*2 - 15*o + 20. Let t(i) = 7*i**3 - 17*i**2 - 7*i + 11. Let x(r) = 5*t(r) - 2*w(r). Factor x(v).
5*(v - 3)*(v - 1)*(v + 1)
Suppose 33*m - 36*m + 2*l + 14 = 0, -2*m = -2*l - 12. Factor 8/9*t**m + 4/9 + 2/9*t**3 + 10/9*t.
2*(t + 1)**2*(t + 2)/9
Let j(t) be the second derivative of t**6/75 - 7*t**5/50 + 13*t**4/30 + t**3/5 - 18*t**2/5 + 67*t. Solve j(o) = 0 for o.
-1, 2, 3
Let d(x) be the first derivative of -9/14*x**2 - 8/7*x - 1/21*x**3 + 24. Factor d(q).
-(q + 1)*(q + 8)/7
Let l(q) be the second derivative of -q**4/32 - q**3/8 + 9*q**2/16 - 3*q + 4. Factor l(j).
-3*(j - 1)*(j + 3)/8
Let s(v) be the second derivative of -18*v - 1/42*v**4 + 2/21*v**3 - 1/35*v**5 + 0 + 0*v**2 + 1/105*v**6. Find j such that s(j) = 0.
-1, 0, 1, 2
Let z(t) be the first derivative of -t**5/5 + t**4 + 7*t**3/3 - 5*t**2 - 86. Factor z(b).
-b*(b - 5)*(b - 1)*(b + 2)
Suppose -1 = 4*g - 5. Suppose -m + g + 2 = 0. Factor -m*t**2 + 2*t**2 + 0*t**2.
-t**2
Find m such that 2*m**3 + 6/5*m**2 + 0 + 2/5*m**4 + 0*m - 2/5*m**5 = 0.
-1, 0, 3
Let m(c) be the third derivative of -c**6/40 - 11*c**5/5 - 85*c**4/8 - 21*c**3 - 94*c**2. Factor m(g).
-3*(g + 1)**2*(g + 42)
Let i(f) be the first derivative of f**7/70 - f**6/40 - f**5/20 + f**4/8 + 9*f**2/2 + 15. Let k(s) be the second derivative of i(s). What is p in k(p) = 0?
-1, 0, 1
Let m(l) be the first derivative of -2*l**3/9 - 7*l**2 - 26. Let m(z) = 0. Calculate z.
-21, 0
Let m(l) be the second derivative of 0*l**2 + 1/24*l**3 + 1/120*l**6 + 1/16*l**4 + 0 + 3/80*l**5 - 26*l. Find i such that m(i) = 0.
-1, 0
Find x such that -80/7*x + 4/7*x**2 + 0 = 0.
0, 20
Let a = 40903/6 - 6693. Let o = a - 124. Let 5/6*c**2 - o*c - 2/3*c**3 + 0 = 0. What is c?
0, 1/4, 1
Find n, given that -2/7*n**2 + 230/7 - 36/7*n = 0.
-23, 5
Suppose -3*k + 14 = -5*u, 3*u + 18 = -10*k + 15*k. Let n(y) be the first derivative of 1/15*y**k - 11 + 1/10*y**2 + 0*y. Suppose n(z) = 0. Calculate z.
-1, 0
Let s = 7/3120 - -3/208. Let f(i) be the third derivative of -1/24*i**4 + 0*i**3 + 0 + 2*i**2 + 7/120*i**5 + 0*i - s*i**7 + 1/120*i**6. Factor f(c).
-c*(c - 1)*(c + 1)*(7*c - 2)/2
Suppose 16 = 4*h + 2*x, 2*h - 1 - 1 = -4*x. Suppose 13*v + 2*v**2 + v**2 - v**h - v**3 - 5*v**4 - 11*v + 2*v**4 = 0. Calculate v.
-2, -1, 0, 1
Let o(b) be the first derivative of -b**5/30 - b**4/2 - 5*b**3/3 + 41*b**2/2 + 19. Let z(n) be the second derivative of o(n). Factor z(t).
-2*(t + 1)*(t + 5)
Let v(u) be the second derivative of 0*u**2 + 3/50*u**5 + 0*u**3 + 1/105*u**7 - 1/30*u**4 - u + 0 - 1/25*u**6. Let v(x) = 0. What is x?
0, 1
Let v(k) be the first derivative of k**3 - 3/2*k**2 + 0*k - k**6 + 5 - 3/5*k**5 + 9/4*k**4. Let v(d) = 0. Calculate d.
-1, 0, 1/2, 1
Let p be (7*2)/((-3)/(-3)). Determine v, given that -p - 9*v - 6 + 5*v**2 - 6*v + 0*v = 0.
