t -16533*r**3 - 80 - 36*r**4 + 8430*r**3 + 8311*r**3 - 384*r - 60*r**2 = 0.
-1, -2/9, 2, 5
Solve 0 - 1/3*c**5 + 9*c**3 + 10/3*c**4 - 12*c**2 + 0*c = 0.
-3, 0, 1, 12
Factor -122 + 6 + 12*a + 84 + 2*a**2.
2*(a - 2)*(a + 8)
Suppose 120 = 5*r - 5*y, 5*y + 7 - 39 = -3*r. Let x(u) = -u**2 + 21*u - 36. Let c be x(r). Factor -3*p**c - 8*p + 4*p**2 - 10*p - 4*p**2 + 21.
-3*(p - 1)*(p + 7)
Factor 46/9*k**2 - 4/3 + 134/9*k.
2*(k + 3)*(23*k - 2)/9
Let q(m) be the second derivative of -5*m**7/21 + 9*m**6/2 + 17*m**5/4 - 1735*m**4/4 + 2475*m**3/2 - 1215*m**2 + 38*m - 9. Let q(l) = 0. What is l?
-6, 1/2, 1, 9
Suppose -8*h = -28 - 204. Let r be (2/6)/(h/(-30) + 1). Let 2/3*y**4 - 32/3 + r*y**2 + 16/3*y - 16/3*y**3 = 0. Calculate y.
-1, 1, 4
Suppose 0 = -3*p + 2*a + 19, 164*p + 4*a + 11 = 161*p. Determine j, given that 1/2*j**p + 3 + 1/2*j - 2*j**2 = 0.
-1, 2, 3
Suppose 355/7*p**3 + 48/7 + 286/7*p + p**5 + 93/7*p**4 + 507/7*p**2 = 0. What is p?
-8, -3, -1, -2/7
Let p(o) = -8*o - 502. Let r be (-12)/14 - (-4)/56*-870. Let h be p(r). Factor 6/7 + 2/7*m**3 - 2/7*m - 6/7*m**h.
2*(m - 3)*(m - 1)*(m + 1)/7
Let k(u) be the third derivative of -242/3*u**3 + 0*u + 0 - 11/12*u**4 - 1/240*u**5 + 126*u**2. Factor k(o).
-(o + 44)**2/4
Suppose 5*x - 12 - 1 = -4*b, -3*x = -4*b + 5. Factor 4*c**b + 445 + 1485 - 65*c - 166 - 103*c.
4*(c - 21)**2
Suppose 108*n = -5*r + 112*n + 146, 5*r = 2*n + 148. Let p(u) be the third derivative of r*u**2 - 1/120*u**5 + 0*u + 7/12*u**3 - 1/8*u**4 + 0. Factor p(f).
-(f - 1)*(f + 7)/2
Let y be (8 + (-2471)/309)*-4. Let b = y + 2492/1545. Suppose 4/5*l**2 + 0 + b*l = 0. Calculate l.
-2, 0
Let z(u) be the third derivative of u**6/30 - 52*u**5/15 + 49*u**4/2 + 3066*u**2. Determine q so that z(q) = 0.
0, 3, 49
Let m(g) = -8*g + 132. Let r be m(16). Factor -1928*j**4 + 1921*j**r - 2*j + 2*j**3 + 10*j**2 - 3*j**2.
-j*(j - 1)*(j + 1)*(7*j - 2)
Let r(j) be the third derivative of -49*j**2 + 3/14*j**4 - 1/210*j**5 + 0*j + 0 + 0*j**3. Factor r(p).
-2*p*(p - 18)/7
Let j = -598733 + 598761. Solve 784 - j*t + 1/4*t**2 = 0.
56
Let r(w) = 3*w**2 - 5*w + 7. Let g be r(0). Suppose 5*f**2 - 25 - 62 + 30*f + g = 0. Calculate f.
-8, 2
Suppose -2*t + 12 = 2*t. Let r be -2*(-4)/30 + (100/210)/(2550/714). Factor -1/5*u**t + 2/5*u**2 - r + 1/5*u.
-(u - 2)*(u - 1)*(u + 1)/5
Let o(b) = 158*b - 32703. Let k be o(207). Factor 2*p**k + 0 + 0*p - 7/4*p**2 - 1/4*p**4.
-p**2*(p - 7)*(p - 1)/4
Factor 304 - 243 + 243 + 110*y + 5*y**2 + 296.
5*(y + 10)*(y + 12)
Factor -102/5*y**2 + 477*y + 11236/5 + 1/5*y**3.
(y - 53)**2*(y + 4)/5
Let x(v) be the third derivative of 58*v**2 + 1/60*v**5 + 1/336*v**8 - 1/120*v**6 + 0*v**4 + 0*v - 1/210*v**7 + 0*v**3 + 0. Let x(m) = 0. Calculate m.
