*4 + 0*n**3 + 0*n + 0 + 0*n**2 = 0 for n.
0
Let k(m) = -2*m**2 + 40*m + 39. Let t be k(21). Let w be ((-42)/t - 2)*1/33. Let 6/11*r**4 - 2/11 + 6/11*r - w*r**2 - 2/11*r**5 - 4/11*r**3 = 0. What is r?
-1, 1
Let d(g) be the second derivative of 0 + 0*g**4 + 2/45*g**6 + 2/63*g**7 + 0*g**5 + 0*g**2 + 33*g + 0*g**3. Factor d(n).
4*n**4*(n + 1)/3
Let v(n) be the third derivative of n**7/126 - 7*n**6/72 - n**5/9 + 35*n**4/18 - 27*n**2. Suppose v(u) = 0. What is u?
-2, 0, 2, 7
Let i(n) = n - 6. Let y be i(10). Suppose -l + y = -1. Factor -8 + 13*q + q**2 - l*q**2 + 18*q - 19*q.
-4*(q - 2)*(q - 1)
Let q(z) be the first derivative of -8/3*z**3 + 2*z**2 - 2*z**4 + 4*z + 2/3*z**6 + 4/5*z**5 - 20. Factor q(l).
4*(l - 1)**2*(l + 1)**3
Let s(a) = a**3 - 43*a**2 - a + 43. Let k(j) = -42*j**2 + 42. Let b(g) = -2*k(g) + 3*s(g). Factor b(v).
3*(v - 15)*(v - 1)*(v + 1)
Let s(h) be the first derivative of -h**6/30 + h**5/5 - 9*h**4/20 + 7*h**3/15 - h**2/5 - 25. Let s(t) = 0. Calculate t.
0, 1, 2
Let j = -4947/5 + 994. Solve -j*m**2 + 3/5*m**3 + 16/5 + 8*m = 0 for m.
-1/3, 4
Let d(f) be the first derivative of -f**7/5040 - f**6/2160 + f**5/144 - f**4/48 - 3*f**3 - 15. Let w(h) be the third derivative of d(h). Factor w(i).
-(i - 1)**2*(i + 3)/6
Let c(v) = v**2 - 2*v + 73. Let n = -3 + 3. Let t be c(n). Suppose t*a + 66*a**3 - 90*a**2 - 106*a + 285*a**4 - 3 - 225*a**5 + 0 = 0. What is a?
-1/3, -1/5, 1
Let l(y) be the first derivative of -1/4*y**4 + 4*y - 5 - 1/3*y**3 - 1/60*y**6 - 1/10*y**5 - 1/4*y**2. Let w(z) be the first derivative of l(z). Factor w(b).
-(b + 1)**4/2
Factor 3750 + 2/3*z**2 + 100*z.
2*(z + 75)**2/3
Let v(x) be the first derivative of 4/9*x**3 - 4/3*x**2 + 16/9*x - 1/18*x**4 - 4. Find b, given that v(b) = 0.
2
Let c = -10 + 12. Let o(w) = 0*w + 43*w**2 - 8*w - 51*w**c. Let s(x) = 8*x**2 + 9*x + 1. Let m(r) = 5*o(r) + 6*s(r). Factor m(z).
2*(z + 1)*(4*z + 3)
Let h = 171 + -51. Let v be 176/h + (-2)/15. Factor 0*i + 2/3*i**3 - 2/3*i**4 + v*i**2 + 0.
-2*i**2*(i - 2)*(i + 1)/3
Let w(t) be the first derivative of -t**3/12 - 3*t**2/2 - 9*t - 204. Find m such that w(m) = 0.
-6
What is j in -2*j**2 + 2*j + 2/3*j**3 - 2/3 = 0?
1
Let r = -1 - -5. Factor 5*h**r - 476*h**2 + h**4 + 3*h - 3*h**5 + 470*h**2.
-3*h*(h - 1)**3*(h + 1)
Let r(m) = m**3 + 10*m**2 + 16*m + 13. Let x be r(-8). Factor 12*l**3 + 4*l**2 + 0*l**2 + l + 0*l**2 - 4 - x*l**3.
-(l - 4)*(l - 1)*(l + 1)
Let a be (-7)/2*12/(-21). Let -15*g**3 - 2*g - 8*g + 15*g**a + 5*g + 5*g**4 = 0. What is g?
0, 1
Let p(g) be the first derivative of 15*g**4/4 + 47*g**3 + 87*g**2 + 48*g - 143. Factor p(o).
3*(o + 1)*(o + 8)*(5*o + 2)
Let q(c) be the first derivative of 4*c - 1/10*c**6 - 2*c**3 + 2 + 3/5*c**5 - 3/4*c**4 + 6*c**2. Let w(f) be the first derivative of q(f). Solve w(i) = 0 for i.
