 w + 33*u - 1/10*u**2. Factor n(k).
(k - 1)*(k + 1)/5
Let n be 6/(-7 + (-27)/(-3)). Let c be ((0 - n)/(-3))/((-11)/(-33)). What is z in 14/9*z**2 - 32/9 + 16/9*z + 2/9*z**c = 0?
-4, 1
Let c(t) be the first derivative of -t**6/15 + 2*t**4/3 - 22*t + 84. Let h(q) be the first derivative of c(q). Factor h(z).
-2*z**2*(z - 2)*(z + 2)
Let a(z) = -z**3 + 23*z**2 - 38*z - 84. Let w = 786 + -765. Let i be a(w). Solve 10/9*q**3 + 0 + 2/3*q**5 + i*q + 14/9*q**4 + 2/9*q**2 = 0 for q.
-1, -1/3, 0
Let y(m) = 36*m**2 + 160*m + 138. Let r(v) = -18*v**2 - 80*v - 68. Let i(n) = -18*r(n) - 10*y(n). Factor i(j).
-4*(j + 3)*(9*j + 13)
Let o(j) be the second derivative of j**7/840 + 29*j**6/240 + 7*j**5/10 + 25*j**4/4 + j + 100. Let g(y) be the third derivative of o(y). Solve g(n) = 0 for n.
-28, -1
Let s be 1*(-2)/5 + (-1709)/(-4260). Let f = s + 1135/852. What is x in 2/9*x**4 + f*x**3 - 2/9*x**5 - 16/9*x - 8/9*x**2 + 0 = 0?
-2, -1, 0, 2
Let c(b) be the first derivative of -18/11*b**2 + 53 + 162/11*b + 2/33*b**3. Factor c(h).
2*(h - 9)**2/11
Let h(w) be the second derivative of -1/90*w**4 + 124*w - 17/45*w**3 - 16/15*w**2 + 0. Suppose h(t) = 0. What is t?
-16, -1
Determine c so that 3/2*c**3 - 9 - 6*c + 21/4*c**2 - 3/4*c**4 = 0.
-2, -1, 2, 3
Let v(z) be the second derivative of z**4/22 + 23*z**3/11 + 390*z**2/11 - 1580*z + 2. Factor v(n).
6*(n + 10)*(n + 13)/11
Suppose -d + 126 = -3*v, -v + 270 = 2*d + 2*v. Suppose 0 = q - d - 528. Let q*k - 2*k**2 + 2*k**4 - 660*k + 2*k**5 - 2*k**3 = 0. Calculate k.
-1, 0, 1
Let b(t) be the first derivative of -1/50*t**5 + 0*t + 26 - 2/15*t**3 - 1/10*t**4 + 0*t**2. Factor b(w).
-w**2*(w + 2)**2/10
Determine r so that 804/7*r**2 - 116*r**3 + 48/7 + 4880/7*r = 0.
-2, -2/203, 3
Let q(x) = -22*x**3 - 5*x**2 - 14*x - 29. Let n be q(-4). Let j = -2653/2 + n. Let 6*s**5 + 45/2*s**4 - 18*s + 6 - j*s**2 + 12*s**3 = 0. Calculate s.
-2, -1, 1/4, 1
Suppose 0 = -4*l - 0*h - 2*h + 106, 4*h = l - 31. Let a be (0/(-2))/2 - (-12)/l. Factor 2/9*d**3 + 0 + 2/9*d + a*d**2.
2*d*(d + 1)**2/9
Let h be 5 + (10 - -18) + -30. Determine z so that 16/7*z**h + 64/7*z + 2/7*z**4 + 32/7 + 48/7*z**2 = 0.
-2
Let m be ((-40)/16 + 4)/(6/80). Suppose -8*x + x - 4*x + 2*x**3 + 12*x**2 - m + 17*x = 0. What is x?
-5, -2, 1
Factor 2/5*z**2 + 1122/5 + 20*z.
2*(z + 17)*(z + 33)/5
Let a(h) = -14*h**2 + 22 + 3*h + 4*h**2 - 6 - 12. Let d(b) = 108*b**2 - 32*b - 44. Let w(r) = 32*a(r) + 3*d(r). What is s in w(s) = 0?
-1, 1
Let g be 158/(-18) + 3/11 + (-7968)/(-913). Solve 8/9*m - g*m**2 + 0 = 0.
0, 4
Let s(u) be the second derivative of -u**5/110 - 41*u**4/66 - 40*u**3/33 + 41*u - 31. Factor s(x).
-2*x*(x + 1)*(x + 40)/11
Let o(x) be the first derivative of -5/2*x**4 + 5*x**2 + 21 - 5*x**5 + 0*x + 25/3*x**3. Factor o(z).
