or -35*b**3 + 808*b**2 + 35*b - 5*b - 409*b**2 - 304*b**2.
-5*b*(b - 3)*(7*b + 2)
Suppose 0 = -4*d + 8, -2*d - d = 5*u + 49. Let t(p) = -7*p - 5. Let s be t(u). Factor 25*l**3 - 91*l**3 - s*l**2 - l**4 - 23*l**4 - 27*l - 3*l**5.
-3*l*(l + 1)**2*(l + 3)**2
Let b be 2/(-60)*-86 - 2/(-15). Suppose -d = -d + b*d. Factor d + 0*o - 1/8*o**2.
-o**2/8
Let k(d) be the third derivative of -5/36*d**4 + 0*d - 1/180*d**5 - 2*d**2 + 0 - 25/18*d**3. Suppose k(a) = 0. What is a?
-5
Let k = 301 + -2117/7. Let g = k - -37/21. Suppose -1/3*m + g*m**3 + 2/3 - 2/3*m**2 = 0. What is m?
-1, 1, 2
Let a be 15/(-12) + 1 - (-34)/8. Let q(z) be the first derivative of -3 + 3/2*z**2 - 3/4*z**a - 3*z + z**3. Factor q(g).
-3*(g - 1)**2*(g + 1)
Let 104 + 4*g**2 + 103*g + 29*g - 25*g + g = 0. Calculate g.
-26, -1
Factor 506/3*u**2 + 2/3*u**4 - 68/3*u**3 + 408*u + 216.
2*(u - 18)**2*(u + 1)**2/3
Let j be ((-410)/(-40) + -10)*(-1 + 9). Let c(t) be the second derivative of 3*t - 2/5*t**6 + 0*t**5 + 2/21*t**7 + 0*t**3 + 0 + 0*t**j + 4/3*t**4. Factor c(u).
4*u**2*(u - 2)**2*(u + 1)
Suppose -6*u + 3 = -21. Let n(x) be the first derivative of -2/25*x**5 + 2/15*x**3 + 0*x + 1/5*x**2 - 1/10*x**4 - u. Find w, given that n(w) = 0.
-1, 0, 1
Factor -909*b**2 + 3*b**4 - 1716*b + 3087*b**2 - 4056 - 132*b**3 - 27*b**3.
3*(b - 26)**2*(b - 2)*(b + 1)
Let v(u) = u**2 + u - 3. Let b(w) = 6*w**2 - 10*w - 51. Let x(p) = 3*b(p) - 21*v(p). Factor x(y).
-3*(y + 2)*(y + 15)
Let n be (-1)/(-2) + 12/8. Factor 162*h**2 - 4*h**3 + 4*h**4 + 0*h**4 + 4*h**5 - 166*h**n.
4*h**2*(h - 1)*(h + 1)**2
Suppose -h - 5*b + 26 = 0, b - 16 = -3*b. Factor 0 + h*m + 3/2*m**2.
3*m*(m + 4)/2
Let j = -467/4 + 118. Let d be 42/105 + 8/5. Factor -g + 0 - j*g**3 - 1/4*g**4 - 2*g**d.
-g*(g + 1)*(g + 2)**2/4
Let c(g) be the third derivative of 10*g**2 + 0*g**3 + 0 - 1/120*g**5 + 1/16*g**4 + 0*g. Factor c(k).
-k*(k - 3)/2
Let i(u) be the first derivative of 2*u**3/15 + 12*u**2/5 + 177. Find x, given that i(x) = 0.
-12, 0
Let u(g) be the third derivative of g**6/24 - g**5/4 + 10*g**3/3 + 192*g**2. Factor u(q).
5*(q - 2)**2*(q + 1)
Let x(i) be the second derivative of i**6/840 + i**5/140 - i**4/168 - i**3/14 - 2*i**2 + 10*i. Let f(q) be the first derivative of x(q). Factor f(w).
(w - 1)*(w + 1)*(w + 3)/7
Let p(u) be the first derivative of -121*u**5/30 + 11*u**4/6 - 2*u**3/9 - 176. What is q in p(q) = 0?
0, 2/11
Let r(d) = d**2 + d + 8. Let s be r(0). Suppose 3*f = -2*f + 10. Factor -12*z**3 + z**2 - 27 + 3*z**2 - 3*z**4 + 36*z + 10*z**f - s*z**2.
-3*(z - 1)**2*(z + 3)**2
Suppose 16*q - 38*q = 53*q - 150. Let y**q - 2/3*y + 0 = 0. What is y?
0, 2/3
Let p = -43 + 47. Factor 4 + 8*g + p + 4*g**2 + 4*g.
4*(g + 1)*(g + 2)
Let u(g) = -105*g**2 - 145*g. Let x(k) = 8*k**2 + 11*k. Let w(z) = -3*u(z) - 40*x(z). Find s such that w(s) = 0.
