*r**2 + 11*r**3 + r.
3*r*(r + 2)*(r + 3)
Let c(v) be the second derivative of 0 + 1/135*v**6 + 0*v**2 - 1/30*v**5 + 1/27*v**4 + 0*v**3 + 13*v. Factor c(p).
2*p**2*(p - 2)*(p - 1)/9
Suppose 2*q + 2 = 404. Let b = -999/5 + q. Factor -3/5*g + 6/5*g**2 + 3/5*g**3 - b.
3*(g - 1)*(g + 1)*(g + 2)/5
Let a(d) = -9*d**2 - 3*d + 11. Let t(f) = -5*f**2 - 3*f + 5. Let z(o) = 3*a(o) - 5*t(o). Factor z(m).
-2*(m - 4)*(m + 1)
Let j(d) be the first derivative of 4/7*d - 1/14*d**4 - 6 - 4/21*d**3 + 1/7*d**2. Let j(q) = 0. Calculate q.
-2, -1, 1
Let p be 33/3 + -1 + 2 + -2. Let x be 19/p - 8/20. Factor 0*l**2 + l**5 - x*l**4 + 0 + 0*l + 1/2*l**3.
l**3*(l - 1)*(2*l - 1)/2
Find c such that -4*c - 2/3*c**2 + 4/9*c**3 - 16/9 = 0.
-2, -1/2, 4
Let c be 2 + (-24)/(-21) + (-1)/7. Factor 11*f**c - 2*f**4 - 3*f**4 - 4*f**3 + 2*f**2 - 4*f**2.
-f**2*(f - 1)*(5*f - 2)
Let n(o) = 286*o**2 + 2*o - 3. Let a be n(1). Determine g so that -1 + g**4 + 2*g + 282*g**2 - a*g**2 + 1 = 0.
-2, 0, 1
Let l = 51 - 55. Let d be (-2)/(-6) - l/(-12). Factor -1/4*w**2 + 1/4 + d*w.
-(w - 1)*(w + 1)/4
Factor 162/7*q**2 + 32/7 - 144/7*q.
2*(9*q - 4)**2/7
Let b(r) be the third derivative of r**5/120 + r**4/24 - 2*r**3/3 + 227*r**2. Factor b(g).
(g - 2)*(g + 4)/2
Let c be 15/6*(-100)/(-625). Determine m, given that -m - c - 4/5*m**2 - 1/5*m**3 = 0.
-2, -1
Let y(h) be the third derivative of h**5/15 - 14*h**4/3 - 58*h**3/3 - 131*h**2. Factor y(j).
4*(j - 29)*(j + 1)
Let i = 128 + -124. Let r(x) be the third derivative of 1/30*x**i - 1/150*x**5 + 0*x**3 + 0*x + 0 - 2*x**2. Find d such that r(d) = 0.
0, 2
Suppose -26*q + s = -22*q, 0 = -4*s. Suppose 10/9*r**2 - 8/9*r**3 - 4/9*r + q + 2/9*r**4 = 0. What is r?
0, 1, 2
Let t(y) be the first derivative of -3*y**4/10 - 3*y**3/5 - 3*y**2/10 + 127. Let t(h) = 0. Calculate h.
-1, -1/2, 0
Let o(p) be the first derivative of 6 + 3/8*p**3 - 3/40*p**5 - 15/16*p**2 + 3/32*p**4 + 3/4*p. Factor o(g).
-3*(g - 1)**3*(g + 2)/8
Let n(g) = -2*g**2 + 22*g. Let l(h) = 2*h. Suppose 15 + 13 = -14*i. Let k(w) = i*n(w) + 18*l(w). Find r such that k(r) = 0.
0, 2
Let r(f) be the third derivative of -2*f**7/105 - 29*f**6/30 + 31*f**5/5 - 95*f**4/6 + 64*f**3/3 + 38*f**2 + 3. Determine w, given that r(w) = 0.
-32, 1
Let i(k) be the second derivative of 2*k**6/15 - 12*k**5/5 - 39*k**4 - 584*k**3/3 - 456*k**2 - k. Factor i(c).
4*(c - 19)*(c + 2)**2*(c + 3)
Suppose -4*a + 26 = -3*o, -5*o + o - 23 = -3*a. Let w be ((-80)/(-60))/(o + 7 + 1). Factor 2/3 + 8/9*y + w*y**2.
2*(y + 1)*(y + 3)/9
Let a be (-126)/(-33) + (356/267)/(22/3). Solve 0*f**3 + 0*f + 0 + 0*f**2 - 1/3*f**5 + 0*f**a = 0.
0
Suppose -51*a + 6*a**3 - 21/2 - 69/2*a**2 = 0. Calculate a.
