ivative of -2*t**2 - 2*t - 5/3*t**3 + 7/6*t**x + 0. Factor p(j).
2*(j - 1)*(7*j + 2)
Let q be (9/18)/(45/(-6))*54/(-4). Factor 0 + 7/10*f**2 + 1/2*f**4 - 1/10*f**5 - q*f**3 - 1/5*f.
-f*(f - 2)*(f - 1)**3/10
Let i(t) = -t**3 + 4*t**2 + 2*t - 5. Let a be i(4). Factor a*k**3 + 14*k**5 - 5*k**3 - k**4 - 11*k**5.
k**3*(k - 1)*(3*k + 2)
Let o(c) be the second derivative of 2*c**6/15 - 3*c**5/5 - 23*c**4/3 - 22*c**3 - 28*c**2 + 35*c. Factor o(f).
4*(f - 7)*(f + 1)**2*(f + 2)
Suppose 5*s**4 + 0*s**3 + 15*s + s - 15*s**3 + 4*s = 0. Calculate s.
-1, 0, 2
Let g = -447/52 - -35/4. Factor 2/13*m - g*m**3 + 2/13 - 2/13*m**2.
-2*(m - 1)*(m + 1)**2/13
Let b be 12/(-30) - (-45)/50. Let k(z) be the second derivative of -1/20*z**5 + 0 + 1/4*z**4 - 1/2*z**3 + 11*z + b*z**2. Let k(r) = 0. Calculate r.
1
Suppose -61*t + 51*t + 80 = 0. Let h be 0 + -5 + 56/t. Find r such that 32/5*r**3 + 0 - 16/5*r**h + 2/5*r = 0.
0, 1/4
Let c(w) = -w**3 + 2*w**2 + 4*w - 3. Let o be -5*6/(-105) - 38/(-14). Let x be c(o). Factor 4/7*b**4 - 4/7*b + 4/7*b**3 + x - 4/7*b**2.
4*b*(b - 1)*(b + 1)**2/7
Let t(g) be the second derivative of g**5/2 + 103*g**4 + 6324*g**3 - 7688*g**2 + 7*g + 65. Factor t(r).
2*(r + 62)**2*(5*r - 2)
Factor -12/5*q + 12/5 - 9/5*q**2.
-3*(q + 2)*(3*q - 2)/5
Let t(y) be the second derivative of 4/9*y**4 + 0 - 22/9*y**3 + 1/15*y**5 + 4*y**2 + 9*y. Find s, given that t(s) = 0.
-6, 1
Let w(r) = -r**3 + 3*r**2 + 33*r + 2. Let x be w(0). Factor 392/9 - 56/9*o + 2/9*o**x.
2*(o - 14)**2/9
Suppose 8*t - 20 = 3*t. What is i in -t + 3*i**4 + 2*i**3 - 7*i**2 - 12*i + 20*i**2 - 6*i**2 - 16*i**2 = 0?
-1, -2/3, 2
Let i(v) be the third derivative of v**10/52920 - v**8/5880 + v**6/1260 + 7*v**4/12 + 26*v**2. Let k(r) be the second derivative of i(r). Factor k(z).
4*z*(z - 1)**2*(z + 1)**2/7
Let h(k) = -k**2 + 9*k + 488. Let b be h(-18). Let p be ((-8)/10)/(12/(-20)). Factor z**b - p - 1/3*z**3 + 0*z.
-(z - 2)**2*(z + 1)/3
Suppose -3*s + 1 = -14. Suppose 2*d - 18 = -3*a, s*d - 4*a - 90 = -22. Find o such that -4*o**3 + 0 + 32*o**3 + 4 - 2 - d*o**2 - 2*o + 6*o**5 - 22*o**4 = 0.
-1/3, 1
Let k be (-6)/8 - (-2)/(16/9). Let p(r) be the first derivative of 7 - 1/2*r**3 + 0*r**2 + 1/4*r**6 - k*r**4 + 0*r + 3/10*r**5. Factor p(z).
3*z**2*(z - 1)*(z + 1)**2/2
Suppose 26*o - 30 = 20*o. Suppose -2*i + 5*d - 3 = 0, -5*d - 15 = -o*i - 0*i. Suppose i*v**3 + 0*v + 0 - 4/3*v**2 = 0. What is v?
0, 2/9
Let p(r) be the first derivative of -r**4/20 - r**3/5 + 2*r**2/5 + 9. Let p(o) = 0. What is o?
-4, 0, 1
Let i(x) be the second derivative of -30*x**6 - 327*x**5 - 3124*x**4/3 - 1496*x**3/3 - 96*x**2 - 177*x. Let i(n) = 0. Calculate n.
