rivative of r**5/40 + 263*r**4/48 - 22*r**3/3 + 8*r**2 - 44. Factor m(c).
(c + 88)*(3*c - 1)/2
Suppose 5*n + 4134*w - 54 = 4128*w, -5*w + 45 = 3*n. Determine z so that 5/2*z**2 + n + 30*z = 0.
-12, 0
Let z be (-7 + 5 + -1 + 9)*3. Let d be (-45)/20*(-24)/z. Let 0*i - 5/2*i**4 - 2*i**2 + 1/2*i**5 + 0 + 4*i**d = 0. Calculate i.
0, 1, 2
Solve -4/3*o**5 + 220/3*o**4 + 2704*o**2 - 3328/3*o**3 + 0 + 0*o = 0 for o.
0, 3, 26
Suppose 0 = p - 52 + 48. Solve -p*m - 3 + 9*m**2 - m**3 - 2*m + 5*m - 2*m**3 - 2*m**4 = 0 for m.
-3, -1/2, 1
Let g(z) = -14*z**4 - 136*z**3 + 422*z**2 - 290*z + 6. Let q(m) = 26*m**4 + 272*m**3 - 844*m**2 + 579*m - 11. Let f(n) = -11*g(n) - 6*q(n). Factor f(h).
-2*h*(h - 2)*(h - 1)*(h + 71)
Suppose -156*s**2 + 18*s**4 - 8 + 40*s**3 + 65*s**2 - 40*s + 81*s**2 = 0. Calculate s.
-2, -1, -2/9, 1
Suppose 2*m + 72 = -4*l, -89*l = 7*m - 84*l + 81. Suppose 3*a + 4*n + 12 = 0, 4*a - 4*n - 9 = -n. Factor 3/5*i**m + 3/5*i**3 + a + 0*i.
3*i**2*(i + 1)/5
Let b(y) = -2 + 6 - 10*y - 8 - 5*y**2 + 19. Let h(o) = -o**2 - 22*o - 15. Let t be h(-20). Let n(k) = k - 1. Let j(a) = t*n(a) + b(a). Factor j(v).
-5*(v - 2)*(v - 1)
Let c(y) be the first derivative of 0*y**5 - 3/2*y**2 + y**4 - 199 - 1/6*y**6 - 2*y + 2/3*y**3. Factor c(q).
-(q - 2)*(q - 1)*(q + 1)**3
Let g = 715107 - 715107. Factor g + 23/5*k**2 - 3*k + 1/5*k**4 - 9/5*k**3.
k*(k - 5)*(k - 3)*(k - 1)/5
Let v(d) = -26*d**3 - 822*d**2 + 816*d - 8. Let k(t) = 16*t**3 + 548*t**2 - 544*t + 5. Let g(a) = 8*k(a) + 5*v(a). What is w in g(w) = 0?
0, 1, 136
Let w(p) = -p**2 - 4013*p + 1004009. Let m(u) = 2006*u - 502004. Let c(r) = -10*m(r) - 4*w(r). Solve c(x) = 0 for x.
501
Let l(i) = -i + 110. Let d(v) = 6*v + 6. Let s be d(-1). Let z be l(s). Factor 3*p**2 + 113 - p**4 - 225 - p + p**3 + z.
-(p - 2)*(p - 1)*(p + 1)**2
Let p(m) be the second derivative of -m**6/120 - m**5/80 + 13*m**4/48 + 25*m**3/24 + 3*m**2/2 + 4*m + 113. Factor p(r).
-(r - 4)*(r + 1)**2*(r + 3)/4
Suppose -3*w - 23 = -131. Let k = -32 + w. Suppose -k - 2*o**3 - 69*o**2 - 2*o + 0 + 73*o**2 + 4*o = 0. Calculate o.
-1, 1, 2
Factor 1/2*a - 1/2*a**2 + 3.
-(a - 3)*(a + 2)/2
Let c = 2346 - 781217/333. Let z = c + 994/1665. Factor 6/5*p - 3/5*p**2 - z.
-3*(p - 1)**2/5
Suppose 3*g - 803 - 13 = -z, -4*z - 4*g + 3264 = 0. Suppose -10*p = 7*p - z. Suppose -91*x**3 + p*x**3 + 4*x + 2*x**2 + 41*x**3 = 0. Calculate x.
-1, 0, 2
Find b such that 2720*b + 369*b**2 - 160*b**3 + 5*b**4 + 741*b**2 + 1191 + 254 = 0.
-1, 17
Let p(k) be the first derivative of 5*k**2/2 - 17*k + 14. Let u be p(4). Factor 0*f - 13 + 15*f - 32 + 9*f**u - 4*f**3 + 25*f**2.
