 24 = -3*u. Let k(q) = 5*q**2 + 4*q - 1. Let w(m) = -11*m**2 - 8*m + 3. Let t(r) = d*w(r) - 7*k(r). Suppose t(x) = 0. What is x?
-1
Let v(u) be the second derivative of -u**4/3 - 8*u**3/3 - 8*u**2 + 3*u. Solve v(l) = 0 for l.
-2
Let r(b) be the second derivative of 1/48*b**4 + 1/4*b**2 - 18*b - 1/8*b**3 + 0. Suppose r(a) = 0. What is a?
1, 2
Let v be ((-60)/350 - 8/(-14)) + (-28)/(-55). Factor -v*z - 1/11*z**2 - 25/11.
-(z + 5)**2/11
Let d(t) = 5*t**3 + 10*t**2 + 9*t. Let g(c) be the third derivative of -c**6/12 - c**5/3 - 19*c**4/24 - 18*c**2. Let m(j) = 9*d(j) + 4*g(j). Factor m(f).
5*f*(f + 1)**2
Let g be (-12)/48 - (-2)/8. Suppose g - 80/3*q**3 + 5*q - 10/3*q**2 - 5*q**5 - 70/3*q**4 = 0. What is q?
-3, -1, 0, 1/3
Let z be (-5 - 1)/(0 + -1). Suppose -x - z = -3*x. Solve -9*m**4 + m**2 + m**4 + 7*m**4 + m**x - m**5 = 0.
-1, 0, 1
Let l(u) be the third derivative of 3*u**5/130 + 31*u**4/39 - 28*u**3/39 - 38*u**2 - 3*u. Factor l(v).
2*(v + 14)*(9*v - 2)/13
Let p(x) = -x**3 - 4*x. Let s(w) = w**3 + 2*w. Let t(h) = -3*p(h) - 5*s(h). Factor t(y).
-2*y*(y - 1)*(y + 1)
Let b = 178 - 81. Let w = 100 - b. Suppose -13/2*f**3 - 1/2*f**5 + 0 - 2*f + 6*f**2 + w*f**4 = 0. What is f?
0, 1, 2
Factor -325*i - 13*i**3 + 363/2*i**2 + 1/4*i**4 + 625/4.
(i - 25)**2*(i - 1)**2/4
Let s(i) be the third derivative of 0*i**3 - 1/10*i**7 + 0 + 0*i + 0*i**4 - 7*i**2 + 3/50*i**5 + 1/200*i**6. Find j such that s(j) = 0.
-2/5, 0, 3/7
Let m(v) be the first derivative of 12/5*v**5 + 21/4*v**4 + 31 - 42*v**2 + 24*v - 18*v**3. Let m(d) = 0. What is d?
-2, 1/4, 2
Let i(n) = -25*n**2 - 82*n - 43. Let o(r) = 50*r**2 + 166*r + 85. Let b(l) = 13*i(l) + 6*o(l). Find t, given that b(t) = 0.
-7/5
Let x(n) be the second derivative of -3*n**5/100 + 48*n**4/5 - 6144*n**3/5 + 393216*n**2/5 - 3*n - 27. Suppose x(q) = 0. What is q?
64
Factor -x - 11/5 + x**3 + 11/5*x**2.
(x - 1)*(x + 1)*(5*x + 11)/5
Let a(l) = -2*l + 12. Let n(d) = d - 6. Let u(t) = -3*a(t) - 5*n(t). Let i be u(11). Find b, given that 2*b**2 + b**2 - i*b**2 = 0.
0
Let o = 33 + -22. Factor 17*r - o*r + 9*r**2 + 3*r**3 + 0*r**3.
3*r*(r + 1)*(r + 2)
Let i be (-18)/(-351)*13*3 - -1. Factor 2*s**4 + 1/2*s**5 + 5/2*s**i + 0*s + 0 + s**2.
s**2*(s + 1)**2*(s + 2)/2
Determine d so that -10035*d**2 + 10033*d**2 + 38 - 268 + 232*d = 0.
1, 115
Suppose 6*l - 5*l = 4*r - 43, -r + 2*l = -9. Let d = 11 - r. Factor d*t - 1/5*t**3 + 1/5*t**5 + 1/5*t**2 - 1/5*t**4 + 0.
t**2*(t - 1)**2*(t + 1)/5
Let p(z) be the third derivative of z**7/105 + z**6/60 - z**5/6 + z**4/4 - 35*z**2 - z. Suppose p(v) = 0. Calculate v.
-3, 0, 1
Let v(p) be the second derivative of -p**7/210 + p**6/30 - p**5/12 + p**4/12 - 5*p**2/2 - 2*p. Let y(f) be the first derivative of v(f). Solve y(d) = 0 for d.
