243 + 54*t.
-3*(t - 9)**2
Factor -4/5*j**2 - 720 + 48*j.
-4*(j - 30)**2/5
Suppose 5*p = v + 738, -3*p + 685 = v + 239. Factor -222*g + 144 - 79*g - 13*g**3 + 61*g + 4*g**4 + p*g**2 - 27*g**3.
4*(g - 3)**2*(g - 2)**2
Let m = 76 + -72. Let j be 12 - m - (-5)/((-5)/4). Let -1/2 + v**2 - 1/2*v**j - 3/4*v + 3/2*v**3 - 3/4*v**5 = 0. What is v?
-1, -2/3, 1
Suppose -4*i - 1 = -2*z - 5, -4*i + z + 2 = 0. Suppose -5*x + i*x = -10. Solve -7*k - k + 0 + 1 - 4*k**x - 5 = 0 for k.
-1
Let t(q) be the second derivative of -q**5/10 - q**4/2 + 16*q**3/3 - 12*q**2 - 37*q. Suppose t(w) = 0. What is w?
-6, 1, 2
Let n(z) be the second derivative of -5/18*z**5 - 5*z + 16/27*z**3 + 0 + 5/54*z**4 + 4/9*z**2. Solve n(o) = 0 for o.
-2/5, 1
Let g(l) = l**2 - l. Let q(j) = -10*j**2 - 8*j. Let o(t) = -8*g(t) - q(t). Suppose o(d) = 0. Calculate d.
-8, 0
Let m(s) be the third derivative of -s**2 - 4/45*s**5 + 0*s**3 + 7/360*s**6 + 1/18*s**4 + 0*s + 0. Suppose m(h) = 0. Calculate h.
0, 2/7, 2
Factor -12*t + 9*t**2 - 11*t**2 - 5*t - 8 + t - 2*t**5 + 10*t**3 + 2*t**4.
-2*(t - 2)**2*(t + 1)**3
Suppose p + 2*u = 5 + 2, 0 = 5*p + 2*u - 3. Let j(f) = 243*f**2 - 112*f + 12. Let y(c) = -c. Let m(l) = p*j(l) + 4*y(l). Factor m(q).
-3*(9*q - 2)**2
Let p(f) be the first derivative of 5*f**2 + 15/4*f**4 + f**5 + 18 - 5/6*f**6 - 25/3*f**3 + 0*f. Factor p(y).
-5*y*(y - 1)**3*(y + 2)
Let b(j) be the third derivative of j**7/180 + j**6/180 - j**4/2 + 18*j**2. Let p(u) be the second derivative of b(u). Let p(f) = 0. What is f?
-2/7, 0
Let s be 118*-1*3/(-6). Let t = s + -29. Factor 4*h - 18*h**4 - 3*h + t*h**3 + h - 14*h**2.
-2*h*(h - 1)*(3*h - 1)**2
Let w(d) be the third derivative of -d**9/15120 - d**8/560 - 3*d**7/140 - 3*d**6/20 + 2*d**5/15 + 9*d**2. Let x(t) be the third derivative of w(t). Factor x(v).
-4*(v + 3)**3
Let j(d) = -28*d**2 - 10*d + 80. Let t(u) = -29*u**2 - 10*u + 80. Let r(z) = 4*j(z) - 3*t(z). Find a, given that r(a) = 0.
-2, 8/5
Let a be (-6)/(-27) - (-116)/(-36). Let w be 3 + (4 + -3)*a. Let -2/5*s + 2/5*s**3 + w + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let z be ((-9)/(-6))/((-3)/(-10)). Find i such that 9*i**3 + 42*i**4 - 18*i**4 + 3*i**3 - 12*i**4 - 45*i**z = 0.
-2/5, 0, 2/3
Let u(j) be the third derivative of 0*j**4 - 2/525*j**7 + 1/150*j**6 + 7*j**2 + 0 + 2/75*j**5 + 0*j + 0*j**3. Factor u(t).
-4*t**2*(t - 2)*(t + 1)/5
Let w(u) be the second derivative of -5/2*u**2 - 5/24*u**4 + 9/4*u**3 + 2*u - 4. Factor w(g).
-(g - 5)*(5*g - 2)/2
Factor 15/2 - 7/2*n - 7/2*n**2 - 1/2*n**3.
-(n - 1)*(n + 3)*(n + 5)/2
Suppose -4 = -5*b + 6. Suppose -6*k**4 - 19*k**b + 2*k**4 + 28*k + 46 - 54 - 17*k**2 + 20*k**3 = 0. What is k?
1, 2
Find w such that 0 - w - 1/2*w**4 + 1/2*w**2 + w**3 = 0.
