b) = -2*b**3 - 13*b**2 - 20*b - 1. Let p be h(-2). Determine c so that 63*c**5 - 97/4*c**p + 27*c**4 + 0 - c - 13*c**2 = 0.
-1/2, -2/21, 0, 2/3
Let c be 2 + 0 - (5 + (-80 - 1)). Let p = 80 - c. Determine j so that -1/3*j**p - 1/3 + 2/3*j = 0.
1
Let w(m) = -7*m**2 - 5 - 2 - 2*m**2 + 8*m**2 - 6*m. Let h be w(-3). Factor -1/4*a**h + 1/4*a**3 + 1/4 - 1/4*a.
(a - 1)**2*(a + 1)/4
Let s(q) be the second derivative of -q**5/10 + q**4/6 + 2*q**3 - 4*q - 8. Let s(g) = 0. What is g?
-2, 0, 3
Let d(v) be the first derivative of v**3/12 - 97*v**2/4 - 195*v/4 - 164. Suppose d(p) = 0. Calculate p.
-1, 195
Let g(b) be the third derivative of b**5/3 + 14*b**4/9 - 8*b**3/9 - 28*b**2. Let g(j) = 0. What is j?
-2, 2/15
Let d(k) be the second derivative of k**5/20 + 3*k**4/8 + 13*k**2 - 22*k. Let q(b) be the first derivative of d(b). Factor q(y).
3*y*(y + 3)
Let u(x) be the first derivative of -x**4/10 - 34*x**3/15 - 11*x**2 - 78*x/5 + 305. Factor u(a).
-2*(a + 1)*(a + 3)*(a + 13)/5
Suppose -2*c = -3 - 5. Let g(k) = 328*k**3 - 180*k**2 - 128*k - 12. Let w(d) = -655*d**3 + 360*d**2 + 256*d + 25. Let s(b) = c*w(b) + 7*g(b). Factor s(h).
-4*(h - 1)*(9*h + 2)**2
Suppose -3*m - 38 = -5*x + 23, -4*x + 5*m + 54 = 0. Factor x*a + 16*a**3 - 3*a + 36*a**2 + 0*a.
4*a*(a + 2)*(4*a + 1)
Let y(k) be the second derivative of k**6/30 + k**5/20 - 3*k**4/4 + 11*k**3/6 - 2*k**2 + 3*k + 3. Factor y(u).
(u - 1)**3*(u + 4)
Let p(j) = -j**4 + j**3 - j**2 - j + 1. Let b(z) = 2*z**4 - 4*z**3 + 12*z**2 + 4*z - 8. Let n(c) = -b(c) - 6*p(c). Factor n(f).
2*(f - 1)**2*(f + 1)*(2*f + 1)
Let l(d) be the first derivative of 7*d**6/3 - 2*d**5/5 - 21*d**4 + 124*d**3/3 - 29*d**2 + 6*d + 290. Factor l(g).
2*(g - 1)**3*(g + 3)*(7*g - 1)
Let r be 1/(-3)*(-9)/(-3)*-5. What is k in 0*k**2 - 6/5*k**3 + 3/5*k**r + 3/5*k + 0 + 0*k**4 = 0?
-1, 0, 1
Solve m**4 + 17817*m**3 + m**5 - 16*m**2 + 4*m**2 - 17825*m**3 = 0.
-2, 0, 3
Let m(d) be the first derivative of -14*d**3/9 + d**2/3 + 168. Factor m(a).
-2*a*(7*a - 1)/3
Let x be 6/18 + (50/6)/5. Let i(g) be the first derivative of 2/45*g**5 + 1/9*g**4 - 2/9*g**x + 0*g**3 - 6 - 2/9*g. Solve i(a) = 0 for a.
-1, 1
Let f(b) be the second derivative of 2/5*b**5 + 0*b**6 - 2/21*b**7 + 0*b**2 - 2/3*b**3 + 0*b**4 - 2*b + 0. Factor f(x).
-4*x*(x - 1)**2*(x + 1)**2
Let s be -5 - 0/(-3) - ((-6)/(-3) - 10). Factor 2/9*g**2 + 2/9*g**4 + 0*g + 0 + 4/9*g**s.
2*g**2*(g + 1)**2/9
Let m be 1/(95/15 + -6). Let j(v) be the third derivative of 0*v**4 + 1/40*v**6 - v**2 + 0*v**m + 0*v - 1/20*v**5 + 0. Let j(b) = 0. What is b?
0, 1
Let k = 40 - 77/2. Let c(p) be the first derivative of 1/2*p**2 + 0*p + 15/16*p**4 - k*p**3 + 4 + 5/8*p**5. Find d, given that c(d) = 0.
-2, 0, 2/5
Let l = 59 + -54. Let n be (-2)/l - 32/(-30). Factor 4/3*w**3 + 0 + 0*w**4 - n*w - 2/3*w**5 + 0*w**2.
