i + 64 + 53*i**2 - 27*i**2 = 0.
-16, -2/3
Let j(n) = -n**3 + n**2. Let s(g) be the second derivative of 7*g**5/20 + 5*g**4/12 + g**3 + 7*g. Let p(b) = 4*j(b) + s(b). Solve p(c) = 0 for c.
-2, -1, 0
Let y(v) = -9*v**3 - 53*v**2 + 27*v - 2. Let u(q) = q**3 - q**2 + q + 1. Let t(f) = -3*u(f) + y(f). Let n(r) be the first derivative of t(r). Factor n(k).
-4*(k + 3)*(9*k - 2)
Let y = -4 - -11. Suppose -y*g + 6 = -5*g. Find i such that 76*i**3 + 70*i**2 + 210*i**4 + 135*i**g + 25*i**5 + 90*i**2 + 269*i**3 = 0.
-4, -2/5, 0
Let i(v) = 201*v - 3819. Let q be i(19). Let 1/9*l**2 - 2/9*l**3 + q - 1/3*l**4 + 0*l = 0. Calculate l.
-1, 0, 1/3
Suppose -l = 5*y - 97, l = 3*l + y - 185. Let k**2 + l*k - 97*k - 2*k**2 = 0. What is k?
-5, 0
Let n be 21/24 - 189/216. Determine m, given that 1/12*m**4 - 1/6*m + 0 + n*m**3 - 1/4*m**2 = 0.
-1, 0, 2
Let t(u) be the second derivative of u**4/28 + 4*u**3/7 - 30*u**2/7 + 38*u. Factor t(p).
3*(p - 2)*(p + 10)/7
Let u(c) be the third derivative of 1/70*c**5 - 1/56*c**4 + 0*c**3 - 1/280*c**6 + 0 - 28*c**2 + 0*c. Factor u(m).
-3*m*(m - 1)**2/7
Factor -32/5*j + 32/5*j**3 + 0 + 1/5*j**4 - 1/5*j**2.
j*(j - 1)*(j + 1)*(j + 32)/5
Suppose -5*p = -2*t - 12, -108 = -5*t - 88. Factor -10*d**3 + 25/2*d**2 - 5*d + 0 + 5/2*d**p.
5*d*(d - 2)*(d - 1)**2/2
Let u(w) be the second derivative of -w**5/4 - 95*w**4/12 - 200*w**3/3 + 250*w**2 - 2*w + 6. Determine l, given that u(l) = 0.
-10, 1
Let r(p) be the third derivative of p**8/13440 + p**7/336 + 5*p**6/96 + 11*p**5/20 + p**2 + 14. Let d(h) be the third derivative of r(h). Factor d(b).
3*(b + 5)**2/2
Let l(a) be the third derivative of -a**9/68040 + a**8/30240 + a**7/5670 + 15*a**4/8 + 21*a**2. Let b(q) be the second derivative of l(q). Factor b(o).
-2*o**2*(o - 2)*(o + 1)/9
Factor 1/9*r**2 - 28/9*r + 3.
(r - 27)*(r - 1)/9
Let z(f) be the first derivative of f**6/360 + f**5/60 - f**4/72 - f**3/6 - 16*f**2 + 20. Let w(d) be the second derivative of z(d). Let w(i) = 0. Calculate i.
-3, -1, 1
Find l such that 160*l**4 + 163*l**4 - 3*l**5 - 24*l**3 - 305*l**4 = 0.
0, 2, 4
Let k(a) be the first derivative of -a**3/9 - 7*a**2/3 + 5*a - 77. Factor k(w).
-(w - 1)*(w + 15)/3
Let u(c) be the third derivative of 3*c**2 + 0*c - 7/180*c**6 + 1/2*c**3 - 31/48*c**4 + 113/360*c**5 + 0. Factor u(w).
-(w - 3)*(4*w - 3)*(7*w - 2)/6
Let f be 63/10*((-10450)/(-132))/95. Suppose f*q**2 + 3/2*q + 0 - 3*q**3 = 0. Calculate q.
-1/4, 0, 2
Let v = 28 + -14. Suppose 0 = -3*f - 5 + v. Suppose r**2 + 0*r**2 - 2*r**2 + 1 - r + r**f = 0. Calculate r.
-1, 1
Factor 9*f**2 + 45*f + 35*f**2 - 2*f**3 - 145*f - 576 - 92*f.
-2*(f - 12)**2*(f + 2)
Suppose 0 = 30*a - 7*a - 92. Let w(n) be the second derivative of 0 + 8*n**2 - 1/3*n**a - 2*n**3 + 8*n. Solve w(u) = 0 for u.
-4, 1
Find c, given that -68/9*c**3 - 50/9 - 2/9*c**5 + 22/9*c**4 + 28/9*c**2 + 70/9*c = 0.
