 2/11 - 5/11*y**t - 2/11*y**3 - 1/11*y.
-(y + 1)*(y + 2)*(2*y - 1)/11
Let b(d) be the second derivative of d**5/4 + 55*d**4/12 + 65*d**3/3 + 40*d**2 - 2*d - 13. Let b(f) = 0. What is f?
-8, -2, -1
Let u(o) be the first derivative of o**5/55 + 5*o**4/44 + 4*o**3/33 + 41. What is m in u(m) = 0?
-4, -1, 0
Let a(c) = -7*c**4 - 9*c**3 + 9*c**2 + 21*c - 20. Let i(g) = -30*g**4 - 36*g**3 + 36*g**2 + 84*g - 81. Let n(f) = 9*a(f) - 2*i(f). Solve n(b) = 0.
-3, -2, 1
Find l such that 35/8*l**2 + 0 + 0*l + 1/8*l**3 = 0.
-35, 0
Let v(s) = -11*s**2 + 221*s - 16. Let y be v(20). Let b(a) be the first derivative of -6 + 2*a**3 + 1/2*a**y + 0*a + 2*a**2. Factor b(d).
2*d*(d + 1)*(d + 2)
Let q(r) be the third derivative of 2*r**7/105 - r**6/6 - 2*r**5/5 + 16*r**4/3 + 64*r**3/3 + 5*r**2 + r. Let q(b) = 0. Calculate b.
-2, -1, 4
Let y(g) = 3*g**4 - 113*g**3 + 112*g**2 + 2*g + 6. Let h(k) = -35*k**4 + 1355*k**3 - 1345*k**2 - 25*k - 75. Let f(q) = 2*h(q) + 25*y(q). Factor f(m).
5*m**2*(m - 22)*(m - 1)
Let d be (-4)/6*(-290)/140. Let a = d - 5/7. Factor 0 - 4/3*r - a*r**2.
-2*r*(r + 2)/3
Factor -9 + 3/7*l**2 - 12/7*l.
3*(l - 7)*(l + 3)/7
Suppose n + 14 = -n. Let c(s) = s**2 + 6*s + 4. Let j be c(n). Determine a so that 4*a**2 - 7*a**3 + 14*a - j*a**3 - 4 - a**3 + 5*a**3 = 0.
-1, 2/7, 1
Determine n so that -9/2*n**5 - 51/2*n**4 - 9*n**3 + 27/2*n - 15/2 + 33*n**2 = 0.
-5, -1, 1/3, 1
Factor -i**3 + 2*i**2 - 89 + 175 + 31*i - 58.
-(i - 7)*(i + 1)*(i + 4)
Let j = -14 - -12. Let q be j/(-9) + 256/144. Factor -2*d**2 - d + 0*d**2 + 2*d + d**q.
-d*(d - 1)
Let j(b) be the first derivative of 18*b**5/5 + 3*b**4 - 22*b**3/3 - 4*b**2 + 8*b - 62. Factor j(m).
2*(m + 1)**2*(3*m - 2)**2
Suppose -2*r = 5*z + 80, -4*z = -3*r + 7*r + 64. Let m be z/(-7) + 4/(-14). Let i**m - 6*i**3 + 2 + 5*i**3 - 2 = 0. What is i?
0, 1
Let f(d) be the second derivative of -9*d**5/10 + 19*d**4/6 + 25*d**3/3 - 3*d**2 - 108*d. Solve f(g) = 0 for g.
-1, 1/9, 3
Suppose 5*c + 4*m = 167, -25 = 2*c - 4*m - 75. Suppose l + 4*l - 5 + 26*l**3 + 5*l**2 - c*l**3 = 0. What is l?
-1, 1
Let y(a) be the third derivative of 0*a**4 + 11*a**2 - 1/1080*a**6 + 0*a**3 - 1/3024*a**8 + 0 - 1/945*a**7 + 0*a**5 + 0*a. Factor y(n).
-n**3*(n + 1)**2/9
Determine k, given that 0*k**2 - 8*k**2 + 103*k**3 - 107*k**3 + 4*k + 8 = 0.
-2, -1, 1
Factor x**3 + 11/7*x**2 - 6/7*x**4 - 2/7*x + 0.
-x*(x - 2)*(x + 1)*(6*x - 1)/7
Let v(g) be the second derivative of 1/4*g**4 + 0*g**3 - 1/20*g**5 + 0 + 0*g**2 - 10*g. Factor v(y).
-y**2*(y - 3)
Let t be 16994/(-90) - (0 - (-16)/(-72)). Let s = t - -189. Determine g, given that -1/5*g + 2/5 + 1/5*g**3 - s*g**2 = 0.
-1, 1, 2
Factor 5*r**2 - 2*r + 8*r - 24*r + 6*r - 38*r + 120.
