z(q) = 0.
-1, 12
Let t(q) = 13*q**2 + 7*q - 4. Let n(g) = g**3 - 9*g**2 - 10*g + 4. Let o be n(10). Let b(a) = a**2 - a - 1. Let m(y) = o*b(y) - 2*t(y). Factor m(v).
-2*(v + 1)*(11*v - 2)
Suppose 3*l + 3*l = -12. Let w = 9 + l. Factor w*r**4 - 78*r**2 - 3*r**4 - r**5 + 80*r**2 - 5*r**3.
-r**2*(r - 2)*(r - 1)**2
Let s(g) = 5*g**2 - 58*g + 47. Let u(x) = -4*x**2 + 58*x - 50. Let b(a) = -2*s(a) - 3*u(a). Factor b(o).
2*(o - 28)*(o - 1)
Let q(u) = -12*u**2 - 3 - 21*u - 1 - 9*u**2 + 7*u**2. Let k(y) = 14*y**2 + 22*y + 4. Let m(w) = 3*k(w) + 4*q(w). Factor m(l).
-2*(l + 1)*(7*l + 2)
Let u = 12379/7 + -1768. What is m in 6/7 - 3/7*m - u*m**2 = 0?
-2, 1
Let v(o) be the second derivative of 16/3*o**3 + 7*o + 32*o**2 + 1/3*o**4 + 0. Find y, given that v(y) = 0.
-4
Suppose u + 47 = 3*u - b, -2*b + 98 = 4*u. Suppose -s - u = -5*s. Solve 5*v**2 - 2*v**2 + 3*v + s*v + 6 = 0 for v.
-2, -1
Let t(b) be the second derivative of 3*b**5/4 + 5*b**4/12 - 50*b**3/3 + 30*b**2 - 414*b - 2. Determine c, given that t(c) = 0.
-3, 2/3, 2
Suppose -9*b + 2*y = -5*b - 10, 5*y - 17 = -4*b. Factor 2*p**b + 32*p + 2*p**3 + 16*p**2 - 4*p**4 - 48*p.
-4*p*(p - 2)*(p - 1)*(p + 2)
Let a be 71/(-2)*(-16)/(-40)*-5. Let s = a - 69. Factor 3/2 - 3*l - 3/8*l**3 + 15/8*l**s.
-3*(l - 2)**2*(l - 1)/8
Let z(s) = -6*s**4 + 18*s**3 + 68*s**2 - 208*s + 93. Let a(g) = -g**4 + g**2 - 4*g - 1. Let d(i) = 21*a(i) - 3*z(i). Factor d(n).
-3*(n - 1)**2*(n + 10)**2
Let a(t) be the first derivative of t**8/2940 - t**7/980 + t**6/1260 - 4*t**3/3 - 17. Let k(c) be the third derivative of a(c). Let k(i) = 0. Calculate i.
0, 1/2, 1
Let c(f) be the first derivative of -2/9*f**2 + 22 - 2/27*f**3 + 0*f + 1/18*f**4. Let c(w) = 0. What is w?
-1, 0, 2
Let g(c) be the first derivative of c**6/42 - 13*c**5/35 + 15*c**4/7 - 16*c**3/3 + 32*c**2/7 - 96. Let g(j) = 0. What is j?
0, 1, 4
Let d = -36/143 + 80/143. Determine x, given that 0 - 6/13*x**2 + 2/13*x**3 + d*x = 0.
0, 1, 2
Let m(o) = -3*o**2 + 2*o**2 + 4 + 14*o + 0*o**2 + 0. Let t(d) = 3*d**2 - 57*d - 15. Let r(c) = 15*m(c) + 4*t(c). Factor r(n).
-3*n*(n + 6)
What is c in -10*c**2 - 44*c**3 - 20*c**2 - 7*c**3 + 54*c**3 = 0?
0, 10
Let m = 7873/48 - 164. Let c(d) be the second derivative of -2*d + 0*d**2 - m*d**4 + 0*d**3 + 0. What is x in c(x) = 0?
0
Let q(l) be the third derivative of -l**9/1008 - 3*l**8/560 - 3*l**7/280 - l**6/120 - 7*l**3/6 + 7*l**2. Let v(i) be the first derivative of q(i). Factor v(s).
-3*s**2*(s + 1)**3
Let i(h) be the second derivative of -3/4*h**4 - 1/10*h**6 + 0*h**2 - h + 1/2*h**3 + 8 + 9/20*h**5. Suppose i(y) = 0. What is y?
0, 1
Suppose 2*u + 5*t = -9, -2*t + 0*t = -3*u + 15. Solve -2 + 0*o**u - 79*o + o**3 + 76*o = 0 for o.
-1, 2
Let x = 2101/9 - 233. Let v = 80 - 76. Find i such that -8/9*i + 4/9*i**5 - 8/9*i**2 + x*i**3 + 10/9*i**v - 2/9 = 0.