-1, 1, 5
Let b be (2 - 0/5) + 2. Let c be 4 + 0 + b + -8 + 3. Solve -1/8*h**c + 1/8*h - 3/8*h**4 + 0 + 3/8*h**2 = 0.
-1, -1/3, 0, 1
Let z be (-2 - 16/(-6)) + 3/(36/(-5)). Find f such that z + 1/4*f**2 - 1/2*f = 0.
1
Suppose 8 = 4*w - 0*w. Factor -6*x**w + 8*x + 14*x + 18*x - 8*x**3 - x**4 - 25.
-(x - 1)**2*(x + 5)**2
Let a = 1/77 - -111/77. Factor -2/11*j**3 - 24/11 + 2/11*j**2 + a*j.
-2*(j - 2)**2*(j + 3)/11
Let a(f) = -9*f + 2. Let y be a(2). Let s be ((72/(-14))/6)/(y/14). Find r such that 7/4*r**3 + s*r + 3*r**2 - 1/2 = 0.
-1, 2/7
Factor -21/8*d**3 - 3*d + 45/4*d**2 + 0.
-3*d*(d - 4)*(7*d - 2)/8
Let y(f) = -f**2. Let q(a) = -2*a**3 + 4*a**2 + 20*a. Let m(h) = q(h) - 2*y(h). Find v such that m(v) = 0.
-2, 0, 5
Let f = 38/93 + 8290/651. Factor 50/7 + f*w**2 + 24/7*w**3 + 120/7*w + 2/7*w**4.
2*(w + 1)**2*(w + 5)**2/7
Let f = -55 + 55. Let k(b) be the third derivative of -4*b**2 + 0*b**3 + 1/36*b**4 + f*b + 1/90*b**5 + 0. Factor k(p).
2*p*(p + 1)/3
Let m(u) = 23*u**2 + 36*u - 38. Let k(q) = 8*q**2 + 12*q - 14. Let j(h) = -17*k(h) + 6*m(h). Factor j(y).
2*(y + 1)*(y + 5)
Determine c so that -8/17*c**2 + 4/17 + 2/17*c + 2/17*c**5 + 4/17*c**4 - 4/17*c**3 = 0.
-2, -1, 1
Let p = -2315 - -2317. Solve -2/3*w**p + 4/3*w + 16/9 - 2/9*w**3 = 0 for w.
-4, -1, 2
Let j(o) = -6*o**2 - 3*o**2 + 15*o**3 + 9*o - 15 + 12*o. Suppose 15*q - 28*q - 13 = 0. Let k(x) = x**3 + x - 1. Let s(t) = q*j(t) + 12*k(t). Factor s(n).
-3*(n - 1)**3
Let c(r) be the third derivative of -r**8/840 + 25*r**3/6 + 18*r**2. Let w(h) be the first derivative of c(h). Solve w(k) = 0.
0
Let u(i) be the first derivative of 4*i**5/45 + i**4/6 - 2*i**3/27 - i**2/3 - 2*i/9 - 19. Suppose u(p) = 0. What is p?
-1, -1/2, 1
Let j(p) be the first derivative of -8*p + 6 + 2*p**2 + 4/3*p**3. Solve j(c) = 0.
-2, 1
Let y(r) be the second derivative of r**7/35 + r**6/15 + r**5/30 + 11*r**2/2 + 15*r. Let l(c) be the first derivative of y(c). Factor l(u).
2*u**2*(u + 1)*(3*u + 1)
Let p(n) be the second derivative of -n**5/10 + 7*n**4/30 + 8*n**3/15 - 4*n**2/5 + 224*n. Factor p(x).
-2*(x - 2)*(x + 1)*(5*x - 2)/5
Find c, given that 50*c**3 + 2*c**4 + 2 - 103*c**3 + 55*c**3 - 2 = 0.
-1, 0
Let j(d) be the third derivative of -1/30*d**4 + 0 - 1/1050*d**7 - 1/120*d**6 + 0*d - 9*d**2 - 2/75*d**5 + 0*d**3. Factor j(w).
-w*(w + 1)*(w + 2)**2/5
Let s(p) be the third derivative of p**7/210 + p**6/24 - p**5/60 - 5*p**4/24 + 41*p**2. Solve s(j) = 0 for j.
-5, -1, 0, 1
Let g = 16 + -8. Let o be ((-24)/(-32))/(2/g). Factor 0 - 2*f**o + 2*f + 4 - 4.
-2*f*(f - 1)*(f + 1)
Let n = 4546 - 4542. Factor 20/3*a + 40/3*a**3 + 20/3*a**n + 4/3 + 40/3*a**2 + 4/3*a**5.