0, 1, 2
Let m(u) be the first derivative of 3/28*u**4 + 44 + 0*u**5 - 1/14*u**6 + 0*u**2 + 0*u + 0*u**3. Factor m(f).
-3*f**3*(f - 1)*(f + 1)/7
Let m = -31 + 31. Let y(h) be the third derivative of 0 - 1/20*h**6 + 0*h**3 + 1/112*h**8 + 3*h**2 + 0*h + 1/8*h**4 + 0*h**5 + m*h**7. Factor y(l).
3*l*(l - 1)**2*(l + 1)**2
Suppose -9*s + 17 = -10. Let w(g) be the second derivative of -3/80*g**5 + 1/48*g**4 - 1/8*g**2 + 0 + 7*g + 1/8*g**s. Determine q, given that w(q) = 0.
-1, 1/3, 1
Let l be (3 + 0)*(-5 + 6). Suppose 1 = l*t - 5. Factor -14*y - 4 + 35*y - 15*y - t*y**2.
-2*(y - 2)*(y - 1)
Factor 1/8*p**5 - 7/8*p - 1/4*p**4 + p**2 - 1/4*p**3 + 1/4.
(p - 1)**4*(p + 2)/8
Let c(g) be the second derivative of g**6/18 - 73*g**5/60 - 35*g**4/36 + 73*g**3/18 + 5*g**2 - 12*g + 7. Suppose c(w) = 0. Calculate w.
-1, -2/5, 1, 15
Let b = -52 + -155. Let q = b + 623/3. Factor -2/15*a**4 - q*a**3 + 0 - 8/15*a - 16/15*a**2.
-2*a*(a + 1)*(a + 2)**2/15
Let r be -4 + (-354)/(-10) + (-4)/10. Suppose 18*v**3 + 5*v + r*v + 0*v**4 + 48*v**2 - 4*v + 2*v**4 = 0. Calculate v.
-4, -1, 0
Let p(d) be the first derivative of d**4/16 - 5*d**3/12 - d**2/8 + 5*d/4 - 120. Factor p(i).
(i - 5)*(i - 1)*(i + 1)/4
Suppose 0 = -6*w - 249 + 273. Let u(g) be the first derivative of 0*g**3 - 3/2*g**4 + w*g**2 + 2/5*g**5 + 0*g + 8. Factor u(c).
2*c*(c - 2)**2*(c + 1)
Let r(n) = n**3 - 13*n**2 + 32*n + 66. Let g be r(8). Find f, given that -2/7*f**3 + 2/7*f + 2/7*f**4 - 2/7*f**g + 0 = 0.
-1, 0, 1
Let p(l) be the first derivative of l**5/5 + 13*l**4/8 - 4*l**3/3 - 7*l**2/4 - 727. What is t in p(t) = 0?
-7, -1/2, 0, 1
Let 13/2*j - 1/2*j**2 - 11 = 0. Calculate j.
2, 11
Let f be (-9 - -13)*20/60. Let p be 2*-2*2/(-12). Factor f*c - 2/3 - p*c**2.
-2*(c - 1)**2/3
Find b, given that 73/3*b**4 + 94/3*b**3 + 26/3*b**2 - 1 - 13/3*b + 5*b**5 = 0.
-3, -1, -1/5, 1/3
Let d be (-6)/(-1)*7/105. Determine i, given that 2/5*i**2 - 2/5*i**4 - d*i + 0 + 6/5*i**3 - 4/5*i**5 = 0.
-1, 0, 1/2, 1
Let v(h) be the first derivative of -h**6/720 + 11*h**3/3 - 2. Let z(y) be the third derivative of v(y). Solve z(s) = 0.
0
Let w(t) be the first derivative of -t**6/30 + 4*t**5/5 - 6*t**4 + t**2/2 + 7. Let u(q) be the second derivative of w(q). Factor u(j).
-4*j*(j - 6)**2
Let a(c) be the first derivative of -c**5/5 + 5*c**4/4 + 8*c**3 + 2*c**2 - 32*c + 243. Factor a(k).
-(k - 8)*(k - 1)*(k + 2)**2
Suppose -26*a + 4*a = 0. Let j(t) be the third derivative of 3/5*t**3 + 6*t**2 + 1/150*t**5 + a + 1/10*t**4 + 0*t. Factor j(k).
2*(k + 3)**2/5
Let y(b) be the second derivative of -b**6/15 - 3*b**5/5 - 4*b**4/3 + 30*b. Let y(x) = 0. Calculate x.
-4, -2, 0
Let m(t) be the third derivative of 1/16*t**4 + t**2 - 1/5*t**5 + 0 + 1/5*t**6 + 0*t**3 + 0*t. Determine q so that m(q) = 0.
