*i**2 + x - 4*i**2 - 7 + 3*i + 4*i**2.
3*(i - 1)*(i + 2)
Let k = 1109/20 + -221/4. Suppose 2*a = 5 + 1. Suppose k*m + 0 + 1/5*m**a + 2/5*m**2 = 0. Calculate m.
-1, 0
Suppose 6*o - 1 = 17. Let d(v) be the first derivative of 0*v**o - 2 - 1/3*v**2 + 1/15*v**5 + 1/6*v**4 - 1/3*v. Factor d(l).
(l - 1)*(l + 1)**3/3
Let p(l) be the first derivative of -2*l**3/3 - l**2 + l - 3. Let w(u) = -3*u**2 - 4*u + 2. Let d be ((-6)/9)/(2/(-9)). Let s(i) = d*w(i) - 5*p(i). Factor s(r).
(r - 1)**2
Suppose -d + 1 = -2. What is j in 2*j**3 + 6*j**4 - 5*j**d + 4*j**3 + 3*j**5 + 2*j**3 = 0?
-1, 0
Let h = -133 + 138. Let f(a) be the second derivative of 3*a + 1/110*a**h + 0*a**3 + 0 + 0*a**2 - 1/66*a**4. Suppose f(x) = 0. What is x?
0, 1
Let u = 4886645/153 + -31939. Let q = 4/51 - u. Find l such that 2/9*l**2 + q + 4/9*l = 0.
-1
Let l(q) = -4 - 2*q - 4 + 4*q**2 + 15 + 3*q. Let c(d) = -d**2 + d - 1. Suppose -2*w - 2 = -w. Let u(t) = w*l(t) - 6*c(t). Factor u(o).
-2*(o + 2)**2
Solve 0*l**3 + 1/5 + 0*l + 1/5*l**4 - 2/5*l**2 = 0 for l.
-1, 1
Suppose 0 = 10*t - 20. Factor u**t + 2/3*u - 1/3*u**4 + 0 + 0*u**3.
-u*(u - 2)*(u + 1)**2/3
Determine o, given that -726/5*o - 2662/5 - 2/5*o**3 - 66/5*o**2 = 0.
-11
Let t(l) = 5*l**3 + 7*l**2 + 2*l. Let d(m) = 2*m**3 + 3*m**2 + m. Let c(h) = 14*d(h) - 6*t(h). Solve c(f) = 0.
-1, 0, 1
Let h = -1 - -7. Suppose -5*j + 2*j + h = 0. Find c, given that -1 + 2*c + 0 - 3 + j*c**2 = 0.
-2, 1
Factor 32 + 44*r**2 + 49*r - 134*r - 33*r - 66*r.
4*(r - 4)*(11*r - 2)
Let w(z) be the first derivative of z**3 - 3*z**2 - 9*z + 4. Factor w(y).
3*(y - 3)*(y + 1)
Let l(f) = -6*f**2 + 7*f - 7. Let o(n) = 36*n - 34 - 10 - 30*n**2 + 10. Let t(x) = -14*l(x) + 3*o(x). Find d such that t(d) = 0.
2/3, 1
Let v(g) be the second derivative of g**5/110 - 7*g**4/66 - 17*g**3/33 - 9*g**2/11 + 34*g. Let v(d) = 0. What is d?
-1, 9
Let -15/2*u - 35/4 + 5/4*u**2 = 0. What is u?
-1, 7
Suppose 0*b + 3 = -b. Let s be (-12)/9 + -1 - b. What is r in 0*r**3 + 0 + 0*r - 2/3*r**2 + s*r**4 = 0?
-1, 0, 1
Let d be 3 - (5 - 0 - 2). Let b(f) be the second derivative of -1/20*f**5 + 0 - 1/12*f**4 - f + 0*f**3 + d*f**2. Factor b(r).
-r**2*(r + 1)
Let c(j) = j**2 - 3*j - 7. Let w(f) = -7*f - 23 - 6 - 4*f - 3*f**2 + 8*f**2. Let s(q) = 26*c(q) - 6*w(q). Suppose s(a) = 0. Calculate a.
-2, -1
Suppose -2 = 4*c - 5*c. Suppose v = -0*v + c. Factor 2 - v*u**3 - 4*u**2 + 8*u**4 + 0*u + 5*u**5 - 6*u**2 - 2*u**3 - u.
(u - 1)*(u + 1)**3*(5*u - 2)
Suppose 5*k + 0*k - 2*m + 4 = 0, -5*k - m + 2 = 0. Suppose k*h - 5*h = 0. Determine a, given that 1/3*a**3 + 1/3*a + h + 2/3*a**2 = 0.
-1, 0
Suppose 2*v - 4*v = 0. Let y(p) = -p**2 - p + 4. Let z be y(v). Factor 4*n + 6*n**2 + 3*n - z*n + 3*n**3.
