ve of w(v). Factor i(o).
-3*o*(o + 1)**2
Factor 3/5*a**2 + 0*a + 0.
3*a**2/5
Let f(i) = -i - 5 + 14*i**2 + 4*i**3 - i**3 - 3 - 4*i. Let y(l) = -l**3 - 5*l**2 + 2*l + 3. Let w(j) = -3*f(j) - 8*y(j). Solve w(g) = 0 for g.
-1, 0
Let o(b) be the second derivative of b**4/4 + 3*b**3/2 - 14*b. Factor o(u).
3*u*(u + 3)
Suppose -16 = -d - 5*x, 3*d + 0*d - 9 = -2*x. Let j = d + -1. Let 1/3*a**2 + j + 1/3*a = 0. What is a?
-1, 0
Suppose -3*c + 3 = 0, 4*p + 463 = 4*c - 197. Let j = p - -496/3. Solve 1/3*f**2 + j + 4/3*f = 0 for f.
-2
Let x be 15/6*24/10. Let u be 16/x + (-12)/(-9). Suppose 14/3*a**2 + 2/3 - 11/3*a + 7/3*a**5 - 16/3*a**u + 4/3*a**3 = 0. Calculate a.
-1, 2/7, 1
Let k = 4 - 1. Suppose 4*v**k + 0*v - 2*v + 0*v**3 - 2*v**3 = 0. Calculate v.
-1, 0, 1
Let o(h) be the first derivative of -h**5/10 + h**4/3 - h**3/3 + 8*h - 5. Let k(f) be the first derivative of o(f). Factor k(x).
-2*x*(x - 1)**2
Let b(d) = -1. Let o(n) = -n**2 + 4*n + 7. Let m(z) = -3*b(z) - o(z). Let q(s) = -s**2. Let p = 1 + 1. Let x(k) = p*q(k) + m(k). Factor x(t).
-(t + 2)**2
Let q(t) be the first derivative of 6 - 15/4*t**4 - 3/2*t**2 - 8*t**3 + 6*t. Let q(b) = 0. What is b?
-1, 2/5
Let i(q) be the second derivative of q**5/4 - 17*q**4/12 + 19*q**3/6 - 7*q**2/2 + 11*q - 2. Solve i(w) = 0 for w.
1, 7/5
Let w(x) = -x**3 - x**2 - 8*x - 2. Let a(m) = 3*m**3 + 2*m**2 + 17*m + 4. Let s(n) = -3*a(n) - 7*w(n). Find p such that s(p) = 0.
-1, -1/2, 2
Let k(y) be the first derivative of y**5/5 - 5*y**4/4 + 8*y**3/3 - 2*y**2 - 22. Factor k(o).
o*(o - 2)**2*(o - 1)
Let h be (-4 + 152/36)/4. Let n(j) be the first derivative of -1/9*j**3 - 4/3*j + 4/3*j**2 - 1 + 1/15*j**5 - 5/12*j**4 + h*j**6. Factor n(l).
(l - 1)**3*(l + 2)**2/3
Find s such that 2 + 7*s**2 - s - 13*s**2 + 6*s**4 - s**3 - 4*s**4 = 0.
-1, 1/2, 2
Suppose 0 = -3*o + 14 - 5. Let c(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 - 1/9*t**3 + o + 1/15*t**5. Determine d, given that c(d) = 0.
-1, 0, 1
Let u(l) = -l**3 - 9*l**2 - 9*l - 11. Let h be u(-8). Let d(b) = b**3 + 4*b**2 + 3*b + 2. Let f be d(h). Factor 0*y**f - 1/3*y**3 + 1/3*y + 0.
-y*(y - 1)*(y + 1)/3
Let n(x) be the third derivative of 0*x**3 + 0 + 1/336*x**8 + 1/140*x**7 + 0*x - 1/120*x**6 + 0*x**5 + 4*x**2 + 0*x**4. Factor n(b).
b**3*(b + 2)*(2*b - 1)/2
Let o(z) be the second derivative of -9*z**5/10 + 23*z**4/4 - 10*z**3 - 6*z**2 - 14*z. Find i such that o(i) = 0.
-1/6, 2
Let m be -3*(1 + 5/(-3)). Solve -2*y**4 - y**m + 8*y**4 - 6*y**3 - 2*y**5 + 3*y**2 = 0.
0, 1
Let k(b) be the second derivative of -b**4/4 - 3*b**3 - 27*b**2/2 - 5*b. Find o, given that k(o) = 0.
-3
Let k(w) be the third derivative of -w**8/33600 - w**7/8400 + w**5/20 - 2*w**2. Let v(a) be the third derivative of k(a). Suppose v(g) = 0. Calculate g.
-1, 0
Let d(z) be the third derivative of -z**7/70 + 7*z**6/40 - z**5/4 - 7*z**4/8 + 3*z**3 - 6*z**2 - 3*z. Solve d(p) = 0.