5*(f - 1)*(f + 3)**2
Let p(s) be the third derivative of s**8/2184 - s**7/273 - s**6/260 + 17*s**5/390 - 5*s**4/78 - 1518*s**2. Suppose p(n) = 0. What is n?
-2, 0, 1, 5
Suppose -5*c - 6 + 16 = 0. Let -2 + 22 - 5*b**4 + 15*b**c - 30*b**2 + 14*b**3 + 11*b**3 - 25*b = 0. Calculate b.
-1, 1, 4
Factor -6 + 3/2*q**2 + 9/2*q.
3*(q - 1)*(q + 4)/2
Let j(w) = -3*w**2 + 3*w - 1. Let v(s) = -35*s**2 + 145*s + 1309. Let h(o) = -22*j(o) + 2*v(o). Determine z so that h(z) = 0.
-10, 66
Let b = -128 - -131. What is o in 147 - 46*o - 24*o**b - 3*o**4 - 2*o - 162 - 54*o**2 = 0?
-5, -1
Suppose 3*h - 17254 + 17248 = 0. Suppose -12/13 + 66/13*i**h + 22/13*i - 14/13*i**4 + 18/13*i**3 = 0. Calculate i.
-1, 2/7, 3
Let a be (8/(-14) - (-165)/(-42))*(-639)/17253. Suppose 5/2 + 7/3*y - a*y**2 = 0. What is y?
-1, 15
Let w(f) be the first derivative of 5*f**6/3 + 32*f**5/5 + 13*f**4/2 + 4*f**3/3 + 1303. Let w(j) = 0. What is j?
-2, -1, -1/5, 0
Let h = -4/148675 + 446053/1040725. Factor 186/7 + 87/7*k - h*k**2.
-3*(k - 31)*(k + 2)/7
Solve 14140*a - 29109*a + 512 + 0*a**2 - 4*a**2 + 14461*a = 0 for a.
-128, 1
Let l = 991692/17 + -58334. Solve -16/17 + l*r + 2/17*r**2 = 0.
-8, 1
Let j(k) = -1821*k + 337 + 908*k + 908*k. Let r be j(67). Solve 18/7 - 36/7*v**r + 12/7*v**3 - 6/7*v**5 + 18/7*v**4 - 6/7*v = 0.
-1, 1, 3
Let u = 53 + -49. Suppose -m + 0*h + 21 = u*h, 3*h = 4*m - 27. Factor -10*y**3 - 16 - 12*y**2 - m*y + 25*y**3 - 13*y**3 + 33*y.
2*(y - 2)**3
Suppose 567 = -17*v + 26*v. Suppose -6*r - v = -81. Find n, given that 8/3*n**r + 5/6*n**5 - 2/3*n**2 - 17/6*n**4 + 0*n + 0 = 0.
0, 2/5, 1, 2
Determine v, given that 3*v**2 - 2940 + 4758*v - 12477*v + 4782*v = 0.
-1, 980
Let r = -3481 - -24375/7. Let c(w) be the second derivative of 5/21*w**4 + 0 + r*w**2 - 22*w + 8/7*w**3. Factor c(u).
4*(u + 2)*(5*u + 2)/7
Let x(p) be the first derivative of 2*p**3/33 + 63*p**2/11 - 536*p/11 - 1366. Suppose x(n) = 0. What is n?
-67, 4
Let j(w) = w**4 + 4*w**3 + w + 1. Let r(h) = -7*h**4 - 88*h**3 - 6*h**2 + 151*h - 113. Let u(z) = -18*j(z) - 2*r(z). Let u(c) = 0. What is c?
-2, 1, 26
Factor 10*r - 7*r - 6*r**2 - 34722*r**3 + r**2 + 9 + 34723*r**3.
(r - 3)**2*(r + 1)
Let u(k) be the third derivative of k**5/30 + 7*k**4/3 - 215*k**3 - 6495*k**2. Determine a so that u(a) = 0.
-43, 15
Let z(v) be the first derivative of -v**6/720 - 9*v**5/40 - 243*v**4/16 - v**3 - 5*v**2/2 + 70. Let r(h) be the third derivative of z(h). Factor r(q).
-(q + 27)**2/2
Let l = 2854978/23 + -124128. Let 70/23*z - 38/23*z**2 + 2/23*z**3 - l = 0. Calculate z.
1, 17
Let d(o) be the first derivative of 2*o**4 + 127*o**3 - 1199*o**2/2 + 810*o + 1804. Suppose d(q) = 0. Calculate q.
-405/8, 1, 2
Factor -44/5*z**2 + 48/5*z - 2/5*z**4 - 18/5 + 16/5*z**3.
-2*(z - 3)**2*(z - 1)**2/5
Suppose -44*p + 592 = 30*p. Suppose -4*w + 4*n = 0, -2*n - 6 + p = -w. Factor 1/3 - 2*f + 7/3*f**4 - 8/3*f**w + 2*f**3.
