(-170)/30 - -1). Factor 0*t**2 + 1/5*t**3 + 2/5*t**m + 0 + 0*t + 1/5*t**5.
t**3*(t + 1)**2/5
Let m(l) be the second derivative of l**5/10 + l**4/6 - 56*l**3/3 + 144*l**2 - 76*l. Factor m(v).
2*(v - 4)**2*(v + 9)
Suppose 12 = c - 0*c + 2*t, 2*c - 29 = -5*t. Suppose -u = 2*y - 18, -6*y = -2*y - 5*u - 36. Factor -10*x**3 + 2*x**3 - 1 - x + x**c + y*x**3.
(x - 1)*(x + 1)**2
Let j(w) = -2*w + 1. Let d be j(-2). Suppose z = -3*g + 12, -3 = -2*z + 3*g - 6. Factor 0*m**2 - 1/2*m**d - 1/2*m + 0*m**4 + m**z + 0.
-m*(m - 1)**2*(m + 1)**2/2
Let h = -38 - -44. Suppose t - t**2 - h*t**3 + 4*t**2 - t + 3*t**4 = 0. What is t?
0, 1
Let o be (-29)/(-7) - (1 + -7)*(-2)/6. Find l such that 3/7*l**2 - o + 12/7*l = 0.
-5, 1
Let g(p) be the third derivative of p**7/840 + p**6/180 + p**5/120 + 7*p**3/6 - 26*p**2. Let o(q) be the first derivative of g(q). What is l in o(l) = 0?
-1, 0
Suppose 0 = 4*o - 5*j - 12, 7*o - 3*j + 20 = 8*o. Let z(q) be the first derivative of 3*q - 45*q**4 + 108/5*q**5 + 37*q**3 - o - 15*q**2. Factor z(s).
3*(2*s - 1)**2*(3*s - 1)**2
Let f(i) be the first derivative of 1/8*i**3 - 1 + 9/8*i**2 + 27/8*i. Factor f(h).
3*(h + 3)**2/8
Let c(f) be the third derivative of f**5/150 - 13*f**4/60 + 22*f**3/15 - 84*f**2. Find y such that c(y) = 0.
2, 11
Let z(m) be the third derivative of m**5/140 - m**4/28 + 65*m**2. Find y such that z(y) = 0.
0, 2
Let m(s) be the second derivative of -1/9*s**4 - s + 0 - 9/2*s**2 + 1/3*s**3 + 1/90*s**5. Let n(x) be the first derivative of m(x). Let n(o) = 0. What is o?
1, 3
Let p(m) be the first derivative of -5*m**3/3 - 45*m**2/2 - 90. Factor p(h).
-5*h*(h + 9)
Let p(d) be the first derivative of d**3/2 + 3*d**2/4 - 9*d + 42. Factor p(i).
3*(i - 2)*(i + 3)/2
Find h, given that -2296/3*h**3 + 1140*h**2 - 1706/3*h + 284/3 + 16/3*h**4 = 0.
1/2, 142
Suppose -145 = 4*b - 33*b. Let x(n) be the third derivative of 0*n**b + 0 + 0*n**3 + 1/144*n**4 - 1/720*n**6 + 0*n + 6*n**2. Suppose x(o) = 0. What is o?
-1, 0, 1
Suppose -265 + 305 = 10*s. Factor 22/5*a + 2/5*a**2 + s.
2*(a + 1)*(a + 10)/5
Let o = 373 - 373. Let y(a) be the first derivative of o*a**2 + 0*a - 6/5*a**5 + 3/4*a**4 + 1/2*a**6 + 5 + 0*a**3. Solve y(j) = 0.
0, 1
Let y(k) be the third derivative of -1/672*k**8 + 0 + 1/40*k**6 + 39*k**2 + 0*k + 11/48*k**4 - 7/60*k**5 - 1/4*k**3 + 1/420*k**7. Solve y(b) = 0 for b.
-3, 1
Let t(j) be the third derivative of 9*j**2 - 1/160*j**6 + 1/560*j**7 + 0*j**4 + 0*j**3 + 1/160*j**5 + 0 + 0*j. Factor t(c).
3*c**2*(c - 1)**2/8
Let p(a) be the second derivative of -a**7/105 + a**6/75 + 3*a**5/50 - a**4/30 - 2*a**3/15 - 76*a. Let p(i) = 0. What is i?
-1, 0, 1, 2
Let o(q) = -8*q**2 + 45*q - 37. Let u(x) be the third derivative of x**5/3 - 14*x**4/3 + 46*x**3/3 - 22*x**2. Let a(h) = 12*o(h) + 5*u(h). Factor a(z).