-1, 4
Factor 135*r + 51/5*r**2 + 125 + 1/5*r**3.
(r + 1)*(r + 25)**2/5
Factor -2/3*p**2 + 32/3 + 0*p.
-2*(p - 4)*(p + 4)/3
Let n be 7/2 + (-21)/42. Factor 152*j**4 - 5*j**5 + j**n - 162*j**4 - j**3.
-5*j**4*(j + 2)
Let x(v) be the third derivative of -1/7*v**3 + 0*v + 19/168*v**4 - 15*v**2 - 2/105*v**5 + 0 - 1/168*v**6. Factor x(u).
-(u - 1)*(u + 3)*(5*u - 2)/7
Suppose 0*o = -o + 5. Let -o*j**2 - 24*j - 18*j**3 + 16*j**4 + 41*j**2 - 13*j**4 = 0. Calculate j.
0, 2
Suppose 273*h + 110*h = 745 + 21. Factor 0*d + 20/13*d**3 - 6/13*d**h + 0 - 16/13*d**4.
-2*d**2*(2*d - 1)*(4*d - 3)/13
Find r, given that 150/11*r**2 - 2/11*r**4 + 80/11 + 196/11*r + 32/11*r**3 = 0.
-2, -1, 20
Let b(a) be the second derivative of -a**5/5 + a**4/4 + a**2/2 - 134*a. Let i(q) = -q + 2 + q + q + 8*q**2 - 11*q**3. Let r(d) = 8*b(d) - 3*i(d). Factor r(n).
(n - 1)**2*(n + 2)
Factor -61 + 55*z - 5*z**2 - 20 - 9.
-5*(z - 9)*(z - 2)
Let l(m) be the first derivative of 3*m**4/4 + 30*m**3 - 189*m**2/2 + 96*m - 143. Factor l(i).
3*(i - 1)**2*(i + 32)
Let a(v) be the third derivative of -v**7/210 - v**6/60 + v**5/60 + v**4/12 - 86*v**2. Factor a(d).
-d*(d - 1)*(d + 1)*(d + 2)
Factor 4/7*j**3 + 0*j + 0 - 12/7*j**2 + 13/7*j**4 + 4/7*j**5.
j**2*(j + 2)**2*(4*j - 3)/7
Let v(y) = -14*y. Let o be v(-11). Find r such that 2*r - 153*r**2 - 2*r + o*r**2 = 0.
0
Let f(s) = -5*s - 7. Let w be f(-4). Factor w + 13 - 5*i**2 + 4 + 5*i.
-5*(i - 3)*(i + 2)
Let p(r) be the second derivative of r**6/720 - r**5/80 - r**4/12 + r**3/2 - 10*r. Let d(k) be the second derivative of p(k). Suppose d(h) = 0. Calculate h.
-1, 4
Let p(r) be the second derivative of r**7/63 + 4*r**6/63 - r**5/70 + 11*r + 3. Factor p(u).
2*u**3*(u + 3)*(7*u - 1)/21
Let r = -627 + 3141/5. Factor r*f**2 - 1/5*f**4 + 1/5*f**3 - 4/5*f - 8/5.
-(f - 2)**2*(f + 1)*(f + 2)/5
Let o = 17 + 3. Let v = 22 - o. Factor 4*w**3 - 9*w**2 + 12*w + 4 + 5*w**v - 16*w**3.
-4*(w - 1)*(w + 1)*(3*w + 1)
Let t(u) = -16*u**2 + 78*u + 13. Let p be t(5). Factor -4/5*a**2 + 1/5*a**p - 2/5 + a.
(a - 2)*(a - 1)**2/5
Let h(y) = -3*y**2 - y + 4. Let w(d) = 10*d**2 + 3*d - 13. Let n = -32 - -53. Let a(p) = n*h(p) + 6*w(p). Factor a(c).
-3*(c - 1)*(c + 2)
Let x = -33 - -37. Let d be ((-64)/(-20) - x) + 1. Factor -1/5*n - 1/5*n**2 + 1/5 + d*n**3.
(n - 1)**2*(n + 1)/5
Let x(g) be the first derivative of -6*g**3 + 61*g**2 + 28*g + 277. Factor x(l).
-2*(l - 7)*(9*l + 2)
Let v(p) be the first derivative of -p**6/120 + 7*p**4/24 + p**3 + 11*p**2 + 38. Let k(t) be the second derivative of v(t). Factor k(d).
-(d - 3)*(d + 1)*(d + 2)
Let v(x) be the second derivative of x**4/60 + x**3/15 - x + 3. Determine d so that v(d) = 0.
-2, 0
Let s = -903 - -4518/5. Find x, given that 0 - 3/5*x + s*x**2 = 0.
