4*l**2 = 0.
1, 2
Let a(j) be the first derivative of -j**3/3 - 2*j**2 + 3*j - 3. Let s(t) = -2*t**2 - 9*t + 7. Let f(z) = -7*a(z) + 3*s(z). Factor f(h).
h*(h + 1)
Let t(p) be the second derivative of -5*p**7/56 + 11*p**6/120 + 13*p**5/80 - 11*p**4/48 + p**3/12 + p. Suppose t(a) = 0. Calculate a.
-1, 0, 1/3, 2/5, 1
Suppose 60 = 4*b + 4*z, 0 = -b + 4*z - 0*z. Let o = 110/9 - b. Factor -o*y - 2/9*y**5 + 0*y**2 + 4/9*y**3 + 0*y**4 + 0.
-2*y*(y - 1)**2*(y + 1)**2/9
Let r be (16/(-10))/(4/(-10)). Suppose -2*y + 12 = y. Factor y*t - 11*t**2 - 3*t**2 - 22*t - r.
-2*(t + 1)*(7*t + 2)
Let r(k) = -2*k**2 - 2*k + 2. Let v(d) = 6*d**2 + 7*d - 7. Suppose 5 + 2 = -q - l, 2*l + 6 = 2*q. Let p(o) = q*v(o) - 7*r(o). Factor p(y).
2*y**2
Let d(n) = 4*n**3 + 13*n**2 - 3*n. Let x(h) = -3*h**3 - 12*h**2 + 3*h. Let j(k) = 6*d(k) + 7*x(k). Factor j(s).
3*s*(s - 1)**2
Suppose 0 = t - 2*t + 2. Let -2*q**t + 0*q + 2*q + 2*q = 0. What is q?
0, 2
Let d be (-2)/(-10) + 20/25. Factor -d + 3*h**2 - 9 + 7.
3*(h - 1)*(h + 1)
Let k(g) = -g**2 - 10*g - 5. Let f be k(-9). Suppose 0 = 2*y - 4*r + 1 + 15, 4*y + 12 = f*r. Factor 4*z - 1 + 1 + 2 + y*z**2.
2*(z + 1)**2
Let v be -5 - ((-5)/(-20))/(28/(-624)). Let -4/7*i**2 + 4/7 + v*i - 4/7*i**3 = 0. Calculate i.
-1, 1
Let a(o) be the second derivative of -5*o**7/42 + 11*o**6/6 - 9*o**5 + 20*o**4/3 + 160*o**3/3 - 19*o. Solve a(b) = 0.
-1, 0, 4
Let b(r) = -5*r**2 - 17*r - 6. Let u be b(-3). Factor u - 1/6*p - 1/6*p**2.
-p*(p + 1)/6
Let s(n) be the third derivative of n**5/360 + n**4/8 + 9*n**3/4 + 14*n**2. Let s(x) = 0. What is x?
-9
Factor -5*b + 3*b + 3*b**3 + 3*b**2 - b + 0*b - 3*b**4.
-3*b*(b - 1)**2*(b + 1)
Determine x, given that 10/9*x - 14/9*x**2 + 4/9 = 0.
-2/7, 1
Let j(z) be the first derivative of -1/15*z**2 + 2/15*z - 10 + 1/30*z**4 - 2/45*z**3. Find x, given that j(x) = 0.
-1, 1
Let q(c) = -9*c**2 - 18*c - 27. Let s(x) = 27 - 3*x**2 + 7*x**2 + 18*x + 6*x**2. Let m(a) = 7*q(a) + 6*s(a). Factor m(j).
-3*(j + 3)**2
Let n = 5 - 2. Let y = 35/2 - 17. Find q, given that y*q**n - 1/4*q**5 - 1/4 - 1/4*q + 1/2*q**2 - 1/4*q**4 = 0.
-1, 1
Factor 1/2*z**4 + 5/2*z**3 + z**2 - 10*z - 12.
(z - 2)*(z + 2)**2*(z + 3)/2
Let v(h) be the second derivative of -h**4/102 + h**2/17 + 3*h. Factor v(n).
-2*(n - 1)*(n + 1)/17
Factor -16/5*n**4 + 0*n + 2/5*n**3 + 0 + 32/5*n**5 + 0*n**2.
2*n**3*(4*n - 1)**2/5
Let u(l) be the second derivative of 0 + 4/9*l**3 + 3*l - 4/3*l**2 - 1/18*l**4. Let u(z) = 0. Calculate z.
2
Factor 0 - 3/2*a + 1/2*a**3 + a**2.
a*(a - 1)*(a + 3)/2
Let h(x) be the first derivative of 2*x**3/51 - 5*x**2/17 - 30. Determine m, given that h(m) = 0.
0, 5
Let y be (-8)/2 - (18/(-5) - 1). Factor -6/5 - 3*l - y*l**3 - 12/5*l**2.