-1, 0, 1
Let x(q) be the third derivative of -q**6/60 - 2*q**5/15 - 12*q**2 + 10. Factor x(p).
-2*p**2*(p + 4)
Let m(g) be the first derivative of g**6/240 - g**5/16 + 3*g**4/8 - 5*g**3/3 - 4*g + 27. Let n(z) be the third derivative of m(z). Factor n(v).
3*(v - 3)*(v - 2)/2
Let k(x) = -x**2 + x. Let f(g) = -14*g**2 + 239 - 156 + 261 + 174*g. Let l(n) = f(n) - 10*k(n). Factor l(o).
-4*(o - 43)*(o + 2)
Let d(i) = 703*i**2 + 6*i + 3. Let k be d(0). Let -16/7*q + 8/7*q**2 + 4/7*q**k - 32/7 = 0. What is q?
-2, 2
Suppose 10*m = 6*m - s - 1519, 0 = m - 2*s + 382. Let d = 383 + m. What is z in -3/2*z**5 - 24 - 48*z**d - 84*z**2 - 27/2*z**4 - 72*z = 0?
-2, -1
Let u be -8 - 3 - (1/(-2))/(715/15950). Factor 8/13*j + 0 - u*j**3 + 6/13*j**2.
-2*j*(j - 4)*(j + 1)/13
Suppose -7 - 9 = -8*f. Suppose 10*x - 10 - 23*x + 15*x**3 - 10*x**f - 22*x = 0. What is x?
-1, -1/3, 2
Let k(h) be the third derivative of -h**5/60 + 43*h**4/24 - 5389*h**2. Find f, given that k(f) = 0.
0, 43
Let z(b) be the second derivative of 22/3*b**3 + 38 + 2*b + 1/6*b**4 - 48*b**2. Factor z(r).
2*(r - 2)*(r + 24)
Let a(d) be the third derivative of -56*d - d**2 + 0 - 1/630*d**7 - 1/180*d**6 + 1/36*d**4 + 1/180*d**5 + 0*d**3. Factor a(x).
-x*(x - 1)*(x + 1)*(x + 2)/3
Let y(t) be the first derivative of 8*t**6/5 - 1203*t**5/25 + 10443*t**4/20 - 2296*t**3 + 13344*t**2/5 - 1536*t/5 - 173. Let y(s) = 0. Calculate s.
1/16, 1, 8
Suppose -8254*g - 889*g**2 + 7280 - 17236*g + 924*g**2 = 0. What is g?
2/7, 728
Let s(d) be the first derivative of 0*d - 183 + 44/7*d**2 - 4/21*d**3. What is j in s(j) = 0?
0, 22
Suppose 3*t - t + 86 = -3*o, 265 = -5*t + 5*o. Let y = t - -53. Factor 2*i**3 + i**5 - y*i**3 - 33*i + 34*i.
i*(i - 1)**2*(i + 1)**2
Let j(t) be the third derivative of t**7/252 - 11*t**6/144 + t**5/2 - 2*t**4 + 2*t**2 + 102*t. Let m(w) be the second derivative of j(w). Factor m(c).
5*(c - 4)*(2*c - 3)
Suppose -9 = -3*z - a, -5*z + 5 + 3 = 4*a. Suppose 2*w = -3*y + z + 9, y - 1 = 0. Solve -7*r - 6*r**3 + r**w + 8*r**2 - 12*r + 16*r = 0 for r.
-3, 0, 1
Factor -18028*h + 11242*h + 2550*h**2 - 9342*h**2 - 1696 - 8*h**3.
-2*(h + 848)*(2*h + 1)**2
Let x(y) = 13*y**3 - 3*y**2 + 18*y + 8. Let s(z) = -16*z**3 + 2*z**2 - 21*z - 10. Let q(p) = -4*s(p) - 5*x(p). Factor q(u).
-u*(u - 6)*(u - 1)
Let d(i) be the second derivative of -i**7/84 + i**6/6 - 13*i**5/40 - i**4 - 161*i. Let d(y) = 0. Calculate y.
-1, 0, 3, 8
Let m be 10/(18 + (-713)/46). Factor 22/3*j**2 - 1/3*j**m + 5/3*j**3 + 16/3*j + 0.
-j*(j - 8)*(j + 1)*(j + 2)/3
Let v(q) be the second derivative of q**6/15 - 3*q**5/10 - 13*q**4/6 + 5*q**3 - 621*q + 2. Factor v(i).
2*i*(i - 5)*(i - 1)*(i + 3)
Let b(a) be the first derivative of 3*a**5/35 - 12*a**4/7 + 87*a**3/7 - 276*a**2/7 + 48*a - 2432. Factor b(v).
