r + 1)/5
Let t be 2*2/8*-58. Let w = 61/2 + t. Factor -w*n + 5/2*n**2 - 1.
(n - 1)*(5*n + 2)/2
Suppose -1 = -5*t + 3*n + 5, 3*n - 24 = -5*t. Let -1/2*c - 2*c**4 - 3/2*c**5 + 2*c**3 + t*c**2 - 1 = 0. Calculate c.
-1, 2/3, 1
Suppose 13*g - 52 = -13*g. Determine u, given that -4/3*u - 2/3*u**3 + 0 + g*u**2 = 0.
0, 1, 2
Suppose -4*q = -5*b - 5, 2*b + 4*q = q + 21. Let a(c) be the third derivative of 1/6*c**4 + c**2 + 0 + 1/30*c**5 + 0*c**b + 0*c. Let a(r) = 0. What is r?
-2, 0
Suppose 13*g = 8*g + 140. Let v = 28 - g. What is y in -1/2*y**3 - y**2 + v - 1/2*y = 0?
-1, 0
Let r = 422/7 - 60. Suppose -3*d = -5*d. Factor 2/7*v**2 + r*v + d.
2*v*(v + 1)/7
Let a(p) = -6*p**2 - 15*p - 95. Let j(x) = 7*x**2 + 14*x + 94. Let c(f) = 6*a(f) + 5*j(f). Find y such that c(y) = 0.
-10
Let i(g) be the second derivative of g**4/3 - g**3/3 - 5*g. Factor i(j).
2*j*(2*j - 1)
Let d be (-32)/(-112) - (-52)/14. Suppose -d - 4 = -2*s + o, 0 = -4*s + 4*o + 16. Determine u so that 0*u + 10/11*u**s + 0 + 0*u**2 + 8/11*u**5 + 2/11*u**3 = 0.
-1, -1/4, 0
Let w(c) be the third derivative of c**6/120 - c**5/30 - c**4/24 + c**3/3 + 12*c**2. Find g such that w(g) = 0.
-1, 1, 2
Let a(m) be the second derivative of -2*m + m**4 + 8*m**2 + 1/10*m**5 + 0 + 4*m**3. Find w such that a(w) = 0.
-2
Find v, given that -58*v**3 - 2*v**4 - 49*v**3 + 8*v + 115*v**3 - 12*v**2 - 2 = 0.
1
Let f(p) = 73*p - 1. Let g be f(1). Solve 11*n**4 - 72*n**2 + 2*n**3 - 14*n - 4 - 35*n**4 - 16*n - g*n**3 = 0.
-1, -2/3, -1/4
Let u be (6/(-200))/(54/45). Let f = 9/40 + u. Suppose 1/5*l**3 + 0*l + 0 - f*l**2 = 0. What is l?
0, 1
Let f(n) = -n**3 + 4*n**2 - n - 2. Let p be f(3). Factor l**p - 2*l**2 + 2*l**2 - 2*l**3 - 3*l**2 + 4*l**2.
l**2*(l - 1)**2
Suppose 300*y - 3*y**2 - 129*y - 147*y - 21 = 0. What is y?
1, 7
Let r be 2*(-1)/2 + 5. Let c = r + -9. Let h(g) = 4*g**3 - 4*g**2 - 5*g - 5. Let s(a) = 6*a**3 - 6*a**2 - 7*a - 7. Let w(m) = c*s(m) + 7*h(m). Factor w(o).
-2*o**2*(o - 1)
Let t = -18 + 23. Let 2*j**t + 3*j**4 - 9*j**4 + 4*j**3 + 0*j**5 = 0. What is j?
0, 1, 2
Let v(n) be the second derivative of -n**7/140 - n**6/30 - n**5/40 + n**4/24 + n**2 + n. Let x(j) be the first derivative of v(j). Find y, given that x(y) = 0.
-2, -1, 0, 1/3
Let f(w) = w**3 + 20*w**2 + 21*w + 40. Let i be f(-19). Let 2*o - i - 1/2*o**2 = 0. Calculate o.
2
Solve -12/7*h - 5/7*h**2 - 4/7 + 12/7*h**3 + 9/7*h**4 = 0.
-1, -2/3, 1
Let z be 2/(-6)*-3 + 14. Let h be (6/(-5))/(z/(-50)). Factor h*l**2 - 2*l**2 - l**4 - l**4.
-2*l**2*(l - 1)*(l + 1)
Let l be (1 + 0)/((-2)/(-4)). Let g be (4/4)/((-1)/(-4)). Factor g*y - 2*y - 2*y**l + 4*y**2.
2*y*(y + 1)
Let p(d) be the second derivative of d + 0 + 1/15*d**6 + 0*d**3 - 1/6*d**4 + 0*d**2 + 1/5*d**5 - 2/21*d**7. Find o, given that p(o) = 0.