4*(a + 1)**5/3
Let n be ((-9)/(-12))/(105/(-45) + 98/24). Suppose 5*m = 3*x + 3 + 6, 2*x = -2*m + 10. Let -3/7*p + 3/7 + n*p**3 - 3/7*p**x = 0. What is p?
-1, 1
Let c = 2759 - 5517/2. Factor -c*f**2 - 1/2 + f.
-(f - 1)**2/2
Let z(k) be the first derivative of -15*k**4/4 - 7*k**3 + 12*k**2 + 12*k - 230. Determine c, given that z(c) = 0.
-2, -2/5, 1
Suppose 24 = a - 4*l, -34 = -3*a + l - 6. Let q be ((a/(-6))/2)/(5/(-3)). Factor -q*j - 4/5 + 2/5*j**2.
2*(j - 2)*(j + 1)/5
Let b = -26 + 38. Let v be (2/(-3))/(9/((-54)/b)). Find g, given that -v*g**3 - 2/3*g + 0 + g**2 = 0.
0, 1, 2
Suppose 5*q - 4 = 21, -15 = -3*r - 3*q. Solve 3/2*d**2 + 0*d - 3/2*d**4 + 3/2*d**3 + r - 3/2*d**5 = 0.
-1, 0, 1
Let r(l) = l**3 + 14*l**2 + 66*l + 70. Let a(g) = 5*g**3 + 70*g**2 + 333*g + 349. Let p(v) = 4*a(v) - 22*r(v). Let p(n) = 0. What is n?
-6, -2
Suppose 0 = r + 3*r - 40. Factor -r*v**2 + 3*v - 12 + v + 22*v**2 - 3*v**3 - v.
-3*(v - 4)*(v - 1)*(v + 1)
Let w(i) = -5 - 2*i**3 + 4*i**3 + 3*i + 2*i**3 - 7*i. Let k(l) = -3*l**3 + 3*l + 4. Let z(m) = -5*k(m) - 4*w(m). Factor z(p).
-p*(p - 1)*(p + 1)
Let u(h) be the second derivative of -h**5/270 + 4*h**3/27 - 13*h**2/2 - 6*h. Let q(z) be the first derivative of u(z). Solve q(v) = 0.
-2, 2
Factor -5/2*l**2 + 5/2*l**4 - 1/2*l**3 + 1/2*l**5 + 0 + 0*l.
l**2*(l - 1)*(l + 1)*(l + 5)/2
Let p(a) be the second derivative of a**7/21 + a**6/15 - a**5/10 - a**4/6 + 49*a. Factor p(z).
2*z**2*(z - 1)*(z + 1)**2
Let g = -15 - -17. Let n(p) be the third derivative of -7/30*p**6 + 0*p**3 + 0*p + 0 - 4/105*p**7 - 3*p**g - 7/15*p**5 - 1/3*p**4. What is k in n(k) = 0?
-2, -1, -1/2, 0
Let q(u) = -u + 16. Let v be q(11). Suppose v*w - 6*w = -4*w. Suppose 13/5*y**2 + w + 2/5*y = 0. What is y?
-2/13, 0
Let b(p) be the first derivative of p**6/300 + p**5/10 + 5*p**4/4 + 25*p**3/3 - 2*p**2 + 11. Let s(f) be the second derivative of b(f). Factor s(a).
2*(a + 5)**3/5
Let p be (6 - 5)*(-1)/76*-16. Factor -6/19*b - p + 10/19*b**2.
2*(b - 1)*(5*b + 2)/19
Let l(a) = -7*a**3 - 16*a**2 + 21*a - 6. Let s(f) = -2*f**3 - f**2 + 1. Let z(h) = -l(h) + 4*s(h). What is v in z(v) = 0?
1, 10
Suppose 8*a - 52 - 28 = 0. Factor a*i - 2*i - 13*i**4 - 12*i**3 + 21*i**4 - 12*i**2.
4*i*(i - 2)*(i + 1)*(2*i - 1)
Let q(r) be the third derivative of -r**5/150 - 3*r**4/20 - 14*r**3/15 - r**2 - 60*r. Solve q(s) = 0 for s.
-7, -2
Let m = -147 - -147. Let u(p) be the first derivative of 3/10*p**2 + 0*p**4 + 6/25*p**5 - 1/10*p**6 + 9 + m*p - 2/5*p**3. Let u(z) = 0. Calculate z.
-1, 0, 1
Factor 3*w - 144*w**2 + 140*w**2 + 4*w**4 - 2*w**3 - 5*w**5 + 4*w**5.
-w*(w - 3)*(w - 1)**2*(w + 1)
Suppose -3*v = -5*l + 10, -4*l = -2*v - 9 + 1. Find f, given that 3*f**l + 34 - f + 31 - 17 + 25*f = 0.
-4
Determine o so that -7*o**5 - 9*o