pose w = -2 + 5. Factor -2*t**2 + t + t**w + 3*t**2 + t**2.
t*(t + 1)**2
What is y in -3/2*y**2 + 0 + 3/2*y**4 + 3/4*y - 3/4*y**5 + 0*y**3 = 0?
-1, 0, 1
Let r(m) be the second derivative of m**4/30 - 2*m**3/15 + m**2/5 - 3*m. Suppose r(n) = 0. What is n?
1
Let p = -34 - -36. Factor 10/7*k**p + 8/7 - 24/7*k.
2*(k - 2)*(5*k - 2)/7
Let q be ((-12)/5 + 2)/(2/(-20)). Let x(t) be the third derivative of 1/20*t**6 + 0*t**3 + 1/8*t**q + 3/20*t**5 + 0 + 0*t + 2*t**2. Factor x(i).
3*i*(i + 1)*(2*i + 1)
Let r be (-28 + -2)*2/(-6). Let f = -8 + r. Factor -3 + 7*q**3 + 7*q**2 + 1 + 3*q + 5*q**f.
(q + 1)**2*(7*q - 2)
Let x(m) = -4*m**3 - 3*m**2 - 5*m. Let t(n) = 3*n**3 + 3*n**2 + 4*n. Suppose -6 = -2*b - 0. Let h(q) = b*t(q) + 2*x(q). Factor h(r).
r*(r + 1)*(r + 2)
Let v = -20 - -25. Let y(s) be the second derivative of 0*s**2 + 0*s**3 + 1/6*s**4 + 1/20*s**v + 0 + 2*s. Factor y(n).
n**2*(n + 2)
Factor -361/4*r**2 + 19*r - 1.
-(19*r - 2)**2/4
Let b be (-5)/(-15)*6/(-137). Let p = 260/959 - b. Factor 0 + p*z + 2/7*z**3 + 4/7*z**2.
2*z*(z + 1)**2/7
Let j(f) be the first derivative of -3/2*f**2 - 1/2*f**6 + 0*f + 0*f**3 + 0*f**5 + 7 + 3/2*f**4. Find w, given that j(w) = 0.
-1, 0, 1
Let o(w) = -7*w**3 - 2*w**2 - 2*w - 1. Let u be o(-1). Factor 4*k**3 - 4*k + u*k**2 + 8 - 5*k**2 - 9*k**2.
4*(k - 2)*(k - 1)*(k + 1)
Let g(y) be the third derivative of y**5/420 - y**3/42 + 3*y**2. Let g(z) = 0. What is z?
-1, 1
Suppose -4*x = -8*x. Let y(i) be the third derivative of 0*i**4 + 0 + x*i - 1/210*i**5 + 1/21*i**3 - 2*i**2. Factor y(t).
-2*(t - 1)*(t + 1)/7
Let i(n) be the third derivative of -n**7/420 - n**6/720 + n**5/120 + n**4/144 + n**2. Factor i(r).
-r*(r - 1)*(r + 1)*(3*r + 1)/6
Let a(q) be the first derivative of 0*q - 1/3*q**3 - 1/4*q**4 + 1/6*q**6 + 3 + 1/5*q**5 + 0*q**2. Solve a(n) = 0.
-1, 0, 1
Let t(p) = 15*p**4 + 35*p**3 + 25*p**2. Let a(h) = -h**5 - h**4 + h**3 + h**2 - h. Let r(w) = 5*a(w) - t(w). Determine d, given that r(d) = 0.
-1, 0
Suppose 2*b + 1 = -2*z - 3, 4*z - 13 = -b. Let u be (b/3 - -1)*-3. Factor -s**2 + 1/2*s + 0 + s**u - 1/2*s**5 + 0*s**3.
-s*(s - 1)**3*(s + 1)/2
Factor -9*k**2 + 13*k**2 - 6*k + 2*k.
4*k*(k - 1)
Let o(q) be the first derivative of 4*q**5/5 + 4*q**4 + 4*q**3 - 70. Let o(y) = 0. Calculate y.
-3, -1, 0
Factor 2*m**2 + m**2 - 5 - 8*m**2 - 10*m.
-5*(m + 1)**2
Suppose -2 + 5 = 3*n. Let g(z) = -z + 1. Let c be g(n). Determine u so that -1/5*u**2 + 1/5*u**4 + c*u + 0 + 0*u**3 = 0.
-1, 0, 1
Let k(v) be the first derivative of v**4/12 - 2*v**3/3 + 2*v**2 - 2*v + 1. Let i(u) be the first derivative of k(u). Factor i(o).
(o - 2)**2
Determine l so that -57*l**4 - 4*l + 7 + 21*l**5 + 45*l**3 - 2*l - 3*l**2 - 7 = 0.