-1, -1/4, 7
Let n(i) = 9*i**2 - 46*i + 73. Let c = 5 - -5. Let d(k) = 21 - c - 37*k + 13 + 22*k + 3*k**2. Let w(p) = 8*d(p) - 3*n(p). Find h, given that w(h) = 0.
3
Let u(x) be the second derivative of 0 + 0*x**3 + 3/20*x**5 - 1/28*x**7 + 0*x**2 + 0*x**4 + 32*x - 1/20*x**6. Factor u(r).
-3*r**3*(r - 1)*(r + 2)/2
Suppose 6*n - 2*n = h - 1, -3*n = -h + 2. Let x(o) = 5*o**2 + 25*o + 10. Let r(s) = -3*s**2 - 12*s - 5. Let f(g) = h*r(g) + 2*x(g). Factor f(m).
-5*(m + 1)**2
Suppose -3 - 4*p - 4 - 2 - p**3 + 7*p**2 - 8 + 5 = 0. Calculate p.
-1, 2, 6
Let v = 567649/9 - 63069. What is m in v*m**2 - 40/3*m + 32/9 = 0?
2/7, 4
Let j = -211 - -205. Let o be 6/36*j*2/(-4). Determine l so that -1/4*l**4 + 7/4*l - o - 9/4*l**2 + 5/4*l**3 = 0.
1, 2
Let i(t) = 35*t**4 - 107*t**3 + 70*t**2 - 4*t + 6. Let p(r) = 34*r**4 - 104*r**3 + 69*r**2 - 4*r + 5. Let s(j) = 5*i(j) - 6*p(j). Factor s(l).
-l*(l - 2)*(l - 1)*(29*l - 2)
Let w(f) be the first derivative of f**4/12 - 7*f**3/9 + 5*f**2/3 - 301. Factor w(h).
h*(h - 5)*(h - 2)/3
Let v be 2/12 - 88/(-48). Factor -130 - 6*c**2 - 66 + 5*c**v - 3*c**2 + 56*c.
-4*(c - 7)**2
Let u(o) be the third derivative of -o**8/1008 + 2*o**7/189 - o**6/30 + 4*o**5/135 + 35*o**2. Suppose u(j) = 0. Calculate j.
0, 2/3, 2, 4
Let c(y) = y**2 + 11*y + 10. Let s = -11 - -8. Let t(g) = 2*g**2 + 32*g + 30. Let d(o) = s*t(o) + 8*c(o). Factor d(w).
2*(w - 5)*(w + 1)
Let j be -6 - 2/(-144) - -6. Let p(g) be the third derivative of 0 + 0*g + 1/90*g**7 + 0*g**4 - j*g**6 + 0*g**3 - 5*g**2 - 1/90*g**5. Factor p(f).
f**2*(f - 1)*(7*f + 2)/3
Let m(j) be the second derivative of -5*j**4/12 + 295*j**3/3 - 17405*j**2/2 + 303*j. Suppose m(t) = 0. What is t?
59
Let z(j) be the first derivative of -j**5/15 - j**4/2 - 4*j**3/3 + 3*j**2/2 + 14. Let g(l) be the second derivative of z(l). Let g(p) = 0. Calculate p.
-2, -1
Let v(x) be the third derivative of -x**6/240 - x**5/12 - 11*x**4/16 - 3*x**3 - 2*x**2 + 45. Factor v(j).
-(j + 3)**2*(j + 4)/2
Let z be -159*6/2 - 16/(-8). Let i be ((-19)/z)/(2/10). Factor -1/5*v + i*v**2 - 1/5 + 1/5*v**3.
(v - 1)*(v + 1)**2/5
Let a be -1 - (-5)/10*6. Let s be (1 - (-4 - 0)) + -1. Factor -o**2 + 12*o**s + 5*o**5 - 5*o**2 + 4*o**a + 9*o**3 + 4*o**2.
o**2*(o + 1)**2*(5*o + 2)
Let g(i) be the second derivative of 49*i**7/13 + 5194*i**6/195 + 609*i**5/10 + 886*i**4/13 + 1648*i**3/39 + 192*i**2/13 + i - 27. What is c in g(c) = 0?
-3, -4/7, -1/3
Suppose -4*j - 10*j = -42. Let r(z) be the second derivative of -3/2*z**2 - 1/4*z**4 - 4*z + 0 - z**j. Factor r(f).
-3*(f + 1)**2
Let l(m) = -10*m + 84. Let z be l(8). Let q(a) be the first derivative of -3/20*a**4 - 2/5*a**3 + 6/5*a**2 - z + 24/5*a. Let q(k) = 0. Calculate k.