4*(z - 4)*(z - 1)
Suppose -12*q - 238 = -10*q. Let p = 121 + q. Determine s so that -9/2 - 1/2*s**p - 3*s = 0.
-3
Let z(m) = -5*m - 39. Let v be z(-7). Let l be 3/6*(v + 1 + 3). Suppose 4/3*j**3 - 2/3*j**4 + 0*j - 2/3*j**2 + l = 0. Calculate j.
0, 1
Let w(n) be the third derivative of n**5/15 + 8*n**4/3 + 110*n**3/3 - 224*n**2. Find m such that w(m) = 0.
-11, -5
Determine l, given that -2*l - 1/2*l**2 + 0 = 0.
-4, 0
Let t(m) be the second derivative of 1/42*m**4 - 2 + 7*m + 1/21*m**3 - 2/7*m**2. Factor t(x).
2*(x - 1)*(x + 2)/7
Suppose -5*t = 2*b - 25, -t = 4*b - 4*t - 37. Suppose -b = -4*k + 18. Suppose 3*j**5 - 6*j**4 - 5*j**4 + j**3 + 4*j**2 + k*j**3 = 0. What is j?
-1/3, 0, 2
Let s(j) be the first derivative of j**4/34 + 4*j**3/51 - j**2/17 - 4*j/17 + 183. Factor s(g).
2*(g - 1)*(g + 1)*(g + 2)/17
Let h = -4059 + 28416/7. Factor h - 4/7*a + 1/7*a**2.
(a - 3)*(a - 1)/7
Factor -121/7*g + 0 + 22/7*g**2 - 1/7*g**3.
-g*(g - 11)**2/7
Suppose -4*y + 25 = r, 3*y + 5*r = -11 + 51. Let i(f) be the third derivative of -7*f**2 + 1/78*f**4 - 1/390*f**y + 0 - 1/39*f**3 + 0*f. Factor i(b).
-2*(b - 1)**2/13
Let a(u) = -u**2 - u. Let t(r) = 4*r**2 + r + 1. Suppose -5*c = -2*g + 35, 0*c + 15 = c + 4*g. Let q(o) = c*t(o) - 15*a(o). Factor q(p).
-5*(p - 1)**2
Let n = -61 + 64. Let q(l) = -2*l**2 - l. Let p(i) = i**2. Let b(s) = n*p(s) + 2*q(s). Factor b(c).
-c*(c + 2)
Let n(l) be the first derivative of -3 + 1/14*l**4 + 0*l + 2/35*l**5 - 2/21*l**3 - 1/7*l**2. Factor n(r).
2*r*(r - 1)*(r + 1)**2/7
Let b(a) be the second derivative of -27/4*a**2 + 3/40*a**5 + 5/8*a**4 - 26*a + 0 + 3/4*a**3. Find w such that b(w) = 0.
-3, 1
Let l(u) be the first derivative of 2*u**5/75 - u**4/3 + 74*u**3/45 - 4*u**2 + 24*u/5 - 74. Factor l(w).
2*(w - 3)**2*(w - 2)**2/15
Let g(k) be the first derivative of 3/16*k**4 + 3/20*k**5 + 0*k + 0*k**3 - 38 + 0*k**2. Suppose g(r) = 0. What is r?
-1, 0
Let g be 0 - (13/(-65) - 14/5). Let r be g/6*3/9. Solve -1/6*f**2 - r*f**5 + 0*f - 1/2*f**4 + 0 - 1/2*f**3 = 0.
-1, 0
Determine x, given that -16*x**2 - 44*x - 8 - 363*x**3 + 367*x**3 - 11 - 5 = 0.
-1, 6
Suppose -4*l + 2*g = 6 - 0, -21 = -l - 4*g. Let n = 3 - l. Factor -156 + j**n - j + 156.
j*(j - 1)
Let q(n) = 2*n**2 + 22*n - 21. Let y be q(-12). Let p be (-1045)/(-741) - 1/y. Find z, given that p*z + 10/13*z**2 + 4/13 = 0.
-1, -2/5
Let i(c) be the first derivative of -c**4/28 + 11*c**3/7 + 134. Find o such that i(o) = 0.
0, 33
Let k be (-7 + (-570)/(-75))/(1*(-9)/(-20)). Factor 4/9 - 4/9*y**3 - 4/3*y + k*y**2.
-4*(y - 1)**3/9
Suppose 784/3 + 2632/3*a - 388/3*a**2 + 14/3*a**3 = 0. What is a?
-2/7, 14
Let s(k) be the second derivative of 13*k**4/16 - k**3/2 - 57*k. Factor s(q).
3*q*(13*q - 4)/4
Suppose 4*h = 9*h - 225. Let n = 45 - h. Factor 0*y - 3/2*y**4 + n + 3*y**2 + 3/2*y**3.