-1, 0, 1, 2
Let x = 78903994/255 - 309427. Let m = -5/17 + x. Determine v so that -m*v + 0*v**4 + 0*v**2 + 4/15*v**3 + 0 - 2/15*v**5 = 0.
-1, 0, 1
Let g(z) be the first derivative of -z**6/840 - 2*z**5/35 - 8*z**4/7 + 2*z**3/3 + 26. Let p(v) be the third derivative of g(v). Suppose p(y) = 0. Calculate y.
-8
Let o(y) = -y**2 - 18*y - 48. Let f(c) be the third derivative of -c**5/30 - 37*c**4/24 - 49*c**3/3 + c**2 - 8. Let g(z) = -6*f(z) + 13*o(z). Factor g(a).
-(a + 6)**2
Let c(y) be the third derivative of -y**6/360 - y**5/90 + y**4/72 + y**3/9 + 3*y**2 - 5. Factor c(u).
-(u - 1)*(u + 1)*(u + 2)/3
Solve 13/4*l**2 - 3/2*l - 1/4*l**4 + 0 + 1/4*l**5 - 7/4*l**3 = 0 for l.
-3, 0, 1, 2
Let u = 74 + -62. Suppose -3*w + 6*w - u = 0. Suppose 1/2*d**2 + 1/2*d - 1/2*d**w + 0 - 1/2*d**3 = 0. What is d?
-1, 0, 1
Factor 0 - 1/4*o**5 + 0*o**2 + o**4 + 0*o - o**3.
-o**3*(o - 2)**2/4
Find r, given that 3*r**2 + 34/3*r - 8/3 = 0.
-4, 2/9
Suppose 4*i = i. Suppose m - 3*w - 3 = i, 5*m + 0*w = -w + 63. Factor 0*t**2 - 8*t**3 + 35*t**2 - 20*t**4 - m*t**3 - 10*t.
-5*t*(t + 2)*(2*t - 1)**2
Let m be 1 + (-12)/(-2) + -4 - 2. Let c be (-7)/(-3) - (m + -1 - -2). Factor -1/6*j + 1/6*j**2 - c.
(j - 2)*(j + 1)/6
Suppose 56*s + 70 = 51*s. Let w be s/(-5)*(-3 + (-23)/(-7)). Factor -8/5*n**2 + 0*n**3 + w*n**4 + 4/5 + 0*n.
4*(n - 1)**2*(n + 1)**2/5
Let d(q) = q**3 + 10*q**2 - 12*q - 8. Let b be d(-11). Determine l, given that -10*l**4 - 11*l**4 - 13*l**4 - 4*l + 30*l**4 - 12*l**2 - 12*l**b = 0.
-1, 0
Let z be 16/(-88) + (-24)/(-11). What is u in 4*u**3 + 16*u**2 + 2*u**4 + 4*u + 4*u**3 - 6*u**z + 0*u**2 = 0?
-2, -1, 0
Let p(t) = -6*t**4 - 7*t**2 - 3*t. Let l(m) = 2*m**4 + 4*m**2 + 2*m. Let u(i) = 5*l(i) + 2*p(i). Factor u(r).
-2*r*(r - 2)*(r + 1)**2
Let o(z) = z**4 - 9*z**3 + 13*z**2 + 11*z - 14. Let c(t) = -t**3 + t**2 + 2*t - 1. Let v(y) = -10*c(y) + 5*o(y). Suppose v(f) = 0. Calculate f.
-1, 1, 3, 4
Let h(i) be the third derivative of i**7/315 - 31*i**6/180 + 59*i**5/90 - 29*i**4/36 + 459*i**2. Factor h(z).
2*z*(z - 29)*(z - 1)**2/3
Let t(n) be the first derivative of -2*n**5/15 - 3*n**4 - 18*n**3 - 169. Determine i, given that t(i) = 0.
-9, 0
Let z(o) be the third derivative of 1/20*o**5 + 1/160*o**6 + 1/4*o**3 + 5/32*o**4 - 15*o**2 + 0 + 0*o. Factor z(j).
3*(j + 1)**2*(j + 2)/4
Let d(g) = -g**3 + 16*g**2 - 16*g + 11. Let p be d(15). Let s = -2 - p. Suppose -2 - 4*b**s + 2*b**2 + 3*b + 0*b**2 + 3*b**2 + b**4 - 3*b**3 = 0. What is b?
-1, 1, 2
Let k(g) be the first derivative of 0*g**3 + 0*g**2 - 5*g - 1/3*g**4 - 1 - 1/15*g**6 - 3/10*g**5. Let t(y) be the first derivative of k(y). Factor t(h).
-2*h**2*(h + 1)*(h + 2)
Let b(n) = 5*n**2 - 70*n - 40. Let v(f) = 7*f**2 - 74*f - 39. Let k(r) = 6*b(r) - 5*v(r). Factor k(p).
