+ 50*w**2 - 84*w. Determine i so that t(i) = 0.
-2, 2, 5
Let m = 232/321 + -6/107. Let x(y) be the second derivative of 5*y + 0 - 2/3*y**3 - 1/5*y**5 + m*y**4 + 0*y**2. Factor x(z).
-4*z*(z - 1)**2
Factor 0*v**2 - 748 + 12*v - 4*v**2 + 764.
-4*(v - 4)*(v + 1)
Let f(h) be the first derivative of -1 - 5/2*h**4 - 12*h - 74/3*h**3 + 14/5*h**5 - 31*h**2. Solve f(a) = 0.
-1, -2/7, 3
Let r(g) = 3*g**3 + 16*g**2 + 12*g - 24. Let k(q) = -6*q**3 - 32*q**2 - 25*q + 46. Let t(z) = 3*k(z) + 5*r(z). Factor t(u).
-(u + 3)**2*(3*u - 2)
Let u(t) be the third derivative of -1/16*t**4 + 1/240*t**6 + 8*t**2 - 1/6*t**3 + 0*t + 0 + 0*t**5. Determine l, given that u(l) = 0.
-1, 2
Let d(w) be the third derivative of w**8/1008 - w**7/105 + w**6/45 - 3*w**2 - 5*w. Determine l, given that d(l) = 0.
0, 2, 4
Let a(y) be the second derivative of 0 - 1/2*y**4 + 10*y + 1/5*y**6 - 1/14*y**7 + 1/2*y**3 + 0*y**2 + 0*y**5. Find q, given that a(q) = 0.
-1, 0, 1
Suppose -3*m - k + 9 = -4*k, -2*k + 2 = 2*m. Let q be (-1)/(-5) - 170/(-25). Factor q*g - 15*g + 2*g**m + 6*g - g**2.
g*(g - 2)
Let f(i) be the third derivative of -i**7/3780 + i**5/180 + 23*i**4/24 - 25*i**2. Let g(t) be the second derivative of f(t). Find n, given that g(n) = 0.
-1, 1
Let i(u) be the second derivative of -1/6*u**4 - 2/3*u**2 + 0 + 5/9*u**3 + 5*u. Factor i(a).
-2*(a - 1)*(3*a - 2)/3
Let k(d) be the third derivative of d**7/16380 - d**5/780 + d**4/8 + 2*d**2. Let v(g) be the second derivative of k(g). Let v(f) = 0. Calculate f.
-1, 1
Let q be 1/(46/22 + -2). Let x(l) = -2*l**3 - 16*l**2 - 16*l - 9. Let i be x(-7). Let 0*v**4 - 24*v**3 - q - 52*v**2 - 2*v - i - 4*v**4 - 46*v = 0. What is v?
-2, -1
What is i in -1 + 22*i**2 - 5 - 3*i**3 - 25*i**2 + 6 = 0?
-1, 0
Suppose 2*n = -n + 12, r - 24 = -n. Suppose 20 = 5*x - 0. Factor 16*l**3 + 4*l + r*l**2 - x*l**3 + 4*l.
4*l*(l + 1)*(3*l + 2)
Let o be -2 + 472/(-22)*(-4)/(-56)*-7. Factor 6*a - o*a**2 + 42/11*a**3 - 12/11.
6*(a - 1)**2*(7*a - 2)/11
Let a(n) be the second derivative of -n**7/3780 + 2*n**6/945 - n**5/315 - n**4/2 - 31*n. Let l(z) be the third derivative of a(z). Suppose l(i) = 0. What is i?
2/7, 2
Let o(s) = 139*s + 2087. Let v be o(-15). Solve -3/2*k**3 - 3/4 + 9/4*k + 9/4*k**4 - 3/2*k**v - 3/4*k**5 = 0 for k.
-1, 1
Suppose -12 - 27 = -13*x. What is f in -6*f**3 - 11*f**3 - 15*f**2 - 4*f**4 - x*f - 7*f**3 - 8*f**4 = 0?
-1, -1/2, 0
Let g(m) be the third derivative of 5/12*m**5 + 11/12*m**6 - 5/12*m**4 + 0*m**3 + m**2 + 5/14*m**7 + 0*m + 0. Suppose g(j) = 0. What is j?
-1, -2/3, 0, 1/5
Let u(o) = o**2 + 2*o - 23. Let v be u(-7). Suppose v*f = 8*f. Factor 2/7 + f*i - 2/7*i**2.
-2*(i - 1)*(i + 1)/7
Let h = -32 + 34. Find z, given that -15*z**2 - 5*z**4 + 6*z**3 + 6*z**4 - h*z**5 + 5*z**2 + z**4 + 4*z = 0.