-1, -1/2, 1
Let s(c) be the third derivative of c**5/12 + 55*c**4/12 + 95*c**3/2 + 13*c**2. Suppose s(v) = 0. Calculate v.
-19, -3
Let l be ((-28)/12)/(-7) + 301/(-165). Let a = -12/11 - l. Factor 1/5*g**2 + 1/5 + a*g.
(g + 1)**2/5
Factor 17 + 3*l**2 - 36 - 35 + 51*l.
3*(l - 1)*(l + 18)
Let l(z) be the third derivative of -z**7/490 - 9*z**6/280 - z**5/10 - 7*z**2 - 3. Let l(r) = 0. Calculate r.
-7, -2, 0
Let h be 58/56 - (-5)/175*-10. Let v(y) be the first derivative of 7/9*y**3 + 1/3*y**2 + 1 + 0*y + 1/3*y**5 + h*y**4 + 1/18*y**6. What is n in v(n) = 0?
-2, -1, 0
Suppose -3*j + 8 = -x, 5*j + 1 = -4*x + 3. Factor 3*y + 23*y - y**2 - 2*y - y**j - 72.
-2*(y - 6)**2
Let t(s) be the second derivative of -7/75*s**6 + 0 + 7*s - 1/25*s**5 + 4/15*s**3 + 11/30*s**4 - 2/105*s**7 - 4/5*s**2. Suppose t(x) = 0. What is x?
-2, -1, 1/2, 1
Let -2/3*f**2 - 2/3*f + 4/3 = 0. Calculate f.
-2, 1
Factor 1/3*k**4 + 0*k**2 + 2/3*k**3 + 0 - k**5 + 0*k.
-k**3*(k - 1)*(3*k + 2)/3
Suppose -4*c = 3*r - 0*r - 28, c = -4*r + 20. Suppose 25 = 12*l - 11*l. Factor -27*g**5 + l*g**5 + c*g**4 - g**3 - g**3.
-2*g**3*(g - 1)**2
Let b(u) = -u**2 + 20*u + 5. Let h be b(19). Determine m so that h + 37*m + 27*m + 5*m**2 - 24*m + 56 = 0.
-4
Let w be (-4)/30 + 235/75. Factor 12*z - 2*z**3 - 29*z**2 - 6 + 20*z**2 - z**3 + 3*z**4 + w*z.
3*(z - 1)**3*(z + 2)
Factor 3*b**3 + 25*b**2 - 53/3*b + 3.
(b + 9)*(3*b - 1)**2/3
Let s(o) = -o**3 + 4*o**2 - 2*o. Let r(c) = 7*c**3 + 49*c**2 - 2171*c + 19683. Let u(h) = r(h) + 8*s(h). Find q such that u(q) = 0.
27
Let n(t) be the third derivative of -8/3*t**3 - 6*t**2 - 1/15*t**5 + 0*t - 5/6*t**4 + 0. Suppose n(p) = 0. Calculate p.
-4, -1
Suppose 2*a + 1326 = 8*a. Factor a*w + 3*w**3 + 19*w**2 + 26*w**2 - 192 - 77*w.
3*(w - 1)*(w + 8)**2
Factor -69/7*s**2 + 0*s + 0 - 3/7*s**3.
-3*s**2*(s + 23)/7
Let f = 3 + 1. Let q(d) = d**4 - d**3 + 1. Let m(b) = -6 + 2 + 14*b**3 - 13*b**3 - 7*b**4. Let h(k) = f*q(k) + m(k). Find n, given that h(n) = 0.
-1, 0
Let r(k) = 15*k**3 - 5*k. Let p(u) = u**4 + 15*u**3 - 4*u. Let f(l) = 5*p(l) - 4*r(l). Suppose f(q) = 0. Calculate q.
-3, 0
Let h(k) be the first derivative of k**6/36 + k**5/6 + k**4/4 - 2*k**3/9 - 2*k**2/3 + 55. Factor h(f).
f*(f - 1)*(f + 2)**3/6
Let w = -91/12 + 37/4. Let 1/3*b**3 - w*b**2 + 2/3*b - b**5 + 0 + 5/3*b**4 = 0. What is b?
-1, 0, 2/3, 1
Suppose -14/3*s**3 + 8*s**2 + 4 + 50/3*s = 0. What is s?
-1, -2/7, 3
Let q be (-300)/(-180)*12/10. Let z(p) be the first derivative of -2/7*p**3 - 2/7*p + 5/14*p**4 - 5/7*p**q + 9 + 8/35*p**5. Determine v, given that z(v) = 0.
-1, -1/4, 1
Suppose 4*l**2 + 0*l - 3/2*l**4 + 0 + 5*l**3 = 0. Calculate l.
