t v be (180/48)/((-2)/(-8)). Let p be v/10*(3 - 1). Factor 1 - 3*z**2 - 4 + p*z + 3.
-3*z*(z - 1)
Let z(b) = 18212*b**4 - 11624*b**3 + 2176*b**2 - 80*b. Let k(y) = 6071*y**4 - 3874*y**3 + 725*y**2 - 27*y. Let h(c) = 16*k(c) - 5*z(c). Let h(s) = 0. What is s?
0, 2/31, 2/7
Let q(c) be the second derivative of 2*c**7/21 + 2*c**6/5 - 3*c**5 - 19*c**4/3 + 20*c**3 - 278*c. Solve q(p) = 0.
-5, -2, 0, 1, 3
Let v(j) be the second derivative of 0*j**3 - 8/45*j**6 - 2/9*j**4 + 2/63*j**7 + 16*j + 0 + 1/3*j**5 + 0*j**2. Suppose v(w) = 0. What is w?
0, 1, 2
Let x be (7 + -8)*(4 + 6/(-1)). Let f(i) be the first derivative of -3/4*i**3 + 11/8*i**x - 2 - 1/2*i. Solve f(k) = 0.
2/9, 1
Let v = -303 + 305. Suppose 0 = -2*n - v*n - 3*n. Factor 5/2*g**2 + 1/2*g**4 - 2*g**3 + n - g.
g*(g - 2)*(g - 1)**2/2
Let o = 5 - 3. Suppose -6*t = -o*t - 20. Factor 2*y**t + 12*y**3 + 0*y + 3*y**4 - 13*y**2 + 21*y**2 + 2*y + 5*y**4.
2*y*(y + 1)**4
Let x(q) = -q**3 + q. Suppose -3*f = -5*f, -10 = 5*i - f. Let b(a) = 2*a**3 + 4*a**2 - 2*a - 4. Let u(y) = i*x(y) + b(y). Factor u(o).
4*(o - 1)*(o + 1)**2
Let r be 8/60 - 56/(-90)*3. Let v(a) be the third derivative of 0*a + 1/21*a**3 - 4/105*a**6 + 0 + 4/105*a**5 + 1/12*a**4 + 3*a**r. Factor v(w).
-2*(w - 1)*(4*w + 1)**2/7
Let d = 14 - 12. Factor 4*f**d - 4 + 2*f**2 - 5*f**2 - 3*f**2 + 6*f.
-2*(f - 2)*(f - 1)
Let t = 1803 + -1801. Find l, given that 5/3*l**t + 5/3*l**3 - 5/3 - 5/3*l = 0.
-1, 1
Let w = 29/795 + 26/159. What is o in w*o + 2/5*o**2 + 0 + 1/5*o**3 = 0?
-1, 0
Let n(h) be the first derivative of 2*h**5/45 - 11*h**4/9 + 118*h**3/9 - 616*h**2/9 + 1568*h/9 - 145. Let n(x) = 0. What is x?
4, 7
Let k = -87/2 + 45. Let a(w) be the first derivative of 1/6*w**6 + 7 - k*w**2 + 1/2*w**4 + 2/3*w**3 - 3/5*w**5 + w. Determine r so that a(r) = 0.
-1, 1
Let o(s) = s**3 - 4. Let p be o(0). Let l be 11*(5 - 6)*p/22. What is w in 12*w + 15/2*w**l + 3/2*w**3 + 6 = 0?
-2, -1
Let d(w) be the first derivative of 0*w - 5/6*w**6 + 0*w**3 + 5/4*w**4 + 0*w**5 - 11 + 0*w**2. Solve d(t) = 0.
-1, 0, 1
Solve 57/7*t**2 - 15*t - 3/7*t**3 + 51/7 = 0 for t.
1, 17
Let k(f) be the third derivative of -f**6/40 + 7*f**5/20 - f**4 - 8*f**3 - 33*f**2. Suppose k(m) = 0. What is m?
-1, 4
Let q(y) be the second derivative of -y**4/3 + 2*y**3/3 + 12*y**2 + 11*y - 3. Factor q(a).
-4*(a - 3)*(a + 2)
Let t(j) be the third derivative of j**8/112 - j**7/70 - 3*j**6/40 + j**5/20 + j**4/4 - 60*j**2. Factor t(s).
3*s*(s - 2)*(s - 1)*(s + 1)**2
Suppose -3*u = -0*u - 12. Factor 19 + 46*v**2 - 3 - 7*v**3 + u*v**4 + 48*v + 31*v**3 + 6*v**2.
4*(v + 1)**2*(v + 2)**2
Solve -4/5*a - 4 + 17*a**2 - 73/5*a**3 + 7/5*a**4 + a**5 = 0 for a.
