1*w - 300*w**3 + 285242*w**2 - 288890*w**2 = 0. Calculate w.
-112, -4, 0
Let g(c) = c**2 - 10*c - 4. Let a be g(10). Let v be 88/16 + 6/a. Solve -v*z**2 + 2*z - 2*z = 0.
0
Let r = 130128 - 260255/2. Factor 0 - 1/2*l + r*l**2.
l*(l - 1)/2
Let h = 2610 + -2607. Let c(u) be the first derivative of 13 - 3/4*u**2 + 5/6*u**h - u. Factor c(y).
(y - 1)*(5*y + 2)/2
Solve 42*j**2 + 39*j**2 + 38*j**2 - 118*j**2 - 244*j - 492 = 0.
-2, 246
Suppose -19*k - 5*v = -14*k - 25, 4*v - 12 = 0. What is x in 2/9*x**5 + 2/9*x**k + 0 - 2/3*x**3 + 4/9*x - 2/9*x**4 = 0?
-1, 0, 1, 2
Suppose -71*m = -61*m + 30. Let v be (-111)/(-84) + m/4. Let 0*p + 4/7*p**2 + 4/7*p**5 - v*p**4 - 4/7*p**3 + 0 = 0. What is p?
-1, 0, 1
Let p be ((-14)/77)/((-371)/1166). Solve 0*l**3 + 16/7*l**4 + 4/7*l + 24/7 - p*l**5 - 40/7*l**2 = 0 for l.
-1, 1, 2, 3
Let q(a) be the second derivative of a**7/42 - a**6/10 - 7*a**5/5 + 5*a**4 - 650*a - 2. Factor q(i).
i**2*(i - 6)*(i - 2)*(i + 5)
Find m such that 6/11*m**3 + 0 - 48/11*m**2 + 90/11*m = 0.
0, 3, 5
Let x(h) be the second derivative of -2/7*h**2 - 1/35*h**5 + 0 - 194*h + 2/21*h**3 + 1/21*h**4. Suppose x(p) = 0. What is p?
-1, 1
Let q(p) = 11*p**2 + 15*p + 2. Let d(c) = 11*c**2 + 14*c + 3. Let y(r) = -2*d(r) + 3*q(r). Let t(o) = -o**2 - o. Let v(m) = -18*t(m) - 2*y(m). Factor v(s).
-4*s*(s + 4)
Let n = 48257 + -48255. Find d, given that 6/5*d - 3/5*d**3 + 3/5*d**n + 0 = 0.
-1, 0, 2
Factor -q**3 + 12/5*q**2 - 1/5*q**4 + 16 + 76/5*q.
-(q - 4)*(q + 2)**2*(q + 5)/5
Determine g so that -9 - 25/3*g**2 + 53/3*g - 1/3*g**3 = 0.
-27, 1
Let g(h) be the second derivative of h**5/60 - 11*h**4/36 + 4*h**3/3 + 424*h. Factor g(a).
a*(a - 8)*(a - 3)/3
Factor -526 - 24145*k**2 - 734 + 24148*k**2 + 54*k + 183*k.
3*(k - 5)*(k + 84)
Let v(y) be the first derivative of 1/3*y**3 + 0*y - 1/5*y**5 + 37 - 1/8*y**2 + 1/16*y**4. Factor v(m).
-m*(m - 1)*(m + 1)*(4*m - 1)/4
Suppose 0 = 64*t + 58 - 314. Suppose -21/4*u**2 - 27/2 + 3/4*u**t - 9/4*u**3 + 81/4*u = 0. Calculate u.
-3, 1, 2, 3
Factor 104*r**2 - 22916 - 4*r**4 - 10374 - 96*r**3 + 8160*r + 4390.
-4*(r - 5)**2*(r + 17)**2
Factor 29/3*g - 1/6*g**2 - 841/6.
-(g - 29)**2/6
Let t(d) be the first derivative of 5*d**4/4 + 20*d**3/3 - 25*d**2/2 - 219. Find c, given that t(c) = 0.
-5, 0, 1
Let s(y) be the first derivative of -6 + 2/3*y**3 - 2/3*y**4 - 14*y + 0*y**2 + 1/5*y**5. Let q(j) be the first derivative of s(j). Factor q(a).
4*a*(a - 1)**2
Factor -8*z**4 + 3085*z**2 + 28*z**3 - z**5 - 1494*z**2 - 1511*z**2.
-z**2*(z - 4)*(z + 2)*(z + 10)
Let r(l) be the third derivative of l**6/360 + 13*l**5/180 - l**4/18 - 26*l**3/9 + 2403*l**2. Factor r(d).
(d - 2)*(d + 2)*(d + 13)/3
Factor -1/5*k**4 + 0 - 14/5*k**2 + 8/5*k + 7/5*k**3.