5*(r - 6)*(r - 4)
Let i(q) = 2*q**2 - 8*q - 7. Let w be i(5). What is u in 4*u**w + 4*u**4 + 6*u**3 - 8*u**2 + 8*u**3 - 22*u**3 + 2*u**5 + 4 + 2*u = 0?
-2, -1, 1
Let w(z) be the second derivative of 1024*z**6/45 - 4544*z**5/15 + 1624*z**4 - 4410*z**3 + 6174*z**2 + 2*z + 39. Find l such that w(l) = 0.
1, 21/8
Suppose -15*j + 25*j - 80 = 0. Let c be (j/2)/1*11/66. Factor 10/3*b**3 + 0 + 2*b**2 + c*b**4 - 6*b.
2*b*(b - 1)*(b + 3)**2/3
Let w be ((-6)/3)/((-2)/4). Factor -4*a + 3*a + 0 - w - a + 2*a**2.
2*(a - 2)*(a + 1)
Let x(k) = 3*k**3 - 4*k**2 + 5*k + 4. Let n(r) = -r. Let j(g) = 5*g + 1. Let u(h) = -j(h) - 4*n(h). Let y(d) = -4*u(d) - x(d). Factor y(l).
-l*(l - 1)*(3*l - 1)
Suppose 0 = -59*j + 26*j + 23*j. Let d(l) be the second derivative of -4/3*l**4 + 15*l + j*l**6 + 0 + 0*l**2 - 1/21*l**7 + l**3 + 3/5*l**5. Factor d(f).
-2*f*(f - 1)**3*(f + 3)
Factor -7/2*a + 0 - 1/2*a**3 - 4*a**2.
-a*(a + 1)*(a + 7)/2
Let t(n) = -28*n + 784. Let v be t(28). Let v + 0*f - 1/7*f**3 + 6/7*f**2 = 0. Calculate f.
0, 6
Suppose 10 = q - 5*t + 2, 4*q + 5*t = 7. Suppose 4*z - 11 = f, -3*f = -3*z + 2*z. Suppose 3*y**q + 120*y - 6*y**2 - z*y**5 - 120*y + 6*y**4 = 0. What is y?
-1, 0, 1, 2
Let c(h) be the first derivative of -7*h**4/34 + 52*h**3/51 + 8*h**2/17 + 167. Suppose c(n) = 0. What is n?
-2/7, 0, 4
Let b(j) be the second derivative of -j**6/1260 - 2*j**5/105 - 4*j**4/21 - 9*j**3/2 - 32*j. Let h(p) be the second derivative of b(p). Factor h(c).
-2*(c + 4)**2/7
Factor 12 - 1/3*q**2 + 3*q.
-(q - 12)*(q + 3)/3
Suppose 0 = -x + 2, -4*a + 2*x - 21 = 475. Let w = a - -123. Factor 4/7*u**2 + 0 + 4/7*u**3 + w*u.
4*u**2*(u + 1)/7
Suppose 0*u = 2*m + u - 8, 4*m - 2*u = 0. Factor 0 + 4/3*d**5 + 0*d**4 + 0*d**m - 4/3*d**3 + 0*d.
4*d**3*(d - 1)*(d + 1)/3
Factor -3*m**3 - 2*m**2 + 0 + 5/2*m**4 + 4*m - 1/2*m**5.
-m*(m - 2)**3*(m + 1)/2
Suppose -5*x - 10 = -4*x - 4*g, 4*x = -5*g + 23. Let l = -852 - -854. Let -l*i + 1/2*i**x + 0 = 0. Calculate i.
0, 4
Let i(d) be the first derivative of 1/3*d**3 - 13 - 3/2*d**2 + 2*d. Factor i(f).
(f - 2)*(f - 1)
Let h be (2/(-5))/(12/(-40)). Let n be ((-6)/(-21))/((-45)/35)*-2. Factor -2*k - 2/9*k**5 - 28/9*k**3 + n + 32/9*k**2 + h*k**4.
-2*(k - 2)*(k - 1)**4/9
Suppose 5 = -3*u - 5*b, -29*b + 28*b = 4. Suppose -3/4*g**u + 0*g**3 + 3/4*g + 0 - 3/2*g**2 + 3/2*g**4 = 0. Calculate g.
-1, 0, 1
Let m(k) be the first derivative of -k**6/51 - 32*k**5/85 - k**4/34 + 940*k**3/51 - 1276*k**2/17 + 1936*k/17 - 483. Factor m(b).
-2*(b - 2)**3*(b + 11)**2/17
Let q(d) be the first derivative of 5*d**4/4 + 95*d**3/3 + 275*d**2/2 - 1815*d + 280. Find j such that q(j) = 0.
-11, 3
Factor -235*w**3 + 6*w**2 + 5*w**2 + 7*w + 23*w**2 - 4 + 254*w**3 + 4*w.
(w + 1)**2*(19*w - 4)
Let -2*d**3 + 0*d + 34/7*d**4 + 20/7*d**5 - 4/7*d**2 + 0 = 0. What is d?
