**5 - 4/15*i**6 + 1/21*i**7 + 0. Solve v(u) = 0.
0, 1
Factor 2/3*a**5 + 8/3*a**4 - 52/3*a**3 + 88/3*a**2 - 62/3*a + 16/3.
2*(a - 1)**4*(a + 8)/3
Let -4564 + 30*p**3 + 448 - 3*p**4 + 5*p**4 + 136*p**2 - 94*p**2 - 1078*p = 0. What is p?
-7, 6
Let b(o) be the first derivative of 0*o**4 + 0*o**2 + 0*o + 2/9*o**3 - 10 - 2/15*o**5. Solve b(z) = 0 for z.
-1, 0, 1
Let k = 670 + -466. Let p = k + -202. Let -1/4*h**4 - 1/4*h + 1/2*h**p - 1/4 + 1/2*h**3 - 1/4*h**5 = 0. Calculate h.
-1, 1
Suppose 0 = 9*s - s - 192. Suppose -5*k = 6*v - v + 5, 3*v = 4*k - s. Determine n, given that -3/2*n**k + 2*n - 5/2*n**2 + 2 = 0.
-2, -2/3, 1
Let w(f) = -5*f**3 - 6*f**2 - f + 14. Let h(k) = -7*k**3 - 5*k**2 + k + 14. Let a(g) = -2*h(g) + 3*w(g). Solve a(c) = 0 for c.
-7, -2, 1
Let s = 679 + -675. Factor 2*u + 0 - 14/3*u**2 + 10/3*u**3 - 2/3*u**s.
-2*u*(u - 3)*(u - 1)**2/3
Let w(n) be the second derivative of 5/12*n**4 - 25/2*n**2 - 10/3*n**3 + 4 - 10*n. Factor w(j).
5*(j - 5)*(j + 1)
Let a be 4 + 0 + ((-14)/1)/7. Determine k so that -1494 + 1494 + 2*k + 2*k**a = 0.
-1, 0
Let u(i) = i + 8. Suppose 0*p = 4*p. Let t be u(p). Factor -12*l**2 + 25*l**4 - 21*l**4 - 20*l + l**3 - t + 3*l**3.
4*(l - 2)*(l + 1)**3
Let i(r) be the third derivative of -r**5/270 + 7*r**4/36 + 67*r**2. Solve i(u) = 0 for u.
0, 21
Suppose -l - 13 = -16. Determine i so that 8/5*i + 8/5 - 2/5*i**l - 2/5*i**2 = 0.
-2, -1, 2
Let u(o) be the third derivative of o**6/60 - 21*o**5/50 - 8*o**4/5 - 28*o**3/15 - 58*o**2 - 2. Factor u(b).
2*(b - 14)*(b + 1)*(5*b + 2)/5
Let g = -8 - -24. Suppose g*c = 19*c. Let 8 - 2*a**2 + 5*a + c*a**2 - a - 2*a**2 = 0. Calculate a.
-1, 2
Let o(l) be the first derivative of 1/35*l**5 + 2/7*l - 5 - 1/7*l**3 + 1/14*l**2 - 1/28*l**4. Factor o(q).
(q - 2)*(q - 1)*(q + 1)**2/7
Let k(j) = j**3 + 101*j**2 - 480*j + 492. Let p(y) = 5*y**3 + 605*y**2 - 2880*y + 2950. Let l(o) = 25*k(o) - 4*p(o). Let l(g) = 0. What is g?
-25, 2
Let 1514085 - 1514085 + 4*a**2 - 4*a**4 + a**5 + 5*a - 6*a**3 = 0. Calculate a.
-1, 0, 1, 5
Suppose 14*z - 21*z = -21. Let -3*g**4 - 6434*g**2 - 6*g**z + 6434*g**2 + 6*g + 3 = 0. What is g?
-1, 1
Let k(t) be the first derivative of 3*t**5/25 - 111*t**4/20 + 321*t**3/5 + 1311*t**2/10 - 2166*t/5 - 269. What is n in k(n) = 0?
-2, 1, 19
Let c(u) be the first derivative of -u - 1/5*u**5 - 10/3*u**3 - 4*u**2 - 4/3*u**4 - 5. Let y(b) be the first derivative of c(b). Factor y(z).
-4*(z + 1)**2*(z + 2)
Let n(v) be the first derivative of v**7/21 + 3*v**6/10 + 7*v**5/30 - v**4/2 + 33*v**2/2 + 29. Let q(z) be the second derivative of n(z). Solve q(j) = 0 for j.
-3, -1, 0, 2/5
Let p be 9 + 13 + -6 + -14. Factor -3/8*i**5 + 0*i + 0 - 3/4*i**3 + 0*i**p + 9/8*i**4.