-4, -3, -2/15
Let i(z) be the first derivative of 4*z**5/5 + 6*z**4 + 16*z**3 + 16*z**2 + 93. Let i(a) = 0. Calculate a.
-2, 0
Let 12/5*u + 34/5*u**2 - 8/5 - 3/5*u**5 + 9/5*u**3 - 8/5*u**4 = 0. Calculate u.
-2, -1, 1/3, 2
Factor -28*h - 7/3*h**3 - 17*h**2 - 20/3.
-(h + 2)*(h + 5)*(7*h + 2)/3
Let o(a) be the first derivative of -a**6/6 + 72*a**5/35 - 61*a**4/7 + 110*a**3/7 - 181*a**2/14 + 30*a/7 + 195. Let o(k) = 0. What is k?
2/7, 1, 3, 5
Let u(m) = 5*m**2 - 65*m + 10. Suppose b + 3*f + 10 + 0 = 0, -5*f = 4*b + 40. Let q(k) = k**2 - k + 1. Let d(j) = b*q(j) + u(j). Determine o so that d(o) = 0.
-11, 0
Let i = -130 + 154. Let r = i - 19. Factor 0 + 3/2*u**4 - 3/2*u**r - 3/2*u**2 + 0*u + 3/2*u**3.
-3*u**2*(u - 1)**2*(u + 1)/2
Let b(k) be the second derivative of -k**5/150 - k**4/15 - 4*k**3/15 - 5*k**2/2 + k. Let x(o) be the first derivative of b(o). Factor x(n).
-2*(n + 2)**2/5
Let c = 1/5899 - -58987/17697. Factor -56/9*k**5 + 0 - c*k**4 + 0*k**2 - 4/9*k**3 + 0*k.
-2*k**3*(4*k + 1)*(7*k + 2)/9
Let u(l) be the first derivative of 7 + 8*l + 5*l**2 - 10/3*l**3. Let f(a) = 4*a**2 - 4*a - 3. Let t(w) = 12*f(w) + 5*u(w). Suppose t(q) = 0. Calculate q.
-1, 2
Let a(w) be the third derivative of w**5/20 + 11*w**4/8 + 14*w**3 - 114*w**2. Determine g so that a(g) = 0.
-7, -4
Let c(z) be the first derivative of -z**4/4 - 10*z**3/3 + 23*z**2/2 - 12*z - 306. Let c(p) = 0. Calculate p.
-12, 1
Let l(s) be the third derivative of 7*s**6/15 - 17*s**5/5 + 11*s**4/3 + 10*s**3 + 76*s**2 + 1. Factor l(g).
4*(g - 3)*(g - 1)*(14*g + 5)
Let z = 9 - 4. Let f be (-5 + z)*((-2 - 0) + 3). Factor 0*i + f - 1/2*i**2 + 1/2*i**3.
i**2*(i - 1)/2
Let 3 - 5*z**3 + 46*z**2 + 27 - 16*z**2 - 55*z = 0. Calculate z.
1, 2, 3
Let w(o) be the second derivative of o**4/126 + o**3/21 + 2*o**2/21 - 121*o. Suppose w(s) = 0. What is s?
-2, -1
Let p be (22/12 + (-12)/36)*2. What is d in 15*d**2 - 10*d**p - 5*d - 7*d**3 + 2*d**3 + 5*d**4 = 0?
0, 1
Let m be -4 + 271*10/(-615). Let a = -3/41 - m. Factor 4/3 + a*l**2 + 20/3*l.
(5*l + 2)**2/3
Let n(r) be the third derivative of -r**8/840 + 13*r**7/525 - 11*r**6/300 - 13*r**5/150 + r**4/5 + 110*r**2 - 3*r. What is w in n(w) = 0?
-1, 0, 1, 12
Let w(d) be the second derivative of -22*d**7/21 - 12*d**6 - 56*d**5 - 400*d**4/3 - 160*d**3 - 64*d**2 + 47*d + 2. Solve w(j) = 0.
-2, -2/11
Let s(w) be the first derivative of 11 + 0*w**3 - 1/5*w**5 - 1/2*w**4 + w**2 + w. Factor s(u).
-(u - 1)*(u + 1)**3
What is b in 4/3*b**2 + 1/3*b**4 - 5/3*b**3 + 0 + 0*b = 0?
0, 1, 4
Let o(u) be the first derivative of 2/7*u**2 - 4/7*u - 17 - 1/21*u**3. Suppose o(y) = 0. What is y?
2
Let s(w) be the first derivative of w**7/840 - w**5/120 - 14*w**3/3 + 25. Let k(v) be the third derivative of s(v). Factor k(x).
x*(x - 1)*(x + 1)
Let j = -328 - -343. Let w(u) = -u**3 + 16*u**2 - 13*u - 25. Let y be w(j). Factor 0 - k + 1/2*k**y + 3/2*k**4 - 3/2*k**2 + 1/2*k**3.
k*(k - 1)*(k + 1)**2*(k + 2)/2
Let a(f) be the third derivative of f**7/105 - f**5/5 - 2*f**4/3 - f**3 + 15*f**2. Determine d so that a(d) = 0.