-2, -1/5, 0, 1/2
Let o(p) = -p**2 - 4*p - 1. Let a be o(-4). Let g be (1 - a) + 26/(-14). Suppose -1/7*c**3 + 0 + 0*c + 1/7*c**4 - 1/7*c**2 + g*c**5 = 0. What is c?
-1, 0, 1
Let g(h) = h**2 - 1. Let j(y) = -4*y**5 - y**4 + 4*y**3 + 5*y**2 - 4. Let x(m) = 4*g(m) - j(m). Factor x(r).
r**2*(r - 1)*(r + 1)*(4*r + 1)
Let f(a) be the first derivative of 2*a**3/9 + 4*a**2 - 40. Determine w so that f(w) = 0.
-12, 0
Let i(m) be the first derivative of -m**6/18 + 6*m**5/5 - 37*m**4/12 - 44*m**3 - 242*m**2/3 - 276. Factor i(j).
-j*(j - 11)**2*(j + 2)**2/3
Find b, given that 29/4*b - 21/4*b**2 + b**3 - 3/2 = 0.
1/4, 2, 3
Let k = -286 + 190. Let p be 2 + 0 + k/(-8). Suppose 12*t**3 - 24*t**2 + 24 + 20*t + p - 44 - 2*t**4 = 0. Calculate t.
1, 3
Let h(t) be the third derivative of 0*t + 1/270*t**5 + 0*t**4 - 4/27*t**3 - 7*t**2 + 0. Factor h(z).
2*(z - 2)*(z + 2)/9
Let c be 1 - 0 - (2 + -1). Let k be (18/(-420))/(17/(-170)). Solve k*f**2 + c - 3/7*f = 0 for f.
0, 1
Suppose 6*m + 7*m - 13 = 0. Let p(w) be the first derivative of 3*w**2 + 0*w**3 - 3/2*w**4 - 3*w + m + 3/5*w**5. Factor p(l).
3*(l - 1)**3*(l + 1)
Suppose 2/17*w**2 - 18/17 - 2/17*w**3 + 18/17*w = 0. What is w?
-3, 1, 3
Let z = 808 + -788. Suppose -z*t + 35/3*t**2 - 20/3 = 0. What is t?
-2/7, 2
Let r(g) be the third derivative of -g**5/360 - g**4/9 - 7*g**3/9 + g**2 + 319. Find m, given that r(m) = 0.
-14, -2
Let z(j) = j**4 + 3*j**2 - 21 - 13 + 3*j**3 + 35 - j. Let f(h) = -h**2 + h - 1. Let q(y) = -f(y) - z(y). Factor q(m).
-m**2*(m + 1)*(m + 2)
Let k be (-1 - 3)*(-2)/(-8). Let h be (k*2/3)/(10/(-6)). Factor -h*s**3 - 2/5*s**2 + 2/5*s + 2/5.
-2*(s - 1)*(s + 1)**2/5
Let b = 91 + -68. Find a such that -16*a**3 - 19*a - 21*a**2 - b*a**2 + 31*a = 0.
-3, 0, 1/4
Factor 0 - 63/2*h**2 - 3*h**3 - 15*h.
-3*h*(h + 10)*(2*h + 1)/2
Let l(d) be the second derivative of d**7/840 - 7*d**6/240 + d**5/4 - 11*d**4/3 + 26*d + 2. Let s(q) be the third derivative of l(q). Let s(w) = 0. What is w?
2, 5
Let l be 3/6 + 18/4. Suppose 4*d = l*d - 5. Determine g, given that -6*g**5 + 3 + 14*g**4 - 4*g - 12*g + d + 26*g**3 - 4*g**5 - 22*g**2 = 0.
-1, 2/5, 1, 2
Let o = 17319 + -17316. Factor 24/7 + 3/7*v**o - 45/7*v + 18/7*v**2.
3*(v - 1)**2*(v + 8)/7
Factor -101 + 45*t - t**2 - 6*t**2 + 11 + 2*t**2.
-5*(t - 6)*(t - 3)
Let r be -33*1*(-28)/12. Factor -13*c - 120*c**3 + 3*c - 79*c**4 - r*c**2 + 24*c**4 + 2*c**2.
-5*c*(c + 1)**2*(11*c + 2)
What is a in 3/4*a**3 + 9/2 + 3*a**2 - 33/4*a = 0?
-6, 1
Suppose 51 = 2*s + 21. Suppose -7*b = -2*b - s. Find m, given that 150 + 6*m**2 - b*m**3 - 3*m**4 - 150 = 0.
-2, 0, 1
Factor 0 - 4/3*j**2 - 8/3*j + 4/3*j**3.
4*j*(j - 2)*(j + 1)/3
Let j(h) = h**3 + h**2 + h. Let k(z) = -4*z**4 + 40*z**3 + 176*z**2 - 2272*z. Let r(q) = -4*j(q) - k(q). Factor 