1)*(p + 1)*(p + 2)**2
Suppose -s = t + 74 - 73, -4*s + t = -11. Find j such that -32/9 - 16/9*j - 2/9*j**s = 0.
-4
Let m(o) be the second derivative of 25*o**7/84 + o**6 + 23*o**5/20 + o**4/2 + o**3/12 - 83*o. Factor m(f).
f*(f + 1)**2*(5*f + 1)**2/2
Suppose 2*p + 3*o = 3*p - 11, 5*o = -4*p - 7. Find h such that -5*h**3 + 3*h**3 - 37*h**2 + 45*h**p = 0.
0, 4
Let a = -20 - -14. Let j(b) = -b**2 - 7*b - 4. Let z be j(a). Factor 6*r**z - 4*r - 2*r**4 - 1 + 1.
-2*r*(r - 1)**2*(r + 2)
Let y(k) be the second derivative of -2/15*k**3 - 23*k + 1/15*k**4 + 0*k**2 + 0. Factor y(l).
4*l*(l - 1)/5
Let t be -1 + (10 - 9) + 2. What is k in 4/15*k**t + 2/15*k**3 + 2/15*k + 0 = 0?
-1, 0
Let c be (4/2)/((-15)/(-240)). Suppose -k + 10 + 0 = 2*m, -5*k + c = 4*m. Factor -7*z**4 + 7*z**3 + 13*z**3 - 5*z**4 - 4*z**2 - k*z**4.
-4*z**2*(z - 1)*(4*z - 1)
Factor 12 - 3/8*y**3 - 12*y + 15/4*y**2.
-3*(y - 4)**2*(y - 2)/8
Let x(l) = 7*l**3 - l**2 - l + 1. Suppose 3*k + 2*k = -3*w + 11, -3*w = -4*k - 2. Let d be x(k). Factor 40/3*y**3 - 20*y + d + 8/3*y**4 + 26/3*y**2.
2*(y + 3)**2*(2*y - 1)**2/3
Let a(k) be the second derivative of 3*k**5/20 - 5*k**4/4 + 2*k**3 + 2*k - 11. Factor a(i).
3*i*(i - 4)*(i - 1)
Let g be (72/20 + -3)*(3 + 17). Determine h so that g*h - 2*h - 4*h + h**2 = 0.
-6, 0
Let z(b) be the second derivative of 2/15*b**3 + 1/75*b**6 + 0 + 0*b**2 + 2/25*b**5 + 16*b + 1/6*b**4. Factor z(y).
2*y*(y + 1)**2*(y + 2)/5
Let s(j) be the second derivative of j**7/1365 + j**6/780 - j**5/390 - j**4/156 + 5*j**2/2 - 12*j. Let i(d) be the first derivative of s(d). Factor i(h).
2*h*(h - 1)*(h + 1)**2/13
Let h(k) be the first derivative of -k**6/18 - k**5/5 + 5*k**4/12 + k**3/3 - 2*k**2/3 + 107. Determine t, given that h(t) = 0.
-4, -1, 0, 1
Factor -255*h - 154*h**2 + 63*h**3 - 332*h**2 - 3*h**4 - 957 - 537 - 450 + 1875*h.
-3*(h - 6)**3*(h - 3)
Let w(f) be the second derivative of 8*f + 1/16*f**4 + 0*f**2 + 1/80*f**5 + 0 + 1/12*f**3. Factor w(h).
h*(h + 1)*(h + 2)/4
Let z(u) = u**3 - 5*u**2 - 11*u - 5. Let h be 4*(-5 + (-81)/(-12)). Let y(o) = 2*o**3 - 7*o**2 - 16*o - 7. Let c(r) = h*z(r) - 5*y(r). Factor c(j).
-3*j*(j - 1)*(j + 1)
Suppose 2*v - 1 = -5*y, -11 = -5*v + v - y. Let w(n) be the first derivative of 1/2*n**6 + 0*n**v + 0*n**4 + 0*n**2 - 1 - 3/5*n**5 + 0*n. Factor w(a).
3*a**4*(a - 1)
Let q be (-2 - -1)/(11 - 12)*0. Let p be (-30)/9*(q - 9/6). Factor 0 + 4/5*n + 2/5*n**p + 18/5*n**3 - 2*n**4 - 14/5*n**2.
2*n*(n - 2)*(n - 1)**3/5
Let t(u) be the second derivative of -u**4/8 - 5*u**3/2 - 2*u + 89. What is d in t(d) = 0?
-10, 0
Let i be 12 + -9 - 10 - -10. Let z(d) be the first derivative of 4/5*d**2 - 242/25*d**5 + 33/2*d**4 + 5 + 0*d - 32/5*d**i. Factor z(u).
-2*u*(u - 1)*(11*u - 2)**2/5
Factor 2 + 3275*u - 4 + u**2 - 3278*u - 2.