-1, 1, 6
Factor -9/4*s + 3/4*s**2 + 0.
3*s*(s - 3)/4
Let t be (((-12)/(-9))/4)/109. Let j = t + 2609/2289. Factor -2/7*x**3 - 10/7*x - 4/7 - j*x**2.
-2*(x + 1)**2*(x + 2)/7
Let l be 0/(-11)*2/2. Suppose 3*s = 3*k + k + 28, l = s + 4*k + 12. Determine x, given that -1/4*x - 1/4*x**s + 1/2*x**3 + 1/2*x**2 - 1/4 - 1/4*x**5 = 0.
-1, 1
Let a(g) be the third derivative of -1/945*g**7 + 0*g**4 - 2*g**2 + 1/1512*g**8 + 0*g + 0 + 0*g**3 + 1/270*g**5 - 1/540*g**6. Factor a(c).
2*c**2*(c - 1)**2*(c + 1)/9
Let z be (-14)/91 + (-2)/(-13). Let m(j) be the second derivative of 1/168*j**7 - 1/40*j**6 - 1/48*j**4 - 2*j + 0*j**3 + 3/80*j**5 + z*j**2 + 0. Factor m(t).
t**2*(t - 1)**3/4
Let y be -1*(3/(-3))/1. Solve -2*s**2 - 1 + y - 8 + 0*s + 8*s = 0.
2
Let v(z) be the first derivative of 8*z**3/39 + 3*z**2/13 - 1. Suppose v(t) = 0. What is t?
-3/4, 0
Factor 1/8*c**2 + 0 + 1/8*c - 1/8*c**4 - 1/8*c**3.
-c*(c - 1)*(c + 1)**2/8
Let x(n) be the third derivative of -1/70*n**7 + 0*n**3 + 0*n**4 + 0*n + 0 + 0*n**5 + 2*n**2 + 1/40*n**6. Factor x(i).
-3*i**3*(i - 1)
Factor -3*v**4 + 3 - 2 - 6*v**3 - 1 - 3*v**2.
-3*v**2*(v + 1)**2
Suppose -4*n = -10 - 2. Let q = 125/33 - 38/11. Factor q*k**n - 1/3*k**2 + 0 - 2/3*k.
k*(k - 2)*(k + 1)/3
Solve 2*k**3 + 15*k**2 + 2*k**3 + 21*k - k**3 + 9 = 0.
-3, -1
Suppose 0 = -5*i, 3*i = -3*d + d - 6. Let w = d + 6. Factor 3/2*s**4 - 3/2*s**2 + s**w - s + 0.
s*(s - 1)*(s + 1)*(3*s + 2)/2
Let p(r) = 2*r**2 - 4*r. Let g(n) = 1. Let d be (0 - (-3)/6)*-12. Let k be (9 + d)*(-1)/(-3). Let m(q) = k*p(q) + 2*g(q). Solve m(u) = 0.
1
Determine a so that 0*a**3 + a - 8*a**3 + 3*a + 4*a**5 = 0.
-1, 0, 1
Suppose -2*k - 4*k = -30. Find v such that 3/2*v**3 + 3/2*v**4 + 0*v - 3/2*v**k - 3/2*v**2 + 0 = 0.
-1, 0, 1
Let m = 5 + -6. Let n be (-1)/(1/1) - m. Suppose n + 0*i**2 + 2/7*i - 2/7*i**3 = 0. What is i?
-1, 0, 1
Let u(n) = -3*n**3 + n**2 - n - 1. Let k be u(-1). Suppose k*o = 12 - 0. Find x such that 2*x + 2*x**3 - x**2 + x**4 - x - 3*x**o = 0.
-1, 0, 1
Factor 2*d**3 + 2/5*d**4 + 6/5*d + 0 + 14/5*d**2.
2*d*(d + 1)**2*(d + 3)/5
Let k be 7/2 + 2/(-8)*2. Let j(c) be the third derivative of 0*c + 1/6*c**k - 3*c**2 - 1/12*c**4 + 0 + 1/60*c**5. What is w in j(w) = 0?
1
Let t(w) = 2*w**3 - 4*w**2 - 8*w - 4. Let d(m) = -3*m**3 + 3*m**2 + 8*m + 5. Let j(i) = -4*d(i) - 5*t(i). Let j(b) = 0. What is b?
-2, 0
Suppose 5*s + 23 = -j, -j + 2*j + 4*s = -18. Factor 5*h**3 - 10*h**2 + h**3 + 2*h + j + 0*h + 0*h**3.
2*(h - 1)**2*(3*h + 1)
Let v(u) be the second derivative of u**6/45 - u**5/30 - u**4/18 + u**3/9 - 9*u. Factor v(g).
2*g*(g - 1)**2*(g + 1)/3
Let w(x) be the third derivative of -1/6*x**3 + 0 + 1/8*x**4 + 1/120*x**6 - 1/20*x**5 + 0*x - 3*x**2. Factor w(g).
