 8028 + -8024. Suppose 0*y**2 + 0*y - 2/7*y**v + 2/7*y**3 + 0 = 0. What is y?
0, 1
Suppose 4792 = -4*m - 4*l, 4*m - l + 4792 = 3*l. Let g = 6026/5 + m. Factor 24/5 + 18/5*k**2 + g*k + 3/5*k**3.
3*(k + 2)**3/5
Suppose 3*q = 22 - 10. What is k in -7*k**2 - 2 + 5 + 9*k**2 - k**2 - q*k = 0?
1, 3
Let k = 9299 + -83683/9. Let 2/9*w - 2/9*w**3 - 8/9*w**2 + 0 + k*w**4 = 0. What is w?
-1, 0, 1/4, 1
Suppose 4*d = -4*p + 4, 6*p + d = 3*p + 7. Factor -79 - p*h**2 - 25 - 21*h + 87*h - 259.
-3*(h - 11)**2
Let a(j) be the third derivative of 0*j + 0 + 0*j**3 + 16*j**2 - 1/60*j**6 + 0*j**4 + 1/30*j**5. Let a(z) = 0. Calculate z.
0, 1
Let u(a) = 24*a**5 + 10*a**4 - 16*a**3 + 18*a**2 + 34*a + 14. Let j(b) = -5*b**5 - 2*b**4 + 3*b**3 - 4*b**2 - 7*b - 3. Let y(p) = 14*j(p) + 3*u(p). Factor y(r).
2*r*(r - 1)**2*(r + 1)*(r + 2)
Let h = 12 + -10. Suppose 5*t = 4*g - 1 + 4, 2*t + 2*g - 12 = 0. Suppose -2*z - 2*z**h + 2*z**5 + 4*z**4 - 5*z**2 + t*z**2 = 0. Calculate z.
-1, 0, 1
Let w(d) be the second derivative of -32*d**7/21 + 272*d**6/5 - 2497*d**5/5 - 442*d**4 - 338*d**3/3 - 16*d + 3. Factor w(t).
-4*t*(t - 13)**2*(4*t + 1)**2
Let c(q) be the first derivative of q**3 + 252*q**2 + 21168*q + 365. Factor c(r).
3*(r + 84)**2
Let s(o) be the first derivative of -o**5/15 + 19*o**4/6 - 143*o**3/3 + 646*o**2/3 - 1156*o/3 + 98. Find p, given that s(p) = 0.
2, 17
Let d(g) = g**3 - 4*g**2 - 3*g + 16. Let m be d(4). Factor -12*a - 10*a - 292*a**2 - 21*a**3 + 7*a + 3 + 6*a**m + 319*a**2.
3*(a - 1)**3*(2*a - 1)
Let i(p) be the second derivative of -5*p**6/2 + 31*p**5/2 - 65*p**4/3 + 5*p**3/3 + 15*p**2/2 + 275*p. Determine t so that i(t) = 0.
-1/5, 1/3, 1, 3
Let o = -2917/198 + 170/11. Let k(f) be the first derivative of 2/5*f**5 + o*f**4 + 10/27*f**3 + 12 - 1/3*f**2 - 4/9*f + 2/27*f**6. Suppose k(q) = 0. What is q?
-2, -1, 1/2
Let h be (-14)/(-63) + (-48)/(-27). Factor -11*i + 3*i**h - 48 + i - 4*i**2 + 23.
-(i + 5)**2
Suppose -a + 10 = 2*i, a - 22 = -2*a - 2*i. Suppose a*j = j + 20. Let -4*u**j - 3*u + 3*u**3 + 2 + 3*u**2 - 2 + u**4 = 0. Calculate u.
-1, 0, 1
Let y(v) be the first derivative of -3*v**5/35 - 9*v**4/14 - 3*v**3/7 + 15*v**2/7 - 54. Factor y(a).
-3*a*(a - 1)*(a + 2)*(a + 5)/7
Let p(r) = 14*r**2 + 35*r + 64. Let x(j) = 22*j**2 + 52*j + 96. Let h(n) = -8*p(n) + 5*x(n). Factor h(t).
-2*(t + 2)*(t + 8)
Let h(z) be the second derivative of z**7/168 - z**6/120 - z**5/80 + z**4/48 + 4*z - 7. Factor h(m).
m**2*(m - 1)**2*(m + 1)/4
Let a be 391/(-69)*(-6)/51. Find o, given that a*o**2 - 4 - 2/3*o = 0.
-2, 3
Let a = 6 + -3. Suppose -2*r = 5*q + 15 - a, -5*q - 8 = 3*r. Find i such that 6*i + 6 - 3*i**3 + 3/2*i**r - 9/2*i**2 = 0.
-1, 2
Let j(s) be the first derivative of 5*s**3 - 8 + 12*s**4 + 27/5*s**5 + 0*s - 3*s**2. Let j(l) = 0. What is l?