0, 1/4
Let u(d) be the second derivative of 5*d**6/18 - 11*d**5/12 - 14*d**4/9 - 2*d**3/3 - 78*d. What is l in u(l) = 0?
-2/5, 0, 3
Let j be 2 - 4 - (-6 - -6). Let n(g) = g**3 + 2*g**2 + g - 2. Let i(x) = x**3 + 3*x**2 + 2*x - 3. Let b(l) = j*i(l) + 3*n(l). Solve b(a) = 0.
-1, 0, 1
Let w = 31/515 - -1483/1030. Let -w*y**2 + 3/2 + 0*y = 0. What is y?
-1, 1
Let g = -30290 - -151453/5. What is w in -9/5*w**2 + 6/5*w + 0 + 0*w**3 + g*w**4 = 0?
-2, 0, 1
Let y(v) = 16*v**2 + 125*v + 15. Let z(h) = 36*h**2 + 252*h + 30. Let c(o) = 15*y(o) - 6*z(o). Factor c(r).
3*(r + 15)*(8*r + 1)
Let q(m) be the third derivative of -m**6/72 - m**5/12 - 5*m**4/24 + m**3/6 - 11*m**2. Let d(t) be the first derivative of q(t). What is w in d(w) = 0?
-1
Let y(a) = -a**4 - 4*a**3 - 33*a**2 - 98*a - 88. Let v(o) = o**4 + 2*o**3 - o + 2. Let s(f) = 2*v(f) + y(f). Find m, given that s(m) = 0.
-3, -2, 7
Let f = 280 + -264. Suppose 5*c - f = -3*x, c - 6*c = -5*x. Factor -2/3*t**3 + 2*t**2 - c + 2/3*t.
-2*(t - 3)*(t - 1)*(t + 1)/3
Let t(u) = u - 6. Let a be t(8). Factor -5*p - p**a - 5*p + 23*p + 1 - 11*p - 2*p**3.
-(p - 1)*(p + 1)*(2*p + 1)
Let b(p) be the second derivative of -9*p**5/35 + 11*p**4/21 - 4*p**3/21 - 4*p + 1. Factor b(z).
-4*z*(z - 1)*(9*z - 2)/7
Suppose 39 = 4*q + 19. Let c(f) be the third derivative of 1/270*f**q + 0*f + 1/27*f**3 + 1/54*f**4 + 0 - 3*f**2. Factor c(u).
2*(u + 1)**2/9
Factor -3*b**2 - 3*b**4 + 11*b**2 + b**5 + b**3 - 2*b**5 - 5*b**4.
-b**2*(b - 1)*(b + 1)*(b + 8)
Solve -63/8*m**2 + 3/8*m**3 - 27/2 + 21*m = 0.
1, 2, 18
Let o(d) be the second derivative of 0 + 32*d - 1/9*d**4 + 7/9*d**3 - 7/30*d**5 + 2/3*d**2. Factor o(k).
-2*(k - 1)*(k + 1)*(7*k + 2)/3
Let 96 + 35*d**2 - 5*d**2 + 104 - 180*d + 5*d**3 = 0. Calculate d.
-10, 2
Let r be -6*1 + (-152)/(-24). Let z(p) be the first derivative of 0*p**2 + 8/9*p**3 + 0*p + 9 - r*p**4. Suppose z(w) = 0. What is w?
0, 2
Let k(a) be the second derivative of -15*a**5/4 + 35*a**4/4 - 11*a**3/2 + 3*a**2/2 + a + 14. Factor k(u).
-3*(u - 1)*(5*u - 1)**2
Let m(q) = -8*q**4 + 4*q**3 + 4*q**2 - 28*q + 28. Let d(i) = 9*i**4 - 3*i**3 - 3*i**2 + 27*i - 30. Let h(u) = 5*d(u) + 6*m(u). Solve h(f) = 0.
-2, 1, 3
Let y(i) be the second derivative of -i**6/10 + 39*i**5/20 - 10*i**4 + 18*i**3 - 6*i - 22. Let y(w) = 0. What is w?
0, 2, 9
Let z(f) be the third derivative of f**7/140 + 7*f**6/160 - 3*f**5/16 + f**4/32 + 5*f**3/8 - 2*f**2 + 7. Find u such that z(u) = 0.
-5, -1/2, 1
Let h = -3 + 13. Solve -26*b + 12*b**3 - 32 - 12*b - h*b + 8*b**2 = 0.
-2, -2/3, 2
Let n(i) be the first derivative of -3*i**5/25 - 33*i**4/20 - 23*i**3/5 + 33*i**2/10 + 72*i/5 + 194. Solve n(x) = 0 for x.
-8, -3, -1, 1
Let o = 25 + -20. Factor -u**5 - 4*u**2 + 2*u**o + 3*u**5 + 4*u**4 -