2*(d - 1)*(d + 1)/7
Factor 386/3*l**2 + 0 + 128*l + 2/3*l**3.
2*l*(l + 1)*(l + 192)/3
Factor 22750*k + 1719*k**2 - 11407 - 13921 - 3324*k**2 - 2*k**4 + 330*k**3 - 3045*k**2 - 12172.
-2*(k - 150)*(k - 5)**3
Let z = 74839 + -224515/3. Suppose -28/3*i**2 + z*i**5 + 32*i**3 + 0 - 98/3*i + 28/3*i**4 = 0. Calculate i.
-7, -1, 0, 1
Let -61597*p**4 + 2524*p - 50924*p + 25080*p**2 + 61599*p**4 - 444*p**3 = 0. What is p?
0, 2, 110
Let k(y) = -31966*y**3 + 70980*y**2 - 14384*y + 760. Let c(p) = -21311*p**3 + 47319*p**2 - 9590*p + 507. Let v(j) = -8*c(j) + 5*k(j). Factor v(w).
2*(w - 2)*(73*w - 8)**2
Solve -8829/4*w**2 + 0 - 4413/4*w - 3/4*w**4 - 4419/4*w**3 = 0.
-1471, -1, 0
Let v(a) be the third derivative of a**6/210 + 11*a**5/105 + 13*a**4/14 + 30*a**3/7 - 1294*a**2. Factor v(m).
4*(m + 3)**2*(m + 5)/7
Factor 316*g - 4*g**2 - 318 + 0*g**2 - 8*g**2 - 4*g**2 + 18*g**2.
2*(g - 1)*(g + 159)
Let m(z) be the second derivative of -2*z + 73/21*z**3 + 97 + 36/7*z**2 + 19/21*z**4 + 1/70*z**5. Factor m(h).
2*(h + 1)**2*(h + 36)/7
Suppose -23*u = 9*u - 12*u + 47*u. Solve -2/13*q**5 + u + 10/13*q**4 - 16/13*q**3 + 0*q + 8/13*q**2 = 0 for q.
0, 1, 2
Suppose -17 - 18 + 32*y + 18*y**2 - 5 - 9*y**4 - 22*y**4 - 8*y**3 + 29*y**4 = 0. Calculate y.
-5, -2, 1, 2
Let h(w) be the second derivative of w**8/168 + 23*w**7/630 + w**6/18 - w**5/45 + 37*w**2 + 52*w. Let f(k) be the first derivative of h(k). Factor f(y).
y**2*(y + 2)**2*(6*y - 1)/3
Factor 1/3*m**2 + 0 + 4/3*m - 5/6*m**3 + 1/6*m**4.
m*(m - 4)*(m - 2)*(m + 1)/6
Let u = 3999273/154 - 25969. Let d = u + -3/14. Solve -2/11*q**2 + 3/11*q**4 + d*q**5 - 3/11*q - 1/11 + 2/11*q**3 = 0.
-1, 1
Factor 536/7*j - 4/7*j**2 + 4544/7.
-4*(j - 142)*(j + 8)/7
Let d = 273 - 273. Suppose i + 3*c = 0, d = -4*i + c + c. Factor -2/13*m**5 + i - 18/13*m - 48/13*m**2 - 16/13*m**4 - 44/13*m**3.
-2*m*(m + 1)**2*(m + 3)**2/13
Let r(p) be the first derivative of -1/4*p**3 - 9/2*p**2 - 137 + 0*p. Solve r(j) = 0 for j.
-12, 0
Let r = -97734/5 - -19547. Let p(v) be the third derivative of 0 + 0*v**3 - 29*v**2 + r*v**5 - 1/40*v**6 - 1/2*v**4 + 0*v. Factor p(g).
-3*g*(g - 2)**2
Let i(u) be the second derivative of u**5/80 - 7*u**4/48 + u**3/6 + 3*u**2/2 - 4972*u. Factor i(b).
(b - 6)*(b - 2)*(b + 1)/4
What is z in 1038*z**2 - 1461*z**2 + 172800 + 103*z**3 + 23520*z + 930*z**2 - 100*z**3 = 0?
-80, -9
Let q be (-6)/(144/(-80) + (-1)/5). Let q*b + b**4 - 8*b**3 + 5*b - 7 - 20*b**2 + 26*b**2 = 0. What is b?
-1, 1, 7
Let g(l) be the first derivative of 160*l**2 + 256*l + 2/5*l**5 + 62 + 7*l**4 + 48*l**3. Factor g(r).
2*(r + 2)*(r + 4)**3
Suppose 0*y + 6 = y + x, 5*y - 26 = -4*x. Suppose -26*l**3 + 19*l**2 - 24 - 71*l**y - 82*l**2 - 176*l = 0. What is l?