0, 1
Let l = 263 + -263. Let y(t) be the third derivative of l*t**3 + 1/20*t**5 - 1/8*t**4 - 2*t**2 + 0 + 0*t. Factor y(g).
3*g*(g - 1)
Let x(y) be the second derivative of y**4/42 - 2*y**3/7 + 8*y**2/7 - 90*y. Determine v, given that x(v) = 0.
2, 4
Let o(v) be the second derivative of 0 + 0*v**2 - 31*v - 1/10*v**6 + 1/4*v**4 + v**3 - 3/10*v**5. Suppose o(d) = 0. What is d?
-2, -1, 0, 1
Let j be 142/26 + -2 + (-138)/299. Factor 2/11*x**2 - 4/11*x**j + 0*x + 2/11*x**4 + 0.
2*x**2*(x - 1)**2/11
Suppose 8*f - 17*f + 30987 = 0. Suppose 12*k**4 + 3443*k + 16*k**3 - f*k + 4*k**2 = 0. What is k?
-1, -1/3, 0
Factor -63/4*n**2 + 1023/4*n - 961/4 + 1/4*n**3.
(n - 31)**2*(n - 1)/4
Let s(f) = 8*f**3 + 12*f**2 + 4*f + 4. Let q = -35 - -31. Let c(i) = 23*i**3 + 36*i**2 + 13*i + 11. Let z(v) = q*c(v) + 11*s(v). Factor z(m).
-4*m*(m + 1)*(m + 2)
Suppose 0 = 10*c - 8 - 12. Let c + b**5 + 2*b**4 - 2*b**3 + 8*b**2 - 5*b - 2*b + 0*b**4 - 4*b**4 = 0. Calculate b.
-2, 1
Solve 11/3*z**2 + 1/3*z**3 + 19/3*z + 3 = 0 for z.
-9, -1
Let v(c) = 10*c**2 - 475*c - 4200. Let j(t) = -t**2 + 43*t + 382. Let m(o) = -45*j(o) - 4*v(o). Find a, given that m(a) = 0.
-6, 13
Suppose -400*t - 13266*t**2 + 300763/4*t**4 - 4 - 143648*t**3 = 0. Calculate t.
-2/67, 2
Let d(z) = 120*z**2 + 1135*z - 1385. Let j(h) = 11*h**2 + 103*h - 126. Let m(t) = -6*d(t) + 65*j(t). Factor m(p).
-5*(p - 1)*(p + 24)
Let a(t) = -10*t**3 - 124*t**2 - 896*t + 1027. Let s(l) = 12*l**3 + 124*l**2 + 896*l - 1028. Let h(b) = 4*a(b) + 3*s(b). Factor h(y).
-4*(y - 1)*(y + 16)**2
What is u in 0*u - 2/13 + 2/13*u**2 = 0?
-1, 1
Let g(n) be the first derivative of -3*n**5/5 + 6*n**4 - 23*n**3 + 42*n**2 - 36*n + 38. Factor g(q).
-3*(q - 3)*(q - 2)**2*(q - 1)
Let h(w) = 4*w**2 + 12*w + 8. Let i(c) = 4*c**2 + 12*c + 8. Suppose 9*s - 6 + 24 = 0. Let y(g) = s*i(g) + 3*h(g). Factor y(v).
4*(v + 1)*(v + 2)
Suppose -2*q = 3*p - 4*q - 6466, 0 = -4*p + 4*q + 8620. Let r = 28046/13 - p. Determine k so that -12/13*k + 2/13*k**2 + r = 0.
3
Let y(a) be the second derivative of 2/165*a**6 - 1/33*a**4 + 0*a**2 + 0 + 1/231*a**7 - 1/33*a**3 + 12*a + 0*a**5. Find b such that y(b) = 0.
-1, 0, 1
Let o(y) be the second derivative of 18*y + 0 + 0*y**2 + 5/16*y**4 + 3/4*y**3. Determine k so that o(k) = 0.
-6/5, 0
Let h(u) = 4*u**2 + 4*u + 6. Suppose -6*b - 56 + 20 = 0. Let i(m) = -9*m**2 - 7*m - 11. Let z(q) = b*i(q) - 13*h(q). Solve z(l) = 0.
-1, 6
Suppose 5 = 3*p - 4*v + 3*v, -3*v + 24 = 4*p. Let j(o) be the second derivative of 0*o**4 + 0 + o**p - 1/10*o**5 + 2*o**2 + 3*o. Solve j(f) = 0 for f.
-1, 2
Let i(g) be the first derivative of 16*g**3/3 + 18*g**2 + 8*g - 37. Determine a so that i(a) = 0.
-2, -1/4
Let f(r) be the second derivative of r**4/20 + 2*r**3/5 + 9*r**