*k + 1/8*h**5 + 0 + 1/4*h**4 + 0*h + 0*h**2 = 0.
-2, 0
Let b = -25/701 - -118569/2804. Find t, given that -1 - b*t**2 + 13*t = 0.
2/13
Solve -112/11*x**2 + 52/11*x**3 + 94/11*x - 28/11 - 4/11*x**4 - 2/11*x**5 = 0 for x.
-7, 1, 2
Let o(a) be the third derivative of -1/24*a**6 + 5/24*a**4 - 1/6*a**5 + 0 + 0*a + 38*a**2 + 5/3*a**3. Factor o(d).
-5*(d - 1)*(d + 1)*(d + 2)
Let j(z) = 15*z**2 + 144. Let u(r) = -9*r**2 - 145. Let i(b) = 2*j(b) + 3*u(b). Let i(f) = 0. What is f?
-7, 7
Suppose -3*d = -5*w + 33, 12 = 4*w + 5*d - 7. Factor -2*u**3 + w*u**3 - 4*u**2 + 16 - 20*u + 4*u.
4*(u - 2)*(u - 1)*(u + 2)
Let q be 15/6*-2*(-1)/1. Let u be ((-25)/(-5))/q + -1. Factor 1/3*j**4 + 0*j - 1/3*j**2 - 1/3*j**5 + u + 1/3*j**3.
-j**2*(j - 1)**2*(j + 1)/3
Let r(m) be the second derivative of 17*m + 0 + 1/42*m**4 - 20/21*m**3 + 100/7*m**2. Determine p so that r(p) = 0.
10
Let n(u) be the first derivative of u**8/42 + 4*u**7/105 - u**6/20 - u**5/15 + u**4/12 - 7*u**2/2 - 8. Let p(z) be the second derivative of n(z). Factor p(k).
2*k*(k + 1)**2*(2*k - 1)**2
Suppose 0 = 3*m - 8 - 1. Let c = 8 - m. Factor -2*a**2 - 2*a**4 + 2*a**3 - a**5 + 4*a**2 - a**c.
-2*a**2*(a - 1)*(a + 1)**2
What is l in 2/13*l**3 + 62/13*l + 30/13 + 34/13*l**2 = 0?
-15, -1
Let h(i) be the third derivative of -i**8/13440 - i**7/5040 + 7*i**4/24 - 2*i**2. Let s(w) be the second derivative of h(w). Factor s(q).
-q**2*(q + 1)/2
Let k(t) be the second derivative of t**5/200 - t**4/40 - t**3/15 + 3*t**2/5 + 85*t. Factor k(h).
(h - 3)*(h - 2)*(h + 2)/10
Let l(q) be the first derivative of 2*q**6/7 - 29*q**5/35 + 11*q**4/28 + 23*q**3/21 - 23*q**2/14 + 6*q/7 - 111. Find j such that l(j) = 0.
-1, 2/3, 3/4, 1
Let x(j) be the third derivative of 0*j + 2/7*j**7 - 15/4*j**6 - 1/112*j**8 - 625/8*j**4 + 25*j**5 + 0 + 0*j**3 + 30*j**2. Factor x(h).
-3*h*(h - 5)**4
Let q(t) be the first derivative of 8/3*t - 1/6*t**4 + 2/5*t**5 + 1/9*t**6 - 14/9*t**3 - 13 + 0*t**2. Solve q(a) = 0 for a.
-2, -1, 1
Determine j so that 0*j**2 - 85 - 74 + 127 + 4*j**2 + 28*j = 0.
-8, 1
Let g(f) = f**2 - f + 3. Let j be g(-4). Let h = -18 + j. Let 7 + 3*l**2 + 7 - 7 - 12*l + h = 0. What is l?
2
Let c(f) be the third derivative of -2*f**7/735 - f**6/105 + 8*f**5/35 + 483*f**2. Factor c(k).
-4*k**2*(k - 4)*(k + 6)/7
Let c(o) = 2*o**2 - 29*o + 29. Let k(m) = -4*m - 23. Let l be k(-7). Let j(g) = g**2 - 19*g + 19. Let r(a) = l*c(a) - 7*j(a). Find x, given that r(x) = 0.
2
Let u(k) = k**3 + k + 1. Let a(t) = -t**3 - 19*t**2 + 97*t - 83. Let d(j) = -a(j) - 2*u(j). Find q, given that d(q) = 0.
1, 9
Let h(r) be the first derivative of -r**3/7 + 39*r**2/14 - 363. Let h(v) = 0. What is v?
0, 13
Suppose -5*b = -4*q - q + 960, 5*q = -5*b + 1010. Let j = 988/5 - q. Factor -1/5*i**3 + 2/5 + 0*i**2 + j*i.