-5*z*(z - 1)*(z + 1)*(5*z + 2)
Let l = 28/181 - -222/905. Let p(j) be the first derivative of 22 + l*j - 1/2*j**2 - 1/20*j**4 + 4/15*j**3. What is y in p(y) = 0?
1, 2
Let z = -106 + 132. Suppose z*f**2 + 48*f**4 + 20*f**2 - 28*f**5 + 22*f**2 - 76*f**2 - 12*f**3 = 0. Calculate f.
-2/7, 0, 1
Let f(t) be the third derivative of -t**6/40 - 429*t**5/20 - 5778*t**4 - 22898*t**3 + 2294*t**2. Solve f(z) = 0 for z.
-214, -1
Let h be (1482/1729)/(90/112). Let d(z) be the first derivative of 0*z**2 - 4/5*z**5 - 2/15*z**6 + 0*z - h*z**3 + 27 - 8/5*z**4. Factor d(t).
-4*t**2*(t + 1)*(t + 2)**2/5
Find j such that -93/2 + 3/2*j**2 + 45*j = 0.
-31, 1
Let s(b) be the third derivative of b**5/240 - 9*b**4/4 - 217*b**3/24 - 2*b**2 - 140*b. Determine y, given that s(y) = 0.
-1, 217
Let a(m) be the second derivative of -1/105*m**6 + 0*m**2 + 2/7*m**3 - 11/42*m**4 + 0 + 162*m + 3/35*m**5. Let a(d) = 0. Calculate d.
0, 1, 2, 3
Factor 1144*f - 4/3*f**3 - 548/3*f**2 + 0.
-4*f*(f - 6)*(f + 143)/3
Let v(b) be the third derivative of -b**6/40 - 9*b**5/20 - b**4 - 2045*b**2. Determine n so that v(n) = 0.
-8, -1, 0
Suppose -4*s - 2*f + 3246 = 0, s - 5*f - 822 = -2*f. Let -19*r**2 + 15*r**2 - s - 69 + 798*r + 86*r**2 + 2*r**3 = 0. Calculate r.
-21, 1
Let g = -132253/7 + 18961. Let j = -927/14 + g. Suppose -21*n + 147/2 + j*n**2 = 0. Calculate n.
7
Suppose 0 = -t + 6, -2*g - 7*t + 32 = -3*t. Let c(z) be the first derivative of 0*z**2 + 1/20*z**5 + 1/4*z**3 + 1/4*z**g + 15 + 0*z. Factor c(v).
v**2*(v + 1)*(v + 3)/4
Let m = 8/13 - -12/65. Factor 29/5*b**2 - 6/5*b + 0 - 19/5*b**3 - m*b**4.
-b*(b - 1)*(b + 6)*(4*b - 1)/5
Let q be 108/20 - (25/(-20) + -42*(-22)/(-528)). Factor 0*h - 6/5*h**5 + 6*h**4 + q*h**2 + 78/5*h**3 + 0.
-6*h**2*(h - 7)*(h + 1)**2/5
Let w be (2 + 1)*2/(-3)*-2. Suppose 0 = -2*c + 2*q - 2, -c = -w*q + 17 - 1. Find g, given that 2*g**3 - 16*g**2 - c*g + 2*g**3 + 12*g**2 + 4*g**4 = 0.
-1, 0, 1
Let y(f) = -f**3 - 2*f. Let d(o) = -o**4 - 19*o**3 + 51*o**2 + 115*o + 70. Let a(c) = -3*d(c) + 24*y(c). Solve a(i) = 0 for i.
-14, -1, 5
Let f(j) be the third derivative of -j**8/420 + 82*j**7/525 - 91*j**6/25 + 2156*j**5/75 + 1372*j**4/15 + 1967*j**2. Let f(g) = 0. What is g?
-1, 0, 14
Suppose -1/4*n**5 - 3/4*n**2 + 0*n + 0 + 3/4*n**4 + 1/4*n**3 = 0. Calculate n.
-1, 0, 1, 3
Factor -135 - 55*x**4 + 6787*x**5 - 230*x**3 - 405*x - 450*x**2 - 3399*x**5 - 3393*x**5.
-5*(x + 1)**2*(x + 3)**3
Let c be 114/190*(-4)/(-3). Let u(z) be the second derivative of 3/100*z**5 + 26*z - 6/5*z**2 - 1/4*z**4 + c*z**3 + 0. Factor u(w).
3*(w - 2)**2*(w - 1)/5
Let q(u) = -8*u**4 + 115*u**3 - 469*u**2 + 622*u - 325. Let x(m) = -4*m**4 + 57*m**3 - 235*m**2 + 306*m - 163. Let f(s) = 3*q(s) - 5*x(s). Factor f(n).
