(c) be the second derivative of 1/150*c**6 + 0 + 0*c**2 - 1/60*c**4 + 3*c - 1/30*c**3 + k*c**5. Solve t(o) = 0.
-1, 0, 1
Let p(o) = o**3 + o**2 - o. Let h be -24*(-22)/(-99)*6/(-4). Let y(a) = -6*a + 16*a**3 - 4*a**3 + 8*a**2 - 2*a. Let j(b) = h*p(b) - y(b). Factor j(s).
-4*s**3
Let r(v) be the first derivative of 10*v**3/7 - 309*v**2/7 - 36*v - 32. Solve r(u) = 0.
-2/5, 21
Suppose -10 = -5*v - 4*k + 1, 2*k - 1 = -v. Suppose 0 = 7*i - 6*i - v. Solve 0 - 6/5*d**2 - 3/5*d**i - 3/5*d = 0.
-1, 0
Let q(w) be the first derivative of -5*w**4/8 - 15*w**3/2 - 15*w**2/2 + 40*w + 112. Factor q(b).
-5*(b - 1)*(b + 2)*(b + 8)/2
Suppose 9*x - 11*x - 3*x = 0. Factor 9/4*c**2 + 1/2*c + x.
c*(9*c + 2)/4
Let y be (-3)/(-4)*((-2840)/15)/(-4). Let b = 36 - y. Let -8*c**3 - 10*c**2 - 4*c - b = 0. Calculate c.
-1/2, -1/4
Let i be -6*(1/(-10) - (3 - 31/(-40))). Let -i*l**4 + 63/4*l**3 + 3*l**2 + 0 + 15/2*l**5 - 3*l = 0. Calculate l.
-2/5, 0, 1/2, 1, 2
Let z = -3 - -5. Let c = z + 4. Let b(p) = -3*p**3 + 6*p**2 - 3*p - 6. Let n(g) = -g**3 - g - 1. Let a(l) = c*n(l) - b(l). Suppose a(v) = 0. Calculate v.
-1, 0
Let l(t) be the second derivative of -t**7/3780 + t**6/180 - t**5/36 - t**4/3 - 13*t. Let u(v) be the third derivative of l(v). Suppose u(k) = 0. What is k?
1, 5
Let c be 308/49 + 60/(-10). Let f(h) be the first derivative of 4 + 2/35*h**5 + c*h**4 + 2/7*h**2 + 0*h + 10/21*h**3. Solve f(w) = 0.
-2, -1, 0
Let p(j) be the third derivative of j**7/5880 + j**6/504 + j**5/105 + j**4/42 - 13*j**3/6 - 10*j**2. Let r(v) be the first derivative of p(v). Factor r(o).
(o + 1)*(o + 2)**2/7
Let d = 3/62 - 207/434. Let f = -2/21 - d. Factor 1/3*n**3 - f*n**2 + 0 - 1/3*n + 1/3*n**4.
n*(n - 1)*(n + 1)**2/3
Let u be 7/(147/2) + 10/42. Let d(b) be the second derivative of -11*b + 13/6*b**4 + 0 - 4/5*b**6 - u*b**3 + 1/10*b**5 - b**2. Let d(h) = 0. What is h?
-1, -1/4, 1/3, 1
Suppose b - d - 129 = 0, 0 = -3*d + 6 - 0. Factor -9*f**3 - 21*f**4 - 6*f**3 + 137*f**2 - b*f**2.
-3*f**2*(f + 1)*(7*f - 2)
Suppose 24*s - 69 = s. Let j(h) be the third derivative of 0 - 1/3*h**s + 7*h**2 - 1/15*h**5 - 1/4*h**4 + 0*h. Suppose j(c) = 0. What is c?
-1, -1/2
Suppose 5*t + 4*x = -12, -5*t + 12 = -20*x + 16*x. Solve -8/5*u**3 + t - 1/5*u + 6/5*u**4 - 6/5*u**2 + 9/5*u**5 = 0 for u.
-1, -1/3, 0, 1
Let s = 34 - 33. Suppose -3 + 20*c**2 - s + 4 + 5*c**3 + 15*c = 0. Calculate c.
-3, -1, 0
Let z(v) be the first derivative of -5*v**4/12 - 11*v + 42. Let a(x) be the first derivative of z(x). Factor a(b).
-5*b**2
Let l(k) be the second derivative of -3*k**5/100 - k**4/20 + 9*k**3/10 + 27*k**2/10 + 63*k. Factor l(p).
-3*(p - 3)*(p + 1)*(p + 3)/5
Let p(y) be the second derivative of -y**6/15 + 3*y**5/2 - 27*y**4/2 + 63*y**3 - 162*y**2 - 351*y. Factor p(g).