-(i - 2)*(i + 1)**2/5
Suppose -18*v + 23*v - 10 = -5*g, -5*v = 2*g - 4. Let n(r) be the first derivative of -6 + 0*r + 2/21*r**3 - 2/7*r**g. Factor n(z).
2*z*(z - 2)/7
Let h(b) be the first derivative of 0*b**2 - 5*b + 5 + 5/3*b**3. Factor h(d).
5*(d - 1)*(d + 1)
Suppose 4*u + 16 = 2*a + 46, 2*u - 35 = 5*a. Solve 11*g + 11*g + u*g**2 - 10 - 43*g + 16*g = 0 for g.
-1, 2
Let i = 104 + -102. Let b(k) be the third derivative of 1/60*k**5 + 0*k + 3*k**i - 1/6*k**3 + 0*k**4 + 0. Factor b(t).
(t - 1)*(t + 1)
Suppose 5*r = 5*r + 11*r. Let z(n) be the third derivative of -1/105*n**5 + 0 - 11*n**2 + r*n + 0*n**4 + 1/735*n**7 + 1/21*n**3 + 0*n**6. Factor z(a).
2*(a - 1)**2*(a + 1)**2/7
Let l(b) be the first derivative of b**4/72 + b**3/36 - 5*b - 2. Let i(x) be the first derivative of l(x). Suppose i(y) = 0. Calculate y.
-1, 0
Suppose -3*i - 530 = -s, 3*s - 358 = i + i. Let m = i - -355/2. Factor 3/2*h**4 + m*h - 9/2*h**2 + 3 - 3/2*h**3.
3*(h - 2)*(h - 1)*(h + 1)**2/2
Let p = -10634/3 + 3604. Let g = 60 - p. Solve -16/3*q + g*q**2 + 32/3 = 0 for q.
4
Let v = 22 + -11. Suppose -n - 2*n - 3*d = -15, 0 = 4*n + d - v. What is p in -8*p - p**3 + 12 - 7 + 0 - 7*p**n + 11 = 0?
-4, 1
Let l = -13214 + 13218. Suppose 2*f**3 + 5/4*f**l + 0*f + 1/4*f**5 + f**2 + 0 = 0. What is f?
-2, -1, 0
Let f(w) be the third derivative of -7*w**6/6 + 17*w**5/15 + 13*w**4/3 - 16*w**3/3 - 8*w**2 + 3. Solve f(b) = 0 for b.
-4/5, 2/7, 1
Let w(h) = 16*h**2 - 88*h + 300. Let u(j) = j**2 + j - 3. Let l(c) = -20*u(c) + w(c). Suppose l(r) = 0. Calculate r.
-30, 3
Suppose -9*t + 46*t - 666 = 0. Find v, given that 21/2*v**5 + 9/2*v**3 + 0 + 0*v - t*v**4 + 3*v**2 = 0.
-2/7, 0, 1
Let l(h) be the third derivative of -h**5/30 - 16*h**4/3 - 1024*h**3/3 + 57*h**2 - 1. Solve l(t) = 0 for t.
-32
Let l(c) be the second derivative of c**5/50 + 7*c**4/30 + 11*c**3/15 + c**2 + 5*c - 1. Factor l(w).
2*(w + 1)**2*(w + 5)/5
Let i(v) be the second derivative of -1/15*v**3 + 1/30*v**4 + 3*v + 0 - 2/5*v**2. Determine c, given that i(c) = 0.
-1, 2
Factor -104/7*x**2 - 96/7 + 28*x + 4/7*x**3.
4*(x - 24)*(x - 1)**2/7
Let m(s) be the second derivative of s**4/28 - s**3/7 - 15*s**2/2 + 51*s - 4. Factor m(y).
3*(y - 7)*(y + 5)/7
Let g(u) be the first derivative of -44*u**6/15 + 4*u**5 - 9*u**4/4 + 2*u**3/3 - u**2/2 - 6. Let f(t) be the second derivative of g(t). Factor f(r).
-2*(4*r - 1)**2*(11*r - 2)
Let u(y) be the first derivative of 1/3*y**3 + 0*y**2 + 0*y + 1. Let u(s) = 0. What is s?
0
Let f(r) = -3 + 3 + 2*r - r. Let x be f(8). Factor 11*a**2 + 2*a**5 + 38*a**3 + 10*a**2 + 8 + x*a**4 + 29*a**2 + 6*a**4 + 32*a.
2*(a + 1)**3*(a + 2)**2
Let p(c) = c**3 + c**2 + 3*c - 6. Let h be p(4). Let i = h - 86. Find y such that -1/4*y**3 - 1/2*y**2 + i - 1/4*y = 0.
