f**2 + 4. Let v be h(i). Factor 9*q**2 + 3*q**3 - 15*q + 5*q**4 - 4*q**4 - 5*q**4 + 6 + q**v.
-3*(q - 1)**3*(q + 2)
Let v be (4/12 - (2 + 0))*-1. Let -15 + 10*q - v*q**2 = 0. What is q?
3
Let n = -61 + 63. Determine c so that -11 - 2 + 11 + 7*c**n - 6*c + c**2 = 0.
-1/4, 1
Suppose -3*w = -9 - 3. Suppose w*d = -12 + 28, 0 = -4*n + 2*d. Suppose 2 - 5 + 2*o**3 + 4*o - 6*o + n + 4*o**2 - 3*o**4 = 0. What is o?
-1, -1/3, 1
Let p(w) be the second derivative of w**6/60 + w**5/60 - w**4/6 - w**3/6 - 6*w. Let d(h) be the second derivative of p(h). Solve d(g) = 0.
-1, 2/3
Let y(f) be the second derivative of f**4/42 + 12*f**3/7 + 5*f**2 - 90*f - 1. Determine a so that y(a) = 0.
-35, -1
Let n be (1 - 20/(-5))/11. Let b = n + 1/22. Factor -3/4*f + 3/4*f**3 + 1/4*f**4 - b + 1/4*f**2.
(f - 1)*(f + 1)**2*(f + 2)/4
Factor 4*p**4 - 10*p**2 - 26*p**3 - 25*p**3 + 46*p**3 + 4*p**4 - 3*p**4.
5*p**2*(p - 2)*(p + 1)
Let y be (32/20)/(((-76)/5)/(-19)). Find i, given that 7/3*i**y + 1/3 - 5/3*i - i**3 = 0.
1/3, 1
Let n be (-8)/6 - (-120)/36. Factor 2*x + x**3 + 2*x**3 + x**n - x**3 - 5*x**2.
2*x*(x - 1)**2
Let f(y) be the third derivative of y**6/28 - 29*y**5/105 + 41*y**4/84 - 2*y**3/7 - 147*y**2. Find a such that f(a) = 0.
1/5, 2/3, 3
Let y be -1*(-7)/((-21)/(-24)). Suppose 5*m = 0, 0*d - m + y = 4*d. Suppose t**2 - 11*t**5 + 10*t**5 + d*t**4 + t**3 - 3*t**4 = 0. Calculate t.
-1, 0, 1
Let v(x) = 12*x - 178. Let y be v(15). Let m(p) be the second derivative of 5/4*p**4 + 1/2*p**3 + 0 - 24/5*p**6 + 0*p**y - 6/5*p**5 + 9*p. Solve m(z) = 0 for z.
-1/4, 0, 1/3
Let o(g) be the first derivative of -g**6/24 - 13*g**5/20 - 15*g**4/8 + 61*g**3/6 + 287*g**2/8 + 147*g/4 - 31. Let o(z) = 0. What is z?
-7, -1, 3
Factor -3/4*a**4 - 69/2*a**2 - 12*a**3 + 108*a - 243/4.
-3*(a - 1)**2*(a + 9)**2/4
Let x be 988/152 - (-6)/(-1). Let -5/2*u**4 + 1/2*u**2 + 2 + 4*u - 7/2*u**3 - x*u**5 = 0. Calculate u.
-2, -1, 1
Let k(q) = -q**2 + 10*q + 4. Let l be (-5)/(-10)*32/(-4). Let d(n) = 10*n + 5. Let z(i) = l*d(i) + 5*k(i). Factor z(s).
-5*s*(s - 2)
Suppose 4 = 2*i - 6*i, 5*i = 5*l - 50. Let v be (4/6)/(l/27). Suppose -15*s**3 - 10*s**2 + 19*s**3 + 2*s**v + 4*s = 0. Calculate s.
0, 1
Let f(y) = y**5 + y**4 - y**2 + y. Let h(q) = 15*q**5 - 15*q**4 + 30*q**3 - 10*q**2 + 10*q. Let l(a) = 10*f(a) - h(a). Factor l(k).
-5*k**3*(k - 3)*(k - 2)
Let x(w) be the first derivative of 2/27*w**3 - 9 - 2/3*w - 2/9*w**2. Suppose x(r) = 0. What is r?
-1, 3
Factor -1/2*v**2 + 11/2 - 5*v.
-(v - 1)*(v + 11)/2
Let w = -40 - -42. Factor 0*b**w + 4*b**3 - 231*b**4 + 3*b**2 + 232*b**4.
b**2*(b + 1)*(b + 3)
Let o be ((-6)/(-195) + 0)/(188/235). Let b(r) be the first derivative of -2/39*r**3 + 0*r + 2/13*r**2 - o*r**4 - 4. Factor b(v).