-1, 0
Let b(n) = -n**3 + 7*n**2 - 10*n + 27. Let u be b(6). Factor -14*s**u + 21*s + 11*s**3 - 2 + 20.
-3*(s - 3)*(s + 1)*(s + 2)
Factor -11/5*g + 12/5 + 1/5*g**3 - 2/5*g**2.
(g - 4)*(g - 1)*(g + 3)/5
Suppose -9*m + 12*m = 15. Factor -2*c + 3*c + 36*c**4 - 2*c**2 - c**m - 34*c**4.
-c*(c - 1)**3*(c + 1)
Let m be 46/14 - -5*14/(-245). Factor 2/7*u**m + 0 + 0*u + 0*u**2.
2*u**3/7
Let r(s) be the first derivative of -7*s**6/18 + 26*s**5/15 + 5*s**4/4 - 26*s**3/9 - 4*s**2/3 + 129. Suppose r(d) = 0. Calculate d.
-1, -2/7, 0, 1, 4
Suppose 5*y = 2*s - 24, 0 = 5*s - 4*y - 29 + 3. Factor -3*g**3 + 3*g**3 + 6*g + 2*g**3 - 15*g**2 + 9*g**2 - s.
2*(g - 1)**3
Let i(k) be the second derivative of k**4/114 - 8*k**3/57 + 107*k. Factor i(m).
2*m*(m - 8)/19
Suppose -8*a = 448 + 96. Let o be ((-4)/(-18) - a/180)*1. Factor 0*l + 0 + 0*l**2 - o*l**3.
-3*l**3/5
Let c(z) = 5*z**2 + 20*z + 6. Let p(j) = -3*j**2 - 10*j - 3. Let t(n) = 6*c(n) + 15*p(n). Let a(s) = -s**2 - s - 1. Let r(v) = 18*a(v) - t(v). Factor r(d).
-3*(d - 3)*(d - 1)
Let q(o) be the first derivative of -2*o**3/63 + 11*o**2/7 + 20*o/3 + 333. Factor q(m).
-2*(m - 35)*(m + 2)/21
Let d be 4/10 + 136/(-160). Let p = 3/10 - d. Factor -3/4*v**3 - p*v**2 + 0*v + 0.
-3*v**2*(v + 1)/4
Let q(x) be the second derivative of -x**5/120 + 11*x**4/36 - 35*x**3/9 + 50*x**2/3 + 2*x - 37. Find o, given that q(o) = 0.
2, 10
Let y = 41 - 57. Let v = -13 - y. Factor 0*c**2 - 9/2*c**4 - 3*c**v - 3/2*c**5 + 0*c + 0.
-3*c**3*(c + 1)*(c + 2)/2
Suppose 0*o = 2*p + 4*o - 16, 0 = p + 5*o - 11. Suppose -p*w = -w. Solve -4/3*z**2 + 2/3*z**3 + w*z + 0 + 2*z**4 = 0 for z.
-1, 0, 2/3
Let u(t) be the second derivative of -t**5/120 - 7*t**4/18 - 149*t. Solve u(v) = 0 for v.
-28, 0
Suppose 4*o = 4*t + 24, -5*o + t = -7*o + 12. Let w(x) = x**3 + 1. Let y(l) = -10*l**3 - 8*l**2 - 4*l - 6. Let k(f) = o*w(f) + y(f). Factor k(r).
-4*r*(r + 1)**2
Let z be -2 + 0 - ((-8602)/3542 + (-6)/14). Let -8/7 + z*y + 2/7*y**2 = 0. What is y?
-4, 1
Let y = 60 + -140. Let h = y - -82. Let -1/4*l**h + 0*l + 0 = 0. What is l?
0
Let m(i) = -i**2 + 5*i + 11. Let o be m(6). Factor 120 - 217 - o*k + 127 - 15*k**3 - 50*k**2.
-5*(k + 1)*(k + 3)*(3*k - 2)
Let s(f) = -2*f**3 - 60*f**2 + 4*f + 120. Let n be s(-30). Factor -1/2*g**3 + 0*g - g**2 + n + 1/2*g**4.
g**2*(g - 2)*(g + 1)/2
Let x(z) be the third derivative of z**6/600 - z**5/60 - z**4/15 + 2*z**3/5 - 93*z**2. Factor x(g).
(g - 6)*(g - 1)*(g + 2)/5
Solve 34/3*b**3 - 16*b**2 - 8/3 + 1/2*b**5 + 32/3*b - 23/6*b**4 = 0 for b.
2/3, 1, 2
Let l be 5 + (-4)/2 + 480/(-168). Let p(o) be the first derivative of -3 + 0*o - l*o**2 + 2/7*o**3. Solve p(i) = 0 for i.