-1, 0, 2/9
Let k(p) be the first derivative of 16/3*p**2 + 2/3*p**4 - 1/15*p**5 - 8/3*p**3 + 16 - 16/3*p. Factor k(c).
-(c - 2)**4/3
Let x(f) = -2082*f + 2081*f - 17 + f**2 + 0*f**2. Let k be x(5). Factor -1/4*y**2 + 1/2*y**4 - 1/4*y**k + 0 + 0*y.
y**2*(y - 1)*(2*y + 1)/4
Let y(t) be the first derivative of 2*t**5/25 + 3*t**4/2 + 18*t**3/5 + 13*t**2/5 + 191. Determine o so that y(o) = 0.
-13, -1, 0
Factor -48/13*q**2 - 64/13*q - 32/13 - 16/13*q**3 - 2/13*q**4.
-2*(q + 2)**4/13
Let i(t) be the second derivative of 3*t**5/20 - 11*t**4/36 - 8*t**3/9 + 2*t**2/3 + 33*t - 3. Factor i(l).
(l - 2)*(l + 1)*(9*l - 2)/3
Let y be (-8)/4*2/(-4). Let i = y + 2. Factor -3*q**3 - 3*q**4 + 3*q**3 - i*q**3.
-3*q**3*(q + 1)
Suppose -5*p = -3*p - 4. Suppose -3*c**3 - 24*c + 16*c**2 + 36 - c**p + 0*c - 24 = 0. What is c?
1, 2
Let o be (175/45 - 4)*-15. Let l(s) be the first derivative of -5/2*s**2 - 8 + 0*s + o*s**3. Suppose l(x) = 0. What is x?
0, 1
Let h = 43/5 - 8. Let b be (1/(-5)*-2)/2. Factor b*v**3 + 2/5*v + 0 - h*v**2.
v*(v - 2)*(v - 1)/5
Let f(r) be the third derivative of r**6/600 + 3*r**5/200 + r**4/20 - 14*r**3/3 - 28*r**2. Let n(h) be the first derivative of f(h). Factor n(y).
3*(y + 1)*(y + 2)/5
Let i(s) be the third derivative of 0 + 0*s + 1/480*s**6 + 0*s**4 - 1/80*s**5 + 1/6*s**3 + 8*s**2. Factor i(x).
(x - 2)**2*(x + 1)/4
Let j(l) be the third derivative of l**7/42 - 5*l**6/24 - 11*l**5/12 + 55*l**4/8 - 15*l**3 + 81*l**2 + 1. Let j(d) = 0. What is d?
-3, 1, 6
Let w(q) be the first derivative of -q**5/10 + 4*q**4/3 - 42*q - 54. Let u(z) be the first derivative of w(z). Solve u(v) = 0.
0, 8
Suppose -5 = -4*r - 21, -2*p + r = -12. Let j(y) be the first derivative of -y**3 + 6 + 3/28*y**p + 45/14*y**2 - 27/7*y. Determine d so that j(d) = 0.
1, 3
Let i = -22987/4 + 5747. Find u such that 0 + i*u**3 + u + u**2 = 0.
-2, 0
Let n(p) = 3*p**3 - 8*p**2 + 59*p - 72. Let a(i) = -i**3 - 3*i**2 - i. Let z(w) = -10*a(w) - 5*n(w). Factor z(t).
-5*(t - 8)*(t - 3)**2
Let b = -43 + 58. Factor -25 - 20*z + 4*z + 5 + b*z**2 - 4*z.
5*(z - 2)*(3*z + 2)
Suppose -19 = -5*h + 2*j, 0 = -4*j - 13 + 5. Determine o, given that 0 - 24/5*o**h - 16/5*o**2 - 12/5*o**4 - 2/5*o**5 + 0*o = 0.
-2, 0
Let 1/3*y + 35/6*y**2 + 33*y**3 + 54*y**4 - 36*y**5 + 0 = 0. What is y?
-1/6, 0, 2
Let c(l) = 2*l**2 + 4*l - 3. Let x = 17 + -19. Let w(d) = 2*d**2 + 4*d - 2. Let o(g) = x*c(g) + 3*w(g). Determine z, given that o(z) = 0.
-2, 0
Let l be (-12)/(-15)*5/6. Let u = 4 + 0. Solve 0*d + 0*d**2 - 2/3*d**5 - l*d**3 + 4/3*d**u + 0 = 0.
0, 1
Let s(f) be the third derivative of f**6/120 + 43*f**5/30 + 220*f**4/3 - 1936*f**3/3 - 57*f**2 - 4. Suppose s(q) = 0. Calculate q.
-44, 2
Factor -2 - 5/2*p**3 + 3/2*p**2 + 5/2*p + 1/2*p**4.