-4*(n - 10)*(n - 2)**2*(n - 1)
Let t(w) = 265*w**2 - 5702*w + 47961. Let x(a) = -289*a**2 + 5704*a - 47961. Let n(y) = 5*t(y) + 4*x(y). Factor n(f).
(13*f - 219)**2
Determine f so that -688/3*f - 1456/3 + 20/3*f**2 = 0.
-2, 182/5
Suppose -3/5*p**4 - 39/5*p**3 - 204/5*p - 144/5*p**2 - 96/5 = 0. What is p?
-8, -2, -1
Let x(t) be the first derivative of t**5/15 - t**4/6 - 6*t**2 + 77. Let y(u) be the second derivative of x(u). Solve y(m) = 0 for m.
0, 1
Let y(q) = -q - 942 - q + 25*q + 945 - q**2. Let d be y(23). Find f such that -2/9*f**d + 0*f + 0 + 2/9*f**2 = 0.
0, 1
Let j(m) = 3*m**2 + 13*m - 6. Let n be j(-6). Let t be 4/n*0*2/4. Find h, given that 0*h**3 + t*h + 0 + 2/7*h**4 + 0*h**2 + 2/7*h**5 = 0.
-1, 0
Let 1/2*p**2 + 406802 - 902*p = 0. What is p?
902
Suppose 8*l + 1408 = -14*l. Let a be (-48)/l*(-8)/(-15). Let -1/5*b**2 + a + 1/5*b = 0. Calculate b.
-1, 2
Suppose -1093 = -39*f + 1013. Let u be ((-51)/f + 1)*4. Factor 4/3*j + u + 2*j**2.
2*(3*j + 1)**2/9
Let z(p) be the first derivative of 37*p**2/2 + 39*p + 110. Let c be z(-1). Factor -3/2*n**c - 3 + 11/2*n.
-(n - 3)*(3*n - 2)/2
Let h(u) be the first derivative of u**5 + 355*u**4/4 + 760*u**3 + 1240*u**2 - 5120*u - 4726. Suppose h(c) = 0. Calculate c.
-64, -4, 1
Let u(m) be the first derivative of -49*m**3/9 + 131*m**2 - 32*m/3 - 5025. Factor u(a).
-(a - 16)*(49*a - 2)/3
Let v(x) be the third derivative of -x**8/168 + 2*x**7/35 - x**6/15 - x**5/5 + 5*x**4/12 + 870*x**2 + x. Solve v(o) = 0 for o.
-1, 0, 1, 5
Let s(c) be the first derivative of c**4/14 - 8*c**3/7 - 33*c**2/7 + 520*c/7 - 2277. Factor s(q).
2*(q - 13)*(q - 4)*(q + 5)/7
Let r = 1670 + -995. Let t = -4724/7 + r. Suppose -1/7*u + 1/7*u**2 + 1/7*u**3 - t = 0. What is u?
-1, 1
Let t = -1 + 19. Let c be (-6)/t - -13*(-2)/(-6). Suppose -6*f + 4*f - 2*f**2 + c*f**2 - 2*f = 0. Calculate f.
0, 2
Let g(x) = 3*x**3 - 354*x**2 + 2. Let o be g(118). Let -2/3*h**o + 14/3*h - 20/3 = 0. What is h?
2, 5
Let y(v) be the second derivative of 1/20*v**4 + 0 - 62*v - 9/5*v**2 + 1/2*v**3. Find q such that y(q) = 0.
-6, 1
Let n = -978 + 2338. Let t = 1365 - n. Find h such that 2/11*h**t - 2/11*h**3 + 0 + 4/11*h**2 + 0*h - 4/11*h**4 = 0.
-1, 0, 1, 2
Let j(u) be the third derivative of -1 + 0*u + 0*u**3 + 0*u**5 + 0*u**4 - 1/42*u**7 + u**2 + 0*u**6. Factor j(z).
-5*z**4
Solve 9/4*u**3 + 6721/4*u + 280 + 5043/2*u**2 = 0.
-1120, -1/3
Suppose -18/17*t**2 + 146/17*t - 276/17 = 0. Calculate t.
3, 46/9
Let q(g) be the third derivative of -g**5/12 + 75*g**4/2 + 910*g**3/3 + 76*g**2 + g + 3. Factor q(i).
-5*(i - 182)*(i + 2)
Suppose -a = a + j - 54, -5*a - 3*j + 134 = 0. Factor -3*w - a*w**2 + 15*w**2 + 28 + 11*w**2 - 7*w.
-2*(w - 2)*(w + 7)
Let i be (-16)/(-6) - (-2)/6 - -67. Suppose -8*f = -f - i. Find q, giv