- 1)**2*(c + 1)
Let h be ((-24)/14)/((-1)/7). Let p be (-9)/(-6)*h/9. Let 0*x**2 - x**5 + 2*x**2 - x**5 + 2*x**3 - p*x**4 = 0. What is x?
-1, 0, 1
Let n(s) = -s**3 + 9*s**2 + 9*s + 12. Let j be n(10). Suppose j = -2*l + 4*l. Find t, given that -1/4*t**2 + t - l = 0.
2
Let f(y) be the first derivative of y**4/4 + 5*y**3/3 + 3*y**2 - 50. Solve f(v) = 0.
-3, -2, 0
Let a(p) = p**5 + p**3 - p**2. Let v(b) = 10*b**5 - b**4 + 6*b**3 - 8*b**2 + 2*b. Let m(n) = -18*a(n) + 2*v(n). Factor m(z).
2*z*(z - 2)*(z - 1)*(z + 1)**2
Let 152*q**3 - 138*q**3 - 110*q**4 + 272*q + 548*q**3 - 40 - 634*q**2 - 50*q**5 = 0. What is q?
-5, 2/5, 1
Let a = 9 + -7. Suppose a = 2*y + g - 2, -g = -2*y + 8. Factor 5*p**2 - 6*p - 2*p**2 - y*p**3 + 6*p**3.
3*p*(p - 1)*(p + 2)
Determine f, given that -39*f + 89*f + 6 + 3*f**2 - 41*f = 0.
-2, -1
Let f(h) be the first derivative of h**6/12 + 3*h**5/10 + h**4/4 - h**3/3 - 3*h**2/4 - h/2 + 15. Factor f(s).
(s - 1)*(s + 1)**4/2
Let d(c) be the third derivative of -3/20*c**5 + 0*c - 1/80*c**6 + 0 - 3/4*c**4 + 7*c**2 - 2*c**3. Factor d(r).
-3*(r + 2)**3/2
Determine x, given that -4*x**3 - 7*x**3 - 5*x**4 + 3*x**3 + x**4 = 0.
-2, 0
Let w(y) = 1. Let f(r) = r**2 + 7*r + 14. Let n(s) = 3*f(s) - 24*w(s). Solve n(d) = 0 for d.
-6, -1
Let t(m) be the second derivative of -m**4/34 + 5*m**3/51 - 2*m**2/17 - 4*m. Factor t(p).
-2*(p - 1)*(3*p - 2)/17
Let h(d) be the third derivative of -d**6/40 - d**5/20 + d**4/8 + d**3/2 - 7*d**2. Factor h(q).
-3*(q - 1)*(q + 1)**2
Let k(f) = 20*f**2 - f + 1. Let m be k(1). Suppose 4*w - m = 3*s, -2*w + 0*w - 4*s - 12 = 0. Factor -54*o**w + 24*o - 8/3.
-2*(9*o - 2)**2/3
Let o be (((-30)/25)/(-6))/(2/5). Factor 1/2 - o*m**2 + 1/2*m**3 - 1/2*m.
(m - 1)**2*(m + 1)/2
Suppose -4*f = 4 + 20. Let u be (f/15)/(5/(-25)). Factor -1/2*x + 0 + 1/4*x**u.
x*(x - 2)/4
Let q(c) be the third derivative of 289*c**5/30 - 17*c**4/3 + 4*c**3/3 + 6*c**2. Solve q(m) = 0.
2/17
Factor 5*h + 3*h**2 - 2*h + 0*h.
3*h*(h + 1)
Factor 6/5*y**2 - 4/5*y**3 - 2/5*y**4 - 8/5 + 8/5*y.
-2*(y - 1)**2*(y + 2)**2/5
Let q = 2252/3 - 744. Let c(d) be the second derivative of -4*d**2 + 0 - q*d**3 + 2*d - 2/5*d**5 - 17/6*d**4. Let c(o) = 0. Calculate o.
-2, -1/4
Suppose 53 = 4*u + 13. Solve -5*q + q**4 + 4*q**2 - u*q**2 - 6*q**3 + 3*q - 3*q**4 = 0.
-1, 0
Suppose 0 = -5*d - 5*s + 35, 4*s - 20 = -0*s. Let m(j) be the first derivative of 0*j + j**d - 1/3*j**3 + 2. Solve m(h) = 0.
0, 2
Let h = 263/120 - 13/6. Let l(k) be the third derivative of 0*k**3 - h*k**6 + 1/210*k**7 + k**2 - 1/24*k**4 + 0*k + 1/20*k**5 + 0. Solve l(f) = 0.
0, 1
Let x = -311/3 - -105. Let n(m) be the first derivative of -1/18*m**6 - 25/9*m**3 - x*m - 4 - 19/12*m**4 - 8/3*m**2 - 7/15*m**5. Solve n(j) = 0.