-2/7, 0, 1
Suppose 5*b - 56 = -2*n, -37 = -5*b - 4*n + 15. Let z(s) = s**3 - 13*s**2 + 12*s + 2. Let y be z(b). Let 0*p + 0*p**3 - p**y + 1/2*p**4 + 1/2 = 0. Calculate p.
-1, 1
Let h be 1 + 1 - 40/(-4). Let r be (-9)/(-6)*16/h. Suppose -3/4*z**r + 1 - 1/4*z**3 + 0*z = 0. What is z?
-2, 1
Let b be (-6)/(-21) - (-23)/(-7). Let p be (b - -4)/(1/2). Factor p*a**4 - a + 5 - 2 - 1 - 4*a**3 + 2*a**5 - 4*a**2 + 3*a.
2*(a - 1)**2*(a + 1)**3
Solve h**4 + 4*h**2 - h**3 - 5*h**2 + 3 + h**5 - 3 = 0.
-1, 0, 1
Let j be 3/30*(-1 - (-98)/8). Let h(v) be the first derivative of -3 - 5/12*v**6 - 1/3*v**3 + 0*v**2 - j*v**4 + 0*v - 6/5*v**5. Suppose h(o) = 0. What is o?
-1, -2/5, 0
Let v = -10 + 12. Find u such that 6*u**2 - 5 - v*u**2 + 5 - 4 = 0.
-1, 1
Suppose -42 = -525*a + 511*a. Find f, given that -2/5*f**5 - 2/5*f + 0*f**4 + 0*f**2 + 0 + 4/5*f**a = 0.
-1, 0, 1
Solve 8 + 14*x**2 - 4*x - 27*x - x = 0.
2/7, 2
Let -p**3 - 2/3 + 1/3*p**2 + 1/3*p**4 + p = 0. What is p?
-1, 1, 2
Let q = -24/113 - -860/1921. Determine a so that -6/17*a - q - 2/17*a**2 = 0.
-2, -1
Suppose 0 = d + 3*o + 16 - 42, 5*d - 5*o - 50 = 0. Let m be 7/d*(-2 + 2). Factor 0*s - 16/5*s**4 + m + 6/5*s**5 + 14/5*s**3 - 4/5*s**2.
2*s**2*(s - 1)**2*(3*s - 2)/5
Let j(u) = -5*u + 25. Let m be j(5). Let g = -2 - -4. Factor -7*q - 2*q**2 + 2*q**4 + g*q**3 + m*q**2 + 5*q.
2*q*(q - 1)*(q + 1)**2
Let q(j) = j**3 + 16*j**2 + 12*j - 42. Let f be q(-15). Determine k so that k - 1/2*k**2 - 1/2*k**f + 0 = 0.
-2, 0, 1
Let z be ((-2)/5)/((-8)/30). Let k = z - 1. Factor 1/2*o**3 - 1/2*o**2 + 1/2 - k*o.
(o - 1)**2*(o + 1)/2
Let t(c) be the first derivative of 0*c**2 + 2 - c + 0*c**4 + 2/3*c**3 - 1/5*c**5. Factor t(u).
-(u - 1)**2*(u + 1)**2
What is y in -8*y - 2*y**3 - 52*y**2 - 274 - 208*y + 16*y**2 - 158 = 0?
-6
Let p(b) be the third derivative of 0*b + 1/180*b**5 - 1/18*b**3 + 3*b**2 + 0*b**4 + 0. What is x in p(x) = 0?
-1, 1
Solve -624*g + 16 + 4753*g**2 + 16 - 8788*g**3 - 697*g**2 = 0.
2/13
Let i(y) = -11*y - 74. Let z be i(-7). Factor 2/5*m**z + 0*m + 0 + 0*m**2.
2*m**3/5
Let j(v) be the third derivative of -5*v**2 + 1/8*v**4 - 1/120*v**6 + 0*v + 1/3*v**3 + 0*v**5 + 0. Factor j(n).
-(n - 2)*(n + 1)**2
Let a(v) be the second derivative of v**4/12 - v**3/3 + v**2/2 + 6*v. Factor a(g).
(g - 1)**2
Solve -1/3*k**3 - 8/3*k**2 + 4*k + 0 + 1/3*k**4 = 0 for k.
-3, 0, 2
Factor 2*l - l - 8 + 36*l**2 - 29*l.
4*(l - 1)*(9*l + 2)
Find h such that 0 - 1/6*h**4 + 0*h**3 + 2/3*h**2 + 0*h = 0.
-2, 0, 2
Let q(l) be the second derivative of -7*l + 0 + 0*l**2 + l**3 - 1/6*l**4. Factor q(f).
-2*f*(f - 3)
Let k(x) be the first derivative of -2*x**3 + x**2/2 + 13*x - 28. Let l be 13*(-2)/((-4)/6). Let g(a) = -a**2 + 2. Let s(o) = l*g(o) - 6*k(o). Factor s(p).
