 -i - 3. Suppose -3 = z*a - 7. Suppose x - x**2 + x - 3*x**2 + a*x**3 = 0. Calculate x.
0, 1
Suppose 0 = -10*k + 26 + 4. Solve 3/2*w + 3/2*w**2 + 1/2 + 1/2*w**k = 0 for w.
-1
Let q(h) be the third derivative of h**6/540 + h**5/54 + 2*h**4/27 + 4*h**3/27 - 17*h**2. Factor q(s).
2*(s + 1)*(s + 2)**2/9
Suppose 4*i + 2*b - 8 = 14, -27 = -3*i - 5*b. Let 2 - 1/2*a**3 + 5/2*a**2 - i*a = 0. What is a?
1, 2
Factor 151*s - 7*s**2 - 166*s + 10 + 12*s**2.
5*(s - 2)*(s - 1)
Suppose -4*u + t + 15 = u, 3*t + 23 = 4*u. Suppose 30*i + 3*i + 7*i = 0. Solve -2/11*k + i - 6/11*k**u + 8/11*k**3 = 0 for k.
-1/4, 0, 1
Let q(l) be the third derivative of 1/240*l**6 + 1/16*l**4 - 1/12*l**3 - l**2 - 1/40*l**5 + 0*l + 0. Solve q(d) = 0.
1
Suppose 22 + 26 = -4*x. Let k be ((-2)/x)/((-3)/(-27)). Suppose 3/2 + k*i**2 - 3*i = 0. Calculate i.
1
Let w(u) be the second derivative of -u**4/90 - u**3/45 - 12*u. Factor w(h).
-2*h*(h + 1)/15
Let -20 + 13*v - 19*v**2 + 5*v**3 + 46*v - 19*v - 6*v**2 = 0. Calculate v.
1, 2
Let -5/6*q**2 - 10/3*q - 5/2 = 0. Calculate q.
-3, -1
Let i be -1*(-1)/(-1) + 3. Determine g, given that 4 - 2*g + 32*g**2 + i*g**3 + 2*g**5 + 7*g + 26*g**3 + 13*g + 12*g**4 = 0.
-2, -1
Let q(f) be the third derivative of -1/6*f**5 + 0*f**3 - 1/15*f**6 - 1/105*f**7 + 0 + 0*f - 3*f**2 - 1/6*f**4. Factor q(a).
-2*a*(a + 1)**2*(a + 2)
Solve 18/7*f**4 - 16/7*f**2 + 4/7*f**3 - 12/7*f - 2/7 + 8/7*f**5 = 0.
-1, -1/4, 1
Let q(t) be the second derivative of 49*t**4/8 - 21*t**3/2 + 27*t**2/4 + 21*t. Factor q(z).
3*(7*z - 3)**2/2
Find c, given that -48/5*c**5 + 0*c**4 - 96/5*c**2 + 6/5 + 147/5*c**3 - 9/5*c = 0.
-2, -1/4, 1/4, 1
Let s(n) = 25*n**3 + 33*n**2 + 33*n + 4. Let v(b) = b**3 - b**2 + b. Let k(p) = 2*s(p) - 14*v(p). Factor k(w).
4*(w + 1)**2*(9*w + 2)
Let l be 0/(-3 + 2/2). Suppose 0 = -5*m + 2*r + 11, 5 = -0*m + 5*m - 5*r. What is o in o - 1/2*o**4 - o**m + 1/2*o**2 + l = 0?
-2, -1, 0, 1
Suppose 9*t - 15*t = -12. Solve 3/2 + 9/2*h**t - 6*h = 0 for h.
1/3, 1
Let s(k) be the second derivative of -k**4/30 + k**3/15 + 25*k. Factor s(z).
-2*z*(z - 1)/5
Factor -24*d**2 + 1162*d + 128 - 1162*d - 4*d**3.
-4*(d - 2)*(d + 4)**2
Let b = 11 - 11. Let a(j) be the third derivative of j**2 + b + 0*j + 1/735*j**7 - 1/84*j**4 - 1/140*j**6 + 1/70*j**5 + 0*j**3. What is s in a(s) = 0?
0, 1
Let c be 360/140 + (-4)/7. What is s in 3*s**c + 6/5 + 21/5*s = 0?
-1, -2/5
Let h(n) be the first derivative of -n**5/10 - n**4/6 + n**3/3 + n**2 - 2*n + 4. Let y(z) be the first derivative of h(z). Find c such that y(c) = 0.
-1, 1
Let z = 1 - -9. Let k = z + -7. Determine u so that -2*u**4 + 2*u**k - 6*u**2 + 6*u**2 = 0.
0, 1
Let a(i) = i**3 + 3*i**2 - 4*i + 2. Let z be a(-4). Suppose -10*c**z - 1 + 5*c - c**3 + 3*c**2 + 3*c**3 + c**3 = 0. Calculate c.
