 l(c) = 0.
-2, -2/7, 1
Let m(k) be the first derivative of k**4/6 - 4*k**2 - 32*k/3 - 115. Determine f, given that m(f) = 0.
-2, 4
Let g(t) be the first derivative of -2*t**5/15 + 7*t**4/6 - 20*t**3/9 + 113. Solve g(o) = 0.
0, 2, 5
Let n**5 - 8 + 8*n**2 - 3*n**4 + 4*n + 2*n + n**3 - 6*n**3 + 3*n**2 - 2*n**3 = 0. What is n?
-2, -1, 1, 4
Let z(c) = c**3 + 14*c**2 + 12*c + 2. Let g be z(-13). Let y = g - 15. Solve -1/4*a + y + 1/8*a**3 + 1/8*a**2 = 0.
-2, 0, 1
Let j be (8 + (-655)/70)/(1/(-2)). Let c = -17/14 + j. What is z in 3/4*z**2 + 3/4*z - c = 0?
-2, 1
Factor 0*a + 1/3*a**3 + 0 - 20*a**2.
a**2*(a - 60)/3
Let b = -492 - -988. Let h be (-2 + (-11)/(-4))*b/72. Solve 2/3 + 35/6*u**5 - 43/6*u**3 + 4/3*u - 35/6*u**2 + h*u**4 = 0.
-1, -2/7, 2/5, 1
Let z(r) = 5*r**2 + 4*r - 9. Let t(n) = -4*n**2 - 4*n + 8. Suppose -4*u - 3*v - 28 = -v, 0 = -2*v. Let p(o) = u*t(o) - 6*z(o). Solve p(i) = 0.
1
Suppose -26 = -b + 4*b + u, b - 5*u = 2. Let z be (-4)/(b/2 + -2). Factor -2/3*g**5 + 4/3*g**3 + 2/3 - z*g + 2/3*g**4 - 4/3*g**2.
-2*(g - 1)**3*(g + 1)**2/3
Let f(u) = -78*u**3 + 682*u**2 - 323*u + 32. Let i(b) = -311*b**3 + 2729*b**2 - 1291*b + 124. Let c(z) = -9*f(z) + 2*i(z). Suppose c(m) = 0. Calculate m.
1/4, 8
Let r = -1792 + 12545/7. Determine o, given that 0*o - 3/7*o**3 + 0 - r*o**5 - 1/7*o**2 - 3/7*o**4 = 0.
-1, 0
Let w(i) be the second derivative of -i**6/10 - 3*i**5/20 - 84*i. Let w(v) = 0. What is v?
-1, 0
Let d(k) be the second derivative of 14*k**7/15 - 14*k**6/25 - 24*k**5/25 - 4*k**4/15 - 8*k - 3. Solve d(q) = 0.
-2/7, 0, 1
Let p(x) be the third derivative of x**5/135 + x**4/216 - 7*x**3/27 - 5*x**2 + 4*x. Suppose p(j) = 0. What is j?
-2, 7/4
Let a(g) be the third derivative of -13*g**2 - 1/504*g**8 + 2/315*g**7 + 0 + 0*g**3 + 0*g**6 - 1/45*g**5 + 0*g + 1/36*g**4. Find b such that a(b) = 0.
-1, 0, 1
Suppose -8 = -5*u + f, -f - 1 = 5*u - 13. Suppose 0 = u*p - 0*p - 24. Factor 0*q**3 + 4 - 3*q**3 - q**3 + 4 + p*q.
-4*(q - 2)*(q + 1)**2
Let t be (-39)/(-26)*12*(15/(-8) - -2). Factor -3/4*o - 3/2*o**4 - t*o**2 + 3/4 + 15/4*o**3.
-3*(o - 1)**3*(2*o + 1)/4
Let p(w) be the third derivative of w**9/756 - w**7/105 + w**5/30 - 5*w**3/6 - 12*w**2. Let r(a) be the first derivative of p(a). What is d in r(d) = 0?
-1, 0, 1
Let q = 111455/8 - 13262695/952. Let x = q + -3/68. Suppose -3/7*k + 27/7*k**3 + 12/7*k**5 - 33/7*k**4 - x*k**2 + 0 = 0. What is k?
-1/4, 0, 1
Suppose s = 4, -6*s + 8 = -4*k - s. Let i = 3/65 + 2/13. Factor 0 - 1/5*f - 2/5*f**2 - i*f**k.
-f*(f + 1)**2/5
Let r(c) = 2*c**3 - 34*c**2 + 26*c + 70. Let j(f) = f**3 - 3*f**2 + f + 1. Let h(t) = -2*j(t) - r(t). Factor h(x).
-4*(x - 9)*(x - 2)*(x + 1)
Let p(j) be the first derivative of -2*j**3/33 - 23*j**2/11 - 152*j/11 - 406. Let p(g) = 0. Calculate g.
