ative of 2*k**7/245 - 3*k**6/70 - 3*k**5/140 + k**4/7 + 3*k**3/14 + 10*k**2 + 2. Solve y(t) = 0 for t.
-1/2, 1, 3
Let p = 827 + -11863/15. Let s = p - 36. Solve -4/15*u + 0 + s*u**2 = 0.
0, 2
Let m(j) be the third derivative of j**5/150 - 13*j**4/15 + 676*j**3/15 + 2*j**2 + 11*j. Let m(l) = 0. What is l?
26
Let c(m) be the third derivative of -m**7/280 + m**6/160 + 3*m**5/40 - 31*m**2. Find u such that c(u) = 0.
-2, 0, 3
Let r(v) be the third derivative of -v**5/300 - 9*v**4/40 + 14*v**3/15 + v**2 + 7*v. Factor r(x).
-(x - 1)*(x + 28)/5
Let m(k) = -6*k**4 + 8*k**3 - 26*k**2 + 22*k - 3. Let f(w) = w**4 + w**2 - 1. Let z(d) = -5*f(d) - m(d). Let z(t) = 0. What is t?
1, 2, 4
Let q = 3103 + -6203/2. Suppose q*i - 3/8*i**2 - 3/2 = 0. What is i?
2
Let d(o) = o**3. Suppose 5*j + 45 = -15. Let r(h) = 156*h**3 - 24*h**2 - 15*h + 3. Suppose z - 2 = -1. Let x(w) = j*d(w) + z*r(w). Factor x(k).
3*(3*k + 1)*(4*k - 1)**2
Let s(l) = -2*l**3 + 6*l**2 + 2*l - 6. Let f(y) = -4*y - 76*y**3 + 5 + y + 78*y**3 - 6*y**2. Let z(h) = 2*f(h) + 3*s(h). Determine m so that z(m) = 0.
-1, 2
Let k(i) be the first derivative of i**5/5 + 18*i**4 + 648*i**3 + 11664*i**2 + 104976*i - 112. Determine m, given that k(m) = 0.
-18
Let g = -12846 + 64231/5. Let -g*h**2 + 0 + 2/5*h = 0. Calculate h.
0, 2
Let r(z) be the first derivative of 2*z**5/65 + 3*z**4/13 - 16*z**3/13 + 2*z**2 - 18*z/13 + 40. What is j in r(j) = 0?
-9, 1
Let f(j) be the third derivative of 0*j**5 + 1/240*j**6 + 9*j**2 + 0 + 0*j**3 - 1/12*j**4 + 0*j. Suppose f(a) = 0. What is a?
-2, 0, 2
Suppose 9*k + 2*k - 77 = 0. Determine t so that -k + 3*t**2 - 1 + 12*t + 17 = 0.
-3, -1
Let v(d) be the second derivative of -d**5/120 + 7*d**4/24 - 11*d**3/4 - 121*d**2/12 + 152*d + 1. Factor v(r).
-(r - 11)**2*(r + 1)/6
Let y(t) be the third derivative of t**5/570 + t**4/76 + 2*t**3/57 + t**2 + 51*t. Factor y(x).
2*(x + 1)*(x + 2)/19
Let h(m) be the second derivative of -3*m**2 - 1/4*m**4 + 0 - 3/2*m**3 + 5*m. Factor h(x).
-3*(x + 1)*(x + 2)
Solve 23651 + 14437 + 0*y**3 - 37536*y - 550*y**2 + 5*y**3 - 7*y**3 = 0.
-138, 1
Suppose 2/7 + 8/7*g**2 + 10/7*g = 0. Calculate g.
-1, -1/4
Factor 0 + 2/11*q**2 + 40/11*q.
2*q*(q + 20)/11
Let o = 2813 + -2813. Determine v so that -2/3*v - 8/3*v**2 + o - 8/3*v**4 - 2/3*v**5 - 4*v**3 = 0.
-1, 0
Let a(r) be the first derivative of 0*r**3 - 1/12*r**4 + 0*r**2 - 5*r - 1/20*r**5 + 2. Let y(w) be the first derivative of a(w). Factor y(k).
-k**2*(k + 1)
Let f(u) be the first derivative of -u**7/1260 + u**6/180 + 5*u**3 + 12. Let y(h) be the third derivative of f(h). Factor y(k).
-2*k**2*(k - 3)/3
Let l(s) = -374*s - 3363. Let c be l(-9). Solve 0*h**2 + 3/2*h + 3/4 - 3/2*h**c - 3/4*h**4 = 0.