-3, -2, -2/13
Suppose -298 = d - 352. Suppose -d*q**3 + 45*q**2 + 32*q**3 + 240*q + 260 + 17*q**3 = 0. Calculate q.
-2, 13
Suppose 5*a + 136 - 986 = 0. Let l = -118 + a. Factor -44*q**3 - 4*q - 4*q + 3 + 1 + l*q**3 - 4*q**4.
-4*(q - 1)**3*(q + 1)
Let k(h) be the third derivative of -h**6/480 + 221*h**5/240 - 4033*h**4/32 - 4107*h**3/8 - 4121*h**2. Suppose k(a) = 0. What is a?
-1, 111
Let u be ((-12)/(-9))/(-2) - (-4611)/261. Let n be u + -27 - 106/(-9). Find v such that 2/9 - 1/9*v**5 - v - 14/9*v**3 + 2/3*v**4 + n*v**2 = 0.
1, 2
Solve -111/2*h**2 + 135/2*h - 3/2*h**4 - 27 + 33/2*h**3 = 0.
1, 3, 6
Let x be 6*-6 - -2*2. Let g be (-1444)/x + 1/(-8). Find f, given that 35*f**3 - 10*f + g*f**4 - 25*f - 54*f**2 + 15*f**2 + 10 - 16*f**2 = 0.
-1, 2/9, 1
Let x(b) = -167*b**3 + 3161*b**2 + 988*b + 80. Let s(t) = -1669*t**3 + 31611*t**2 + 9882*t + 802. Let r(o) = -4*s(o) + 42*x(o). Let r(m) = 0. What is m?
-2/13, 19
Suppose -8*d + 108 = -2*d. Suppose 60 = -28*r + 32*r. Solve -4 + 33*y - 1 + 0*y**2 + 5*y**2 - d*y - r*y**3 = 0 for y.
-1, 1/3, 1
Suppose 4*v + 2*v = 10*v. Let j(f) be the third derivative of -1/100*f**6 + 0*f**3 + 0*f + 11/150*f**5 - 1/10*f**4 + v - 6*f**2. Factor j(n).
-2*n*(n - 3)*(3*n - 2)/5
Let y = -86828 - -86830. Factor 68*w**y + 2/3*w**4 - 24*w**3 + 22 - 200/3*w.
2*(w - 33)*(w - 1)**3/3
Let v(y) = 4*y**2 - 33*y + 29. Let q be v(9). Let c be (-132)/(-847)*q/12. Let -c + 16/11*h - 6/11*h**2 = 0. What is h?
2/3, 2
Let z = -22293/19 - -245717/209. Let -16/11*r**2 + 2/11*r**3 + z*r - 12/11 = 0. What is r?
1, 6
Solve -2307/4 + 383/2*a + 1/4*a**2 = 0.
-769, 3
Factor 112/13*h + 0 + 110/13*h**2 - 2/13*h**3.
-2*h*(h - 56)*(h + 1)/13
Determine c, given that -261*c - 456 - 27/2*c**2 + 3/2*c**3 = 0.
-8, -2, 19
Let u(b) be the first derivative of -b**4/22 + 26*b**3/33 + 3*b**2 - 90*b/11 + 444. Factor u(k).
-2*(k - 15)*(k - 1)*(k + 3)/11
Let n(x) = -15*x**3 - 1092*x**2 + 1041*x + 2178. Let f(a) = 28*a**3 + 2183*a**2 - 2091*a - 4356. Let t(o) = -6*f(o) - 11*n(o). Factor t(j).
-3*(j - 2)*(j + 1)*(j + 363)
Let t = -647329/2 + 323666. Factor t*b - 1/6*b**2 - 10/3.
-(b - 5)*(b - 4)/6
Let b(w) be the first derivative of -14*w**3/15 - 109*w**2/5 - 704*w/5 + 2226. Factor b(z).
-2*(z + 11)*(7*z + 32)/5
Let a be ((-6)/144*2)/(-1*(-14)/(-966)). Factor 1/4*v**2 + 6*v + a.
(v + 1)*(v + 23)/4
Factor 2/15*n**3 + 206/5*n**2 - 1232/15 + 204/5*n.
2*(n - 1)*(n + 2)*(n + 308)/15
Let g(l) be the second derivative of 17*l**7/84 - 7*l**6/15 - 3*l**5/10 + l - 1176. Suppose g(f) = 0. Calculate f.
-6/17, 0, 2
Let k(u) = 15*u**2 - 17*u + 8. Let r(x) = 6*x**3 + 15*x**2 - 15*x + 6. Let c(f) = 3*k(f) - 4*r(f). Factor c(h).
-3*h*(h + 1)*(8*h - 3)
Let l(a) be the second derivative of -49*a**7/24 + 1862*a**6/15 - 141631*a**5/80 - 72003*a**4/8 - 32499*a**3/2 - 14283*a**2 + 719*a. Let l(g) = 0. Calculate g.