-3*(l + 1)**2*(l + 2)/5
Let d = -3 - -7. Suppose -s**d + 5*s**2 - 4*s**3 - 2*s + 5*s**3 + s**3 - 4*s**2 = 0. What is s?
-1, 0, 1, 2
Suppose -4*z + 56 = 5*v + 140, 0 = -3*v - 12. Let l be 1*(-2 + (-36)/z). Factor -l - 1/4*w**3 + 1/4*w + 1/4*w**2.
-(w - 1)**2*(w + 1)/4
Let w(h) = -10*h**3 + 2*h**2 + 4*h - 14. Let z(i) = 11*i**3 - i**2 - 4*i + 15. Let g(l) = -7*w(l) - 6*z(l). Let g(p) = 0. What is p?
-1, 1, 2
Let w(p) = p - 10. Let h be w(11). Let f be h/(-3) - 77/(-105). Solve -2/5*r**2 + 0*r**3 + 0*r + f*r**4 + 0 = 0 for r.
-1, 0, 1
Suppose 2 = 5*v - 8. Suppose 7/3*l**3 + 5/3*l**v + 0 + 1/3*l + l**4 = 0. What is l?
-1, -1/3, 0
Let h(l) be the third derivative of -l**5/210 - l**4/28 - 2*l**3/21 - 16*l**2. Factor h(g).
-2*(g + 1)*(g + 2)/7
Let u be (-2)/8 + 18/48. Let o(f) be the first derivative of 0*f**3 + 0*f + 0*f**2 - u*f**4 - 1 - 1/10*f**5. Let o(v) = 0. What is v?
-1, 0
Let u(o) be the second derivative of -16*o**6/135 - 4*o**5/45 + 13*o**4/18 - 17*o**3/27 + 2*o**2/9 - 3*o. Find p such that u(p) = 0.
-2, 1/4, 1
Determine x, given that -2*x**3 - 7 + 6 + 3*x + 2*x**2 - x - 1 = 0.
-1, 1
Find p such that -p + 17*p**2 - 12*p**2 - 4*p - 10 = 0.
-1, 2
Let m = -14 + 14. Let k(l) be the third derivative of 0*l**3 + 0*l**4 - 3*l**2 + m*l + 0 + 1/90*l**5. Solve k(t) = 0.
0
Let q(j) be the first derivative of -2/3*j**3 - 1 - 2*j - 2*j**2. Factor q(b).
-2*(b + 1)**2
Let v = -502/3 - -168. Suppose 4/3*y**3 - 2/3*y**5 - v*y**4 - 2/3*y - 2/3 + 4/3*y**2 = 0. Calculate y.
-1, 1
Let h(k) be the second derivative of -1/6*k**3 + 1/6*k**4 - 1/20*k**5 + 0*k**2 + 0 + k. Factor h(j).
-j*(j - 1)**2
Let h = -719/7 + 103. Factor -2/7 - h*i**2 + 4/7*i.
-2*(i - 1)**2/7
Let q(n) be the first derivative of -n**7/420 - n**6/180 + n**5/30 - n**3/3 + 2. Let t(i) be the third derivative of q(i). Factor t(b).
-2*b*(b - 1)*(b + 2)
Let p be 4*((-30)/6)/(-25). Factor p + 12/5*t - 12/5*t**3 - 4/5*t**2.
-4*(t - 1)*(t + 1)*(3*t + 1)/5
Let i(s) be the first derivative of -s**6/75 - 3*s**5/50 - s**4/10 - s**3/15 - 3*s - 5. Let y(l) be the first derivative of i(l). Factor y(k).
-2*k*(k + 1)**3/5
Let x = 4 - 7. Let l = -1 - x. Factor -p**3 - 3*p**l - 2 + 4 + 2.
-(p - 1)*(p + 2)**2
Let d(s) be the second derivative of 1/90*s**5 - 2*s - s**2 + 0 + 1/36*s**4 + 1/540*s**6 + 1/27*s**3. Let j(l) be the first derivative of d(l). Factor j(m).
2*(m + 1)**3/9
Suppose 3*f + 3/2*f**5 + 0 + 3/2*f**4 - 9/2*f**3 - 3/2*f**2 = 0. What is f?
-2, -1, 0, 1
Let o = 10 + -13. Let h(y) = -y - 1. Let r be h(o). What is k in -4*k**2 + k**4 + 0*k**r + 3*k**2 = 0?
-1, 0, 1
Factor 21*x**4 - 24*x**4 + x**3 - 3*x**2 + 5*x**3.
-3*x**2*(x - 1)**2
Let u(i) be the second derivative of 2*i**6/15 - i**4 - 4*i**3/3 - 5*i. Determine w, given that u(w) = 0.