(f - 1)*(f + 1)**2*(7*f - 1)/3
Solve 51/2*h + 3/2*h**3 + 15 + 12*h**2 = 0.
-5, -2, -1
Let o be ((-8)/9)/(536/(-2010)). Let r(i) be the third derivative of 1/12*i**5 + 0*i + 8*i**2 + o*i**3 - 25/24*i**4 + 0. Factor r(t).
5*(t - 4)*(t - 1)
Let u(y) be the second derivative of y**5/390 + y**4/78 + y**3/39 + 33*y**2 + 33*y. Let x(n) be the first derivative of u(n). What is i in x(i) = 0?
-1
Let p(z) be the third derivative of -55*z**2 + 0*z - z**4 + 2*z**3 + 1/4*z**5 + 0 - 1/40*z**6. Factor p(s).
-3*(s - 2)**2*(s - 1)
Let i = -16 - -20. What is j in -5*j**5 - 10*j**2 - 5*j - 6*j**i + 2*j**3 + j**4 + 10*j**4 + 5 + 8*j**3 = 0?
-1, 1
Let u(m) be the first derivative of -14*m**3/15 - 5577*m**2/5 + 3188*m/5 - 7673. Factor u(o).
-2*(o + 797)*(7*o - 2)/5
Let h(s) be the second derivative of -1/3*s**4 + 141*s + 0*s**2 + 0 + 8*s**3. Factor h(c).
-4*c*(c - 12)
Let y = -157 - -161. Determine m so that 638 - 6*m**3 + 2*m - y*m**2 - 638 = 0.
-1, 0, 1/3
Let c(u) be the third derivative of 136*u**2 + 0*u**5 - 5*u**3 + 1/120*u**6 + 0*u + 0 - 19/24*u**4. What is i in c(i) = 0?
-3, -2, 5
Let k(t) be the second derivative of t**7/21 - 88*t**6/15 + 923*t**5/5 + 660*t**4 + 675*t**3 + 3160*t. Suppose k(a) = 0. What is a?
-1, 0, 45
Let m be (1 - 8/(-10))/(1/55). Suppose 0 = -4*p + 4*g + 108, 3*p + 2*g + g = m. Factor p - 6*f**2 - 12 - 7*f**2 - 15*f + 10*f**2.
-3*(f - 1)*(f + 6)
Let r(d) = -d**2 + 115*d + 900. Let y(f) = f**2 - 12*f + 22. Let n be y(3). Let u(l) = 58*l + 450. Let m(b) = n*u(b) + 2*r(b). Find z, given that m(z) = 0.
-15
Let p(w) be the third derivative of w**5/60 + 13*w**4/8 + 85*w**3/3 - 424*w**2 - 2*w + 4. Factor p(v).
(v + 5)*(v + 34)
Determine x, given that 2*x**3 - 1032 + 166*x + 283*x**2 + 268*x + 78*x + 235*x**2 = 0.
-258, -2, 1
Let f = 116520 - 116517. Factor 26/9*w - 2/9*w**f - 20/9 - 4/9*w**2.
-2*(w - 2)*(w - 1)*(w + 5)/9
Determine h so that -53*h**2 + 57*h**2 - 150*h**3 + 132*h**4 + 33 - 13*h**4 - 190*h**2 + 34*h**4 + 135*h + 15*h**5 = 0.
-11, -1, -1/5, 1
Suppose 4*y - 24 + 8 = 0. Suppose -23 = -y*n - 3. Suppose -4 + 25*l**3 + 19*l**2 - 4*l**2 + 11*l**4 - n*l - 1 - l**4 = 0. Calculate l.
-1, 1/2
Let l(w) be the second derivative of w**4/24 - 13*w**3/4 + 56*w**2 - 356*w. Determine f, given that l(f) = 0.
7, 32
Suppose 4 = -15*b + 16*b. Factor 5*o**2 - 4*o**3 + 2*o**b + 11*o**4 - 4*o**4 - 8*o**4 - 2*o.
o*(o - 2)*(o - 1)**2
Let w = -4681 + 1006418/215. Let o = 46/215 - w. Factor 2/5*n**2 + 0 + o*n**3 + 1/5*n.
n*(n + 1)**2/5
Let c(m) be the second derivative of 3*m**5/100 - 279*m**4/10 + 7728*m**3 + 47040*m**2 - 24*m + 14. Factor c(s).
3*(s - 280)**2*(s + 2)/5
Let w(s) be the second derivative of s**4/18 + 130*s**3/3 - 784*s**2/3 + 2672*s. Factor w(d).
2*(d - 2)*(d + 392)/3
Let q(n) be the second 