-6/7, 23
Suppose 28 = -4*c, 35 = 3*f - 6*f - 5*c. Let o(g) be the second derivative of 0 + 0*g**4 - 1/4*g**5 + f*g**2 + 28*g + 10/3*g**3. Suppose o(a) = 0. What is a?
-2, 0, 2
Let o(k) = -3*k**2 + 302*k - 7498. Let u = 458 - 449. Let q(x) = 12*x**2 - 1209*x + 29991. Let n(v) = u*o(v) + 2*q(v). Let n(m) = 0. What is m?
50
Let t(o) be the first derivative of -2*o**5/45 + 35*o**4/3 - 21194*o**3/27 - 14980*o**2/3 - 91592*o/9 - 4102. Factor t(s).
-2*(s - 107)**2*(s + 2)**2/9
Let a(r) be the second derivative of -1/70*r**5 - 32/7*r**2 + 16/21*r**4 + 12*r + 3 + 1/21*r**3. Suppose a(l) = 0. Calculate l.
-1, 1, 32
Determine j, given that -15*j**4 - 735*j + 1953/5*j**2 - 33*j**3 + 2058/5 = 0.
-7, 7/5, 2
Let d be 6/(-4) + -2*(-125)/20. Let r(s) be the third derivative of d*s**2 + 0*s - 1/6*s**4 + 0 - 1/120*s**5 - 4/3*s**3. Solve r(o) = 0.
-4
Let d(y) be the first derivative of -558 + 552 - 8*y**3 + 16*y**2 + 2*y**2 + y**4. Factor d(l).
4*l*(l - 3)**2
Suppose 2*v - 263 = 3*n, 2*n = -n + 4*v - 271. Let h be n/(-25) - (-3)/5. Solve -36*w**2 - 5*w**3 + 29*w**3 - 4*w**h + 0*w**4 = 0.
0, 3
Let h(k) = k**2 + k - 2. Let q(m) = m**2 + 9*m - 6. Suppose 5*v = -3*a + 1 - 3, -2*v + 4 = 2*a. Let z(t) = a*h(t) - 2*q(t). Determine o, given that z(o) = 0.
0, 3
Factor 420/13*t - 418/13 - 2/13*t**2.
-2*(t - 209)*(t - 1)/13
Let s(r) be the first derivative of -r**4/16 - 11*r**3/6 + 101*r**2/8 - 39*r/2 + 582. Suppose s(n) = 0. What is n?
-26, 1, 3
Factor 33780 - q**4 + 20*q - 33780 - 16*q**3 - 172*q - 48*q + 217*q**2.
-q*(q - 8)*(q - 1)*(q + 25)
What is a in -11/3*a**2 - 65/6*a**3 + 0 + 2/3*a**4 + 2783/6*a = 0?
-23/4, 0, 11
Suppose -1920 = 15*m - 19*m. Suppose 0 = -3*o + m - 468. Factor -8/5*h**3 + 4/5 - 4/5*h**o + 8/5*h + 0*h**2.
-4*(h - 1)*(h + 1)**3/5
Suppose -164 = -2*w - w + 4*t, 6*t = -4*w + 230. Factor 64/3 + 164/3*m**2 + 74/3*m**3 + 5*m**4 + w*m + 1/3*m**5.
(m + 1)*(m + 2)**3*(m + 8)/3
Suppose 51*m = 251 - 98. Let l(i) be the third derivative of 0*i + 1/2*i**4 + 0 + 7/3*i**m - 1/30*i**5 - 18*i**2. Suppose l(f) = 0. Calculate f.
-1, 7
Let f be (-4180)/8316 + (-4)/(-54). Let s = f - -47/77. Suppose -2/11*w**2 + 0*w - s*w**5 + 2/11*w**4 + 0 + 2/11*w**3 = 0. Calculate w.
-1, 0, 1
Suppose -8*i + 10*i - 2 = -3*h, -4*h = -4*i - 36. Factor 28*x**4 - 12*x**4 + 0*x**3 - h*x**3 + 28*x**3 - 12*x**4 - 64*x**2.
4*x**2*(x - 2)*(x + 8)
Let z be -8 - -24 - (1 - -11). Let a(n) be the third derivative of -1/72*n**5 + 9*n**2 + 0*n - 5/72*n**z + 0 + 1/144*n**6 + 0*n**3. Suppose a(g) = 0. What is g?
-1, 0, 2
Let m(c) be the second derivative of -5*c**7/42 - 13*c**6/6 + 7*c**5/2 + 1811*c. Factor m(w).
-5*w**3*(w - 1)*(w + 14)
Let t(r) be the first derivative of -1/108*r**4 - 1/135*r**