-1, 1, 2
Let d = -497144/213 - -2334. Let y = d - -649/1065. Factor -y*o**3 + 3/5*o - 3/5 + 3/5*o**2.
-3*(o - 1)**2*(o + 1)/5
Factor 224 + 136*z - 162*z**4 - 72*z**2 - 216*z + 166*z**4 + 20*z**3.
4*(z - 2)**2*(z + 2)*(z + 7)
Factor 1/8*q**2 + 0 + 0*q.
q**2/8
Suppose 16 + 0 = 4*p + 3*k, 8 = 2*p - 3*k. Factor 0*r**2 + 22*r**3 - 10*r**3 + 0*r**2 + 4*r**p - 16*r.
4*r*(r - 1)*(r + 2)**2
Suppose 5*g - r - 13 = 0, -7 = -g - 51*r + 49*r. Factor -2*j**4 + 2/3 + 4/3*j**2 + 2*j - 2/3*j**5 - 4/3*j**g.
-2*(j - 1)*(j + 1)**4/3
Suppose 161 = 16*u - 255. Suppose 0 = 5*j - 4*w - u, j - w - 3 = 3. Factor 8/7 + 14*m**j + 8*m.
2*(7*m + 2)**2/7
Let l(i) be the third derivative of -1/45*i**5 + 7*i**2 + 0 + 0*i + 1/36*i**4 - 1/60*i**6 + 0*i**3. Let l(h) = 0. What is h?
-1, 0, 1/3
Let w(d) be the second derivative of -d**6/15 + d**5/2 + 19*d**4/6 - 65*d**3/3 - 150*d**2 - 192*d. Factor w(n).
-2*(n - 5)**2*(n + 2)*(n + 3)
Let d be ((-32)/42)/((-70)/63). Let z = d + -2/7. Factor -2/5 + 0*l + z*l**2.
2*(l - 1)*(l + 1)/5
Suppose -l + 81*n - 25 = 77*n, 3*l = n + 2. Suppose -2*h = 3*s + 9, 4*h + 3*s + 3 = 2*s. Solve 2/7*o + 2/7*o**2 - 2/7*o**l + h - 2/7*o**4 = 0.
-1, 0, 1
Let z = 40 + -23. Suppose -4*m = 12, -4*m = -4*s + z + 7. What is o in 39*o**3 - 27*o**3 + 3*o**4 + 12*o + 23*o**2 - 5*o**2 + s = 0?
-1
Let c(j) be the first derivative of j**3/24 + 23*j**2/8 + 45*j/8 - 253. Factor c(h).
(h + 1)*(h + 45)/8
Let u(t) = -2495*t**3 - 2105*t**2 + 384*t - 11. Let y(q) = 3743*q**3 + 3157*q**2 - 576*q + 17. Let h(d) = -7*u(d) - 5*y(d). Factor h(m).
-2*(m + 1)*(25*m - 2)**2
Determine a, given that 3*a**2 + a**2 + 104*a - 24*a + 76 + 0*a**2 = 0.
-19, -1
Let u(w) be the third derivative of -w**5/12 + 5*w**4/3 + 50*w**3/3 - 14*w**2 - w. Factor u(f).
-5*(f - 10)*(f + 2)
Let j(v) = v**2 + 7*v + 2. Let u be j(-7). Let c = 7 + u. Factor -c*z**2 - 3*z**3 + 10*z - 2*z + 4*z.
-3*z*(z - 1)*(z + 4)
Let t(v) be the third derivative of v**6/540 + v**5/18 - v**4/108 - 5*v**3/9 - 3*v**2 - 2*v. Factor t(b).
2*(b - 1)*(b + 1)*(b + 15)/9
Let k be -1*-6*(-4)/(-6). Factor -4*x**2 + 5*x**5 + 4*x**k - 2*x - 3*x**5 - 2*x**3 + 2*x**3.
2*x*(x - 1)*(x + 1)**3
Let 2/5*u**5 + 176/5*u**2 + 102/5*u**3 + 24/5*u**4 + 96/5*u + 0 = 0. What is u?
-4, -3, -1, 0
Let w be 7/(35/15) + -1. Determine d, given that -180*d**3 - 120*d + 270*d**4 + 40*d**w + 120*d - 135*d**5 = 0.
0, 2/3
Suppose 68*z - 73 - 42 = 21. Determine n, given that 3/2*n + 0 - 3/2*n**z = 0.
0, 1
Find i, given that -8109 + 224*i + 4*i**2 + 6255 + 4990 = 0.
-28
Let f = -14619 - -14623. Find s such that 52/5*s**f - 4/5*s + 42/5*s**3 + 16/5*s**5 + 0 + 2/5*s**2 = 0.