(u - 4)*(u + 1)
Let b(u) be the first derivative of -9 + 0*u - 4/5*u**2 + 2/15*u**3. Factor b(p).
2*p*(p - 4)/5
Let v(y) be the second derivative of -y**4/48 + 7*y**3/4 + 43*y**2/8 + 327*y - 2. Factor v(t).
-(t - 43)*(t + 1)/4
Suppose -3*i + 9 = 0, -3 = 3*z - 22*i + 21*i. Let z*o - 1/3*o**2 + 1/3 = 0. Calculate o.
-1, 1
Let c(y) = -y - 28 + 2*y + 28. Let z(j) = -5*j**2 - 21*j - 10. Let r(v) = 6*c(v) + z(v). Solve r(o) = 0.
-2, -1
Suppose a + 2*a + 3*b - 27 = 0, 15 = 5*b. Let x be 7/(-21) - (-14)/a. Solve -6*l**x + 2*l**2 - 2*l + 5*l**2 + l**2 - 4 = 0.
-1, 2
Let j(p) be the third derivative of -p**5/80 + p**4/2 + 2*p**2 - 54*p. Factor j(d).
-3*d*(d - 16)/4
Let p(w) be the third derivative of 1/48*w**6 + 0*w**3 + 0*w**4 + 0*w**5 - 23*w**2 + 0 + 0*w + 1/420*w**7. Factor p(b).
b**3*(b + 5)/2
Let m(i) be the first derivative of i**6/585 + i**5/780 + 7*i**3/3 + 21. Let t(n) be the third derivative of m(n). Factor t(l).
2*l*(4*l + 1)/13
Let o = 239 + -239. Let s(c) be the third derivative of 0*c**4 + 0 - 1/10*c**5 + o*c - c**2 - 3/40*c**6 - 1/70*c**7 + 0*c**3. Suppose s(r) = 0. Calculate r.
-2, -1, 0
Suppose -20/7 - 22/7*f - 2/7*f**2 = 0. What is f?
-10, -1
Suppose -2*s - 14/3 + 1/6*s**2 = 0. What is s?
-2, 14
Let f(m) = 3*m**2 - 208*m - 3677. Let i(z) = 33*z**2 - 2079*z - 36771. Let a(k) = -21*f(k) + 2*i(k). Solve a(x) = 0.
-35
Find k such that -64 + 24*k**2 + 25 + 19 + 28*k + 24 = 0.
-1, -1/6
Factor -366 + 4*d**3 - 40*d + 2*d**4 + 414 + d**2 - 14*d**2 - d**4.
(d - 3)*(d - 1)*(d + 4)**2
Suppose 5*q = 5*p + 15, 2*p + 3*p + 13 = 4*q. Suppose -c + 12 = 5*l - 12, 2*l - q*c = 0. Find t such that 3*t - 7*t**2 + 2*t**4 - t**l - 2*t**4 + 5*t**3 = 0.
0, 1, 3
Let p(r) be the first derivative of -1/2*r**4 + 1/6*r**3 - 9 + r**2 + 0*r - 1/10*r**5. Solve p(y) = 0 for y.
-4, -1, 0, 1
Let j(g) be the second derivative of -132*g**7/49 - 83*g**6/35 + 47*g**5/14 + 13*g**4/14 - 43*g**3/21 + 6*g**2/7 - 10*g + 3. Solve j(h) = 0 for h.
-1, -6/11, 1/4, 1/3
Let f(r) = -r**2 + r + 1. Suppose -29 = 2*l + 3*l + 2*m, 4*l + m = -22. Let n(j) = -7*j**2 + 7*j + 8. Let y(z) = l*n(z) + 40*f(z). Factor y(x).
-5*x*(x - 1)
Let j be 20/90 + (1090/(-450) - -4). Determine g so that 6/5*g + 3/5*g**3 + j*g**2 + 0 = 0.
-2, -1, 0
Suppose -2*b + 108 = 25*b. Let p(d) be the first derivative of -2/15*d**5 - 1/9*d**6 + 1/6*d**b - 3 + 0*d**2 + 0*d + 2/9*d**3. Determine s, given that p(s) = 0.
-1, 0, 1
Let a(p) be the third derivative of 0*p**5 + 5*p**2 + 1/480*p**6 + 0*p + 0*p**3 + 1/672*p**8 - 1/280*p**7 + 0 + 0*p**4. Let a(r) = 0. What is r?
0, 1/2, 1
Let s(p) = 2*p**2 + 5*p + 11. Let u be (-2)/7*7*-1. Let a be 1 + (-1)/(u/(-6)). Let q(t) = -t**2 - 2*t - 5. Let x(c) = a*s(c) + 9*q(c). Factor x(g).