-19, -4
Let a(z) be the second derivative of z**6/120 - z**5/4 + 25*z**4/8 + 3*z**3/2 + 4*z. Let f(o) be the second derivative of a(o). Let f(k) = 0. What is k?
5
Suppose 4*p + w + 441 = 0, 0 = -p - 3*w - 11 - 102. Let t = -548/5 - p. Factor 2/5*m**2 + 0 + t*m**4 + 4/5*m**3 + 0*m.
2*m**2*(m + 1)**2/5
Let r(b) be the second derivative of 0*b**2 - 5/6*b**3 + 0 - 9*b + 5/12*b**4. Factor r(m).
5*m*(m - 1)
Suppose 4*o = 24 - 4. Let z(l) be the third derivative of 0*l**3 + 0 - 1/12*l**4 - 1/30*l**o + 0*l + 3*l**2. Let z(g) = 0. Calculate g.
-1, 0
Let i(z) be the second derivative of 1/84*z**4 - 2/7*z**3 - 24*z + 18/7*z**2 + 0. Let i(r) = 0. Calculate r.
6
Let w = 214/21 + -28/3. Let z be (-23)/(-5) - (-126)/(-210). Find f such that w*f + 2/7*f**2 + 2/7 - 4/7*f**z - 6/7*f**3 = 0.
-1, -1/2, 1
Let l(m) = m**2 + m - 1. Let z be l(2). Suppose -2*t - 16 = -4*y, z*t + 13 + 7 = 0. Factor -2 - j + 0*j**2 - 2*j**2 - j**4 + j**3 - j**2 + 6*j**y.
-(j - 2)*(j - 1)*(j + 1)**2
Factor 33/5*w + 0 - 42/5*w**4 - 102/5*w**2 + 3/5*w**5 + 108/5*w**3.
3*w*(w - 11)*(w - 1)**3/5
Let k be ((-1)/(-9))/(2/46). Let p(v) be the first derivative of 0*v + 1/3*v**2 + 16/3*v**5 + 7*v**4 - 32/9*v**6 + k*v**3 - 2. Let p(m) = 0. What is m?
-1/4, 0, 2
Suppose 6*t + 17 = -7. Let s be ((-3)/5)/((-114)/(-30) + t). Factor 3/4*q - 3/2 + 3/2*q**2 - 3/4*q**s.
-3*(q - 2)*(q - 1)*(q + 1)/4
Let o be (-1 - -8 - (60/(-24) - -9))*0. Factor -1/3*k**3 + 0*k + o - 1/3*k**2.
-k**2*(k + 1)/3
Let d(x) be the first derivative of -4*x**5/35 + 16*x**4/7 - 128*x**3/7 + 512*x**2/7 - 1024*x/7 - 130. Factor d(m).
-4*(m - 4)**4/7
Let j(t) = -4*t + t - 4*t + t**2 - 13 - 1. Let o be j(10). Let o*s**3 + 17*s**4 + 9*s**5 - 6*s**5 - 32*s + 12*s**3 - 16 = 0. Calculate s.
-2, -2/3, 1
Find q, given that -12*q + 63/5 - 3/5*q**2 = 0.
-21, 1
Let v be 8/15 - (-24)/(-60). Suppose 8/15*i**2 - v*i**3 + 2/15*i - 8/15 = 0. What is i?
-1, 1, 4
Let z be (39/12)/(-13)*1*0. Suppose -4/3*t**2 - 10/3*t**3 + z*t + 0 - 2/3*t**5 - 8/3*t**4 = 0. Calculate t.
-2, -1, 0
Factor 386/17*x + 12/17*x**2 + 64/17.
2*(x + 32)*(6*x + 1)/17
Let m(s) be the third derivative of s**7/6720 - s**6/480 + 3*s**5/320 - s**4/24 + 16*s**2. Let o(c) be the second derivative of m(c). Factor o(v).
3*(v - 3)*(v - 1)/8
Suppose 0 = -x + 3*l + 9, -x - 3*l - l = -9. Let -9*m**2 + 8 - 3 - 2*m - x + 14*m = 0. What is m?
2/3
Suppose 140 = 16*t + 92. Factor -5/4*k**2 - 5/4*k**t + 0 + 5/2*k.
-5*k*(k - 1)*(k + 2)/4
Let x = 7647 - 38222/5. Factor 6/5*i + 0 + x*i**2 + 2/5*i**3.
i*(i + 6)*(2*i + 1)/5
Determine j so that 4/3*j**2 + 4/3*j**3 + 20 - 68/3*j = 0.
-5, 1, 3
Let v(t) be the second derivative of 5/2*t**3 + 1/4*t**5 + 0 - 25/12*t**4 + 45/2*t**2 - 5*t. Factor v(p).
5*(p - 3)**2*(p + 1)
Let x = 1778 + -1776. Let b(g) be the first derivative of -1/6*g**4 + 2/3*g + 1/3*g**x - 11 - 2/9*g**3. Factor b(s).
