ctor u(t).
-(t - 2)**3*(t - 1)/3
Let 7 - 5*y**2 + 11*y + 0*y**2 + 4*y - 17 = 0. What is y?
1, 2
Let i = 67 - 65. Factor 6/5*s**i + 3/5*s + 3/5*s**3 + 0.
3*s*(s + 1)**2/5
Let 4*r**3 - 8*r**2 + 8*r**2 - 4*r**4 + 0*r**4 = 0. Calculate r.
0, 1
Let r(q) be the second derivative of 1/20*q**5 + 1/24*q**3 + 0*q**2 - 3*q + 1/12*q**4 + 0. Factor r(l).
l*(2*l + 1)**2/4
Factor -2/9*u**2 + 8/9 - 16/9*u + 4/9*u**3.
2*(u - 2)*(u + 2)*(2*u - 1)/9
Let t(j) = 12*j**3 + 9*j**2 - 3. Let z(g) = g**4 + 35*g**3 + 27*g**2 + g - 8. Let b(i) = -8*t(i) + 3*z(i). Let b(c) = 0. What is c?
-1, 0
Let r = -1 - -5. Let c be r*-1*(-4)/8. Factor -6*p**3 + p - 2 + 8*p**2 + c*p**4 + 5*p + 3 - 11*p**4.
-(p - 1)*(p + 1)*(3*p + 1)**2
Suppose -5*k + 0 + 5 = -n, 0 = -3*k + 3. Let d(y) be the second derivative of -y + n*y**2 + 0*y**3 + 0 - 1/48*y**4. Factor d(i).
-i**2/4
Let h(a) be the third derivative of -a**6/360 + a**4/24 - a**3/9 - 6*a**2. Find v such that h(v) = 0.
-2, 1
Suppose 9*r - 4*r - 2*g = 10, 2*g = -2*r + 4. Suppose -6*i + r*i**3 - 3*i + 6 + i**3 = 0. Calculate i.
-2, 1
Let i(g) be the third derivative of -1/40*g**4 + 0*g - 1/300*g**5 - g**2 + 0 - 1/15*g**3. Factor i(m).
-(m + 1)*(m + 2)/5
Let v(u) be the first derivative of -u**6/360 - u**5/60 - u**4/24 - 4*u**3/3 + 3. Let y(t) be the third derivative of v(t). Factor y(z).
-(z + 1)**2
Let r(t) = -15*t**5 + 7*t**4 - 11*t**3 - 11*t + 11. Let i(d) = -8*d**5 + 4*d**4 - 6*d**3 - 6*d + 6. Let s(h) = -11*i(h) + 6*r(h). Factor s(q).
-2*q**4*(q + 1)
Let q(y) be the third derivative of y**7/1400 - y**5/200 - 2*y**3/3 + 3*y**2. Let o(g) be the first derivative of q(g). Factor o(n).
3*n*(n - 1)*(n + 1)/5
Factor -50*t + 6*t**2 - t**2 + 55*t - 10.
5*(t - 1)*(t + 2)
Let h be 1/((-27)/15 - -2). Let p(g) be the first derivative of 0*g - 1/4*g**3 - 1/8*g**2 + 1 - 1/20*g**h - 3/16*g**4. What is w in p(w) = 0?
-1, 0
Let m = 5 - 22. Let j(s) = -s**3 - 3*s - 4. Let i(c) = -3*c**3 - 8*c - 11. Let p(b) = m*j(b) + 6*i(b). Factor p(k).
-(k - 2)*(k + 1)**2
Let g(o) be the second derivative of -o**7/231 + o**6/55 - 3*o**5/110 + o**4/66 - o. Factor g(k).
-2*k**2*(k - 1)**3/11
Let o = 22 + -11. Suppose -15 = -16*n + o*n. Factor 2/3*h + 2/3*h**2 + 2/9 + 2/9*h**n.
2*(h + 1)**3/9
Let q(v) be the first derivative of 0*v**2 + 0*v - v**5 - 1/2*v**4 + 0*v**3 - 2. Factor q(i).
-i**3*(5*i + 2)
Let r(n) be the third derivative of -n**7/350 + n**6/100 + n**5/25 - n**4/20 - 3*n**3/10 - 8*n**2. Suppose r(o) = 0. What is o?
-1, 1, 3
Let h(t) be the second derivative of -t**4/90 - 4*t**3/45 - 4*t**2/15 + 7*t. Find o, given that h(o) = 0.
-2
Let -12/7*u - 3/7*u**2 + 0 = 0. Calculate u.
-4, 0
Let t(j) = 12*j**3 - 11*j**2 - 5*j + 2. Let o(a) = -a**2 + 2 + 13*a - 14*a - 1 + 0*a**2. Let q(s) = -2*o(s) + t(s). Factor q(w).