-3*p*(p + 2)
Let l(p) be the first derivative of -4*p**5/25 + 2*p**4 - 52*p**3/15 - 24*p**2 - 144*p/5 + 22. Find b, given that l(b) = 0.
-1, 6
Let a = -39 - -16. Let m = a - -25. What is n in 0 + 0*n + 1/2*n**m = 0?
0
Let d(x) = -3*x**2 - 5*x. Let k(t) be the second derivative of 0 + 5/12*t**4 + 3/2*t**3 - 3*t + 0*t**2. Let u(m) = -7*d(m) - 4*k(m). Factor u(o).
o*(o - 1)
Find l such that 68*l**4 - 4*l**5 - 72*l**3 - 96*l**4 - 32*l - 15*l**2 - 65*l**2 = 0.
-2, -1, 0
Let u(v) be the third derivative of v**8/168 + 4*v**7/105 + v**6/60 - 7*v**5/15 - 5*v**4/3 - 8*v**3/3 + 24*v**2. Determine h so that u(h) = 0.
-2, -1, 2
Let o = 604/129 + -2/129. Let g = 92 - 274/3. Find t such that 8/3*t**3 + o*t**2 + 4/3*t - g = 0.
-1, 1/4
Let p(w) = w**3 - 6*w**2 - w + 8. Let r be p(6). Factor 9*h**r - 8*h**3 - 10*h**3 - 3*h**5 - 3*h + 3*h**2 + 12*h**4.
-3*h*(h - 1)**4
Let q(s) be the first derivative of -s**4/22 + 2*s**3/33 + s**2/11 - 2*s/11 + 17. Factor q(m).
-2*(m - 1)**2*(m + 1)/11
Let l = -1/32 + 71/224. Factor 2/7*o + 0 + l*o**2 - 2/7*o**3 - 2/7*o**4.
-2*o*(o - 1)*(o + 1)**2/7
Let s(m) = -m**4 - m**3 + m**2 + m. Let w(q) = -9*q**4 - 17*q**3 - 5*q**2 + 5*q + 2. Let n(o) = -6*s(o) + w(o). Factor n(u).
-(u + 1)**2*(u + 2)*(3*u - 1)
Factor 16/19*w**2 + 24/19*w + 2/19*w**3 + 0.
2*w*(w + 2)*(w + 6)/19
Factor 15/2 - 3/2*y**2 - 6*y.
-3*(y - 1)*(y + 5)/2
Factor 7/4*j**2 - 1 + 3/4*j**3 + 0*j.
(j + 1)*(j + 2)*(3*j - 2)/4
Let x(k) = k**4 - k**3 - k**2. Let p(d) = -3*d**4 + 9*d**3 - 6*d**2 - 12*d. Let r(b) = p(b) + 6*x(b). Factor r(y).
3*y*(y - 2)*(y + 1)*(y + 2)
Let w(n) be the first derivative of n**3/18 - 5*n**2/12 + 2*n/3 + 1. Let w(r) = 0. Calculate r.
1, 4
Let l(i) be the second derivative of i**7/16380 - i**6/1560 + i**5/390 - i**4/6 + i. Let s(h) be the third derivative of l(h). Determine t, given that s(t) = 0.
1, 2
Find d, given that -2/13 - 4/13*d - 2/13*d**2 = 0.
-1
Let s(x) be the third derivative of x**5/20 + x**4/12 - x**3/6 - 2*x**2. Let u be s(1). Solve -4*j - j**3 + 3*j**2 + 4*j - u*j**2 = 0.
-1, 0
Let w(q) be the third derivative of -q**9/151200 + q**8/50400 - q**5/60 + 6*q**2. Let o(u) be the third derivative of w(u). Determine n so that o(n) = 0.
0, 1
Let i be -44*(-3)/(-369) + 1. Let m = 1/41 + i. Suppose 2/3 + m*d**2 - 4/3*d = 0. What is d?
1
Let o(y) be the second derivative of -y**5/70 + y**4/42 + 2*y. Suppose o(h) = 0. Calculate h.
0, 1
Let i(c) be the second derivative of c**7/210 - c**6/75 - c**5/50 + c**4/15 + c**3/30 - c**2/5 + 17*c. Find b such that i(b) = 0.
-1, 1, 2
Let l(c) = -c**3 - 11*c**2 + 49*c + 89. Let q(g) = -g**3 - 6*g**2 + 24*g + 44. Let f(r) = 4*l(r) - 9*q(r). Factor f(n).
5*(n - 2)*(n + 2)**2
Let a(z) be the second derivative of z**4/4 - 2*z**3 + 9*z**2/2 - 23*z. What is c in a(c) = 0?
1, 3
Let p(x) be the first derivative of 2/3*x**3 + 2*