-2*(s - 1)*(s + 1)**2/3
Factor 16 + 20 - 6*d - 80 + 18 + d**2 + 10.
(d - 8)*(d + 2)
Find j, given that 4*j - 28*j**2 + 20*j**4 - 21*j - 26*j**5 + 8 + 2*j**5 + 3*j + 36*j**3 + 2*j = 0.
-1, -2/3, 1/2, 1
Determine k, given that -42/5*k + 36/5 - 16/5*k**4 + 2/5*k**5 + 8*k**3 - 4*k**2 = 0.
-1, 1, 2, 3
Let c(m) be the third derivative of -11*m**6/420 - 76*m**5/105 - 73*m**4/12 + 14*m**3/3 - 2*m**2 + 2*m. Factor c(u).
-2*(u + 7)**2*(11*u - 2)/7
Let k(h) = -39*h**3 - 9*h**2 - 24*h + 18. Let l(t) = -11*t**3 - 3*t**2 - 7*t + 5. Let n(p) = 5*k(p) - 18*l(p). Factor n(v).
3*v*(v + 1)*(v + 2)
Let n(v) = -2*v**2 + 18*v - 14. Suppose -z + 3*r = -14, 0*r - 26 = -4*z - 3*r. Let h be n(z). Factor 2/9*x**h + 0 + 0*x.
2*x**2/9
Let f be 1*22*(-1)/(-2). Let r be 2/f + (-160)/(-88). Find w such that 14*w**5 - 22*w**5 + 5*w**5 + 6 - 9*w + 12*w**3 - 6*w**r = 0.
-2, -1, 1
Let w = 549/184 - 60/23. Let g = w - 1/8. Determine c so that g*c**3 - 1/4*c**4 - 1/2 + 3/4*c**2 - 1/4*c = 0.
-1, 1, 2
Let m = -617 - -617. Let v(t) be the third derivative of 0*t**3 + 0*t + 0 + 12*t**2 + m*t**5 - 2/105*t**7 - 1/30*t**6 + 0*t**4. Factor v(f).
-4*f**3*(f + 1)
Suppose 4*v = 16, -160 = -4*g - 0*v - v. Factor 11*u**2 + 5*u**3 - g*u**2 - u**3 + 28*u - 4*u.
4*u*(u - 6)*(u - 1)
Let f(m) be the third derivative of 2*m**7/15 - m**6/3 + m**5/5 + 12*m**2 + 11. Factor f(d).
4*d**2*(d - 1)*(7*d - 3)
Let j(c) be the first derivative of 8/27*c**3 + 0*c + 1/18*c**4 + 7 + 4/9*c**2. What is u in j(u) = 0?
-2, 0
Let n = 77 + -74. Factor 1 - 2 - 10*c - 3*c**2 + 7*c - c**n.
-(c + 1)**3
Let o = 116717/198 - 1179/2. Let p = 293/198 - o. Determine m so that p - 2*m + 1/2*m**2 = 0.
1, 3
Let r(b) = 2*b**3 - 48*b**2 + 114*b - 74. Let m(p) = -7*p**3 + 192*p**2 - 455*p + 297. Let w(x) = 2*m(x) + 9*r(x). Factor w(i).
4*(i - 9)*(i - 2)*(i - 1)
Let i be 6*4/12 + 3. Suppose -9*u**5 - 5*u**i + 14*u**5 - 5*u**5 + 5*u**4 = 0. What is u?
0, 1
Let -18/11*m**3 + 60/11*m**2 + 48/11 + 2/11*m**4 - 8*m = 0. What is m?
2, 3
Suppose 33 = 7*y + 4*y. Let z(l) = -3. Let r(b) = b**2 + 5*b - 18. Let p(c) = y*r(c) - 24*z(c). Find n, given that p(n) = 0.
-3, -2
Let d = -51959/65 + 4003/5. Factor 12/13*s**2 + 0 - 2/13*s - 24/13*s**3 + d*s**4.
2*s*(2*s - 1)**3/13
Suppose 4*n = -0*n + 40. Let -16*o + n - 20*o**2 - 9*o - 10*o = 0. What is o?
-2, 1/4
Let m be (1/1)/(18/(7 - 1)). Factor 1/3*c + 0*c**3 - m*c**5 + 0 - 2/3*c**2 + 2/3*c**4.
-c*(c - 1)**3*(c + 1)/3
Let b(a) = 8*a**3 - 6*a**2 + 3. Let v(g) = -45*g - 4 - 7*g**3 + 4*g**2 + 2 + 45*g. Let n(y) = -2*b(y) - 3*v(y). Factor n(x).
5*x**3
Let a(n) be the second derivative of 2*n**5/5 - n**3 - n**2 + 468*n. Suppose a(j) = 0. 