-2, -1
Suppose 0*w - 5*w + l - 143 = 0, -3*l = 5*w + 131. Let u be 28/35*(-10)/w. Factor 0 - 2/7*k**3 + 0*k**2 + u*k.
-2*k*(k - 1)*(k + 1)/7
Let b(i) be the second derivative of -i**6/120 - i**5/80 + i**4/16 + 5*i**3/24 + i**2/4 + 2*i. Solve b(a) = 0 for a.
-1, 2
Let f(p) = 7*p**2 - 90*p + 112. Let o(r) = -5*r**2 + 60*r - 75. Let i(k) = -5*f(k) - 8*o(k). Factor i(u).
5*(u - 4)*(u - 2)
Let 140*y**3 - 2 + 35*y**4 - 125*y**3 - 15*y**5 - 15*y**2 - 40*y**2 + 22 = 0. Calculate y.
-1, -2/3, 1, 2
Let m(n) = 7*n**5 + 7*n**4 - 4*n**3 - n**2 + 3*n. Let c(g) = 8*g**5 + 8*g**4 - 4*g**3 + 4*g. Let f(s) = -3*c(s) + 4*m(s). Let f(a) = 0. Calculate a.
-1, 0, 1
Let b(x) be the first derivative of -5*x**4/4 + 10*x**3/3 + 15*x**2/2 + 8. Solve b(z) = 0 for z.
-1, 0, 3
Let x(o) be the first derivative of 3*o**4/20 + 3*o**3/5 + 3*o**2/5 - 3. Factor x(p).
3*p*(p + 1)*(p + 2)/5
Let w(z) be the first derivative of 4*z**6/3 - 4*z**5/5 - 4*z**4 + 8*z**3/3 + 4*z**2 - 4*z + 12. What is j in w(j) = 0?
-1, 1/2, 1
Suppose 26 - 71 = 5*p. Let t be 2 - 3/p*0. Find q such that 2/5*q**t + 0 + 0*q - 2/5*q**3 = 0.
0, 1
Let l = 17 - 12. Let -6*x + 6*x - l*x**4 - x**3 - 4*x**5 = 0. Calculate x.
-1, -1/4, 0
Let g(l) be the first derivative of 0*l**3 - 5 + 2/25*l**5 + 4/5*l**2 + 0*l - 3/10*l**4. Solve g(q) = 0.
-1, 0, 2
Let r be 1/2 - 9/(-14). Let s be ((-50)/175)/(1/7) + 5. Factor 0 + 8/7*n**2 - r*n - 2/7*n**s.
-2*n*(n - 2)**2/7
Suppose r = -3*r + 12. Suppose 2*s + 2 = -4*d + 2*d, 11 = -s - r*d. Factor 40/11*h**s - 2/11*h + 0 - 16/11*h**5 + 14/11*h**2 - 36/11*h**3.
-2*h*(h - 1)*(2*h - 1)**3/11
Suppose 20 = -5*x + 5*c, -3*c + 20 = x + 2*c. Suppose -t - 2*y = -x*y, 3 = -3*y. Find r, given that -r**4 - 3*r**2 - r**t + 5*r**2 + 0*r**2 = 0.
-1, 0, 1
Let m = 0 - -4. Suppose 1/4*p + 1/4*p**2 + 0 - 1/4*p**3 - 1/4*p**m = 0. Calculate p.
-1, 0, 1
Let 0*s**3 + 1/3*s**2 + 0*s - 1/3*s**4 + 0 = 0. Calculate s.
-1, 0, 1
Let h(v) = 2*v**2 - 12 + 14 - 3*v**2 + v**3. Suppose 6 = 2*d - 2. Let q(k) = 2*k**3 - 2*k**2 + 5. Let i(p) = d*q(p) - 10*h(p). Factor i(o).
-2*o**2*(o - 1)
Let f(n) be the second derivative of -n**4/4 + 3*n**2/2 - 2*n. Determine m so that f(m) = 0.
-1, 1
Find d, given that 8/11 - 2/11*d**2 + 0*d = 0.
-2, 2
Let z = -37 + 65/2. Let m = 5 + z. Let u**2 - 3/2*u - m + 3*u**3 - 3/2*u**5 - 1/2*u**4 = 0. Calculate u.
-1, -1/3, 1
Let w(v) be the first derivative of 3/4*v**6 - 2*v**3 + 21/10*v**5 + 0*v**2 + 0*v**4 + 1 + 0*v. Let w(d) = 0. Calculate d.
-2, -1, 0, 2/3
Let f = -18 - -18. Let g(r) be the second derivative of 1/15*r**6 - r + 0*r**3 + f + 0*r**2 + 0*r**4 + 1/10*r**5. Suppose g(s) = 0. Calculate s.