-2, 0, 1
Suppose 5*v = -v - 24. Let y be (-1 + 8/6)*(-6)/v. Factor 1/2*c**3 + 0 - c**2 + y*c.
c*(c - 1)**2/2
Let 11*h**2 - 94*h + 5477 - 78*h + 5*h**2 - 5521 = 0. What is h?
-1/4, 11
Let b(t) be the third derivative of -t**6/180 + 47*t**5/45 - 2*t**2 + 105. Find c, given that b(c) = 0.
0, 94
Let r(p) = -12*p**2 - 22*p - 45. Let q(s) = -5*s**2 - 12*s - 22. Let t(u) = -7*q(u) + 3*r(u). Suppose t(z) = 0. Calculate z.
-1, 19
Let y(g) be the first derivative of g**5/30 + 7*g**4/12 - 8*g**3/3 + 12*g**2 + 20. Let x(a) be the second derivative of y(a). Factor x(d).
2*(d - 1)*(d + 8)
Factor h**3 + 5/2*h**2 + 3/2*h + 0.
h*(h + 1)*(2*h + 3)/2
Solve 0 + 25/3*v**3 - 56*v**2 + 48*v - 1/3*v**4 = 0 for v.
0, 1, 12
Let w be 15/35 + 1 + (-2)/(-28). Suppose -10*b = -5*b - 20. Factor 0 - w*h**b + 3/2*h**2 - h + 1/2*h**5 + 1/2*h**3.
h*(h - 2)*(h - 1)**2*(h + 1)/2
Let x = -10 + 2. Let f be (-9)/(-2)*x/12. Let t(w) = 5*w**3 + 9*w**2 + 9*w + 5. Let h(c) = -4*c**3 - 8*c**2 - 8*c - 4. Let a(r) = f*h(r) - 2*t(r). Factor a(u).
2*(u + 1)**3
Let k(p) be the second derivative of 0*p**2 + 0*p**4 + 0*p**6 + 0*p**3 + 1/231*p**7 - 2/55*p**5 + 0 + 3*p. Factor k(s).
2*s**3*(s - 2)*(s + 2)/11
Suppose -4*l - 39 - 45 = 0. Let b be (-6)/l - 36/(-21). Find i such that 8*i**5 - b*i**2 - 3 - 1 + 3 + 6*i - 14*i**3 + 3 = 0.
-1, -1/2, 1
Let y(b) = 3*b + 64. Let h be y(-20). Let z be (315/126)/(2/(h*1)). Factor f**2 + 1/2*f**z + f**3 - 3/2*f**4 + 1/2 - 3/2*f.
(f - 1)**4*(f + 1)/2
What is o in -802*o**2 - 241 + 2052*o - 14049*o**4 - 191 - 1600*o**3 - 962*o**2 + 13793*o**4 = 0?
-4, -3, 3/8
Suppose -1138*x = -1141*x + 18. Let r(b) be the second derivative of 1/56*b**7 + 0*b**3 + 3/80*b**5 + 0 + 0*b**4 + 3*b + 0*b**2 - 1/20*b**x. Factor r(y).
3*y**3*(y - 1)**2/4
Let k(s) be the first derivative of -1/1620*s**6 + 0*s + 0*s**2 - 5/3*s**3 + 0*s**4 - 1/540*s**5 - 5. Let a(f) be the third derivative of k(f). Factor a(p).
-2*p*(p + 1)/9
Let y be (25/20)/(65/156). Suppose 0 - 2/3*m**2 + 0*m - 2*m**y - 2*m**4 - 2/3*m**5 = 0. What is m?
-1, 0
Let q(w) = -2*w**2 + 4*w. Let v be (-3)/(12/(-16))*1. Let h(f) = -1 + 1 + v*f**2 - 1 - 5*f**2. Let o(i) = -3*h(i) + q(i). Find l such that o(l) = 0.
-3, -1
Let 81*y**2 + 66*y**3 - 193*y**2 + 91*y**2 - 9*y**4 = 0. Calculate y.
0, 1/3, 7
Let k(x) be the third derivative of -x**6/300 - 7*x**5/300 + x**4/10 + 17*x**3/6 + 19*x**2. Let a(m) be the first derivative of k(m). Factor a(q).
-2*(q + 3)*(3*q - 2)/5
Let s(g) be the first derivative of -7 - 2/3*g**3 - 3*g**4 + 0*g - 18/5*g**5 + 0*g**2. Determine l, given that s(l) = 0.
-1/3, 0
Factor 46*b**2 - 12 - 7*b - 87*b**2 + 40*b**2.
-(b + 3)*(b + 4)
Let l = -17 + 31. Factor -4 + s**3 - 31*s**2 + 15*s**2 - 7*s + l*s**2.