3*w*(w - 1)*(4*w + 1)
Suppose -2*s - 5*q + 3 = -26, 5*s - 30 = -4*q. Find a such that -2*a - 2 - 1/2*a**s = 0.
-2
Let b(x) be the second derivative of x**7/42 - x**6/15 + x**4/6 - x**3/6 - x. Let b(s) = 0. What is s?
-1, 0, 1
Let q(c) be the second derivative of 1/24*c**4 - 4*c + 1/8*c**2 - 1/8*c**3 + 1/168*c**7 - 1/40*c**6 + 1/40*c**5 + 0. Determine d so that q(d) = 0.
-1, 1
Let o(d) = d**4 - d**3 - d + 1. Let y(g) = g**5 - 5*g**4 + 4*g**3 + 2*g - 2. Let f(a) = -6*o(a) - 3*y(a). Suppose f(p) = 0. Calculate p.
0, 1, 2
Let g = -6 + 5. Let r = 1 - g. Let 4/9 + 2/9*b - 2/3*b**r = 0. What is b?
-2/3, 1
Let g(t) = 2*t - 3. Let p = -2 - -4. Let x be g(p). What is k in 2*k - 2*k**3 + 2*k**4 - x + 0*k - 6*k**2 + 5 = 0?
-1, 1, 2
Let c(j) be the first derivative of -j**7/231 + j**6/165 + 3*j**5/110 - 5*j**4/66 + 2*j**3/33 - 8*j - 5. Let t(n) be the first derivative of c(n). Factor t(a).
-2*a*(a - 1)**3*(a + 2)/11
Let x be (-14)/49 - 38/14. Let f be x/(2*3/(-6)). Factor -3*h**2 + h**2 + f*h**2 - h**3.
-h**2*(h - 1)
Let r = -276 - -276. Determine l, given that 2/7*l**3 + 4/7*l**4 + 0*l + 0*l**2 + 2/7*l**5 + r = 0.
-1, 0
Let y(m) = 4*m**3 - m**2 + 2*m - 2. Let q(o) = 5*o**3 + o - 2. Let x(u) = 3*q(u) - 4*y(u). Factor x(b).
-(b - 2)*(b - 1)**2
Suppose 3*p - 5 = -x - 0*x, x + 3 = 5*p. Suppose -x*l - 3 = -3*l. Find k, given that -2*k**l - 6*k + 6*k + 2*k**2 + 0*k**3 = 0.
0, 1
Suppose -3*x + 4*k - 24 = 0, k - 4 + 28 = -3*x. Let p = x + 10. Factor -16/3*j**5 + 40/3*j**4 - 1/3*j + 10/3*j**p + 0 - 11*j**3.
-j*(j - 1)**2*(4*j - 1)**2/3
Let a = -18 - -18. Factor 0 + a*y**2 + 0*y + 1/3*y**3 - 1/3*y**4.
-y**3*(y - 1)/3
Suppose 0 = 2*f - 3*f + 5. What is x in x**3 - x**4 + x**2 - 2*x**5 + 4*x**f - 3*x**5 = 0?
-1, 0, 1
Suppose -s + 1 = -q - 5, -4*q = 12. Find i such that 2/3*i**s + 0*i + 0 + 4/3*i**2 = 0.
-2, 0
Let v = 0 - -3. Factor -2*s**2 - 6 + 4*s + v + 3 - 2.
-2*(s - 1)**2
Let k(d) be the first derivative of d**3/3 + 2*d**2 + 3*d - 5. Solve k(g) = 0 for g.
-3, -1
Factor -2*i + 1/4*i**4 - 1/4*i**5 - 1/4*i**2 + 5/4*i**3 - 1.
-(i - 2)**2*(i + 1)**3/4
Let z = 162 + -159. Let c(s) be the second derivative of 1/15*s**6 + 0 - s + 0*s**5 - 1/6*s**4 + 0*s**2 + 0*s**z. Factor c(j).
2*j**2*(j - 1)*(j + 1)
Let n(y) be the first derivative of 2 - 2/21*y**3 + 2/7*y**2 + 0*y - 3/14*y**4. Find l, given that n(l) = 0.
-1, 0, 2/3
Suppose -5*p + 24 = -1. Let d(o) be the second derivative of -2*o + 0*o**2 + 1/105*o**6 + 0*o**3 + 1/147*o**7 - 1/70*o**p + 0 - 1/42*o**4. Factor d(i).
2*i**2*(i - 1)*(i + 1)**2/7
Suppose -45 = 2*c - 255. Let l = -417/4 + c. Factor 1/4*u**3 + 0 + 3/4*u**2 + 1/4*u**5 - 1/2*u - l*u**4.
u*(u - 2)*(u - 1)**2*(u + 1)/4
Let x = -3 + 4. Let y = x + 0. Let -y - i**2 - 2*i + 2*i**2 - 1 + i = 0. Calculate i.