-2, 2
Let s(y) be the first derivative of y**9/15120 - y**8/8400 - y**7/840 - y**6/600 - 16*y**3/3 - 19. Let t(m) be the third derivative of s(m). Factor t(i).
i**2*(i - 3)*(i + 1)**2/5
Let f(u) be the first derivative of 0*u**3 + 1/720*u**6 + 0*u - 2 - 1/90*u**5 + 0*u**4 - 3*u**2. Let x(y) be the second derivative of f(y). Factor x(p).
p**2*(p - 4)/6
Suppose 3*m + 71 = 4*s + 57, 0 = s + 3*m + 4. Let d(c) be the second derivative of -7*c + 1/2*c**3 + 0*c**s - 1/4*c**4 + 0. Factor d(l).
-3*l*(l - 1)
Factor -13*b**2 + 0*b**3 + 6*b + 4*b + b**4 + 0*b**3 - b**3 + 3*b**3.
b*(b - 2)*(b - 1)*(b + 5)
Let v(u) be the second derivative of u**4/24 + u**3/2 + 9*u**2/4 + 19*u - 3. Factor v(i).
(i + 3)**2/2
Let q be 3 - 6*1/6. Suppose 2*i = q*b - 2, 3 = 7*b - 12*b - 3*i. Solve 0 + 4/13*w**2 - 6/13*w**3 + 2/13*w**4 + b*w = 0 for w.
0, 1, 2
Determine m, given that -64/5 - 4/5*m**3 + 16/5*m + 16/5*m**2 = 0.
-2, 2, 4
Let v = 40/13 - 163/91. Factor 0 + 24/7*o**2 - 16/7*o - v*o**3 + 1/7*o**4.
o*(o - 4)**2*(o - 1)/7
Let q = -362 + 362. Factor 0 + q*j + 0*j**2 - 12/7*j**5 + 3/7*j**3 + 0*j**4.
-3*j**3*(2*j - 1)*(2*j + 1)/7
Let l(r) be the third derivative of r**7/560 - 11*r**6/1440 + r**5/120 + r**4/6 - 16*r**2. Let g(a) be the second derivative of l(a). Factor g(m).
(m - 1)*(9*m - 2)/2
Determine r, given that 4/3*r**2 + 992/3*r + 61504/3 = 0.
-124
Let y(b) = -2*b**2 - 134*b + 148. Let f(p) = 4*p**2 + 264*p - 298. Let a(m) = 4*f(m) + 10*y(m). Suppose a(j) = 0. What is j?
-72, 1
Let s(c) be the third derivative of 0 + 1/36*c**4 - 1/18*c**3 - 27*c**2 + 0*c - 1/180*c**5. Factor s(y).
-(y - 1)**2/3
Let p(y) be the first derivative of y**6/80 + 17*y**5/80 - 3*y**4/8 + 22*y**3/3 + 20. Let i(s) be the third derivative of p(s). Determine q so that i(q) = 0.
-6, 1/3
Let q(u) be the third derivative of -u**7/5040 - u**6/1440 + u**5/40 + 19*u**4/12 + 32*u**2. Let d(m) be the second derivative of q(m). Factor d(o).
-(o - 2)*(o + 3)/2
Let t = -33/17 + 83/34. Let f(x) be the first derivative of -t*x**4 + 5 + 4*x - 4/3*x**3 + x**2. Find j, given that f(j) = 0.
-2, -1, 1
Factor 3*t**2 + 14 + 22 + 6 - 24 - 27*t + 6.
3*(t - 8)*(t - 1)
Solve 0 + 0*a + 0*a**2 - 9/2*a**3 - 3/2*a**4 = 0.
-3, 0
Suppose -2/7*j**4 + 0 - 2/7*j**3 + 8/7*j**2 + 8/7*j = 0. What is j?
-2, -1, 0, 2
Let b(r) = 2*r - 12. Let t be b(0). Let q be 8/(-48) + (-62)/t. Find w, given that -18*w - w**4 + 14*w + w**q - 4*w**2 + 3*w**3 + 5*w**4 = 0.
-2, -1, 0, 1
Solve 3*q**2 - 40 - 27979*q + 28020*q - 4*q**2 = 0.
1, 40
Let b(z) = -z**2 - 65*z - 550. Let k be b(-10). Suppose 0*q + k + 1/3*q**3 - 2/3*q**2 + 1/3*q**4 = 0. What is q?
-2, 0, 1
Factor 3/5*r**3 + 9*r - 48/5*r**2 + 0.
3*r*(r - 15)*(r - 1)/5
Let t = 16 - -59. Let l = -217/3 + t. Factor 4/3*i**2 + l*i**3 - 10/3*i + 4/3 - 8/3*i**4 + 2/3*i**5.
2*(i - 2)*(i - 1)**3*(i + 1)/3
Let r(l) = 22*l**2 + 300*l + 572. Let i(u) = 7*u**2 + 100*u + 190.