1/3, 1
Let z(v) be the first derivative of 0*v**3 - 1/4*v + 1/20*v**5 + 1/8*v**4 + 1 - 1/4*v**2. Factor z(g).
(g - 1)*(g + 1)**3/4
Suppose -5*r + 0*r = 0. Let o(w) be the first derivative of 0*w**5 + 0*w**2 + 1/24*w**6 + r*w + 0*w**3 - 1/16*w**4 + 1. Find x such that o(x) = 0.
-1, 0, 1
Let o(b) be the first derivative of b**4/4 - 2*b**3/3 + b**2/2 - 2. Let j be o(1). Find i, given that 1/4*i**2 - 1/4*i**5 + 1/4*i**3 + j - 1/4*i**4 + 0*i = 0.
-1, 0, 1
Let w(g) be the second derivative of -g**7/105 + g**6/15 - 4*g**5/25 + 2*g**4/15 + 13*g. Solve w(z) = 0.
0, 1, 2
Let m(a) = 3*a**2 - 2*a - 1. Let z be m(-1). Let h be 3*-1*z/(-3). Let -p**h + 0*p**4 + 0*p**4 = 0. What is p?
0
Let f(m) be the second derivative of -m**5/40 + 3*m**4/8 - 2*m**3 + 4*m**2 + 25*m. Find c, given that f(c) = 0.
1, 4
Let s(m) be the second derivative of m**7/420 - m**6/45 + m**5/12 - m**4/6 - m**3 - m. Let g(w) be the second derivative of s(w). Factor g(r).
2*(r - 2)*(r - 1)**2
Let -10/13*f**4 + 8/13*f - 2/13 + 12/13*f**2 - 8/13*f**3 = 0. Calculate f.
-1, 1/5, 1
Let y(p) be the third derivative of 7*p**7/18 - 7*p**6/4 + 109*p**5/36 - 5*p**4/2 + 10*p**3/9 + 7*p**2. Factor y(x).
5*(x - 1)**2*(7*x - 2)**2/3
Let n(q) be the third derivative of q**8/168 + 17*q**7/1470 + q**6/840 - q**5/210 + 7*q**2. What is k in n(k) = 0?
-1, -1/2, 0, 2/7
Suppose -2*a - 2*f = -7*f + 17, 0 = 4*a + 2*f - 26. Let c = a + 0. Factor 3*n**2 - n**2 - c*n**2.
-2*n**2
Let n(z) be the third derivative of -z**8/112 + z**7/35 - 36*z**2. Factor n(g).
-3*g**4*(g - 2)
Let z = -67 - -67. Let v(n) be the third derivative of z*n**3 + 0*n + 0*n**4 - n**2 + 0*n**5 + 1/105*n**7 + 0 + 1/60*n**6. Solve v(i) = 0 for i.
-1, 0
Let y(m) be the first derivative of 2*m**3/15 - 2*m**2/5 + 2*m/5 - 2. Factor y(v).
2*(v - 1)**2/5
Let m(j) be the second derivative of 2*j - 1/10*j**4 + 0*j**6 + 0 + 9/100*j**5 - 1/70*j**7 + 0*j**2 + 0*j**3. Factor m(n).
-3*n**2*(n - 1)**2*(n + 2)/5
Let r(i) be the first derivative of -1/20*i**5 + 1 - 2*i**3 - 4*i**2 - 2*i - 1/2*i**4. Let d(o) be the first derivative of r(o). Find a such that d(a) = 0.
-2
Let x be -1*1/(-24)*5. Let n(p) be the third derivative of -x*p**4 + 0 + 0*p + 1/6*p**3 - p**2 + 5/48*p**5. Factor n(a).
(5*a - 2)**2/4
Let d(m) be the second derivative of -m**6/6 - m**5/2 + 2*m - 5. Factor d(f).
-5*f**3*(f + 2)
Suppose -5*z - 11 = -3*l, -3*z + 3*l - 1 = 2. Let m be 1/z + 17/4. Let s - m*s**4 + 2*s**3 - 1 + 5*s**4 - 3*s = 0. Calculate s.
-1, 1
Suppose 2 = 4*t - 5*v - 9, t - 8 = -4*v. Let m(h) be the first derivative of 0*h**3 + 0*h + 0*h**t + 0*h**2 + 2 - 1/10*h**5. Let m(f) = 0. What is f?
0
Let r(s) be the second derivative of -1/6*s**4 + 1/42*s**7 - 6*s + 1/6*s**3 - 1/10*s**5 + 0 + 1/30*s**6 + 1/2*s**2. Let r(h) = 0. What is h?
-1, 1
Factor 9/2 - 1/2*k**3 - 5/2*k**2 - 3/2*k.