-5, -2/5, 1, 2
Factor -6*r**2 - 6*r**2 - 7168 + 7*r**2 - 3628 - 450*r + 671.
-5*(r + 45)**2
Let a be ((-30)/(-180))/((-1)/(-2))*1. Let b(q) be the first derivative of 0*q + a*q**2 - 1/12*q**4 + 1/9*q**3 + 2. Factor b(k).
-k*(k - 2)*(k + 1)/3
Factor 0 - 3*a**2 - 4*a - 1/2*a**3.
-a*(a + 2)*(a + 4)/2
Let x = 12 - -3. Suppose x = 2*f - 5*t - 1, t = -2*f + 16. Solve 2*y**2 - f + 7 - 2*y**4 + y**4 = 0 for y.
-1, 1
Find h, given that 7 - 98*h + 17 + 14*h**3 + 80*h**2 - 32*h**3 + 12*h**3 = 0.
1/3, 1, 12
Let g(w) = 4*w**3 + 8*w**2 - 57*w + 50. Let s(v) = -2*v**3 - 4*v**2 + 28*v - 24. Let i(p) = -4*g(p) - 10*s(p). Suppose i(o) = 0. What is o?
-5, 1, 2
Let g(h) be the first derivative of 1/36*h**6 + 0*h - 7/2*h**2 - 5/36*h**4 + 3 - 2/9*h**3 + 1/45*h**5. Let d(b) be the second derivative of g(b). Factor d(i).
2*(i - 1)*(i + 1)*(5*i + 2)/3
Let o(j) = -j**4 - j**3 - 1. Let v(l) = l**4 + 13*l**3 + 4*l**2 - 8*l + 5. Let x(q) = 5*o(q) + v(q). Find r such that x(r) = 0.
-1, 0, 1, 2
Let v(b) be the third derivative of b**5/40 + 7*b**4/16 + 3*b**3 + 54*b**2. Factor v(q).
3*(q + 3)*(q + 4)/2
Let h(d) be the third derivative of d**8/20160 - d**7/5040 - d**5/30 - 9*d**2. Let r(f) be the third derivative of h(f). Suppose r(v) = 0. Calculate v.
0, 1
Let n be 108180/56*(-16)/20. Let g = n + 1548. Factor 44/7*i**2 - 48/7*i + 2/7*i**4 + g - 16/7*i**3.
2*(i - 3)**2*(i - 1)**2/7
Let a(t) be the third derivative of -t**7/105 + t**6 - 419*t**5/15 - 155*t**4 - 961*t**3/3 + 10*t**2 + 1. Solve a(w) = 0 for w.
-1, 31
Determine x, given that 108*x + 15*x**2 + 54*x**2 - 423*x + 2*x**3 - 7*x**3 + 16*x**2 - 405 = 0.
-1, 9
Suppose 345*z**2 + 64*z**3 - 229*z**3 + 276*z**4 - 281*z**4 - 175*z = 0. Calculate z.
-35, 0, 1
Let u(a) be the second derivative of a**9/20160 - a**7/1120 + a**6/480 - 3*a**4/4 - 5*a. Let t(i) be the third derivative of u(i). Let t(y) = 0. Calculate y.
-2, 0, 1
Suppose -30*d = -26*d + 20. Let v be 4/(d/(-3)*(-64)/(-80)). Factor 4/11 + 2/11*u - 2/11*u**v - 4/11*u**2.
-2*(u - 1)*(u + 1)*(u + 2)/11
Let m be ((-30)/25)/((-2)/10). Let u(w) be the second derivative of 1/105*w**m - 1/21*w**3 - 7*w + 0*w**2 + 1/14*w**4 + 0 - 3/70*w**5. Solve u(f) = 0.
0, 1
Factor -2/9*a**4 + 0 - 10/3*a**3 + 32/9*a**2 + 0*a.
-2*a**2*(a - 1)*(a + 16)/9
Let q(m) be the first derivative of 12 + 5*m + 5/3*m**3 - 5*m**2. Factor q(g).
5*(g - 1)**2
Let k(l) be the first derivative of 0*l + 7 + 1/30*l**6 - 1/20*l**4 - 1/25*l**5 + 0*l**2 + 1/15*l**3. Factor k(x).
x**2*(x - 1)**2*(x + 1)/5
Suppose 97 + 5 = 51*x. Factor 0 + 0*m + 3/10*m**3 + 1/2*m**4 - 1/5*m**x.
m**2*(m + 1)*(5*m - 2)/10
Let t(o) be the second derivative of -o**8/112 - 3*o**7/70 - o**6/20 + 31*o**2/2 - 7*o - 3. Let j(r) be the first derivative of t(r). Factor j(q).
-3*q**3*(q + 1)*(q + 2)
Let i(p) be the second derivative of -p**4/72 - 2*p**3/3 - 12*p**2 + 16*p + 3. What is r in i(r) = 0?