(p - 4)*(p - 1)**2*(p + 1)/2
Let i(w) be the first derivative of w**5/60 - 2*w**4/9 + 7*w**3/6 - 3*w**2 + 17*w + 10. Let b(y) be the first derivative of i(y). Solve b(v) = 0 for v.
2, 3
Let k(u) = -1 - 3*u**2 + 5 - 2*u - 2 + 2*u**2. Let f be k(-2). Factor -2*b**2 - 3*b - 6*b + 3*b + f*b.
-2*b*(b + 2)
Let f(k) be the second derivative of k**4/28 - k**3 + 60*k**2/7 + 52*k + 2. Let f(o) = 0. Calculate o.
4, 10
Let p = 6137/20712 - 4/863. Let b(k) be the third derivative of p*k**4 + 1/210*k**7 - 4*k**2 + 0 + 1/24*k**6 + 1/3*k**3 + 3/20*k**5 + 0*k. Factor b(f).
(f + 1)**3*(f + 2)
Let h(c) be the third derivative of c**7/12600 + c**6/180 + c**5/6 + 49*c**4/24 - 20*c**2. Let b(k) be the second derivative of h(k). Factor b(v).
(v + 10)**2/5
Let i = -63 - -70. Suppose 6*r + i - 19 = 0. Factor 0*y**r + 2/9*y**3 - 2/9*y + 0.
2*y*(y - 1)*(y + 1)/9
Factor -68/3*x**3 - 746/9*x**2 - 392/9 - 952/9*x - 2*x**4.
-2*(x + 1)**2*(3*x + 14)**2/9
Let k(v) = 2*v**2 + 168*v + 3362. Let h(j) = 4*j**2 + 337*j + 6724. Let z(s) = -4*h(s) + 9*k(s). Factor z(b).
2*(b + 41)**2
Factor 88 - 51 - 69*r**2 + 13*r**2 + 4*r**3 + 240*r - 325.
4*(r - 6)**2*(r - 2)
Let f(o) be the third derivative of -1/4*o**3 + 0*o + 1/40*o**7 - 3*o**2 + 1/32*o**4 + 19/160*o**6 + 3/16*o**5 + 0. Solve f(k) = 0.
-1, 2/7
Suppose -14*w = -3*w - 44. Find u such that -4*u**3 - 181*u**4 - 4 + 179*u**4 + w = 0.
-2, 0
Let j(s) = -12*s**2 - s**3 + 46*s**4 - 45*s**4 + s**5 + 4*s**2. Let l(x) = x**5 + x**4 - x**3 - 7*x**2. Let h(r) = -6*j(r) + 7*l(r). Factor h(c).
c**2*(c - 1)*(c + 1)**2
Let w = -13944 + 13944. Factor -3/7*j**3 - 9/7*j + w - 12/7*j**2.
-3*j*(j + 1)*(j + 3)/7
Let f(x) = -2 + 2 - 4*x**3 - 6 - 16*x**2 + 8*x. Let r(n) = -3*n**3 - 15*n**2 + 9*n - 6. Let t(h) = -5*f(h) + 6*r(h). Factor t(p).
2*(p - 3)*(p - 1)**2
Let h(p) be the second derivative of p**5/5 - 4*p**4/3 - 8*p**3/3 + 32*p**2 - 154*p. Solve h(z) = 0 for z.
-2, 2, 4
Let o(h) be the second derivative of 2*h**7/63 + h**6/45 - 7*h**5/15 - 19*h**4/18 - 2*h**3/3 - 42*h. What is n in o(n) = 0?
-2, -1, -1/2, 0, 3
Suppose 152 + 10 = -18*k. Let f be -1 + (-7)/(42/k). Factor 0 + 1/4*n**4 + 0*n - 1/4*n**3 - f*n**2.
n**2*(n - 2)*(n + 1)/4
Let t be 0/(-2)*(11/(33/6))/4. Factor 0*s + 2/9*s**3 + t - 2/9*s**2.
2*s**2*(s - 1)/9
Let j(o) be the first derivative of -o**3/12 - 3*o**2/4 - 5*o/4 + 108. Factor j(u).
-(u + 1)*(u + 5)/4
Let a(m) be the first derivative of -2*m**5/45 - m**4/18 + 2*m**3/9 + 5*m**2/9 + 4*m/9 + 53. Factor a(c).
-2*(c - 2)*(c + 1)**3/9
Let c(v) be the first derivative of -3*v**5/5 - 15*v**4/2 - 23*v**3 - 21*v**2 + 139. Factor c(w).
-3*w*(w + 1)*(w + 2)*(w + 7)
Suppose 0*k + 0 + 54/7*k**2 + 2/7*k**5 + 50/7*k**4 - 106/7*k**3 = 0. Calculate k.
-27, 0, 1
Suppose -25