-(k - 1)*(k + 3)**2/2
Factor -12 - 6*h + 8*h**2 + 9*h**3 + 7*h**2 - 5*h - h.
3*(h - 1)*(h + 2)*(3*h + 2)
Let r(h) = -4*h + 12. Let g(w) = -w + 4. Let b(z) = -14*g(z) + 4*r(z). Let x be b(-6). Factor -2/3*d**5 + 0*d**2 + 0 + 0*d - d**x - 1/3*d**3.
-d**3*(d + 1)*(2*d + 1)/3
Let j(o) be the first derivative of -o**9/2268 + o**8/420 - o**7/210 + o**6/270 + 8*o**3/3 - 4. Let c(q) be the third derivative of j(q). Factor c(h).
-4*h**2*(h - 1)**3/3
Suppose -5*u + 14 = -5*j - 1, j = -5*u + 27. Factor 0 - 3/2*t**j + 0*t - 3/4*t**3.
-3*t**2*(t + 2)/4
Factor 2*d**3 + 19*d**2 - 9*d**2 - 13*d**2 + d**4.
d**2*(d - 1)*(d + 3)
Let t(c) be the second derivative of c**7/56 + c**6/12 + 3*c**5/20 + c**4/8 + c**3/24 - 6*c. Factor t(j).
j*(j + 1)**3*(3*j + 1)/4
Factor 9/4*y**3 + 0 + y - 3*y**2.
y*(3*y - 2)**2/4
Solve 10*d**3 - 12*d - 8*d**3 + 10*d = 0.
-1, 0, 1
Factor -4/7*z + 0 + 2/7*z**2 - 2/7*z**4 + 4/7*z**3.
-2*z*(z - 2)*(z - 1)*(z + 1)/7
Let 0*n**3 + 8/3*n + 4/3*n**4 + 0 - 4*n**2 = 0. What is n?
-2, 0, 1
Factor q**2 + q**2 - 5*q**2.
-3*q**2
Let w(s) be the second derivative of 7*s**6/50 + 39*s**5/50 + s**4 - 4*s**3/5 - 5*s + 6. Factor w(t).
3*t*(t + 2)**2*(7*t - 2)/5
Let f(c) = -c**5 + c**3 - c**2 - c - 1. Let r(k) = -12*k**5 - k**4 + 12*k**3 - 10*k**2 - 11*k - 11. Let p(h) = -22*f(h) + 2*r(h). Find o, given that p(o) = 0.
-1, 0, 1
Suppose -k = -21*k + 40. Factor -8/3*n**k + 2/3 - 1/3*n - 5/3*n**3.
-(n + 1)**2*(5*n - 2)/3
Solve w**3 - 1/5*w**4 - 2/5 - 9/5*w**2 + 7/5*w = 0.
1, 2
Let n(b) be the first derivative of -2*b**6/21 - 4*b**5/35 + 2*b**4/7 + 8*b**3/21 - 2*b**2/7 - 4*b/7 - 3. Factor n(s).
-4*(s - 1)**2*(s + 1)**3/7
Let c(k) be the second derivative of k**9/3024 + k**8/420 + k**7/280 - k**6/90 - k**5/30 - k**3/2 + k. Let y(m) be the second derivative of c(m). Factor y(u).
u*(u - 1)*(u + 1)*(u + 2)**2
Suppose h - 7*b + 3*b = -18, -20 = -4*b. Factor 0*j**2 - 3 + 2*j**h + 1 - 4*j + 4.
2*(j - 1)**2
Let p(g) be the first derivative of g**4/24 + g**3/6 + g**2/4 - 2*g + 3. Let l(a) be the first derivative of p(a). Suppose l(k) = 0. Calculate k.
-1
Factor 3/7*s**3 - 3/7 - 3/7*s + 3/7*s**2.
3*(s - 1)*(s + 1)**2/7
Let o(m) = -m**3 - m + 27. Let q be o(0). Let n be (-3)/12 - q/(-12). Let -6/5*z + 2/5 + 6/5*z**n - 2/5*z**3 = 0. Calculate z.
1
Let p(t) = t - 5. Let j be p(12). Let r be -1 + j/((-14)/(-8)). Factor 0 + 1/3*v**r + 0*v - 1/3*v**5 + 1/3*v**2 - 1/3*v**4.
-v**2*(v - 1)*(v + 1)**2/3
Solve -25*b**2 + 132 - 74 - 78 - 5*b**3 - 40*b = 0 for b.
-2, -1
Find k, given that -15*k**2 - 21*k**3 - k + 9*k - 3*k + k = 0.
-1, 0, 2/7
Let f(h) be the third derivative of -h**8/112 - 6*h**7/175 - 9*h**6/200 - h**5/50 - 10*h**2. Suppose f(g) = 