-1, 0, 1/2, 1
Let 3*l**3 + 164*l**2 - 180*l**4 + 31*l + 65*l + l**3 - 100*l**5 + 16 = 0. What is l?
-1, -2/5, 1
Let t(j) be the second derivative of j**9/13608 - j**8/7560 - j**7/3780 + j**6/1620 - 5*j**3/6 + 6*j. Let z(r) be the second derivative of t(r). Factor z(l).
2*l**2*(l - 1)**2*(l + 1)/9
Let d = 60 + -40. Let q be 5/d*3/3. Solve -1/2*j - 1/4*j**2 - q = 0.
-1
Let p(m) be the second derivative of m**6/10 + 3*m**5/5 - 3*m**4/4 - 9*m**3 + 24*m. Factor p(t).
3*t*(t - 2)*(t + 3)**2
Let n = -89 - -535/6. Let t(k) be the second derivative of -n*k**3 + k + 1/12*k**4 + 0*k**2 + 0. Factor t(r).
r*(r - 1)
What is i in -2*i**4 - 3*i**3 + 11*i - i**3 + 2*i**2 - 8 + 4*i**2 - 3*i = 0?
-2, 1
Let -3/7*l - 6/7*l**2 - 3/7*l**3 + 0 = 0. Calculate l.
-1, 0
Let n(w) be the first derivative of -25*w**9/6048 - w**8/672 + w**7/105 - w**6/180 - 2*w**3/3 - 2. Let z(a) be the third derivative of n(a). Factor z(r).
-r**2*(r + 1)*(5*r - 2)**2/2
Let u(x) be the second derivative of -x**4/66 + 5*x**3/33 - 6*x**2/11 + 12*x - 1. Determine j so that u(j) = 0.
2, 3
Let i(f) be the first derivative of -6 + 3/4*f**3 - 15/8*f**2 + 3/2*f. Solve i(g) = 0.
2/3, 1
Let w(a) = -a**2 - a - 1. Let v(l) = l**2 + 5*l + 2. Let k be v(-3). Let q(r) = 2. Let h(n) = k*w(n) - 2*q(n). Factor h(o).
4*o*(o + 1)
Let d = -2 + 4. Factor 2*q**4 - 3*q**2 + q**2 - d*q**3 + 3*q - q.
2*q*(q - 1)**2*(q + 1)
Let w(p) = -2*p - 1. Let l(j) = 5*j + 3. Let o(b) = -4*l(b) - 11*w(b). Let m be o(2). Determine t so that 2/5*t + 0 - 13/5*t**2 + 5*t**m - 14/5*t**4 = 0.
0, 2/7, 1/2, 1
Let x = 8348/9 + -39796/45. Let 54/5*f**5 - 16/5 - x*f**4 + 104/5*f + 342/5*f**3 - 268/5*f**2 = 0. Calculate f.
2/3, 1
Let l be ((-3)/(-10))/(3/4). What is g in 0 + 0*g + l*g**3 - 4/5*g**2 = 0?
0, 2
Factor 7*k**4 + 0*k + k**4 + 3*k - 5*k - 8*k**2 + 2*k**3.
2*k*(k - 1)*(k + 1)*(4*k + 1)
Let y be 4 + (-1 - -2)/((-6)/12). Determine h so that -2/9*h**4 - 14/9*h - 2*h**y - 10/9*h**3 - 4/9 = 0.
-2, -1
Let o(f) be the second derivative of 1/40*f**5 - 3*f + 0*f**6 - 1/168*f**7 + 0*f**4 - 1/24*f**3 + 0*f**2 + 0. Factor o(w).
-w*(w - 1)**2*(w + 1)**2/4
Suppose -3*v = -t - t - 2, 0 = -v + 3*t - 4. Factor -4/7 + 2/7*m**v + 2/7*m.
2*(m - 1)*(m + 2)/7
Let x(f) be the second derivative of 1/2*f**2 - 5/36*f**5 + 0 + 2*f - 1/18*f**3 - 5/36*f**4. Let s(i) be the first derivative of x(i). Factor s(r).
-(5*r + 1)**2/3
Let 2/5*w**3 + 0*w**2 + 0 - 2/5*w = 0. What is w?
-1, 0, 1
Let y(p) be the second derivative of 0 - 1/6*p**4 - 1/60*p**6 - 3/2*p**2 + 0*p**3 - 2*p + 1/10*p**5. Let m(j) be the first derivative of y(j). Factor m(u).
-2*u*(u - 2)*(u - 1)
Find h such that 2*h**4 - 10*h + 2*h**4 + 2*h**5 + 8*h - 4*h**2 = 0.
-1, 0, 1
Suppose 3*q = -43 - 44. Let x = -27 - q. Find p such that -96*p**x + 128/3*p**3 + 72*p - 18 = 0.