-2*(g - 6)*(g - 3)**3
Let g(r) be the second derivative of 1/150*r**6 + 125/2*r**2 + 26*r + 1/5*r**5 + 50/3*r**3 + 0 + 5/2*r**4. Factor g(y).
(y + 5)**4/5
Let s(y) be the first derivative of -4*y**5 + 5*y**4 + 1 + 0*y + 5/6*y**6 + 0*y**2 + 0*y**3. Suppose s(b) = 0. Calculate b.
0, 2
Let n(b) be the third derivative of -b**7/210 - b**6/120 + 17*b**5/60 - 5*b**4/8 + b**2 + 48*b. Factor n(r).
-r*(r - 3)*(r - 1)*(r + 5)
Let v(b) be the third derivative of 2*b**2 + 0*b - 2*b**3 - 1/2*b**4 - 1/20*b**5 + 0. Factor v(c).
-3*(c + 2)**2
Suppose -44*w + 41*w = 0. Let s(z) be the third derivative of 0*z**5 + 0 + 5*z**2 + 0*z + 0*z**4 - 1/630*z**7 + w*z**3 + 1/360*z**6. Factor s(m).
-m**3*(m - 1)/3
Let c(t) be the second derivative of -7*t**5/20 - 9*t**4/8 - t**3 + 5*t**2 + 8*t. Let v(q) be the first derivative of c(q). Solve v(j) = 0 for j.
-1, -2/7
Let z(c) be the second derivative of c**6/20 - 3*c**4/8 - c**3/2 + 2*c + 51. Determine q, given that z(q) = 0.
-1, 0, 2
Suppose -392/3 - 2/3*h**2 - 56/3*h = 0. What is h?
-14
Let 0 + 44/3*n - 2/3*n**2 = 0. What is n?
0, 22
Let b be -17*1/(-33) - 10/20. Let y(x) be the second derivative of -1/11*x**2 + 0*x**3 + b*x**4 + 2*x + 0. Find k, given that y(k) = 0.
-1, 1
Let i(x) be the second derivative of x**5/20 + 8*x**4/3 + 221*x**3/6 - 289*x**2 + 38*x + 5. Let i(z) = 0. Calculate z.
-17, 2
Let v(n) be the first derivative of 11 + 26*n**2 + 48*n + 4/3*n**3. Factor v(c).
4*(c + 1)*(c + 12)
Let l(g) be the third derivative of 1/480*g**5 + 2*g**2 + 0*g + 1/384*g**8 + 0*g**3 + 19/1680*g**7 - 1/96*g**4 + 1/64*g**6 + 0. Factor l(c).
c*(c + 1)**3*(7*c - 2)/8
Let g = 545/7 + -10327/133. Factor -2/19*k**2 - 2/19 - g*k.
-2*(k + 1)**2/19
Suppose 5 + 35 = -5*r. Let j = 11 + r. What is n in 2/7*n**j + 2/7 - 2/7*n**2 - 2/7*n = 0?
-1, 1
Let h(i) be the second derivative of 0*i**6 + 0*i**4 + 2*i + 1/84*i**7 + 1/12*i**3 + 0*i**2 + 0 - 1/20*i**5. What is r in h(r) = 0?
-1, 0, 1
Let l = 113/1518 - 2/69. Let i(a) be the first derivative of 1/11*a**2 - 4/33*a**3 + l*a**4 + 0*a + 5. Solve i(n) = 0.
0, 1
Let w(x) be the third derivative of 4/33*x**3 - 1/66*x**5 - 2/33*x**4 + 2*x**2 + 0 + 0*x. Find z, given that w(z) = 0.
-2, 2/5
Let d be 30/(-130) - -93*3/195. Factor -12/5*a**3 - d*a + 0 - 3/5*a**4 - 3*a**2.
-3*a*(a + 1)**2*(a + 2)/5
Let j(i) = -i**3 - 21*i**2 - 24*i + 8. Let o(h) = 15*h**3 + 295*h**2 + 335*h - 110. Let f(r) = -55*j(r) - 4*o(r). Let f(u) = 0. Calculate u.
-4, -1, 0
Let d(h) be the third derivative of h**6/1260 - h**5/70 + 2*h**4/21 + 20*h**3/3 + 21*h**2. Let c(p) be the first derivative of d(p). Factor c(m).
2*(m - 4)*(m - 2)/7
Let k = 1682 + -1682. Let w(l) be the first derivative of -1 - 1/15*l**5 + 0*l**4 - 1/3*l + k*l**2 + 2/9*l**3. Factor w(z).