-2*w*(w - 1)**2*(w + 1)**2/3
Let o(q) = 2*q**2 - 5*q**2 + 2*q**3 - q**3. Let p be o(3). Factor -12*b**3 + 3*b + 9*b**3 + p + 3*b**2 - 3.
-3*(b - 1)**2*(b + 1)
Let s(r) be the third derivative of -r**9/15120 - r**8/2520 + 13*r**5/60 + 7*r**2. Let n(o) be the third derivative of s(o). Suppose n(f) = 0. What is f?
-2, 0
Factor -3/2 + i + 1/2*i**2.
(i - 1)*(i + 3)/2
Suppose 5*z - 10 = 2*c, -z = 2*c + 5 + 5. Factor -2*a**2 + 7*a**3 - 2*a**4 - 9*a**3 + z*a**4 + 6*a**2.
-2*a**2*(a - 1)*(a + 2)
Let m(p) = p**3 - 2*p**2 - 11*p + 12. Let l be m(4). Suppose -16*k + 15*k = -3. Factor 6/7*j + l*j**2 - 4/7 - 2/7*j**k.
-2*(j - 1)**2*(j + 2)/7
Let y(x) = 3*x**3 - 130*x**2 + 523*x + 4506. Let u(d) = 5*d**3 - 260*d**2 + 1045*d + 9015. Let s(j) = -2*u(j) + 5*y(j). Solve s(i) = 0 for i.
-4, 15
Let g(k) be the first derivative of -6 + 0*k - 8*k**4 + 0*k**2 + 8/3*k**3 + 42/5*k**5 - 3*k**6. Factor g(m).
-2*m**2*(m - 1)*(3*m - 2)**2
Suppose 1/5*k**5 + 3/5*k**3 + 0 + 4/5*k**4 - 4/5*k**2 - 4/5*k = 0. What is k?
-2, -1, 0, 1
Let j(l) be the first derivative of 50*l + 13 + 2/3*l**3 + 10*l**2. Factor j(p).
2*(p + 5)**2
Let q(u) be the third derivative of 3/140*u**5 - 13*u**2 + 1/490*u**7 + 0*u + 0*u**3 - 3/280*u**6 + 0 - 1/56*u**4. Factor q(c).
3*c*(c - 1)**3/7
Suppose -5*g + 4*w + 2400 = -1732, -4*g + 4*w = -3304. Let n be g/84 + -2 + 1. Determine v, given that -24/7*v**3 - 54/7*v**4 - 8/7 + n*v**2 + 24/7*v = 0.
-1, -2/3, 2/9, 1
Let s(f) = -2*f**3 - 4*f**2 + 4*f + 3. Let x be s(-3). Let a(t) be the first derivative of x - 4/3*t - 2/9*t**3 - t**2. Find h such that a(h) = 0.
-2, -1
Let t be ((-55)/(-66)*-1)/(8/(-36)). Let -18*r**2 + 3/4 + t*r = 0. Calculate r.
-1/8, 1/3
Let i(x) be the second derivative of x**6/300 + x**5/40 + x**4/30 - 191*x. Factor i(u).
u**2*(u + 1)*(u + 4)/10
Let q(n) be the third derivative of 4/105*n**7 + 0*n - 2/3*n**3 + 1/5*n**5 - 1/6*n**4 + 0 + 1/6*n**6 - 6*n**2. What is z in q(z) = 0?
-1, 1/2
Let z(f) be the third derivative of f**5/15 + 8*f**4/3 - 34*f**3/3 + 120*f**2. Factor z(a).
4*(a - 1)*(a + 17)
Let n(z) be the third derivative of -z**5/600 + z**4/30 - z**3/4 - 77*z**2. Factor n(t).
-(t - 5)*(t - 3)/10
Let y(v) be the third derivative of -v**7/630 - v**6/360 + v**5/20 + v**4/8 - 414*v**2. Determine j so that y(j) = 0.
-3, -1, 0, 3
Let y be (-2)/(-13) + (-18)/117 + 5. Factor 0*b - 20/3 + y*b**2 + 5/3*b**3.
5*(b - 1)*(b + 2)**2/3
Factor 31*m**3 - 430*m + 68*m**2 + 4*m**4 + 470*m + m**3.
4*m*(m + 1)*(m + 2)*(m + 5)
Let q be (-3)/(-6) + 2/(-8). Let z be 7/(-63)*(-2 - -2). What is r in z + q*r**4 - 1/4*r**2 + 1/2*r - 5/4*r**3 + 3/4*r**5 = 0?
-1, 0, 2/3, 1
Suppose 11 = 2*a + 5*p, 0 = -12*a + 10*a - 3*p + 9. Factor 0*k - 3/5*k**2 + 0 - 12/5*k**a.