3*n*(n + 1)**2
Let r(b) be the third derivative of -2*b**7/105 + b**6/10 - b**5/5 + b**4/6 + 14*b**2. Suppose r(f) = 0. What is f?
0, 1
Suppose -2*n - 12 = -5*n. Let s be 6/(-40) + n/10. Factor -1/4*p**3 + s*p**4 + 0 + 1/4*p - 1/4*p**2.
p*(p - 1)**2*(p + 1)/4
Let h(v) be the second derivative of -v**4/18 - v**3/3 - 2*v**2/3 - 27*v. Factor h(w).
-2*(w + 1)*(w + 2)/3
Suppose -11*h + 9 + 35 = 0. Let p(q) be the second derivative of -h*q + 2/33*q**3 + 0 - 1/11*q**2 - 1/66*q**4. Factor p(t).
-2*(t - 1)**2/11
Let x(v) = -8*v**5 - 50*v**4 - 14*v**3 + 8*v**2 + 10. Let r(f) = -f**5 - f**3 - 1. Let a(j) = -10*r(j) - x(j). Suppose a(m) = 0. Calculate m.
-2, -1, 0, 2/9
Let z(j) be the first derivative of -2/3*j**6 - 5*j**4 - 16/5*j**5 + 0*j**2 + 0*j - 8/3*j**3 - 6. Factor z(y).
-4*y**2*(y + 1)**2*(y + 2)
Let m be (160/4)/4 - 4. Let h(i) be the second derivative of -i**2 + 0*i**3 - 1/15*i**m + 0*i**5 + 1/3*i**4 + 0 - 2*i. Solve h(w) = 0 for w.
-1, 1
Find g, given that 2/3 + 4/3*g**3 + 1/3*g**5 + 2/3*g**2 - 5/3*g - 4/3*g**4 = 0.
-1, 1, 2
Let n(p) = 3*p**5 + 6*p**4 + 4*p**3 - 2*p**2 + 5*p. Let x(l) = 2*l**5 + 5*l**4 + 3*l**3 - 2*l**2 + 4*l. Let v(q) = -3*n(q) + 4*x(q). Factor v(w).
-w*(w - 1)**3*(w + 1)
Let t(g) be the third derivative of -g**8/42 - 2*g**7/21 - g**6/10 + g**5/15 + g**4/6 - g**2. Find o such that t(o) = 0.
-1, 0, 1/2
Let q be (-2)/(3 - 15/6). Let i be ((-32)/6)/q + 1. Factor -i*d**2 + d**3 - 1/3 + 5/3*d.
(d - 1)**2*(3*d - 1)/3
Factor 6/5*i + 0*i**2 - 4/5 - 2/5*i**3.
-2*(i - 1)**2*(i + 2)/5
Factor -150*g - g**3 + 150*g + 4*g**5 - 3*g**4.
g**3*(g - 1)*(4*g + 1)
Let x = -3 + 6. Factor 0*o - o**2 + 3*o - x*o.
-o**2
Let w(s) be the second derivative of 0*s**2 + 1/3*s**3 + s + 1/480*s**5 - 1/480*s**6 + 1/48*s**4 + 0. Let y(r) be the second derivative of w(r). Factor y(z).
-(z - 1)*(3*z + 2)/4
Suppose 5*r = 3*r - 3*v + 1, r = -2*v. Let c be (-2)/3*(5 - 11). Factor 3*f - 3*f**2 + 2*f**2 + c*f**r.
3*f*(f + 1)
Let x(r) = -6*r**3 + 59*r**2 - 162*r + 162. Let h(p) = 3*p**3 - 29*p**2 + 81*p - 81. Let o(k) = 5*h(k) + 2*x(k). Factor o(b).
3*(b - 3)**3
Solve -5*a**2 - 28*a - 13*a**2 + 6*a**2 - 8 = 0.
-2, -1/3
Let x(b) be the third derivative of b**7/210 + b**6/60 - b**4/12 - b**3/6 - 6*b**2. What is p in x(p) = 0?
-1, 1
Let c be (4/(-12))/((-1)/9). Let r = 0 + c. Factor -2 + r + 4*q - q**2 - 2*q - 2*q**3.
-(q - 1)*(q + 1)*(2*q + 1)
Suppose 2*u - 6 = -3*s, s = 4*u - 0*s + 2. Determine d so that -d**2 - 2/5*d**3 + u - 2/5*d = 0.
-2, -1/2, 0
Find j, given that 2*j**2 + 2*j**3 - 9*j + 1 + 5*j - 1 = 0.
-2, 0, 1
Let u = 80 - 46. Solve -36*y**3 - 14*y - 11*y**4 + 10*y**3 - 8*y**3 - 2 - y**4 - u*y**2 = 0 for y.
-1, -1/2, -1/3
Let k(t) be the first derivative of 2*t + 2*t**2 + 2/3*t**3 + 2. Factor k(j).