-1, 0
Let b be 2/4*4/(-1). Let i be 3/b - (-9)/6. Factor 1/5*w + 1/5*w**2 + i.
w*(w + 1)/5
Find n, given that 15 + 13/2*n - 1/2*n**2 = 0.
-2, 15
Let a(n) be the second derivative of -n**4/24 - 23*n**3/12 - 11*n**2/2 + 485*n - 2. Determine q, given that a(q) = 0.
-22, -1
Suppose 15*t - 146 = -116. Suppose -t - 9/2*x - 1/2*x**3 - 3*x**2 = 0. What is x?
-4, -1
Let s(y) be the third derivative of 0*y**5 - 1/360*y**6 + 0*y + 0 + 22*y**2 + 0*y**4 + 0*y**3 - 1/315*y**7. Suppose s(c) = 0. What is c?
-1/2, 0
Suppose 2*y + 2 = 6. Suppose -y*u = 3*u - 75. Solve -66*b**3 - 65*b**2 - u*b**2 - 24*b - 14*b**4 - 12*b**2 + 16 = 0 for b.
-2, -1, 2/7
Suppose 3565*d = 3542*d + 46. Factor -21/2*s - 15/2*s**d - 3/2*s**3 - 9/2.
-3*(s + 1)**2*(s + 3)/2
Let s be 30/35*(3 + -6 + 10). Let y(g) be the third derivative of -1/8*g**s + 0*g**5 + 0 + 0*g + 5/6*g**4 + 0*g**3 + 8*g**2 - 1/42*g**7. Factor y(m).
-5*m*(m - 1)*(m + 2)**2
Factor -5/4*a**2 - 3/4*a**3 - 1/4*a + 1/4.
-(a + 1)**2*(3*a - 1)/4
Factor 22/5 + 2/5*u**2 + 24/5*u.
2*(u + 1)*(u + 11)/5
Let v(y) be the first derivative of -y**4/48 - y**3/8 - y**2/4 + 51*y - 49. Let r(x) be the first derivative of v(x). Factor r(o).
-(o + 1)*(o + 2)/4
Let p(b) be the first derivative of -b**2 - b + 1/2*b**4 - 30 - 3/5*b**5 + 4/3*b**3. Factor p(c).
-(c - 1)**2*(c + 1)*(3*c + 1)
Let s(r) be the third derivative of 0*r**5 + 0*r**7 + r**2 - 1/30*r**6 + 0 + 0*r + 1/168*r**8 + 1/12*r**4 + 0*r**3. Factor s(b).
2*b*(b - 1)**2*(b + 1)**2
Suppose -3*k = k - 4. Suppose -2 = g + i - k, -3*g = 5*i + 9. Find s such that 6*s**5 + 4*s - g*s + s - 6*s**3 - 3*s**5 = 0.
-1, 0, 1
Let n = 35/76 - 564/1235. Let t(w) be the third derivative of 0*w + n*w**6 + 0*w**4 - 3*w**2 + 0*w**3 + 1/273*w**7 + 0 - 1/195*w**5. Factor t(o).
2*o**2*(o + 1)*(5*o - 2)/13
Let n(v) = 10*v**2 - 8*v + 2. Let q be n(1). Let a be q/4 - ((-3)/6 + 1). Determine y, given that 0*y**2 - a*y + 0 + 1/2*y**3 = 0.
-1, 0, 1
Let z(p) be the third derivative of -1/300*p**6 - 1/840*p**8 + 0*p**5 + 11*p**2 + 0*p + 0*p**4 - 2/525*p**7 + 0 + 0*p**3. Factor z(k).
-2*k**3*(k + 1)**2/5
Suppose y = 3*n - 7, -n + 2*n + 3 = -5*y. Let s = -1186/69 - -426/23. Determine z so that -7/3*z**n - s + 16/3*z = 0.
2/7, 2
Let p(v) be the first derivative of -5*v**3/12 - 5*v**2/2 + 105*v/4 + 494. Factor p(g).
-5*(g - 3)*(g + 7)/4
Let i be (36/(-48))/(1/4). Let d be (2/i)/(8/(-36)). Solve 2/5*w - 2/5*w**d - 2/5 + 2/5*w**2 = 0.
-1, 1
Let q(d) be the second derivative of d**7/84 - d**6/15 + 3*d**5/20 - d**4/6 - d**3/3 + 7*d. Let b(v) be the second derivative of q(v). Factor b(p).
2*(p - 1)**2*(5*p - 2)
Let b(v) be the first derivative of -v**3/24 - 19*v**2/16 - 17*v/4 - 103. Factor b(t).
-(t + 2)*(t + 17)/8
Let g = 1054 + -10