0, 1/3
Let q(s) be the second derivative of s**6/255 + 2*s**5/85 - s**4/34 - 14*s**3/51 - 8*s**2/17 + 114*s. Let q(i) = 0. What is i?
-4, -1, 2
Let w(z) be the third derivative of -z**6/30 + 56*z**5/15 - 392*z**4/3 + 72*z**2. Solve w(p) = 0 for p.
0, 28
Suppose 1/3*k + 5/6*k**2 + 0 = 0. What is k?
-2/5, 0
Let g be (-1 - -4)/(30/(-8) - -9). Factor 1/7*a**2 + g*a + 4/7.
(a + 2)**2/7
Let v be 156/(-117)*(-54)/8. Suppose 0 = -4*w - 9 + v. Factor w - 5*d - 5/2*d**3 - 15/2*d**2.
-5*d*(d + 1)*(d + 2)/2
Let l(j) be the second derivative of 1/3*j**4 - 12*j - 1/5*j**5 + 0 + 10/3*j**3 + 6*j**2. Determine o, given that l(o) = 0.
-1, 3
Let b(t) be the third derivative of -t**6/900 + 7*t**5/75 - 8*t**4/3 + 160*t**3/9 - 249*t**2 - 2*t. Let b(u) = 0. Calculate u.
2, 20
Let s(l) be the second derivative of -1/150*l**6 + 0 + 1/50*l**5 - 2/5*l**2 + 1/20*l**4 - 2/15*l**3 + 42*l. What is z in s(z) = 0?
-1, 2
Let f = 4/5 - 27/40. Let k = f - -7/72. Suppose 8/9*d**2 - k*d**3 - 10/9*d + 4/9 = 0. Calculate d.
1, 2
Let x(t) = t**3 - 5*t**2 - 57*t - 102. Let r(v) = -v**3 + 5*v**2 + 57*v + 101. Let k(d) = 3*r(d) + 2*x(d). Factor k(z).
-(z - 11)*(z + 3)**2
Let c(r) = -r**4 + 22*r**3 - 14*r**2 - 20*r + 21. Let f(v) = 2*v**4 - 45*v**3 + 26*v**2 + 40*v - 43. Let l(m) = -5*c(m) - 2*f(m). Factor l(b).
(b - 19)*(b - 1)**2*(b + 1)
Suppose -k + 4*c - 8 = 0, 2*k = -3*c + 3 + 3. Factor -52*m - 19*m**2 + 4 + 188*m**2 + k.
(13*m - 2)**2
Let s(b) be the third derivative of 0 + 0*b + 27*b**2 - 3/140*b**5 + 3/56*b**4 - 1/14*b**3 + 1/280*b**6. Let s(h) = 0. What is h?
1
Suppose -122*v**2 + 3038*v**2 - v**4 + 2*v**4 + 62*v**3 + 46*v**3 = 0. What is v?
-54, 0
Let z(l) be the second derivative of l**6/90 - l**5/10 - 11*l**3/6 + l. Let k(j) be the second derivative of z(j). Let k(f) = 0. Calculate f.
0, 3
Let l(g) be the third derivative of -g**6/240 - 43*g**5/20 - 5547*g**4/16 + 6*g**2 + 19. Determine a so that l(a) = 0.
-129, 0
Let k = 1038 + -1038. Suppose 0 = 3*m - 3*w, 4*m - 3*w - 18 = -8*w. Factor 0 + 3/2*y**m + k*y.
3*y**2/2
Let x be 21/(-147) + (-2)/(-14). Determine q, given that x*q**2 - 1 - 7*q**2 + 8*q**2 = 0.
-1, 1
Suppose 47*t + 4*t = 153. Let x(i) be the first derivative of -2/15*i**5 - 12 + 2/3*i**t + 4/3*i**2 - 1/3*i**4 - 8/3*i. Determine y so that x(y) = 0.
-2, 1
Let q = -419 + 1270/3. Determine k, given that -4*k**3 - 4/3*k**5 + 8/3*k - 2/3*k**2 + q*k**4 - 1 = 0.
-3/4, 1
Let f(n) be the second derivative of -4*n**5/5 - 241*n**4/3 - 2440*n**3 - 1800*n**2 + 9*n + 1. Factor f(z).
-4*(z + 30)**2*(4*z + 1)
Let t(z) be the third derivative of -z**6/150 - z**5/150 - 2*z**3 - 48*z**2. Let h(k) be the first derivative of t(k). Find f such that h(f) = 0.
-1/3, 0
Suppose -2*z + 0 = -2*y + 136, -3*z - 332 = -5*y. Let i be ((-16)/y)/(2/(-6)). Factor -9/8*j**3 - i*