-1, 2
Let k(l) be the second derivative of l**7/252 + l**6/180 - l**5/120 - l**4/72 + 8*l. Suppose k(q) = 0. Calculate q.
-1, 0, 1
Let l(r) be the first derivative of 0*r + 1/15*r**3 + 0*r**2 - 1. Suppose l(s) = 0. Calculate s.
0
Let m(d) = -d - 2. Let o be m(-3). Let a be o - (4/(-6))/2. Let -a*j**4 + 0 + 0*j**2 + 2/3*j**5 + 2/3*j**3 + 0*j = 0. Calculate j.
0, 1
Factor -3*t + 7/4*t**2 - 1.
(t - 2)*(7*t + 2)/4
Let j(s) be the second derivative of -7*s**5/50 - 3*s**4/10 - 2*s**3/15 + 18*s. Determine m, given that j(m) = 0.
-1, -2/7, 0
Let d be 4 + -2 + 16 + 2. Suppose -5*m = -0*u - 2*u - 25, 5*m = u + d. Factor -2*l**3 + 2*l**3 + l**m.
l**3
Factor -6 - 2*q**2 - 6*q - 1 + 3.
-2*(q + 1)*(q + 2)
Let y(b) be the second derivative of b**7/2100 + b**6/300 + b**5/150 + 2*b**3/3 + 2*b. Let r(p) be the second derivative of y(p). Solve r(l) = 0 for l.
-2, -1, 0
Let x(w) be the third derivative of w**6/30 - 11*w**5/15 + 35*w**4/6 - 50*w**3/3 - 2*w**2. Factor x(p).
4*(p - 5)**2*(p - 1)
Let f(y) be the second derivative of y**4/12 + y**3/3 + y**2/2 + 6*y. Solve f(l) = 0 for l.
-1
Let p be (-1 + 2)*(0/3 + 5). Let x(o) be the second derivative of 0*o**2 + 0*o**3 + 1/10*o**p + 0 + 4*o + 1/6*o**4. Determine w, given that x(w) = 0.
-1, 0
Suppose 14*g + 8 = 16*g. Factor -15/4*z**2 - 3/4*z**g + 11/4*z**3 + 9/4*z - 1/2.
-(z - 1)**3*(3*z - 2)/4
Determine t so that 2/5*t**2 + 2/5*t**4 + 6/5*t - 6/5*t**3 - 4/5 = 0.
-1, 1, 2
Let g(c) = 4*c**3 - c**2 + 5*c + 1. Let k(d) = 5*d**3 + 5*d + 2. Let p(n) = 4*g(n) - 3*k(n). Factor p(q).
(q - 2)*(q - 1)**2
Let t(z) be the third derivative of 7*z**8/120 + z**7/6 - z**6/60 - z**5/3 + z**4/3 - z**3/2 - z**2. Let q(l) be the first derivative of t(l). Factor q(p).
2*(p + 1)**2*(7*p - 2)**2
Suppose -4*y + 13 = -5*i, -2*y = -7*i + 4*i - 9. Let z = -1 - y. Solve -1/2 - 3*l**2 - 1/2*l**4 + 2*l**3 + z*l = 0.
1
Let s(p) = p - 4. Let b be s(7). What is t in -t**2 + b*t**2 + 2 - 4*t + 8*t = 0?
-1
What is z in 18*z**4 + 3 + 9*z**4 - 21*z - 6*z**2 + 221*z**3 + 9*z - 185*z**3 = 0?
-1, 1/3
Factor 811*r - 5*r**4 - 801*r + r**2 - 15*r**3 + 5*r**5 + 4*r**2.
5*r*(r - 2)*(r - 1)*(r + 1)**2
Suppose 0 = -3*o + 4*o. Let g(c) be the third derivative of 0*c**5 + 0*c**4 + 0*c - 2*c**2 + 1/180*c**6 + o + 0*c**3. Determine r so that g(r) = 0.
0
Let r(d) = d**3 + 3*d**2 - 2*d - 4. Let c be r(-3). Suppose 6*w - c*w = 0. Factor -5/4*y**3 + w*y - 1/4*y**2 - 2*y**4 + 0 - y**5.
-y**2*(y + 1)*(2*y + 1)**2/4
Let w(r) = -80*r**3 + 135*r**2 - 55*r + 55. Let z(v) = -3*v**3 + 5*v**2 - 2*v + 2. Let m(j) = 2*w(j) - 55*z(j). Suppose m(t) = 0. Calculate t.
0, 1
Let g = -205/846 - -14/47. Let z(w) be the second derivative of 0 - 2/9*w**3 + 0*w**2 + g*w**4 + w. Factor z(c).
2*c*(c - 2)/3
Let k(q) 