(s - 4)*(s + 1)**2
Suppose -35*m = -28*m + 7. Let h(l) = l**3 - l - 1. Let t(b) = 7*b**3 - 24*b**2 + 37*b - 25. Let z(y) = m*t(y) + 5*h(y). Solve z(q) = 0.
1, 10
Let u(p) be the first derivative of p**6/3 - 14*p**5/5 + 17*p**4/2 - 34*p**3/3 + 6*p**2 - 45. Determine z so that u(z) = 0.
0, 1, 2, 3
Let q(h) = 21*h**2 + 207*h + 60. Let y be (6 - 7) + 8/(-1). Let x(g) = -g. Let d(n) = y*x(n) + q(n). Determine c, given that d(c) = 0.
-10, -2/7
Factor 16/7 + 2*j**2 + 60/7*j.
2*(j + 4)*(7*j + 2)/7
Let b(f) = -8*f**2 + 9*f - 5. Let y(p) be the third derivative of -11*p**5/20 + 3*p**4/2 - 7*p**3/2 - 12*p**2. Let w(l) = -21*b(l) + 5*y(l). Factor w(h).
3*h*(h - 3)
Let o(z) be the first derivative of -8*z**3/9 - 11*z**2/3 + 2*z + 131. Let o(k) = 0. Calculate k.
-3, 1/4
Let d(v) be the third derivative of v**6/180 + v**5/9 + 8*v**4/9 + 32*v**3/9 - 107*v**2. Let d(m) = 0. What is m?
-4, -2
Let w(n) = 109*n**3 + 676*n**2 + 945*n - 154. Let s(f) = -36*f**3 - 225*f**2 - 315*f + 51. Let m(o) = -8*s(o) - 3*w(o). Let m(g) = 0. Calculate g.
-3, 2/13
Let j(g) be the third derivative of g**6/2520 - g**4/42 + 23*g**3/6 + 48*g**2. Let q(f) be the first derivative of j(f). Determine x, given that q(x) = 0.
-2, 2
Let c(q) = -q**2 + q - 1. Let y(h) = 9*h**2 + 21*h + 90. Let n(w) = -12*c(w) - y(w). Factor n(r).
3*(r - 13)*(r + 2)
Let 32 - 16/3*q - 4/3*q**5 - 88/3*q**2 + 12*q**3 + 8/3*q**4 = 0. Calculate q.
-3, -1, 2
Let f = -749 + 67411/90. Let w(c) be the third derivative of -1/315*c**7 + 0 + 1/18*c**4 + 1/9*c**3 - f*c**6 + 4*c**2 + 0*c + 0*c**5. Factor w(g).
-2*(g - 1)*(g + 1)**3/3
Let a(z) = -z**3 - 14*z**2 - 31*z + 22. Let m be a(-11). What is t in 0 - 2/11*t**3 + 0*t**2 + m*t + 2/11*t**4 = 0?
0, 1
Let y be 1/4 + (-7)/28. Find i such that y*i**3 + 12*i**4 - 4*i**3 - 2*i**4 + 4*i**2 - 10*i**3 = 0.
0, 2/5, 1
Suppose -5*v + 21 = 61. Let s be -2 + (-18)/(-5) + (v - -8). Solve -2/5*w - s*w**2 + 0 = 0.
-1/4, 0
Let b(y) be the first derivative of y**5/30 + y**4/12 - 59*y**3/18 - 5*y**2 + 150*y + 647. What is c in b(c) = 0?
-6, 5
Let g(k) be the third derivative of -k**7/8820 + k**5/420 - k**4/12 + 18*k**2. Let u(f) be the second derivative of g(f). Factor u(c).
-2*(c - 1)*(c + 1)/7
What is w in 6*w + 3/2*w**4 - 1/2*w**5 - 11/2*w**2 + 1/2*w**3 - 2 = 0?
-2, 1, 2
Let c(i) = i**2 + 9*i + 12. Let j(t) = -4*t**2 - 35*t - 47. Let y = -31 + 9. Let d = 195 - 201. Let z(a) = d*j(a) + y*c(a). Factor z(p).
2*(p + 3)**2
Let r(y) be the second derivative of 4/7*y**2 - 1/14*y**4 - 4/21*y**3 + 2/35*y**5 - 1/105*y**6 + 0 + 18*y. Let r(c) = 0. What is c?
-1, 1, 2
Let z be 1450/175 + 42/7. Factor -64/7 - 96/7*n**2 + 256/7*n - z*n**4 - 320/7*n**3.
-4*(n + 2)**2*(5*n - 2)**2/7
Let d(g) be the first derivative of -g**2/2 - g - 7. Let k be d(-4). Solve k*i**2 + 2*i - 2