-2*v*(v - 1)*(v + 2)/13
Let l(k) be the third derivative of -1/168*k**4 - 1/140*k**6 - 12*k**2 + 0 + 1/60*k**5 + 0*k**3 + 0*k. Factor l(t).
-t*(t - 1)*(6*t - 1)/7
Let k(t) be the third derivative of -t**5/30 + 7*t**4/36 - 4*t**3/9 + 6*t**2 - 4*t. Determine j, given that k(j) = 0.
1, 4/3
Let y(i) be the first derivative of i**7/4200 - i**6/450 + i**5/120 - i**4/60 - 6*i**3 - 20. Let c(a) be the third derivative of y(a). Factor c(r).
(r - 2)*(r - 1)**2/5
Factor -8/3*y + 0 - 2*y**2 + 2/3*y**3.
2*y*(y - 4)*(y + 1)/3
Let z be (-30)/6 - (1 + -4). Let u(s) = -39*s**3 + 144*s + 51. Let x(v) = 3*v**3 - 11*v - 4. Let d(q) = z*u(q) - 27*x(q). Let d(r) = 0. What is r?
-1, 2
Factor 4/5*z**2 - 4/5 + 2/5*z**3 - 2/5*z.
2*(z - 1)*(z + 1)*(z + 2)/5
Let i(a) = -9*a + 2. Let u be i(2). Let h be 1 + (u/(-4) - 3). Factor 4*b + h*b**3 - b + 6*b**2 + b**3.
3*b*(b + 1)**2
Determine q so that -5/2*q**2 + 2*q + 10 - 1/2*q**3 = 0.
-5, -2, 2
Let g(d) be the first derivative of -7/6*d**6 + 0*d - 1/2*d**4 - 9/5*d**5 + 0*d**3 + 0*d**2 - 1. Solve g(i) = 0.
-1, -2/7, 0
Let y be (20/4 - 1)*(-2)/(-4). Let i(r) = 220*r**2 + 815*r - 715. Let b(f) = -13*f**2 - 48*f + 42. Let v(o) = y*i(o) + 35*b(o). Solve v(q) = 0.
-4, 2/3
Let j be 3/(-18)*2*-3. Let h(s) = 0*s + j + 0*s + s - 2*s. Let n(c) = c**2 - 7*c + 6. Let u(v) = 6*h(v) - n(v). Factor u(d).
-d*(d - 1)
Let j be (2 - 4/10) + (-3)/3. Let s(k) be the second derivative of -3/100*k**5 + 1/50*k**6 - 3*k + 1/2*k**3 - 3/20*k**4 - j*k**2 + 0. Factor s(w).
3*(w - 1)**3*(w + 2)/5
Find s, given that -399/5*s - 1/5*s**3 - 441/5 + 41/5*s**2 = 0.
-1, 21
Determine n, given that 10/13*n**4 + 0*n + 2/13*n**5 - 10/13*n**2 - 2/13*n**3 + 0 = 0.
-5, -1, 0, 1
Suppose 12*y**3 + 0 - 4 - 2 + 12*y**2 - 2*y - 6*y**4 - 8*y**3 - 2*y**5 + 0*y = 0. Calculate y.
-3, -1, 1
Let g(t) be the second derivative of t**5/80 - t**4/12 - 11*t**3/24 - 3*t**2/4 - 2*t + 4. Solve g(n) = 0.
-1, 6
Let p = 1019/2050 + 3/1025. Factor p*z**3 + 0 - 3*z**2 + 9/2*z.
z*(z - 3)**2/2
Suppose -4*s + 3*s + v = 3, -s + 5*v = 19. Let n(u) = 2*u**2 + 6*u + 2. Let b(r) = r**2 + r - 1. Let o(c) = s*n(c) + 2*b(c). Determine x, given that o(x) = 0.
-2, 0
Let a = -56081/78 - -719. Let r(t) be the third derivative of 0*t + 1/195*t**6 + 0*t**3 + a*t**5 + 2*t**2 + 1/156*t**4 + 0. Suppose r(q) = 0. Calculate q.
-1, -1/4, 0
Let f = -249 + 14941/60. Let k(d) be the second derivative of f*d**6 + 3/20*d**5 + 0 + 5/6*d**3 + 1/2*d**4 + 3/4*d**2 - 7*d. Suppose k(m) = 0. What is m?
-3, -1
Let r = -14 - -15. Let o be ((-11)/(-22))/(2/4 + r). Suppose 2/3*x - o*x**4 + 1/3 - 2/3*x**3 + 0*x**2 = 0. Calculate x.
-1, 1
Let s be 1/((-1)/1) + 36 + 1. Let d be (17/(-6) + 3)/(27/s). What is t in -d*t**2 + 0 - 2/9*t = 0?