-k*(k - 4)*(k - 2)*(k - 1)/5
Let x(h) be the second derivative of -h**4/3 - 96*h**3 - 2680*h**2 - 2447*h. Solve x(i) = 0 for i.
-134, -10
Let y be 119/2205 - 67/(51590/(-44)). Factor -11/3*g**3 + y*g**5 + g**4 - 4/3*g + 35/9*g**2 + 0.
g*(g - 1)**3*(g + 12)/9
Factor 784/9 - 2/9*l**2 + 98/9*l.
-2*(l - 56)*(l + 7)/9
Suppose 241 + 219 = 74*d + 16. Let w(g) be the first derivative of 4/5*g**5 - 1/2*g**2 + 1/2*g**4 - 8/3*g**3 + 16 + 4*g - 1/6*g**d. Factor w(l).
-(l - 4)*(l - 1)**2*(l + 1)**2
Solve 14/13 - 72/13*n + 66/13*n**2 - 8/13*n**3 = 0.
1/4, 1, 7
Let g(i) be the second derivative of -i**4/16 + 341*i**3/8 - 1017*i**2/4 - 496*i + 1. Factor g(b).
-3*(b - 339)*(b - 2)/4
Let q be ((-6)/(-4 + -8))/(23494/680 + -34). Determine p so that -7/11*p + q*p**2 - 196/11 + 1/11*p**3 = 0.
-7, 4
Let u be 105/90 - (-1593)/1134. Find v such that -20/7 - u*v + 2/7*v**2 = 0.
-1, 10
Let l(o) be the third derivative of -8*o**7/315 - 29*o**6/45 - 107*o**5/60 - 59*o**4/36 - 13*o**3/18 + 2*o**2 + 4. Suppose l(s) = 0. Calculate s.
-13, -1, -1/4
Let t(k) be the second derivative of k**4/12 + 7*k**3/2 + 10*k**2 + k - 33. Suppose t(m) = 0. Calculate m.
-20, -1
Let d(v) be the third derivative of -v**5/15 + 4*v**4/3 + 230*v**3 + 33*v**2 + 51. Suppose d(w) = 0. Calculate w.
-15, 23
Let f(x) = -44*x**2 - 232*x + 276. Let a(q) = -q**2 + 25 - 3*q**2 - 11*q - 10*q. Suppose -j - 57 = 5*o, -5 + 0 = o. Let c(i) = j*a(i) + 3*f(i). Factor c(z).
-4*(z - 1)*(z + 7)
Let j(k) = -15*k**2 + 660*k - 680. Let h(z) = -z**2 + 17*z - 1. Let t(g) = -20*h(g) + j(g). Factor t(n).
5*(n - 2)*(n + 66)
Let v(s) = -9*s**3 + 502*s**2 + 24591*s + 231510. Let n(o) = 6*o**3 - 335*o**2 - 16392*o - 154341. Let c(f) = 7*n(f) + 5*v(f). Suppose c(w) = 0. Calculate w.
-17, 89
Let l(s) be the second derivative of s**5/60 + 175*s**4/12 + 30625*s**3/6 + 5359375*s**2/6 + 2021*s. Suppose l(p) = 0. Calculate p.
-175
Let l(d) be the first derivative of -1/10*d**5 + 2/3*d**4 - 10 + 2*d**2 - 5/3*d**3 - 10*d. Let i(o) be the first derivative of l(o). Factor i(b).
-2*(b - 2)*(b - 1)**2
Let z(r) be the third derivative of -19*r**2 - 2 + 24/7*r**3 + 5/14*r**4 + 0*r - 2/105*r**6 - 13/210*r**5 - 1/735*r**7. Solve z(c) = 0 for c.
-4, -3, 2
Factor 9/7*w**2 + 1/7*w**3 + 18/7*w + 0.
w*(w + 3)*(w + 6)/7
Let x(i) be the second derivative of 0 - 1/2*i**4 - 1/10*i**6 + 0*i**2 + 4*i**3 - 319*i - 3/4*i**5. Factor x(m).
-3*m*(m - 1)*(m + 2)*(m + 4)
Let s(y) be the third derivative of y**5/100 - 6*y**4/5 + 91*y**3/2 + 2*y**2 + 2*y - 1422. Let s(j) = 0. Calculate j.
13, 35
Let q be (-6 + (-60)/36 + 9)*243. Solve q*t**4 + 243*t**5 + 675/4*t**3 + 21/4*t + 171/4*t**2 + 1/4 = 0.
-1/3, -1/6
Factor 2*s**2 - 665*s - 1929*s + 1051250 - 306*s.