-3*y**2*(y - 2)*(y + 1)/2
Let i(q) be the third derivative of -1/9*q**3 + 0*q - 1/15*q**5 - 1/45*q**6 - 1/9*q**4 - 10*q**2 - 1/315*q**7 + 0. Determine n so that i(n) = 0.
-1
Let z(d) be the first derivative of 1/3*d**3 + 3/2*d**2 + 6 + 2*d. Let z(l) = 0. Calculate l.
-2, -1
Let f = -26891/4 - -6723. Find l, given that -3/4*l**2 - f*l**3 + 1/4*l + 3/4 = 0.
-3, -1, 1
Suppose 3*v = -0*v. Let u be ((-58 - -63) + -9 + 0)/(-4). Let -u + 1/2*h**3 + v*h**2 - 3/2*h = 0. What is h?
-1, 2
Let u(q) be the first derivative of 2*q**5/5 - 2*q**4 - 6*q**3 + 16*q**2 + 40*q + 369. Solve u(k) = 0.
-2, -1, 2, 5
Suppose 0 + 0*j**2 - 3/5*j**3 + 3/5*j = 0. What is j?
-1, 0, 1
Suppose 8*m - 13 = 19. Let r(n) be the second derivative of 4/9*n**3 + 0 + 1/18*n**m + n + n**2. Factor r(o).
2*(o + 1)*(o + 3)/3
Let x(p) be the first derivative of 16/9*p**3 + 2/3*p + 13/6*p**2 - 4/5*p**5 - 19/12*p**4 - 8. Suppose x(h) = 0. What is h?
-2, -1/3, -1/4, 1
Let v(q) be the first derivative of q**7/420 + q**6/120 + q**5/120 + 8*q**2 + 6. Let c(i) be the second derivative of v(i). Solve c(f) = 0 for f.
-1, 0
Let j = 5/6916 - -7019695/62244. Let g = 113 - j. Factor 4/9*f**2 - g*f**5 + 2/9*f + 0*f**3 + 0 - 4/9*f**4.
-2*f*(f - 1)*(f + 1)**3/9
Let h(j) be the third derivative of j**9/332640 + j**8/13860 + 37*j**5/60 - 43*j**2. Let r(v) be the third derivative of h(v). Factor r(x).
2*x**2*(x + 8)/11
Factor 6/5*l - 2/5 - 2/5*l**5 - 4/5*l**3 + 6/5*l**4 - 4/5*l**2.
-2*(l - 1)**4*(l + 1)/5
Let p(u) be the second derivative of 0 + 3/4*u**4 - 3/20*u**5 + 3*u**2 + 5/2*u**3 - 1/10*u**6 + 19*u. Factor p(h).
-3*(h - 2)*(h + 1)**3
Let n = -45 + 45. Let y(g) be the first derivative of n*g**2 + 0*g + 3/10*g**4 - 2/25*g**5 - 4/15*g**3 - 1. Let y(z) = 0. Calculate z.
0, 1, 2
Let s be ((63/35)/((-308)/(-55)))/((-1)/(-4)). What is m in -3/7*m + 0 + 12/7*m**2 - s*m**3 = 0?
0, 1/3, 1
Let g(p) = -p + 21. Let a be g(-10). Let n = a - 28. Factor 2/9*b - 2/9*b**2 - 2/9*b**n + 0 + 2/9*b**4.
2*b*(b - 1)**2*(b + 1)/9
Let d(r) = -8*r**5 + 2*r**4 - 4*r**3 + 7*r**2 - 7*r. Let c(h) = 7*h**5 - 2*h**4 + 3*h**3 - 6*h**2 + 6*h. Let z(o) = 7*c(o) + 6*d(o). Solve z(k) = 0.
-1, 0, 3
Suppose -9*z + 4 = -8*z. Determine m, given that -6*m**5 + 57*m + 8*m**z - 29*m + 8*m**3 - 8 + 2*m**5 - 32*m**2 = 0.
-2, 1
Let t(s) be the second derivative of -1/5*s**5 + 3/2*s**3 + 0 + s**2 + 1/4*s**4 - 16*s. Factor t(q).
-(q - 2)*(q + 1)*(4*q + 1)
Let x = 5908 + -5905. Let 0*t + 2/13*t**4 - 4/13*t**2 + 0 - 2/13*t**x = 0. What is t?
-1, 0, 2
Let l(i) be the third derivative of 7*i**6/30 - 44*i**5/15 - 37*i**4/6 + 28*i**3/3 + 6*i**2 - 22*i. Factor l(j).
4*(j - 7)*(j + 1)*(7*j - 2)
Let o be (-2)/9