-(z - 1)**2*(z + 1)**2/3
Let h(o) be the third derivative of 0*o**4 + 0*o + o**2 - 1/2688*o**8 - 1/560*o**7 - 1/320*o**6 + 0 - 1/480*o**5 + 0*o**3. Determine m, given that h(m) = 0.
-1, 0
Let n = 2841895/14696 - 7/1837. Let l = n - 193. Suppose -l*s**2 + 3/8*s**3 + 3/8 - 3/8*s = 0. Calculate s.
-1, 1
Let p(o) be the first derivative of -9/8*o**2 - 3*o - 5 + 1/4*o**3. Factor p(q).
3*(q - 4)*(q + 1)/4
Let p be (-11)/(-44) - (2/(-12) + 30/200). Determine g, given that -2/5 + 2/15*g**2 + p*g = 0.
-3, 1
Factor 3229 - 245*m + m**2 + 14558 + 2*m**2 - 217*m.
3*(m - 77)**2
Let j(r) be the third derivative of r**6/140 - 13*r**5/210 + r**4/21 - 39*r**2 + 2*r. Determine i, given that j(i) = 0.
0, 1/3, 4
Let u(x) = 3*x + 7. Let m(h) = 4*h + 10. Let k(l) = -5*m(l) + 7*u(l). Let g(p) = -p**2 + 2*p - 4. Let o(n) = 2*g(n) - 7*k(n). Determine i, given that o(i) = 0.
-1, -1/2
What is o in -100 + 9*o**2 + 6*o**2 - 19*o**2 + 19*o - 14*o - 45*o = 0?
-5
Let r be (-2)/(-3)*(-819)/147 - (3 + -7). What is c in 0 + 0*c - 2/7*c**4 - 2/21*c**5 + r*c**2 + 2/21*c**3 = 0?
-3, -1, 0, 1
Let c(z) = z**4. Let r(k) = 5625*k**5 + 4255*k**4 - 300*k**3 - 840*k**2 - 160*k. Let b(u) = -5*c(u) + r(u). Factor b(i).
5*i*(5*i + 2)**3*(9*i - 4)
Let d(q) be the second derivative of -23*q - 1/2*q**3 + 1/24*q**4 + 1/168*q**7 + 1/20*q**6 + 11/80*q**5 - q**2 + 0. Find a such that d(a) = 0.
-2, -1, 1
Let d = 135 - 120. Let f(x) = x**2 - x. Let j(o) = -6*o**2 + 2*o + 10. Let c(n) = d*f(n) + 3*j(n). Solve c(a) = 0.
-5, 2
Find s, given that -75 - 40 - 313*s - 152*s - 20*s**2 = 0.
-23, -1/4
Let o(j) be the second derivative of -3/8*j**2 + 1/48*j**4 + 0 + j - 1/12*j**3. Factor o(g).
(g - 3)*(g + 1)/4
Let p(d) be the second derivative of -d**5/450 - d**4/90 + 8*d**2 - 24*d. Let j(h) be the first derivative of p(h). Factor j(a).
-2*a*(a + 2)/15
Let j = 34 - -2. Let v be (j/(-42))/((-9)/14). Determine f, given that 0*f**3 - v*f**4 + 4/3*f**2 - 2/3*f + 0 + 2/3*f**5 = 0.
-1, 0, 1
Let k(t) be the second derivative of -1/60*t**6 + 0*t**3 + 0 + 23*t + 0*t**5 + 1/12*t**4 - 1/4*t**2. Factor k(h).
-(h - 1)**2*(h + 1)**2/2
Let h(y) be the third derivative of y**8/1344 + 31*y**7/420 + 1321*y**6/480 + 523*y**5/12 + 1075*y**4/6 + 1000*y**3/3 + 445*y**2. Let h(n) = 0. Calculate n.
-20, -1
Factor -20/7*t + 16/7*t**4 + 4/7*t**5 - 8/7 + 16/7*t**3 - 8/7*t**2.
4*(t - 1)*(t + 1)**3*(t + 2)/7
Suppose 6*f + 0 + 4*f**4 - 4*f**2 - 2/3*f**5 - 16/3*f**3 = 0. What is f?
-1, 0, 1, 3
Let w be ((-16)/40)/((-2)/(-40)). Let h = w - -14. Factor -15 + 9 + h - 2*b**4 + 2*b**2.
-2*b**2*(b - 1)*(b + 1)
Let j(y) be the third derivative of y**2 + 0*y + 1/45*y**5 + 0*y**4 + 0 + 0*y**3 + 2/315*y**7 + 1/45*y**6. Suppose j(g) = 0. What is g?
-1, 0
Let p = -30 + 33. Let c(w) be the firs