-1, 0, 2
Let b(p) = 7*p**3 + 8*p**2 + 4*p. Let k(d) = -d. Let r(a) = -b(a) + 4*k(a). Let x(c) = -c**3. Let l(m) = r(m) - 5*x(m). Determine y so that l(y) = 0.
-2, 0
Let b = 3 + -3. Let x = b + 2. Solve j**2 - j**2 - 2*j**x = 0 for j.
0
Suppose -y = y - 98. Let l be (-21)/y*(-4)/6. What is a in 2/7*a**2 - 2/7*a**3 + l*a - 2/7 = 0?
-1, 1
Let y = 13 + -1. Suppose 3*b = -4*s + y, 0 = 3*s - 2*b + 3 - 12. What is o in 0*o**2 + 0 - 1/3*o**s + 1/3*o = 0?
-1, 0, 1
Let h(v) be the third derivative of -3*v**2 + 0*v**3 + 1/480*v**6 + 0 + 1/240*v**5 + 0*v + 0*v**4. Factor h(p).
p**2*(p + 1)/4
Solve 2/11*s**3 - 16/11 + 24/11*s - 12/11*s**2 = 0 for s.
2
Let n = 60 - 60. Let y(d) be the second derivative of -1/20*d**5 - d + 0 + 1/15*d**6 - 1/12*d**4 + n*d**3 + 0*d**2. Factor y(w).
w**2*(w - 1)*(2*w + 1)
Suppose -z = 3*z - 80. Let u be ((-264)/z)/(-6) + -1. Find g, given that -1/5 + 4/5*g**3 - u*g**2 + 4/5*g - 1/5*g**4 = 0.
1
Let c(a) = a**3 - a**2 + a + 1. Let d(x) = -12*x**3 + 18*x**2 - 18*x - 10. Let m(t) = 20*c(t) + 2*d(t). Factor m(p).
-4*p*(p - 2)**2
Let a(u) = -6*u + 62. Let i be a(10). Determine l, given that 1/2*l**4 - 6*l**3 + 27*l**i - 54*l + 81/2 = 0.
3
What is h in 10/7*h**2 + 8/7 - 18/7*h = 0?
4/5, 1
Let h(p) be the second derivative of -p + 0 + 0*p**3 - 1/12*p**4 + 0*p**2 + 1/20*p**5. Find o, given that h(o) = 0.
0, 1
Let w(l) = l**2 - 2. Let n be w(2). Suppose n*t = 2 + 4. Solve 2*m**4 + 2*m + 2*m**5 - 4*m**2 - m**3 - 3*m**3 + 0*m**t + 2 = 0 for m.
-1, 1
Let q(c) = 540*c**2 - 384*c + 36. Let z(g) = -135*g**2 + 96*g - 9. Let n(j) = 2*q(j) + 9*z(j). Factor n(f).
-3*(5*f - 3)*(9*f - 1)
Let q(m) be the first derivative of -3*m**4/20 - 13*m**3/5 - 69*m**2/10 - 33*m/5 - 11. Let q(t) = 0. What is t?
-11, -1
Let b(c) be the third derivative of c**7/1260 - c**6/1440 - c**4/4 - 3*c**2. Let q(n) be the second derivative of b(n). Factor q(i).
i*(4*i - 1)/2
Find j such that 0*j**5 + 12*j**5 + 16*j**4 - 81 - 16*j**3 + 81 = 0.
-2, 0, 2/3
Let y be (-56)/98 - (-30)/28. Let u(h) = -h**2 + 2*h + 17. Let q be u(5). Factor y + 1/2*v**3 - 1/2*v - 1/2*v**q.
(v - 1)**2*(v + 1)/2
Let o(q) be the first derivative of -q**3 + 7 - 3/8*q**4 + 3/10*q**5 + 0*q**2 + 0*q. Determine u, given that o(u) = 0.
-1, 0, 2
Let h(x) = -4*x**4 + 15*x**3 + 28*x**2 + 16*x + 7. Let t(s) = -s**4 + 5*s**3 + 9*s**2 + 5*s + 2. Let l(u) = -6*h(u) + 21*t(u). Factor l(b).
3*b*(b + 1)**2*(b + 3)
Let b be (0 - -2)*12/8. Let g(k) be the second derivative of -k + 0 + 0*k**b - 1/5*k**2 - 1/75*k**6 + 1/15*k**4 + 0*k**5. Determine r so that g(r) = 0.
-1, 1
Let h(k) = k + 6. Let n be -8 + -1 + (0 - -3). Let p be h(n). Factor 2*z - 5 - 2*z**3 + 2*z**2 + p*z + 3.
-2*(z - 1)**2*(z + 1)
Let b(t) = t**2 - 9*t + 3. Let h be b(9). Determine s so that 0 - s**2 - 1/2*s**h + 1/2*s + s**4 = 0.
-1, 0, 1/2, 1
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