2*(s - 725)**2
Let x(p) be the third derivative of -2*p**2 + 1/30*p**5 - 7/4*p**4 + 20/3*p**3 - 12*p + 0. Factor x(i).
2*(i - 20)*(i - 1)
Let a(b) be the second derivative of -2*b**6/15 - 6*b**5/5 + b**4 + 40*b**3/3 + 24*b**2 - 61*b - 12. Factor a(m).
-4*(m - 2)*(m + 1)**2*(m + 6)
Let f = -1170714 + 1170717. Solve -9/5*v**f + 0 + 5*v - 3*v**2 - 1/5*v**4 = 0.
-5, 0, 1
Let w be (-10)/(3 + -5)*1. Suppose w*v = -2*v + 315. Solve 11*n**3 + v*n - 8*n**3 - 50*n**2 + 12*n**3 - 10 = 0 for n.
1/3, 1, 2
Let c(a) be the second derivative of 10*a**7/63 + 5*a**6/6 - 4*a**5/3 - 115*a**4/12 + 5*a**3 + 697*a - 3. Determine q so that c(q) = 0.
-3, 0, 1/4, 2
Suppose 0 = o - 5, 5*s - 456*o = -450*o - 20. Let 58/3*u - 26*u**2 - 4 + 38/3*u**3 - s*u**4 = 0. Calculate u.
1/3, 1, 2, 3
Let r(x) = -x + 8. Suppose -4*n - 2*z = -16, -2*n + z = -15 - 1. Let k be r(n). What is y in 4/3 + 2/3*y - 2/3*y**k = 0?
-1, 2
Suppose 7*g - 1013 = -12. Let m be ((-4)/52)/(6 + g/(-22)). Determine j so that 4/13*j - m*j**2 + 0 - 2/13*j**3 = 0.
-2, 0, 1
Let k(c) be the first derivative of -15 - 8/3*c**3 + 0*c + 2/15*c**6 + 16/5*c**2 - 3/5*c**4 + 16/25*c**5. Solve k(a) = 0 for a.
-4, -2, 0, 1
Let o be (-11)/66 + (-455)/(-1290). Let y = o - -358/387. Determine g, given that 2/9*g**5 - 4/9*g**2 + y*g - 4/3*g**3 + 2/3 - 2/9*g**4 = 0.
-1, 1, 3
Let r(t) = 7*t**4 - 16407*t**3 + 29909929*t**2 - 18175286305*t. Let o(x) = -x**4 + 8*x**2 + x. Let a(s) = -4*o(s) - r(s). Factor a(p).
-3*p*(p - 1823)**3
Let p(q) be the first derivative of -27*q**4/4 + 1150*q**3 - 54912*q**2 - 24576*q - 5444. Factor p(d).
-3*(d - 64)**2*(9*d + 2)
Let x be 154/56*(-432)/(-594). Suppose 6/5 + 3/5*t**x - 3/5*t**3 + 11/5*t - 1/5*t**4 = 0. What is t?
-3, -1, 2
Let w(d) = -1180*d + 17703. Let z be w(15). Suppose 56/9 + 2/3*m**2 + 16/3*m - 2/9*m**z = 0. Calculate m.
-2, 7
Let i be 1/5 - 1998/(-135). Solve i*p**5 - 330*p**3 + 13*p**4 - 8*p**4 - 93 + 795*p + 318 + 250*p**2 = 0 for p.
-5, -1, -1/3, 3
Let t(n) be the third derivative of -n**7/63 + 7*n**6/20 - 47*n**5/30 - 427*n**4/36 + 98*n**3/3 + 3*n**2 - 107*n. Determine c, given that t(c) = 0.
-2, 3/5, 7
Let n(p) be the first derivative of p**7/2100 + 2*p**6/225 + p**5/25 + 109*p**3/3 + p**2/2 - 110. Let u(v) be the third derivative of n(v). Factor u(g).
2*g*(g + 2)*(g + 6)/5
Let t(w) be the first derivative of -208 + 0*w + 8/15*w**3 + 0*w**4 + 0*w**2 - 2/25*w**5. Solve t(b) = 0.
-2, 0, 2
Suppose 6*t = -0*t + 240. Suppose t = j + 9*j. Let -4*b**2 + 27*b**5 + 2*b**3 + 6*b**j - b**2 - 29*b**5 - b**2 = 0. What is b?
-1, 0, 1, 3
Let p(k) be the first derivative of -k**6/480 + k**5/120 + k**4/32 - 41*k**2 - 15. Let z(f) be the second derivative of p(f). Factor z(j).
-j*(j - 3)*(j + 1)/4
Suppose -5*q + 2 = 5*k - 3, 4*q = 5*k + 13. Suppose 5*c - 15 = -5*y, q*c - 5*c - 4*y = -9. Solve g**5 + 6*g**c - 3*g