2*(j + 1)**2
Let y(x) be the second derivative of x**4/4 - x**3 + 26*x. Determine b so that y(b) = 0.
0, 2
Let d = 1 - 1. Suppose 3*c = -d*c + 15. Factor 2*w + c*w**2 - 3*w**2 + 1 - w**2.
(w + 1)**2
Suppose 12 + 5*m**2 - 6*m - 3 - 4*m**2 + 0*m**2 = 0. Calculate m.
3
Let q = -457 + 457. Find i, given that 2/7*i**2 - 4/7*i**3 + 0*i + q + 2/7*i**4 = 0.
0, 1
Let s(y) be the second derivative of -y**7/840 + y**6/240 - y**4/12 + 3*y. Let a(l) be the third derivative of s(l). Let a(q) = 0. Calculate q.
0, 1
Suppose 2*k = 2*a - 4, 0 = a + 4*k - 6*k - 4. Let c(i) be the third derivative of -1/150*i**5 - 2*i**2 + 0*i + 0*i**3 + 0 + a*i**4. Factor c(l).
-2*l**2/5
Suppose 5*h - 12 - 13 = 0. Let w(j) be the third derivative of 1/48*j**4 + 0 - 1/240*j**h + 0*j - 1/24*j**3 - j**2. Find s such that w(s) = 0.
1
Let i(r) = r**3 + 4*r**2 + 4*r + 3. Let s be i(-2). Factor 2/11*d**5 + 2/11*d**2 + 0 - 2/11*d**4 - 2/11*d**s + 0*d.
2*d**2*(d - 1)**2*(d + 1)/11
Let s be (5/10*0)/(-3). Factor -1/4*p**3 + 0*p - 1/4*p**2 + s.
-p**2*(p + 1)/4
Suppose 5 - t**2 + 3*t**2 - 7 = 0. Calculate t.
-1, 1
Let t = 116 + -114. Factor 0 + 7/4*m**4 - 19/4*m**3 + 2*m**t + m.
m*(m - 2)*(m - 1)*(7*m + 2)/4
Let b(y) be the second derivative of -y**4/54 - 4*y**3/27 - 4*y**2/9 - y. Solve b(j) = 0.
-2
Let l(o) be the third derivative of 11*o**5/12 + 5*o**4/12 - 9*o**2. Factor l(s).
5*s*(11*s + 2)
Factor -8 + 4*f**4 + 188*f**2 - 12*f**3 - 184*f**2 + 8*f + 4*f.
4*(f - 2)*(f - 1)**2*(f + 1)
Let d = -6/5 + 29/20. Find s, given that -1/4*s**3 + 0*s + 0 - d*s**2 = 0.
-1, 0
Let f(q) be the second derivative of 11*q**6/240 - q**5/60 + 4*q**2 - 4*q. Let y(z) be the first derivative of f(z). Factor y(c).
c**2*(11*c - 2)/2
Let m be (4/42)/(156/91). Let k(u) be the second derivative of m*u**4 + 0*u**3 - 1/3*u**2 + 0 - u. Let k(g) = 0. What is g?
-1, 1
Suppose 81/2*j**5 + 0*j + 2*j**3 + 0*j**2 + 0 + 18*j**4 = 0. What is j?
-2/9, 0
Let c = -1954/5 + 392. Factor -c - 3/5*r**2 - 9/5*r.
-3*(r + 1)*(r + 2)/5
Find i, given that -18/5*i**2 + 24/5*i + 0 + 3/5*i**3 = 0.
0, 2, 4
Let b(n) = n**4 - n**3 + n**2 - 1. Let r(y) = -2*y**4 + 6*y**3 - 4*y**2 + 4. Let x(k) = -4*b(k) - r(k). Factor x(z).
-2*z**3*(z + 1)
Find y, given that 8/7*y**4 + 24/7*y**3 + 0 + 32/7*y**2 + 1/7*y**5 + 16/7*y = 0.
-2, 0
Let t(f) be the second derivative of -2*f**7/21 + f**6/15 + 3*f**5/10 - f**4/6 - f**3/3 + 28*f. Determine v so that t(v) = 0.
-1, -1/2, 0, 1
Factor 0*l**2 + 0 + 0*l**4 + 1/2*l**5 + 0*l - 1/2*l**3.
l**3*(l - 1)*(l + 1)/2
Let h be (32 - 39)/((-14)/4) + 1. What is l in 3/7*l**h + 3/7*l**2 - 3/7*l - 3/7 = 0?
-1, 1
Suppose 4*i = 4*m - 16, -2*m - 2*i + 8 = -i. Factor 0*c**3 - c**3 + c**5 - 3*c**m - c**2 + 4*c**4.
c**2*(c - 1)*(c + 1)**2
Let l(a) = a**3 + 4*a**2 - 5*a + 6. Let o be l(-5). Suppose -6*m**3 - 36*m**2 - 9*m