-12
Suppose 0 = -5*u - 4*d - 378, -5*u - 262 - 106 = -d. Let g = u - -74. Factor 3/5*j**5 + 2/5*j**3 + 0*j + g + j**4 + 0*j**2.
j**3*(j + 1)*(3*j + 2)/5
Let u = 19006/3 - 6226. Let y = -108 + u. Determine o so that 2/3*o**4 - 2/3*o**5 + 0 + 0*o + y*o**3 + 0*o**2 = 0.
-1, 0, 2
Let u(t) be the first derivative of 3*t**4/10 + 8*t**3/5 - 111*t**2/5 - 48*t + 440. Let u(d) = 0. Calculate d.
-8, -1, 5
Suppose 5*j + 5*r = -15, -3 = -4*j - r - 0. Let 0 + 0 - 6*v - 2*v**3 - 6*v**j - 2 = 0. What is v?
-1
Let u(v) = -2*v**3 + 18*v**2 - 76. Let c(o) = -o**3 + 6*o**2 - 27. Let g(h) = -14*c(h) + 5*u(h). Factor g(n).
2*(n + 1)**2*(2*n - 1)
Let r = 31 + -28. Determine i so that 6*i**3 + 5*i - 6*i**r - 4*i**3 - i = 0.
-1, 0, 1
Let h be 7*1*(-18)/(-63). Suppose 19 = -h*y + 23. Let -i**3 - 2 - 2*i**3 + 3*i**y - i**2 + i + 2*i**3 = 0. What is i?
-1, 1, 2
Let d be ((-36)/(-30))/((-9)/(-30)). What is j in -10 + 15*j + 10*j**2 - 34*j**3 + 14*j**3 + j**5 + d*j**5 = 0?
-2, -1, 1
Let x(r) be the second derivative of -1/2*r**5 + 10/3*r**3 - 1/6*r**6 + 17*r - 10*r**2 + 5/4*r**4 + 0. Factor x(g).
-5*(g - 1)**2*(g + 2)**2
Let t(g) be the second derivative of -g**7/1470 + g**6/420 - g**5/420 + 6*g**2 - 9*g. Let q(d) be the first derivative of t(d). Factor q(r).
-r**2*(r - 1)**2/7
Let y(x) = 109*x + 1308. Let v be y(-12). Factor 1/2*h**2 - 1/4*h + v - 1/4*h**3.
-h*(h - 1)**2/4
Suppose -15*w = -11*w + 20. Let r(y) = 12*y**3 + 17*y**2 + 3*y - 2. Let k(a) = a**3 + a**2. Let s(h) = w*k(h) + r(h). Factor s(l).
(l + 1)**2*(7*l - 2)
Let m be -1 - (5 - (2 + 9)). Let v(t) be the second derivative of 1/5*t**6 - 1/2*t**4 + 0*t**2 + 0 - m*t - 1/10*t**5 + 1/3*t**3. Factor v(w).
2*w*(w - 1)*(w + 1)*(3*w - 1)
Suppose 0 = 394*h - 410*h. Factor 2/23*z - 8/23*z**2 + h.
-2*z*(4*z - 1)/23
Let o be (0 - -1 - 2)*(-9 + 7). Let g be (-4 + (-8)/(-2))/o. Factor -1/6*d**4 + 5/6*d**3 + 2/3*d + g - 4/3*d**2.
-d*(d - 2)**2*(d - 1)/6
Suppose -2*p + 3*p - 2 = 0. Suppose -4*w**4 - 37*w**2 + 79*w**p - 38*w**2 = 0. What is w?
-1, 0, 1
Let q(g) be the second derivative of -g**7/630 - g**6/180 - g**5/180 + 3*g**2/2 + 9*g. Let s(i) be the first derivative of q(i). Factor s(v).
-v**2*(v + 1)**2/3
Let j(c) be the first derivative of -c**6/15 - 8*c**5/25 + 2*c**4/5 + 44*c**3/15 - 3*c**2/5 - 36*c/5 + 151. Let j(f) = 0. What is f?
-3, -1, 1, 2
Let n(x) = -x**3 - 50*x**2 - 32*x + 835. Let v be n(-49). Suppose -12*j**v + 8/3 - 28/3*j = 0. Calculate j.
-1, 2/9
Determine u so that 1 + 7/3*u**4 - 16/3*u + 10*u**2 - 8*u**3 = 0.
3/7, 1
Factor -t**3 - 4 + 0*t - t**3 + 0*t + 2*t + 4*t**2.
-2*(t - 2)*(t - 1)*(t + 1)
Let b(m) be the third derivative of m**5/240 - m**4/8 - 13*m**3/24 + 285*m**2. Factor b(j).
(j - 13)*(j + 1)/4
Suppose 4*n 