0. What is g?
-221, -2, 0
Suppose -33 = 83*b - 199. Let c(x) be the second derivative of -1/30*x**5 + 13*x - 1/9*x**3 + 0*x**b - 1/9*x**4 + 0. Let c(q) = 0. What is q?
-1, 0
Let l be (-25 - (38/2 + -45))*2/6. Determine u so that 64/3*u**2 + l*u**5 + 32/3*u + 11/3*u**4 + 0 + 14*u**3 = 0.
-4, -2, -1, 0
Let c be ((-3786)/(-532) - 0)/((-1000)/(-160)). Let g = 2/475 + c. Factor -8/7 + 10/7*r**2 - 6/7*r**3 + g*r.
-2*(r - 2)*(r + 1)*(3*r - 2)/7
What is y in 0*y**2 + 11/4*y**4 - 3/4*y**3 + y**5 + 0 + 0*y = 0?
-3, 0, 1/4
Factor 39*i**3 - 81*i - 809 + 249*i**3 + 3*i**5 - 18*i**3 + 80 + 357*i**2 + 129*i**2 + 51*i**4.
3*(i - 1)*(i + 3)**3*(i + 9)
Let k(j) be the second derivative of -j**5/5 - 7*j**4 + 8*j**3/3 + 168*j**2 + 54*