-1, 0
Let a(o) = 9*o**3 + 3*o**2 - 12*o + 6. Let d(y) = -11*y**3 - 4*y**2 + 13*y - 6. Let p(q) = -4*a(q) - 3*d(q). Factor p(j).
-3*(j - 1)**2*(j + 2)
Let y(c) be the third derivative of -c**6/450 + c**5/150 + c**4/15 + 17*c**3/6 - 6*c**2. Let r(q) be the first derivative of y(q). Find t such that r(t) = 0.
-1, 2
Let x(g) be the second derivative of g**2 - 1/6*g**3 - 20*g + 0 + 1/20*g**5 - 1/6*g**4. Factor x(p).
(p - 2)*(p - 1)*(p + 1)
Let q be (-274)/(-14) + (-8)/((-168)/9). Factor -5*a - 12*a**2 + 3*a**2 - 18*a**2 + 2*a**2 + q.
-5*(a + 1)*(5*a - 4)
Determine t so that -21/5*t - 6/5*t**3 - 24/5*t**2 + 3/5*t**5 + 6/5*t**4 - 6/5 = 0.
-1, 2
Let c = 17025/44 - 4248/11. Factor 3/4 - c*w**2 + 0*w.
-3*(w - 1)*(w + 1)/4
Let i be 11/((-385)/10) - (-164)/(-14). Let a be 2/3 - (-5)/i. Factor -s + a*s**2 + s**3 - 1/4.
(s - 1)*(s + 1)*(4*s + 1)/4
Factor -3/8*d**3 - 36501/8 - 4761/8*d - 207/8*d**2.
-3*(d + 23)**3/8
Let x = -31 + 52. Let o = x - 18. Solve 3*k**3 + 3*k**o + 6*k**4 - 3*k**2 - 9*k**4 = 0 for k.
0, 1
Let x(l) be the first derivative of l**6/2160 + 4*l**3 - 18. Let c(i) be the third derivative of x(i). Solve c(w) = 0 for w.
0
Let l = -32 + 37. Factor 30*h**4 - 11*h**3 - 3*h**3 - 12*h**l + 2*h**2 - 6*h**5.
-2*h**2*(h - 1)*(3*h - 1)**2
Let p(w) be the second derivative of w**4/3 - w**2/2 - 5*w. Let z be p(-1). Factor -5 + z*y**2 - 3*y**2 - 3*y**2 - 18*y - 22.
-3*(y + 3)**2
Let t = -29/107 - -359/535. Find y such that 0*y**3 + 4/5*y**4 + 2/5*y + 0 - 4/5*y**2 - t*y**5 = 0.
-1, 0, 1
Let k(b) be the first derivative of -5*b**4/4 - 500*b**3/3 - 985*b**2/2 - 490*b + 605. Solve k(y) = 0 for y.
-98, -1
Let z be -6*2*1/(-24). Let s(t) be the first derivative of 3 + z*t + 1/2*t**3 + t**2. Determine c so that s(c) = 0.
-1, -1/3
Let w(k) be the second derivative of k**4/6 - 14*k**3/3 + k - 17. Suppose w(a) = 0. Calculate a.
0, 14
Suppose 15*c - 40 = 12*c - 5*n, 40 = c + 5*n. Factor -8/3*w**2 - 2/3*w**3 - 8/3*w + c.
-2*w*(w + 2)**2/3
Let k(n) be the first derivative of -n**7/525 + n**6/150 + n**5/150 - n**4/30 + 19*n**2/2 + 16. Let w(l) be the second derivative of k(l). Solve w(u) = 0.
-1, 0, 1, 2
Let u be (-13)/3 - -3 - -2. Let v = 48 - 142/3. Factor -u*g + v*g**2 + 2/3*g**3 - 2/3.
2*(g - 1)*(g + 1)**2/3
Let o(i) be the second derivative of -1/180*i**6 + 0*i**3 - 16*i + 1/120*i**5 - 1/252*i**7 + 1/72*i**4 + 0 + 0*i**2. Factor o(f).
-f**2*(f - 1)*(f + 1)**2/6
Let t(u) be the third derivative of -u**8/504 + 2*u**7/63 - 19*u**6/90 + 34*u**5/45 - 19*u**4/12 + 2*u**3 - 99*u**2. Solve t(r) = 0 for r.
1, 2, 3
Let t(g) be the second derivative of -1/105*g**6 - 2/49*g**7 - 2 + 1/14*g**5 + 0*g**3 + 1/21*g**4 + 0*g**2 - 17*g. Determine o so that t(o) = 0.
-2/3, -1/2, 0, 1
Let i(y) be the first derivative of -y**7/168 + y**6/36 - y**5/24 - y**3/3 + 10. Let d(m) be the t