-2, -1, -1/2, 0, 1/4
Let p(u) = 2*u + 2. Let m be p(1). Find q such that 9*q - 2*q**4 + 36*q**3 - 79*q**m - 45*q + 4 + 77*q**2 = 0.
-1, 2/9, 1
Let 2/5*d**5 - 8/5*d**3 + 4/5 + 6/5*d + 0*d**4 - 4/5*d**2 = 0. Calculate d.
-1, 1, 2
Factor 30*q**2 - 59*q + 122*q + 0*q**3 + 32 - 2*q**3 + q**3.
-(q - 32)*(q + 1)**2
Let u(h) be the first derivative of 5*h**7/42 + h**6/3 - 7*h**5/4 + 5*h**4/3 + 10*h + 19. Let r(b) be the first derivative of u(b). Solve r(p) = 0.
-4, 0, 1
Let t(v) = 3*v**3 - 46*v**2 - 584*v - 2740. Let l(h) = -8*h**3 + 137*h**2 + 1753*h + 8221. Let m(f) = 4*l(f) + 11*t(f). Suppose m(d) = 0. Calculate d.
-14
Let h(q) be the second derivative of -q**4/24 + q**2 + 35*q. Factor h(a).
-(a - 2)*(a + 2)/2
Find f, given that -1/2*f**2 + 0 - 3*f + 1/2*f**3 = 0.
-2, 0, 3
Suppose 0 = 5*p - 21 - 24. Suppose 3*k + k**4 - 4*k**4 + 0*k**4 + 3*k**5 + 3*k**5 - p*k**3 + 3*k**2 = 0. Calculate k.
-1, -1/2, 0, 1
Suppose p = 67 - 62. Let w(d) be the first derivative of -2/21*d**3 + 0*d + 1/7*d**2 + 2/35*d**p - 1/14*d**4 + 2. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Suppose -l**4 + 13*l**2 + 9*l**3 - 12 + 2*l**5 + 2*l - 8*l**5 + 5*l**5 - 10*l = 0. What is l?
-2, -1, 1, 3
Let y(w) be the second derivative of -w**7/49 - w**6/15 + 3*w**5/10 - w**4/42 - 6*w**3/7 + 8*w**2/7 - 18*w - 7. Suppose y(u) = 0. Calculate u.
-4, -1, 2/3, 1
Suppose 1610*m**3 + 185*m**4 + 5*m**5 - 1874*m + 259*m + 148*m**2 - 2138*m**2 + 1805 = 0. What is m?
-19, -1, 1
Let x(z) = 2*z**2 - 52*z + 388. Let h(r) = -2*r**2 + 53*r - 389. Suppose 4*o - 5 = -17. Let n(v) = o*x(v) - 4*h(v). Suppose n(w) = 0. What is w?
14
Let s = -3117 - -3149. Let a be (-2108)/(-70) - (-4)/14. Suppose 68/5*c + 8/5 - 64/5*c**5 - s*c**4 + a*c**2 - 4/5*c**3 = 0. Calculate c.
-2, -1, -1/4, 1
Let d(y) be the second derivative of -y**6/45 + y**5/15 - y**4/18 + 8*y - 6. Find n such that d(n) = 0.
0, 1
Let z be 3 - (176/(-112) + 8/14). Let v(u) be the first derivative of 3/2*u**z - 8/5*u**5 + 0*u - 1/2*u**2 + 1/2*u**6 + 5 + 0*u**3. Factor v(q).
q*(q - 1)**3*(3*q + 1)
Let l be 0 - (1 + 0 + 9/(-3)). Suppose 4*y**l + 3*y**2 - 3*y**2 - 8*y = 0. What is y?
0, 2
Let z(d) be the first derivative of 5*d**6/2 + 206*d**5 + 665*d**4/4 - 1030*d**3/3 - 340*d**2 - 774. Solve z(f) = 0.
-68, -1, -2/3, 0, 1
Let f(o) be the first derivative of 3*o**2 + 4*o - 1/2*o**4 + 0*o**3 - 4. Determine z, given that f(z) = 0.
-1, 2
Let s(u) be the third derivative of u**10/50400 - u**8/6720 - 7*u**5/30 - 10*u**2. Let v(f) be the third derivative of s(f). Find c, given that v(c) = 0.
-1, 0, 1
Let z be 1/5 - (-36)/20. Factor 6 - 3 - 1 + 1 - 3*y**z.
-3*(y - 1)*(y + 1)
Let z(k) be the second derivative of 1/2*k**4 + 0*k**2 + 0 + 19*k + 2/3*k**3. Solve z(c) = 0.
-2/3, 0
Let f(u) be the third derivative of -u**6/160 + u**5/40 - u**4/32 - 179*u**2. Factor f(n).
-3*n*(n - 1)**2/4
Let j(o) be t