3/4
Let h = -9 + 15. Suppose 4*c + 2*n = 10, 5*c = -n + 5*n + h. Solve u**c - 2*u**2 - u + 2*u**2 = 0 for u.
0, 1
Let w be -11 + 414/27 - 3. What is g in 2*g - 2/3*g**2 - w = 0?
1, 2
Let g(b) be the third derivative of 0*b**3 + 0 - 4*b**2 + 125/504*b**8 + 10/21*b**7 + 0*b**4 + 4/45*b**5 + 0*b + 1/3*b**6. Factor g(t).
2*t**2*(5*t + 2)**3/3
Suppose -9*y + 0 = -0. Factor 0*u + y - 2/7*u**5 + 2/7*u**2 + 2/7*u**3 - 2/7*u**4.
-2*u**2*(u - 1)*(u + 1)**2/7
Let h(y) be the first derivative of -y**6/24 + 3*y**4/16 + y**3/6 + 39. Factor h(a).
-a**2*(a - 2)*(a + 1)**2/4
Suppose -4*w - 1 = -9. Let z(r) be the second derivative of 0 + 1/105*r**7 + 0*r**3 + 2*r + 3/50*r**5 + 0*r**w - 1/25*r**6 - 1/30*r**4. Factor z(j).
2*j**2*(j - 1)**3/5
Let o(n) be the third derivative of -n**7/10080 + n**6/1440 - n**5/480 - n**4/6 - 5*n**2. Let i(a) be the second derivative of o(a). Factor i(g).
-(g - 1)**2/4
Let t(b) be the third derivative of b**6/120 - b**4/8 - 5*b**2. Let z(p) = -4*p + 2 - 2 + p**3. Let i(l) = -4*t(l) + 3*z(l). Let i(x) = 0. Calculate x.
0
Let g(f) = f**2 + 10*f + 13. Let l be g(-9). Factor 98*c**4 + 42*c**3 - c + 9*c - l*c**2 - 44*c**2.
2*c*(c + 1)*(7*c - 2)**2
Let o(i) = -22*i**4 + 18*i**3 + 2*i**2 + 16*i + 14. Let m(l) = -l**4 + l**2 + l + 1. Let h(z) = 28*m(z) - 2*o(z). Factor h(k).
4*k*(k - 1)**2*(4*k - 1)
Let y = 83 - 75. Let p(k) be the third derivative of 0 + 0*k**7 + 1/168*k**y + 0*k**3 - 3*k**2 - 1/60*k**6 + 0*k**5 + 0*k**4 + 0*k. Suppose p(x) = 0. What is x?
-1, 0, 1
Let g = 55 + -27. Let t be 114/g - 15/(-35). What is o in 1 - 8*o**3 + 0*o**4 + 7/2*o + t*o**5 - o**2 = 0?
-1, -2/3, -1/3, 1
Let -1/2*f - 1/2 + f**2 - 1/2*f**5 - 1/2*f**4 + f**3 = 0. Calculate f.
-1, 1
Let v be -2*(-25)/30*3. Let w(x) be the first derivative of -1/3*x**4 - 1 + 2/15*x**v + 2/9*x**3 + 0*x**2 + 0*x. Suppose w(r) = 0. Calculate r.
0, 1
Let j(d) be the first derivative of 1/9*d**6 + 4/9*d**3 - 2/9*d**5 - 1/9*d**4 - 1/9*d**2 - 2/9*d - 4. Let j(g) = 0. What is g?
-1, -1/3, 1
Let f(b) be the first derivative of 2*b**5/15 - b**4/6 - 5. Factor f(s).
2*s**3*(s - 1)/3
Factor -4*u**3 - 37*u**5 + u + 35*u**5 + 6*u**4 - u.
-2*u**3*(u - 2)*(u - 1)
Determine b so that 8*b + 2*b**3 - 1/4*b**4 - 4 - 6*b**2 = 0.
2
Let s be ((-494)/10)/((-4)/(-5)). Let l = s - -62. Solve 0*o - 1/4 + l*o**2 = 0 for o.
-1, 1
Let i be ((-6)/12)/(2/(-12)). Let d be 123/21 - i - 2. What is o in 0*o**2 + 2/7*o**3 - d*o - 4/7 = 0?
-1, 2
Let l = -44/3 + 15. Let z = 1 - l. Suppose 4/3*a**3 + 0 + 0*a**2 - z*a**5 + 0*a**4 - 2/3*a = 0. What is a?
-1, 0, 1
Let p be (0 - (-2)/(-4))/(25/(-100)). Determine j, given that 2/11*j**p - 4/11 - 2/11*j = 0.
-1, 2
Let b be 5 - 4 - (-21)/(-175)*5. Solve -4/5 + b*t + 2/5*t