-1, 3
Let n(h) = -21*h**3 - 333*h**2 - 629*h - 304. Let x(d) = -5*d**3 - 83*d**2 - 157*d - 76. Let q(r) = 6*n(r) - 26*x(r). Factor q(t).
4*(t + 1)**2*(t + 38)
Factor -306/7*r - 6/7*r**2 - 300/7.
-6*(r + 1)*(r + 50)/7
Let m(l) be the first derivative of 12 + 0*l + 4/25*l**5 + 0*l**3 - 1/5*l**4 + 0*l**2. Factor m(b).
4*b**3*(b - 1)/5
Factor 114 - 26*o**2 + 9*o**3 - 2*o - 88 - 7*o**3.
2*(o - 13)*(o - 1)*(o + 1)
Let p(h) = -16*h**5 + 4*h**4 + 104*h**3 + 100*h**2 - 460*h + 256. Let i(m) = m**5 - m**4 - m**3 + m**2 + m. Let f(b) = -12*i(b) - p(b). Solve f(r) = 0.
-4, 1, 4
Let t(h) be the second derivative of h**4/14 - 2*h**3/7 + h + 6. Determine g so that t(g) = 0.
0, 2
Let d(t) = -t**3 - 2*t. Let r(y) = -5*y**2 + 4*y**2 - 2*y + 0*y - y**3 + 0*y**3. Let z(v) = -4*d(v) + 3*r(v). Factor z(w).
w*(w - 2)*(w - 1)
Determine f so that 16 + 17*f**2 + 1/2*f**3 + 65/2*f = 0.
-32, -1
Let q(j) be the first derivative of -4*j**3 + 1/4*j**4 + 0*j - 1 + 18*j**2. Factor q(v).
v*(v - 6)**2
Let l(p) = -2*p**3 - 19*p**2 + 129*p + 1192. Let y be l(-10). Solve 0 + 4/3*w - 4/3*w**3 - 2*w**y + 2*w**4 = 0 for w.
-1, 0, 2/3, 1
Suppose 0 + 36/7*c**2 + 12/7*c + 18/7*c**4 + 3/7*c**5 + 39/7*c**3 = 0. What is c?
-2, -1, 0
Let b be -3 + 19/(114/36). Let d(s) be the first derivative of 6/7*s + 2/21*s**b - 4/7*s**2 - 1. Factor d(k).
2*(k - 3)*(k - 1)/7
Let y(l) be the third derivative of -5*l**8/112 - 43*l**7/42 - l**6/2 + 7*l**5/3 + 217*l**2. Let y(b) = 0. What is b?
-14, -1, 0, 2/3
Let h(g) be the second derivative of 7*g**7/6 - 21*g**6/5 + 109*g**5/20 - 3*g**4 + 2*g**3/3 - 79*g. Solve h(b) = 0 for b.
0, 2/7, 1
Find z, given that 779*z - 126*z**4 - 795*z - 16*z**2 + 108*z**3 + 22*z**4 + 28*z**5 = 0.
-2/7, 0, 1, 2
Let h = -20918 + 1213201/58. Let t = -7/29 - h. Factor 0 - t*d + 1/4*d**2.
d*(d - 2)/4
Suppose -235 = -19*r - 28*r. Let p(i) be the third derivative of 2*i**2 - 1/360*i**r + 0 + 0*i**3 + 0*i - 1/144*i**4. Factor p(o).
-o*(o + 1)/6
Let h = -26714 - -187006/7. Suppose -16/7*f + h - 2/7*f**3 + 10/7*f**2 = 0. Calculate f.
1, 2
Let h = 298 + -292. Let r(j) be the third derivative of 1/24*j**4 - h*j**2 + 1/120*j**6 + 0*j + 0*j**3 + 1/30*j**5 + 0. Let r(g) = 0. Calculate g.
-1, 0
Let q(b) be the first derivative of -b**3/15 - b**2 - 9*b/5 + 154. Factor q(y).
-(y + 1)*(y + 9)/5
Suppose -3/4*l**2 + 0 + 321/4*l = 0. Calculate l.
0, 107
Suppose 3 + 33 = 3*p. Let g(r) be the first derivative of -11*r**4 - p - 3*r**2 + 23*r**4 - 11*r**4 + 4*r**3 + 7*r**2. Factor g(s).
4*s*(s + 1)*(s + 2)
Let x be 378/24 - (-3)/12. Suppose -x - 2 = -6*l. So