-3*i**3*(i - 2)*(i - 1)/8
Let d(p) be the first derivative of -p**9/1008 + 3*p**8/560 - 3*p**7/280 + p**6/120 + 2*p**3/3 + 6. Let a(q) be the third derivative of d(q). Factor a(g).
-3*g**2*(g - 1)**3
Let z(w) = -12*w - 25. Let h be z(-11). Let r = h + -213/2. What is s in 0 + 7/4*s**2 + r*s - 7/4*s**4 - 1/2*s**3 = 0?
-1, -2/7, 0, 1
Determine v, given that 0 - 12*v**2 + 9*v**3 - 3/2*v**5 + 0*v**4 + 9/2*v = 0.
-3, 0, 1
Let v(f) = f**3 + 3*f**2 - 5*f - 5. Let d be v(-4). Let s(l) = l**2 - l. Let h be s(d). Factor -3*b**2 + 13*b + 2*b**3 + 7*b**h - 11*b.
2*b*(b + 1)**2
Suppose 595*s = 583*s - 1 + 37. Factor 0 - 2*a**2 + 0*a - 2/3*a**4 - 8/3*a**s.
-2*a**2*(a + 1)*(a + 3)/3
Determine x so that -1490*x**2 + 1674*x**2 - 31*x**3 + 33*x**3 = 0.
-92, 0
Let t be 23 + (-4 - (11 + 6)). Factor 3/4*n + 3/4*n**t - 9/2.
3*(n - 2)*(n + 3)/4
Let q(b) be the second derivative of -b**5/40 - 11*b**4/24 - 35*b**3/12 - 25*b**2/4 + 102*b. Factor q(l).
-(l + 1)*(l + 5)**2/2
Let c(n) = n**2 - 2*n - 4. Suppose 7*t + 9 = 4*t. Let f be c(t). Factor 3*b**3 - 36*b - 14*b**4 - 12 + f*b**4 - 21*b**3 - 39*b**2.
-3*(b + 1)**2*(b + 2)**2
Let x(f) be the second derivative of f**7/14 + 3*f**6/10 + 3*f**5/10 - 2*f + 121. What is r in x(r) = 0?
-2, -1, 0
Let n be (2*(-3)/(-30))/((-36)/(-1)). Let u(t) be the third derivative of -2*t**2 - 1/72*t**4 - n*t**5 + 0*t + 0*t**3 + 0. Factor u(d).
-d*(d + 1)/3
Let f(h) be the third derivative of 2*h**7/15 - h**6/6 - 2*h**5/15 - 12*h**2 - 5. Suppose f(u) = 0. Calculate u.
-2/7, 0, 1
Let g be 369/(-36) + (-2)/(-8). Let b be 4/g + 110/25. Factor 0*o**4 + 6*o**4 - 3*o**b + o**4.
4*o**4
Let j(f) be the third derivative of -16*f**2 + 1/8*f**3 + 1/24*f**4 + 1/240*f**5 + 0 + 0*f. Factor j(n).
(n + 1)*(n + 3)/4
What is u in -38/7*u**3 + 0 + 61/7*u**2 - 5/7*u**4 - 18/7*u = 0?
-9, 0, 2/5, 1
Let p = 19 + -1. Factor 58 - 14*v**2 + 5*v**3 + 4*v**2 - 20*v - p.
5*(v - 2)**2*(v + 2)
Suppose -v + 124 = -2*u, 3*v + 4*u = 8*v - 596. Let h = v + -346/3. Solve -1/3*a**4 - a**3 + h + a - 1/3*a**2 = 0.
-2, -1, 1
Suppose 0 = -5*l - 5*f + 25, -5*l - 6*f + 17 = -5*f. Factor 1/5 + 3/10*k - 3/10*k**l - 1/10*k**2 - 1/10*k**4.
-(k - 1)*(k + 1)**2*(k + 2)/10
Let a(h) = -h**3 + 2. Let c(u) = -u**3 - 3*u**2 + 6*u - 2. Let f be c(1). Let s be a(f). Factor -42*y**s - 4/3 + 38/3*y - 18*y**4 + 54*y**3.
-2*(y - 2)*(3*y - 1)**3/3
Factor -3/2 - b**2 + 11/4*b - 1/4*b**3.
-(b - 1)**2*(b + 6)/4
Let t(p) be the first derivative of p**6/3 - 2*p**5/5 - 3*p**4 - 4*p**3/3 + 5*p**2 + 6*p - 510. Determine f so that t(f) = 0.
-1, 1, 3
Let r be (-9)/15*382/(-3). Let n = r - 76. Determine y so that 2/5*y - n*y**3 + 2/5*y**2 - 2/5 = 0.
-1, 1
Let d(q) be the second derivative of q**6/18 - 17*q**5/30 + q**4 - 7*q**3/6 - 4*q. Let a(b) be the second derivative of d(b). Find x such that a(x) = 0.