-1, 1
Let a be 3/72*-2*(-10)/200. Let j(w) be the second derivative of 1/96*w**4 + 1/336*w**7 + 0 + 7*w + 0*w**3 - a*w**6 - 1/160*w**5 + 0*w**2. Factor j(u).
u**2*(u - 1)**2*(u + 1)/8
Suppose 2*p + 6*p - 144 = 0. Let g = p + -10. What is r in -4/3*r + 0 - 22/3*r**2 - g*r**3 + 6*r**4 = 0?
-1/3, 0, 2
Let d(p) be the second derivative of -p**6/10 - 3*p**5/10 + p**4 + p**3 - 9*p**2/2 - 2*p + 30. Factor d(s).
-3*(s - 1)**2*(s + 1)*(s + 3)
Let u(n) be the second derivative of n**6/70 - 24*n**5/35 + 64*n**4/7 + 2*n - 200. Factor u(t).
3*t**2*(t - 16)**2/7
Let n be -4 - (56/(-112) + 50/(-12)). Solve 1/3*o**2 - o + n = 0 for o.
1, 2
Let k = 574 - 574. Let h(x) be the first derivative of -6/25*x**5 + 1/5*x**4 + k*x**2 - 2 + 0*x + 0*x**3 + 1/15*x**6. Factor h(w).
2*w**3*(w - 2)*(w - 1)/5
Find d, given that 0 - 1/7*d**3 + d + 6/7*d**2 = 0.
-1, 0, 7
Let d be 1*1/(-10) + (-69)/(-115). Determine x, given that 0*x + 1/8*x**4 + d*x**2 - 1/2*x**3 + 0 = 0.
0, 2
Find u, given that 1/2*u**2 - 2*u + 0 = 0.
0, 4
Let o = 22/15 - 19/15. Suppose -o*q**2 + 0 - 3/5*q = 0. Calculate q.
-3, 0
Let c = -69 - -71. Let t(p) be the second derivative of 0*p**3 - 1/48*p**4 + 1/16*p**5 + 0 - 3/56*p**7 - 1/40*p**6 + 0*p**c - 3*p. Factor t(q).
-q**2*(q + 1)*(3*q - 1)**2/4
Suppose 3*b - 3 = 6. Determine o, given that -5*o**2 + 0 + 8*o - 4 - 16*o - o**b = 0.
-2, -1
Let u(m) = -m**2 + 7*m - 2. Let c be u(4). Let x be (2/(-6))/(c/(-75)). Factor 0 + 3/4*l**3 - x*l**2 + 3/4*l.
l*(l - 3)*(3*l - 1)/4
Let g = 1235/444 - 17/148. Determine k so that -10/3*k + g + 2/3*k**2 = 0.
1, 4
Let p(q) be the first derivative of -15 + 1/260*q**5 + 0*q - 8/3*q**3 + 1/78*q**4 + 1/2340*q**6 + 0*q**2. Let m(h) be the third derivative of p(h). Factor m(s).
2*(s + 1)*(s + 2)/13
Let q(t) be the second derivative of t**4/3 - 24*t**3 - 74*t**2 + 52*t. Factor q(a).
4*(a - 37)*(a + 1)
Let g(n) = 7*n**3 - 34*n**2 - 32*n - 3. Let o(q) = 48*q**3 - 236*q**2 - 224*q - 20. Let a(j) = -20*g(j) + 3*o(j). Suppose a(u) = 0. Calculate u.
-1, 0, 8
Let w be -1*(-40)/5*2/8. Factor 4 - w + 4*t**3 - 2*t - 2*t**2 + 8*t - t**5 - 9*t.
-(t - 1)**3*(t + 1)*(t + 2)
Let w(m) = 15*m**4 - 129*m**3 + 288*m**2 - 237*m + 42. Let b(v) = -17*v**4 + 130*v**3 - 288*v**2 + 238*v - 44. Let j(t) = 3*b(t) + 2*w(t). Factor j(k).
-3*(k - 2)**3*(7*k - 2)
Let l(z) = 12*z**3 - 21*z**2 - 3*z - 6. Let x(g) = g**3 - 2*g**2 - 1. Let p(s) = l(s) - 9*x(s). What is b in p(b) = 0?
-1, 1
Let k(r) be the second derivative of -r**5/20 + 2*r**4/3 - 10*r**3/3 + 8*r**2 - 2*r - 15. Determine p so that k(p) = 0.
2, 4
Let g(c) be the second derivative of -3*c**5/140 + c**4/28 + c**3/7 - 84*c. Factor g(p).
-3*p*(p - 2)*(p + 1)/7
Let b(o) be the third derivative of -o**6/1620 - 7*o**5/135 - 49*o**4/27 - 4*o**3 - 10*o**2. Let x(v) be the first derivative of b(v). Factor x(l).
-2*(l + 14)**2/9
Let c(o) be the third derivative of o**5/4 - 295*o**4/24 + 95*o**3/3 + 163*o**2. Factor c(j).