-(g - 1)**2
Suppose -2*a = y - 34, -25 = -2*a + 3*y - 7. Let c = 18 - a. Factor -7*r**2 - 3*r**c + 5*r - 11*r - 2*r**2.
-3*r*(r + 1)*(r + 2)
Suppose 5*a = -2*r + 31, -5*r + 5 = 394*a - 396*a. Find s such that 3/4*s**3 + r*s**4 + 0 - 3/4*s - 3*s**2 = 0.
-1, -1/4, 0, 1
Let g(h) be the third derivative of -2/315*h**7 - 4/9*h**3 + 20*h**2 - 1/1008*h**8 + 1/18*h**4 + 0 - 1/360*h**6 + 1/18*h**5 + 0*h. Factor g(j).
-(j - 1)**2*(j + 2)**3/3
Let i(s) = 9*s**2 - 60*s - 21. Let m be i(7). Factor -2*g**4 + 0 + 0*g + m*g**3 + 0*g**2 + 2/3*g**5.
2*g**4*(g - 3)/3
Suppose -15*i = 29 - 89. Let c be -1 - 1/(1*-1). What is l in -2*l**3 + c - 1/2*l**i - 5/2*l**2 - l = 0?
-2, -1, 0
Let t(q) be the first derivative of -1/22*q**4 + 1/11*q**2 + 0*q**3 + 12 + 0*q. Factor t(k).
-2*k*(k - 1)*(k + 1)/11
Let u(q) = 5*q**2 - 480*q + 28797. Let l(g) = -g**2 + 1. Let w(t) = -6*l(t) - 2*u(t). Find i, given that w(i) = 0.
120
Factor -3*t**2 + 480 - 480 - 21*t.
-3*t*(t + 7)
Let a(w) be the second derivative of w**4/6 - 161*w**3/30 - 33*w**2/5 - 166*w. Factor a(j).
(2*j - 33)*(5*j + 2)/5
Let c be 2 + (-16 - (1 - -2)). Let m = c - -21. Factor -23*d**4 + 98*d**5 + 8*d**3 - 27*d**m + 13*d**4 - 19*d**4.
2*d**3*(7*d - 2)**2
Let d(l) be the first derivative of l**7/525 - l**6/300 - l**5/25 + l**4/15 + 8*l**3/15 + 13*l**2/2 + 8. Let x(j) be the second derivative of d(j). Factor x(t).
2*(t - 2)**2*(t + 1)*(t + 2)/5
Let p = -592 + 594. Factor 1/2*g**p + 1/2*g**3 - g + 0.
g*(g - 1)*(g + 2)/2
Let x = 2359 - 11793/5. Solve 0*i**2 + x*i**5 + 0 + 4/5*i**3 - 6/5*i**4 + 0*i = 0.
0, 1, 2
Let x(r) be the second derivative of r**5/30 - r**3/9 + 28*r. Factor x(t).
2*t*(t - 1)*(t + 1)/3
Suppose -2*a = 3*k - 37, 0 = a - 2*k + 3 - 25. Find h such that -2*h**2 - 4*h - 16 + h**2 + a*h - 3*h**2 = 0.
2
Let r be (-8)/(-4)*(-2)/4*(16 - 18). Factor 0*v**r - 1/4 + 3/8*v - 1/8*v**3.
-(v - 1)**2*(v + 2)/8
Let n(c) be the first derivative of -c**6/9 + 4*c**5/15 - 4*c**3/9 + c**2/3 + 92. Factor n(u).
-2*u*(u - 1)**3*(u + 1)/3
Let m be 0 + (4/(-2) - -5). Find y, given that -6*y**3 - y**3 + m*y**3 - 8*y**2 + 8*y**3 = 0.
0, 2
Find k such that 1/6*k**4 + 101761*k**2 + 10355301121/6 + 638/3*k**3 + 64923518/3*k = 0.
-319
Let i(t) = 65*t**2 + 17090*t + 1149825. Let b(g) = -5*g**2 - 1315*g - 88448. Let u(y) = 40*b(y) + 3*i(y). Factor u(j).
-5*(j + 133)**2
Let o(u) be the third derivative of -u**5/40 + 31*u**4/16 + 38*u**2 + 1. Factor o(g).
-3*g*(g - 31)/2
Let c(t) be the third derivative of t**5/150 + 7*t**4/20 - 46*t**3/15 + 356*t**2. Factor c(y).
2*(y - 2)*(y + 23)/5
Suppose -m - 7 = -2*t, m - 58 = -57. Suppose 0 = -5*k - 0*k. Factor k*x**t + 0*x - 4/5*x**3 + 0*x**2 + 4/5*x**5 + 0.
4*x**3*(x - 1)*(x + 1)/5
Let a(n) be the second derivative of n**6/40 + 3*n**5/40 - 3*