2/5, 3
Let i(c) be the third derivative of 5*c**8/168 + 17*c**7/105 + c**6/10 + 114*c**2. Find x such that i(x) = 0.
-3, -2/5, 0
Let s(c) = 30*c**2 + 50*c + 20. Let t(u) = -u**3 - 3*u**2 - u + 1. Let y(g) = s(g) + 5*t(g). Factor y(z).
-5*(z - 5)*(z + 1)**2
Let c(r) be the first derivative of r**7/840 - r**6/240 - r**5/60 + r**4/48 + r**3/8 - 17*r**2/2 - 19. Let a(h) be the second derivative of c(h). Factor a(d).
(d - 3)*(d - 1)*(d + 1)**2/4
Let a = -186114/7 - -26590. Solve a*b**2 - 12/7 + 44/7*b = 0 for b.
-3, 1/4
Let d be (33 - 40)*(-6)/21. What is f in 1/4*f**3 + 0*f**d - 3/4*f + 1/2 = 0?
-2, 1
Let d(l) = 5*l**3 + 2*l**2 + 8*l - 11. Let r be d(1). Let j be ((-26)/8)/(4 - 6). Factor -1/4 - 27/8*t**2 - j*t - 7/8*t**r - 23/8*t**3.
-(t + 1)**3*(7*t + 2)/8
Let c(h) be the second derivative of -h**3/2 + 21*h**2 + 17*h. Let x be c(14). Find q, given that 0*q + x + 0*q**2 - 1/3*q**3 = 0.
0
Factor -5/3*f**2 - 40/3*f**3 + 0 + 10/3*f - 25/3*f**4.
-5*f*(f + 1)**2*(5*f - 2)/3
Let i(k) be the first derivative of -12 + 1/2*k - 11/12*k**2 - 1/4*k**4 + 7/9*k**3 + 1/36*k**6 - 1/30*k**5. Factor i(t).
(t - 1)**4*(t + 3)/6
Factor 4/7*d**3 - 12*d**2 - 540/7 + 396/7*d.
4*(d - 15)*(d - 3)**2/7
Let g(z) be the third derivative of 0 - 1/60*z**5 + 0*z**4 - 1/240*z**6 + 0*z**3 + 0*z + 4*z**2. Factor g(n).
-n**2*(n + 2)/2
Let g be (-24)/(-12)*(-16)/(-128). Factor 1 + g*y**2 - y.
(y - 2)**2/4
Let k(h) = -12*h - 16. Let t be k(-3). Let r be 5/1*32/t. Factor -16/5*i - 18/5*i**4 + r*i**2 + 0 - 12/5*i**3.
-2*i*(i + 2)*(3*i - 2)**2/5
Let q(c) = -c**2 - 11*c - 5. Let x be q(-7). Factor -l**4 - 2*l**2 - 3*l**3 + 23*l - x*l.
-l**2*(l + 1)*(l + 2)
Suppose 2*g - g - 2*g = 0. Let t be (10/(-2))/((g + -6)/2). Determine r, given that 0 - 2/3*r - t*r**2 = 0.
-2/5, 0
Factor 2*m**2 + 8*m - 3*m**2 + 29 - 62 + 17.
-(m - 4)**2
Let z(c) = -5*c - 2. Let s be z(-1). Factor 3 + s*l - 1 - 7*l - 6*l**2 + 0.
-2*(l + 1)*(3*l - 1)
Let u = 1231/15 - 82. Let k(f) be the third derivative of -2*f**2 + 1/42*f**7 + u*f**5 - 1/6*f**4 + 0*f**3 + 13/120*f**6 + 0*f + 0. Let k(y) = 0. What is y?
-2, -1, 0, 2/5
Suppose -54 = -k + 5*x, 2*k = -x + 2*x + 126. Find p, given that k*p - 6 + 21*p**2 - 91*p - 6*p**2 = 0.
-1/5, 2
Suppose 23 = v + 5*y, v - 3*y - 3 = -4*v. Suppose -2*p = t - p - v, 0 = -t - 2*p + 3. Find h, given that -1/2*h**2 + 3/4*h + 1/4*h**5 + 0*h**4 - h**t + 1/2 = 0.
-1, 1, 2
Suppose -2*s - 3*j = 8, 50*s - 43*s - 3*j - 26 = 0. Factor -2/7*z**5 - 4/7*z**3 + 0*z**s + 0 + 6/7*z**4 + 0*z.
-2*z**3*(z - 2)*(z - 1)/7
Let t be (26/65)/(36/5). Let s(y) be the second derivative of 1/12*y**2 + 0 - t*y**3 - 3*y + 1/72*y**4. Factor s(m).
(m - 1)**2/6
Let q(g) be the second derivative of -10*g**7/21 + g**6/6 + 17*g**5 + 635*g**4/12 + 110*g**3/3 - 5