(g - 1)**3
Determine o so that 20/11*o**2 + 2/11*o**5 + 2/11*o**3 - 8/11*o - 16/11 - 8/11*o**4 = 0.
-1, 2
Suppose -9*u - 30 = -19*u. Factor 0*h + 4/9*h**u + 2/9*h**4 + 0 + 0*h**2.
2*h**3*(h + 2)/9
Suppose 6 - 15/2*x + 3/2*x**2 = 0. What is x?
1, 4
Determine g, given that -6*g**2 + 3*g**4 - 299*g**3 + 3 + 299*g**3 = 0.
-1, 1
Let z = 1/3446 + 1250893/17230. Let g = 73 - z. Factor -16/5 - g*k**3 - 24/5*k - 12/5*k**2.
-2*(k + 2)**3/5
Let t = -136 - -139. Factor 0 + 2/5*y**t + 2/5*y**2 + 0*y.
2*y**2*(y + 1)/5
Let c(q) be the third derivative of 3/70*q**7 + 0*q + 1/3*q**3 - 8*q**2 + 7/24*q**4 - 11/60*q**5 - 7/120*q**6 + 0. Suppose c(h) = 0. What is h?
-1, -2/9, 1
Let h be 14/77 + (-84)/(-22). Factor -h*c**4 - 3*c**5 - 5*c**3 + 13*c**4 - c**3.
-3*c**3*(c - 2)*(c - 1)
Suppose -5/6*g**2 - 2/3*g - 1/6*g**3 + 0 = 0. Calculate g.
-4, -1, 0
Suppose 2*w + 2 - 8 = 0. Suppose -2*q = -w + 1. Find c such that c**2 + q + 0*c**2 - 2*c**2 - c + c**3 = 0.
-1, 1
Let j be ((-1)/3)/((-28)/7). Let f(a) be the first derivative of j*a**3 + 1/2*a**2 - 1 + a. Factor f(x).
(x + 2)**2/4
Let i = -7 - -11. Factor -20*p**4 - 2*p**3 + 4*p**i - 18*p**3 - 8*p**2 - 4*p**5.
-4*p**2*(p + 1)**2*(p + 2)
Let k(r) be the first derivative of 1/10*r**4 + 1/30*r**6 + 0*r + 0*r**2 + 0*r**3 + 1 + 3/25*r**5. Factor k(h).
h**3*(h + 1)*(h + 2)/5
Let h(g) = -2*g**2 + 2*g. Let v be h(-3). Let a be v/9*(-6)/4. Solve 0*m**3 - 2*m - m**3 - a*m**2 + 4 + 3*m**3 = 0.
-1, 1, 2
Let m(c) = -3*c**3 + 2*c**2 - 1. Let a be m(-1). Suppose -2*l - 4 = 3*t - 5*t, -a*t + 32 = 4*l. Solve 0 - 4/7*o**2 + 0*o - 2/7*o**l = 0.
-2, 0
Let 54/5 - 2/5*i**4 - 36/5*i**2 + 0*i + 16/5*i**3 = 0. What is i?
-1, 3
Let w(u) be the first derivative of 1 + 0*u + 0*u**2 + 1/12*u**3 - 1/20*u**5 + 0*u**4. Let w(p) = 0. Calculate p.
-1, 0, 1
Let o(j) be the second derivative of j**8/5880 - j**7/1470 + j**5/210 - j**4/84 - j**3/2 + 2*j. Let i(d) be the second derivative of o(d). Solve i(q) = 0.
-1, 1
Suppose -5*n = -n - 20. Suppose 5*r - 2*r - 17 = -n*b, 4*r + 4*b - 20 = 0. Factor 22*g**3 + 13*g**3 - 57*g**2 - 16*g**r - 2 + 19*g + 21*g**3.
-(g - 2)*(g - 1)*(4*g - 1)**2
Let r(c) be the second derivative of -c**5/60 + c**4/12 - c**3/6 + c**2/6 + 15*c. Solve r(h) = 0 for h.
1
Let w = 8 + -29. Let q = w + 24. Suppose 0 - 40/7*s**4 + 46/7*s**q - 4/7*s - 2/7*s**2 = 0. What is s?
-1/4, 0, 2/5, 1
Let b = -4 - -2. Let y(f) = 2*f**3 - 25*f**2 + 2*f - 7. Let v(w) = w**3 - 8*w**2 + w - 2. Let o(l) = b*y(l) + 7*v(l). Factor o(z).
3*z*(z - 1)**2
Let u = -6 + 18. Suppose -35*i**3 + 84*i**5 - 100*i**3 + 87*i**4 - 2*i - 36*i**3 - u*i**2 + 14*i = 0. What is i?
-2, -2/7, 0, 1/4, 1
Let w(h) be the sec