-1, 0
Factor 0*j - 4/3*j**4 + 4/3*j**2 - 4/3*j**3 + 4/3*j**5 + 0.
4*j**2*(j - 1)**2*(j + 1)/3
Let b(d) be the second derivative of 4*d**7/7 - 6*d**6/5 - 3*d**5/10 + 11*d**4/4 - 3*d**3 + 3*d**2/2 - 5*d. Factor b(f).
3*(f - 1)*(f + 1)*(2*f - 1)**3
Let n be 2 - (2 - (-4 + 6)). Let w(l) be the first derivative of 3 + 0*l**5 + 1/4*l**n + 0*l - 1/4*l**4 + 1/12*l**6 + 0*l**3. Solve w(o) = 0.
-1, 0, 1
Let m(v) = v + 1. Let b be m(1). Factor -4*f**2 + 2 + 0 + 5*f**b - 4*f + f**2.
2*(f - 1)**2
Let k(h) = 5*h**3 - h. Let m be (-2 - 2)*1/(-4). Let b be k(m). Find u, given that 0*u**4 + b*u**4 - u**3 - 2*u**4 - u**5 = 0.
0, 1
Let p(v) be the first derivative of -v**4/30 + 4*v**3/15 - 3*v**2/5 - 8. Find w, given that p(w) = 0.
0, 3
Let q be 72/40*(-1)/(-6). Let m(p) be the third derivative of 0*p**3 + 0*p - 3*p**2 - 7/60*p**6 + q*p**5 + 0 - 1/6*p**4. What is f in m(f) = 0?
0, 2/7, 1
Let z(l) be the third derivative of 0 + 0*l + l**2 - 1/54*l**3 - 1/1890*l**7 + 1/270*l**5 + 0*l**4 + 0*l**6. Suppose z(s) = 0. Calculate s.
-1, 1
Let r(k) be the first derivative of 4*k**3/3 + 15*k**2/2 - 4*k + 1. What is y in r(y) = 0?
-4, 1/4
Let h(k) be the second derivative of -k**9/6048 + k**8/1120 - k**7/560 + k**6/720 + k**3/2 + 4*k. Let c(f) be the second derivative of h(f). Factor c(s).
-s**2*(s - 1)**3/2
Let b = -24 + 28. Let w(f) be the first derivative of -2/35*f**5 + 0*f**2 + 0*f**3 + 0*f + 1/14*f**b + 1. Factor w(p).
-2*p**3*(p - 1)/7
Let w(o) be the second derivative of o**9/60480 - o**8/13440 + o**7/10080 + o**4/6 + o. Let d(p) be the third derivative of w(p). Suppose d(a) = 0. Calculate a.
0, 1
Let w(t) be the second derivative of t**7/210 + t**6/30 - 7*t**5/50 + t**4/30 + 13*t**3/30 - 7*t**2/10 + 18*t. Find l, given that w(l) = 0.
-7, -1, 1
Let j(h) = h**3 + 7*h**2 + 7*h + 1. Let l be j(-6). Let f be 0 + (15/(-12))/l. What is g in f - 5/4*g + 3/2*g**2 = 0?
1/3, 1/2
Let v be 30/(-9)*(3 - 0). Let u = 21/2 + v. Factor 1/2*k + 3/2*k**2 - 1 - 1/2*k**3 - u*k**4.
-(k - 1)**2*(k + 1)*(k + 2)/2
Let d be (-7 - (3 + -10))/(-1). Solve -4/5*w**2 + 4/5*w**4 + 0 + d*w**3 - 2/5*w**5 + 2/5*w = 0.
-1, 0, 1
Factor -3/2*x**2 - 3*x - 3/2.
-3*(x + 1)**2/2
Let n(o) = -o + 5. Let j be n(11). Let d(b) = -b - 4. Let f be d(j). Determine l so that f - 9*l**3 + 6*l + 12*l**3 - 9*l**3 - 2*l**2 = 0.
-1, -1/3, 1
Let z(d) be the first derivative of -1/28*d**4 - 2/21*d**3 + 0*d + 2 + d**2 - 1/210*d**5. Let q(g) be the second derivative of z(g). What is n in q(n) = 0?
-2, -1
Suppose -50/3 - 8*h**3 - 40*h - 92/3*h**2 - 2/3*h**4 = 0. What is h?
-5, -1
Suppose 2*j = -j + 9. Let y(d) = -d**2 - 7*d - 7. Let z(o) = o**2 + 6*o + 6. Let i(m) = j*z(m) + 2*y(m). Let i(b) = 0. What is b?
-2
Let v(j) be the third derivative of 0 - 3*j**2 - 1/120*j**5 + 1/240*j**6 + 0*j**3 + 0*j + 0*j**4. Let v(m) = 0. What is m?
0, 1
Suppose 0 = 10*p - 15*p + 10. Let s be (p/(-4))/((-6)/4). Determine i, give