-5*(p + 1)*(p + 9)
Let s(z) be the third derivative of -z**8/60480 - z**7/3024 - z**6/360 + 7*z**5/60 + z**3 + 5*z**2 - z. Let t(c) be the third derivative of s(c). Factor t(y).
-(y + 2)*(y + 3)/3
Let o be -1 - (1 + 1 + -5). Suppose 5*g + g - 1 + 2*g**o + 5 = 0. What is g?
-2, -1
Determine b so that -51*b**4 + 165*b**2 - 77*b**2 - 14*b**3 - 7*b**5 - 88*b**2 = 0.
-7, -2/7, 0
Let p(o) be the third derivative of o**8/2352 + o**7/490 - o**6/280 - 11*o**5/420 - o**4/28 + o**2 - 29*o. Factor p(s).
s*(s - 2)*(s + 1)**2*(s + 3)/7
Let h(s) be the second derivative of s**6/15 + s**5 - s**4/6 - 10*s**3/3 + 190*s. Suppose h(d) = 0. Calculate d.
-10, -1, 0, 1
Let n(c) = -34*c**2 + 4*c - 1. Let f be n(8). Let v be (2/3 - (-1628)/f)*-10. Factor v*b**3 - 8/13 + 22/13*b**2 - 8/13*b - 18/13*b**4.
-2*(b - 1)**2*(3*b + 2)**2/13
Let o(y) = -5*y + 32. Let q be o(6). Let g(l) be the second derivative of 1/2*l**4 + 3/10*l**5 + 0 + 1/15*l**6 + 0*l**q + 1/3*l**3 - 4*l. Solve g(t) = 0 for t.
-1, 0
Factor 114*g + 173 - 1963 - 5954 + 201*g - 4*g**2 + 37*g.
-4*(g - 44)**2
Determine p, given that 25/2*p**3 + 82*p + 40 + 1/2*p**4 + 54*p**2 = 0.
-20, -2, -1
Let s(q) be the second derivative of -q**7/2520 - q**6/360 + q**5/40 + 7*q**4/12 - 4*q. Let v(b) be the third derivative of s(b). Suppose v(t) = 0. What is t?
-3, 1
Let n(j) = j**2 + 10*j + 12. Let q be n(-9). Suppose q*k = -h - 9, -12 = -h + 5*k + 11. Factor 25*w**2 - 5 - h + 4 + 0 + 25*w**3 - 4*w.
(w + 1)*(5*w - 2)*(5*w + 2)
Suppose 138*u**4 + 18*u**5 + 44*u**3 + 16 + 294*u**3 - 32*u + 326*u**2 + 55*u + 101*u = 0. Calculate u.
-4, -2, -1, -1/3
Let g(h) = 165*h - 1647. Let z be g(10). What is s in 6/7 + 3/7*s**z + 0*s**2 - 9/7*s = 0?
-2, 1
Let k(x) = 2*x**2 + 9*x + 12. Let n(j) = -3*j**2 - 10*j - 13. Let u(i) = 4*k(i) + 3*n(i). Let c be u(7). Factor -3/2*t**c + 0 - 1/2*t**3 - t.
-t*(t + 1)*(t + 2)/2
Let b(u) be the third derivative of -u**5/10 - 3*u**4/8 + 4*u**3/3 - 51*u**2. Let i(d) = d**2. Let n(c) = 5*b(c) + 35*i(c). Factor n(o).
5*(o - 8)*(o - 1)
Let q be 4/(-10) - (-6408)/(-630). Let h = 250/21 + q. What is y in 4/3*y**2 + 2/3*y - h*y**4 - 2/3*y**5 + 0*y**3 + 0 = 0?
-1, 0, 1
Let z(v) be the second derivative of v**7/21 + 2*v**6/15 - 4*v**5/5 - 8*v**4/3 + 16*v**3/3 + 32*v**2 - 5*v + 3. Factor z(m).
2*(m - 2)**2*(m + 2)**3
Let i(s) be the third derivative of s**8/672 + s**7/84 - 13*s**6/240 + 7*s**5/120 - 129*s**2. Let i(l) = 0. What is l?
-7, 0, 1
Let p(l) = 3*l**3 - 2*l**2 + 1. Let t be 10/65 - (-33)/39. Let d be p(t). Factor a**2 + a**4 - a**2 + a - 2*a**3 - a**d + a**3.
a*(a - 1)**2*(a + 1)
Let b = 118 - 1292/11. Let v = 1337/11 - 121. Factor -b - 20/11*z - v*z**2.
-2*(z + 3)*(3*z + 1)/11
Let s(k) = 4*k**2 + 37*k - 5. Let f(d) = 4*d**2 + 38*d - 6. Let g = -42 + 48. Let t(o) = g*s(o) - 5*f(