-2/3, 0, 4
Let c(f) = -f**3 - 19*f**2 - f - 21. Let r be c(-19). Let d be (-5 + (5 - r))*(-10)/(-4). Factor -24/5*b**4 - 21/5*b**3 + 0*b - 6/5*b**2 - 9/5*b**d + 0.
-3*b**2*(b + 1)**2*(3*b + 2)/5
Let y(n) = 7*n**3 - 81*n**2 + 146*n + 42. Let u(x) = 14*x**3 - 161*x**2 + 292*x + 85. Let q(s) = -6*u(s) + 11*y(s). What is m in q(m) = 0?
-2/7, 3, 8
Factor -11 + 12*y - 60*y - 48 - y**3 + 15*y**2 - 5.
-(y - 8)**2*(y + 1)
Let 22*v**3 + v**5 - 12*v**3 + v**4 - 2*v**5 + 24*v + 12*v**3 - 44*v**2 - 2*v**4 = 0. What is v?
-6, 0, 1, 2
Suppose 5*x - 87 + 7 = 0. What is d in -11*d**2 - 16*d**2 + x + 4*d + 15*d**2 = 0?
-1, 4/3
Let i = -612 - -615. Factor -1/2 - 3/2*g**2 + 3/2*g + 1/2*g**i.
(g - 1)**3/2
Let 2712057*p**5 + 50*p**4 + 1120*p**2 - 640*p - 570*p**3 + 45*p**4 - 2712062*p**5 = 0. Calculate p.
0, 1, 2, 8
Solve 81 + 85 + a**2 + 24 + 19 - 210*a = 0 for a.
1, 209
Suppose -c + 21 = 20. Let u be 0*((-2)/4)/c. Factor 2/9*f**3 + 0*f + u + 2/9*f**5 + 4/9*f**4 + 0*f**2.
2*f**3*(f + 1)**2/9
Let s(z) = z**3 - 8*z**2 + 12*z - 15. Let u be s(7). Find t, given that -6*t**2 + 8 + t**2 - 3*t**2 + u*t - 4*t**2 = 0.
-1/3, 2
Let z(j) be the third derivative of j**5/12 - 205*j**4/12 - 84*j**2. Solve z(x) = 0.
0, 82
Let r = 0 - -6/5. Let u(x) be the first derivative of 0*x**2 + 3/2*x**4 - 2/3*x**3 - r*x**5 - 4 + 0*x + 1/3*x**6. Factor u(w).
2*w**2*(w - 1)**3
Let m = -8 - -12. Suppose m*y = 3*t + 2*t + 2, -3*y + 17 = 4*t. Factor 55 - 55 - t*i**2.
-2*i**2
Let i(x) be the third derivative of -x**5/30 - 37*x**4/12 + 38*x**3/3 + 34*x**2 - 8. Factor i(j).
-2*(j - 1)*(j + 38)
Suppose 0*w = 3*w + 12. Let y(o) = -o**3 - 7*o. Let l be (-2 - -3)/(1 + (3 - 3)). Let s(v) = -v**3 - v. Let r(t) = l*y(t) + w*s(t). Solve r(a) = 0 for a.
-1, 0, 1
Let g = 83315/7 + -11900. Factor -9/7 - j**2 + 1/7*j**3 + g*j.
(j - 3)**2*(j - 1)/7
Let q(n) be the first derivative of -3*n**5 + 5/6*n**6 + 0*n + 5/2*n**4 + 0*n**2 - 12 + 0*n**3. Factor q(v).
5*v**3*(v - 2)*(v - 1)
Factor 58*n + 59 + 13 + 2*n**2 - 12 - 4*n**2.
-2*(n - 30)*(n + 1)
Suppose 470*f = 461*f. Let 1/3*m**2 + f - 1/3*m**4 + 0*m**3 + 0*m = 0. What is m?
-1, 0, 1
Factor -11236/19 - 318*i - 216/19*i**2 - 2/19*i**3.
-2*(i + 2)*(i + 53)**2/19
Let k(t) = -5*t**2 - 35*t + 15. Let o(l) = 1. Let x(c) = k(c) + 25*o(c). Suppose x(i) = 0. Calculate i.
-8, 1
Let z(f) = -f**3 - 4*f**2 - 5*f - 2. Let m be ((-3)/9)/((-1)/(-9)). Let w be z(m). Determine y, given that 0 + 4/3*y - 4/3*y**3 + 2*y**w - 2*y**2 = 0.
-1, 0, 2/3, 1
Let r = 149 + -2233/15. Let f be (-11)/(-308) + 2788/28560. Solve -f*i**2 - r*i + 0 = 0.
-1, 0
Let j(c) = c**2 - 12*c - 13. Let u be j(11). Let h be (3 - (-70)/u)/(1/3). Suppose -1/4 - 1/4*i**3 + h*i + 1/4*i**2 = 0. What is i?
-1, 1
Suppose 61 = -4*s + 57. Let j be ((-21)/(-3) - s)*6/12. Solve -1/3*l - 4/3*l