3*(v - 7)*(v - 4)**2*(v - 1)/7
Suppose 3*o + 4*i = 1238, -37*o + 38*o - 4*i = 418. Suppose -406 = 4*h - o. What is k in 0*k + 11/4*k**4 - 3*k**3 + 0 + k**h - 3/4*k**5 = 0?
0, 2/3, 1, 2
Let l(y) be the second derivative of 8*y**2 + 1/60*y**6 + 1/120*y**5 - 1/12*y**4 + 0 - 1/12*y**3 - 2*y. Let d(t) be the first derivative of l(t). Factor d(r).
(r - 1)*(r + 1)*(4*r + 1)/2
Let t(h) be the third derivative of 5*h**5/12 - 565*h**4/24 + 55*h**3 - 1045*h**2. Factor t(b).
5*(b - 22)*(5*b - 3)
Let y = -152411 - -152413. Determine p, given that -56/13*p**4 - 70/13*p - 8/13 - 232/13*p**3 + 32/13*p**5 - 206/13*p**y = 0.
-1, -1/2, -1/4, 4
Let g = 38596 + -385959/10. Let f(v) be the second derivative of -5/12*v**3 + g*v**5 - 4 + 1/15*v**6 + 1/84*v**7 - 1/12*v**4 - 3*v - 1/2*v**2. Factor f(p).
(p - 1)*(p + 1)**3*(p + 2)/2
Let w(z) be the third derivative of z**7/840 - 17*z**6/160 + 33*z**5/80 - 49*z**4/96 - 155*z**2. Let w(k) = 0. Calculate k.
0, 1, 49
Let i(y) = 5*y**3 - 10*y**2 + 17*y - 26. Let l(x) = 7*x**3 - 11*x**2 + 15*x - 30. Let k(m) = 3*i(m) - 2*l(m). Factor k(h).
(h - 3)**2*(h - 2)
Let i be (-2)/((-2)/(-5 - -9)). Suppose 5*j - j - 12*j**4 + 10*j**i + 6*j**2 + 0*j = 0. Calculate j.
-1, 0, 2
Let z(s) be the third derivative of -19/6*s**3 + 1/4*s**4 + 0 + 0*s - 7/40*s**5 - 22*s**2 - 3/40*s**6. Let d(l) be the first derivative of z(l). Factor d(f).
-3*(f + 1)*(9*f - 2)
Let g(s) be the first derivative of 0*s**3 + 0*s - 1/300*s**6 - 4/15*s**4 + 3*s**2 - 4/75*s**5 - 11. Let y(w) be the second derivative of g(w). Factor y(v).
-2*v*(v + 4)**2/5
Let b(d) be the first derivative of -27/2*d**6 + 48*d**2 + 162/5*d**5 + 136*d**3 + 39 + 135*d**4 + 0*d. Find p such that b(p) = 0.
-2/3, 0, 4
Let s(b) be the third derivative of 1/70*b**7 + 0*b**3 - 15/8*b**4 - 67*b**2 + 0*b - 1/40*b**6 + 0 - 17/20*b**5. Let s(z) = 0. Calculate z.
-3, -1, 0, 5
Let f(l) be the third derivative of l**8/1008 + 2*l**7/315 - 7*l**6/90 + 8*l**5/45 + 21*l**2 - 2*l + 168. Factor f(m).
m**2*(m - 2)**2*(m + 8)/3
Let n(l) = -l**3 - 2*l**2 - 6*l - 9. Let c be n(-2). What is z in -10*z**5 + 32*z**3 + 24 - 44*z - 28*z**4 + 8*z**c - 4 + 14*z**5 + 8*z**2 = 0?
-1, 1, 5
Let l = 2402/119 - 4112/357. What is o in 9*o + l + 1/3*o**2 = 0?
-26, -1
Let k = -19 - -21. Let z be 7*(-2)/(-21)*(-9)/(-21). Factor 0*n - z*n**3 + 2/7*n**4 + 0*n**k + 0.
2*n**3*(n - 1)/7
Let z(m) be the first derivative of 5/21*m**6 + 2/7*m**4 - 9/7*m**2 - 4/7*m - 4 + 24/35*m**5 - 20/21*m**3. Solve z(v) = 0 for v.
-1, -2/5, 1
Let m = 194/41 + -254/123. Suppose -14/3*x**2 - m - 1/3*x**5 + 20/3*x - 1/3*x**3 + 4/3*x**4 = 0. Calculate x.
-2, 1, 2
Solve j**5 + 512*j**3 + 650*j + 1318*j - 976 + 76352*j**2 - 77848*j**2 - 69*j**4 = 0.
2, 61
Suppose -12*k + 483 = -513. Solve -2*b**2 - 2*b - 82*b**3 + 3*