-3*k**2*(4*k + 1)/5
Let t be (-122)/(-183)*(5 + -1) + -2. Suppose -16/3*z**2 - 16*z**4 + 44/3*z**3 + 0 + 6*z**5 + t*z = 0. What is z?
0, 1/3, 1
Let j(d) be the second derivative of -d**7/70 + d**6/10 - 3*d**5/25 - 4*d**4/5 + 16*d**3/5 - 24*d**2/5 - 22*d. Determine q, given that j(q) = 0.
-2, 1, 2
What is u in 8/5 - 58/5*u**4 + 56/5*u + 18*u**2 + 24/5*u**5 - 8*u**3 = 0?
-1, -1/3, -1/4, 2
Let a(v) be the third derivative of 5*v**8/336 - v**7/42 - v**6/12 - 36*v**2. Factor a(i).
5*i**3*(i - 2)*(i + 1)
Let r(s) = -8*s**4 + 28*s**3 - 40*s**2 - 20*s + 44. Let h(o) = -7*o**4 + 27*o**3 - 39*o**2 - 19*o + 45. Let u(i) = 4*h(i) - 3*r(i). Suppose u(c) = 0. What is c?
-1, 2, 3
Suppose -1944 + 408 + 39*u**4 - 480*u**2 + 1211*u + 197*u - 43*u**4 + 72*u**3 = 0. What is u?
4, 6
Let t(n) be the first derivative of n**4/36 + 2*n**3/9 + n**2/2 - 5*n - 17. Let d(l) be the first derivative of t(l). Let d(v) = 0. What is v?
-3, -1
Let q(m) = m + 5. Let j be q(-3). Solve 4*h**2 + 0*h**3 - 1 + 3 - 3*h - j*h - h**3 = 0 for h.
1, 2
Let c = -16 + -5. Let f = c + 39. Factor -4*p**4 - 7*p - 13*p + 2*p**5 + 4*p**2 + f*p.
2*p*(p - 1)**3*(p + 1)
Factor 35/2*f - 5/2*f**3 - 10*f**2 + 25.
-5*(f - 2)*(f + 1)*(f + 5)/2
Let i be 1/((-15)/(-890))*9/(-2). Let s = -1867/7 - i. Factor -4/7*r + 6/7 - s*r**2.
-2*(r - 1)*(r + 3)/7
Let r be (-21)/28 + 54/8. Suppose -4*f + r*f - 6 = 0. Factor 37 + 11*g - g**3 - f*g**2 + 4*g**4 - 9*g**2 - 39.
(g - 1)**2*(g + 2)*(4*g - 1)
Let c = -4175 - -4175. Let 1/3*q**3 + c + 0*q - q**4 - 1/3*q**5 + q**2 = 0. Calculate q.
-3, -1, 0, 1
Let d(k) be the first derivative of -4*k**5/5 + 13*k**4/2 - 32*k**3/3 + 5*k**2 - 287. Let d(m) = 0. What is m?
0, 1/2, 1, 5
Let h = 2137 + -19231/9. Determine a so that -2/9*a**2 - 2/3*a**3 + 0 - h*a**5 - 2/3*a**4 + 0*a = 0.
-1, 0
Let w = -129 - -1936/15. Let u(n) be the second derivative of -2*n**2 - 1/3*n**3 - w*n**6 + 0 + 1/2*n**4 + 5*n + 1/10*n**5. Determine v, given that u(v) = 0.
-1, 1, 2
Let y be ((-20)/14)/((-22)/7 - (1 - 3)). Suppose 5/4*t - 15/2 + y*t**2 = 0. Calculate t.
-3, 2
Let u = -97 - -113. Factor 20*l + 19*l**2 - u*l**2 + 5*l**3 + 22*l**2.
5*l*(l + 1)*(l + 4)
Let s(p) be the second derivative of p**6/80 + 3*p**5/80 - 15*p**4/32 - 9*p**3/4 - 191*p. Factor s(c).
3*c*(c - 4)*(c + 3)**2/8
Suppose 2*i = 2*d + 30, -2*i + 4*d + 48 = i. Suppose -s + 5*s - i = a, 3*s + a - 2 = 0. Factor 1 - f - 2*f + 3*f**2 - 7*f**s.
-(f + 1)*(4*f - 1)
Let s(m) be the second derivative of 5*m**9/3024 - m**8/168 + m**6/36 - m**5/24 + m**3/3 + 12*m. Let u(x) be the second derivative of s(x). Factor u(i).
5*i*(i - 1)**3*(i + 1)
Let q(j) be the third derivative of -7*j**7/30 - 203*j**6/30 + 127*j**5/20 + 103*j**4/6 + 34*j**3/3 - 524*j**2. Solve q(y) = 0 for y.