5*(j - 19)*(3*j - 2)
Let k be ((-18)/(-10))/((-15)/(-50)). Suppose x = -5 + 12. Suppose k*h**2 + 3*h**2 - h**5 - 18*h**3 - 8*h + x*h**4 + 11*h**2 = 0. What is h?
0, 1, 2
Suppose 59*x - 51*x - 52 + 12 = 0. Solve -2/9*m**2 - 1/9*m**3 + 1/3*m**x + 4/9*m**4 + 0 + 0*m = 0.
-1, 0, 2/3
Let y(d) be the second derivative of 16*d + 0 + 0*d**2 + 9/20*d**5 + 2/3*d**3 - d**4. Suppose y(k) = 0. What is k?
0, 2/3
Let a(s) be the third derivative of s**5/90 - 49*s**4/18 + 97*s**3/9 - 9*s**2. Suppose a(w) = 0. Calculate w.
1, 97
Let h(v) be the first derivative of -v**6/36 + v**4/6 - v**3/9 - v**2/4 + v/3 - 42. Suppose h(o) = 0. What is o?
-2, -1, 1
Let v = 44 + -44. Let i(q) = -q**3 + 6*q**2 - q + 9. Let s be i(6). Factor v + 4*w**s - 10/3*w**2 + 2/3*w.
2*w*(2*w - 1)*(3*w - 1)/3
Let v(l) be the second derivative of -l**5/5 + 4*l**4/3 + 2*l**3/3 - 8*l**2 - 31*l. Factor v(h).
-4*(h - 4)*(h - 1)*(h + 1)
Let r(u) be the first derivative of -u**3/9 - 2*u**2 - 12*u + 77. Factor r(x).
-(x + 6)**2/3
Determine n so that -2/3 - 1/9*n**3 + 0*n**2 + 7/9*n = 0.
-3, 1, 2
Let q(b) be the second derivative of -b**6/15 - 3*b**5/10 + 2*b**4/3 + 4*b**3 + 37*b - 3. Factor q(o).
-2*o*(o - 2)*(o + 2)*(o + 3)
Let n be (-133)/(-5) + 5/(100/(-12)). Suppose -n*h - 6 = -28*h. Factor -14*c**2 - 9/4*c**4 - 4 - 1/4*c**5 - 12*c - 8*c**h.
-(c + 1)*(c + 2)**4/4
Let n(g) = -g**5 - g**4 + g**3 - g. Suppose 0 = -3*v - 4 + 1. Let l(h) = 14*h**5 - 6*h**3 + 8*h. Let t(r) = v*l(r) - 8*n(r). Suppose t(x) = 0. Calculate x.
0, 1/3, 1
Let v = 137 - 137. Find z, given that -6*z - 11 + 5 + v - 2 + 2*z**2 = 0.
-1, 4
Let y be -3*(35/(2310/(-36)) - 1/(-22)). Let l = -22/3 + 47/6. Solve q - 1/2*q**2 + 0 + l*q**4 + y*q**5 - 5/2*q**3 = 0.
-1, 0, 2/3, 1
Let g(z) = z**4 + 2*z**3 - z**2 - z + 1. Let x(l) = 5*l**5 + 73*l**4 + 186*l**3 - 1083*l**2 - 4323*l + 3. Let a(b) = -3*g(b) + x(b). Factor a(k).
5*k*(k - 4)*(k + 6)**3
Solve 24/13*r + 2/13*r**5 - 6/13*r**3 + 32/13*r**2 + 0 - 12/13*r**4 = 0.
-1, 0, 2, 6
Suppose 14 - 13 = o. Let b(z) = z**3 + 2*z**2 + z - 1. Let t(s) = 2*s**3 - 8*s**2 - 4*s + 7. Let v(n) = o*t(n) + b(n). Let v(c) = 0. What is c?
-1, 1, 2
Suppose -58 = -10*d - 18. Let v(b) be the third derivative of -d*b**2 + 0*b + 7/24*b**4 + 1/120*b**6 - 1/2*b**3 + 0 - 1/12*b**5. Factor v(q).
(q - 3)*(q - 1)**2
Find g such that 12*g + 10*g**2 + 0*g + 1838*g**3 - 1840*g**3 = 0.
-1, 0, 6
Let y(z) = -12*z**2 - 60*z + 7. Let i(f) = 7*f**2 + 31*f - 4. Let j(u) = 7*i(u) + 4*y(u). Factor j(l).
l*(l - 23)
Let z(c) be the first derivative of -9 + 0*c**3 - 5/2*c**4 + 5*c**2 + c**5 - 5*c. Factor z(h).
5*(h - 1)**3*(h + 1)
Let s(b) be the 