c + 0 = -s - 15, -c + 2*s + 2 = 0. Find p, given that -2/5*p**c + 0*p**3 + 0 + 6/5*p**2 - 4/5*p = 0.
-2, 0, 1
Suppose -3*f + 4*o = -0*o, -4*o + 16 = f. Let 0*u**4 - 2*u**3 - 7*u**f + 4*u**2 + 3*u**4 + 2*u = 0. What is u?
-1, -1/2, 0, 1
Suppose 0 - 3/8*i**4 - 3/8*i**2 + 0*i + 3/4*i**3 = 0. What is i?
0, 1
Let a(v) = -v**3 + v**2 + v. Let d(k) = -6*k**3 + 8*k**2 + 6*k. Let l(r) = 8*a(r) - d(r). Factor l(c).
-2*c*(c - 1)*(c + 1)
Let a(k) be the first derivative of 8*k**3/3 - 10*k**2 - 12*k - 8. Suppose a(w) = 0. What is w?
-1/2, 3
Suppose -2*n - 8 = 4*j, -2*n - j = n + 2. Let t be 3*(n + 4/54). What is r in 2/9*r + 0 + t*r**3 - 4/9*r**2 = 0?
0, 1
Let l(c) be the first derivative of 0*c + 1/3*c**3 + 3 - c**2. Solve l(x) = 0.
0, 2
Let n(p) be the second derivative of -p**5/50 - p**4/6 - 8*p**3/15 - 4*p**2/5 + 2*p. Factor n(a).
-2*(a + 1)*(a + 2)**2/5
Let v(l) be the second derivative of 0*l**2 - 5*l + 1/42*l**4 + 1/21*l**3 - 1/70*l**5 + 0 - 1/105*l**6. Factor v(s).
-2*s*(s - 1)*(s + 1)**2/7
Let i(n) be the second derivative of -5*n**7/42 + n**6/2 - n**5/4 - 5*n**4/4 + 5*n**3/3 - 42*n. Let i(a) = 0. What is a?
-1, 0, 1, 2
Let b = 8/1319 + 598/336345. Let f = b + 1006/1785. Factor -2/7*a**3 - 10/7*a - f - 8/7*a**2.
-2*(a + 1)**2*(a + 2)/7
Let x(f) be the second derivative of 1/30*f**4 - 1/15*f**3 - 4*f + 0*f**2 + 0. Factor x(d).
2*d*(d - 1)/5
Let 15*t - 10 + 5*t**2 - 22*t + 12*t = 0. What is t?
-2, 1
Let i(g) = 3*g**2 + 4 - 10*g**2 - 2*g + 6 - 1. Let l(f) = -f**2 + 1. Let q(b) = 3*i(b) - 24*l(b). Solve q(y) = 0.
1
Let g(t) be the first derivative of 2 + 1/3*t**3 + 0*t**5 + 0*t**2 + 1/1080*t**6 + 0*t + 0*t**4. Let k(w) be the third derivative of g(w). Factor k(j).
j**2/3
Let r(l) = l**2 - 12*l + 3. Let t(m) = m + 7. Let k be t(5). Let f be r(k). Find v, given that -3 + 4*v**4 - 2*v**4 + 2*v**3 + f = 0.
-1, 0
Let i(k) be the third derivative of 5*k**7/21 - k**6/3 - 16*k**5/5 + 20*k**4/3 - 16*k**3/3 - 3*k**2. Factor i(d).
2*(d - 2)*(d + 2)*(5*d - 2)**2
Suppose 0*n = 4*n - 28. Suppose -2*v**5 + 0*v**2 - 15*v**4 - v**2 + 11*v**5 + n*v**3 = 0. What is v?
0, 1/3, 1
Let t be (1/3)/(2/6). What is n in 2*n - t + 2 + 2*n + n + 4*n**2 = 0?
-1, -1/4
Let g be (-132)/(-24) + -2 + -2. Let f(s) be the second derivative of 0 + s - 3/4*s**3 + g*s**2 + 1/8*s**4. Find q such that f(q) = 0.
1, 2
Suppose -2*y + 3*y - 27 = -5*i, 3*y + 4 = 2*i. Factor 8/3*c**y + 2/3*c**3 + 10/3*c + 4/3.
2*(c + 1)**2*(c + 2)/3
Let y(n) be the second derivative of n**8/1512 - n**6/270 + n**4/108 - n**2 + 4*n. Let w(c) be the first derivative of y(c). Factor w(t).
2*t*(t - 1)**2*(t + 1)**2/9
Suppose -1/4*a**2 - 1 - 5/4*a = 0. What is a?
-4, -1
What is c in -3/5*c + 3/5*c**2 - 3/5 + 3/5*c**3 = 0?
-1, 1
Factor 0 + 3/5*g**3 - 9/5*g**2 + 6/5*g.
3*g*(g - 2)*(g - 1)/5
Let w(i) = -15*i**3 - 15*i**2 + 13*i. Let u(t) = 4*t + 2*t - 2*t**2 - 5*t**2 - 7*t**3. Let l(z) = 13*u(z) - 6*w(z). Find c, given that l(c) = 0.
-1, 0
Let h = -4 + 8. Suppose 0 = -0*n - h*n + 12. Factor 3*m**n - 3*m**3 - m**3.
-m**3
Let w(t) be the third derivative of -t**9/37800 - t**8/8400 - t**7/6300 + 5*t**4/12 + 7*t**2. Let o(z) be the second derivative of w(z). Factor o(d).
-2*d**2*(d + 1)**2/5
Let p = 427/80 - -1/16. What is d in 3/5*d**4 + p*d**2 - 21/5*d + 6/5 - 3*d**3 = 0?
1, 2
Let f(l) = 6*l**2 - 41*l + 18. Let p(y) = 6 - 2*y**2 + 0*y**2 - 14*y + 6*y**2 - 2*y**2. Let a(q) = 6*f(q) - 17*p(q). Let a(i) = 0. What is i?
1, 3
Let k(j) be the third derivative of j**7/11340 + j**6/1080 - j**4/8 + 2*j**2. Let d(m) be the second derivative of k(m). Suppose d(z) = 0. What is z?
-3, 0
Let n(c) = -2*c**2 - 13*c - 1. Let u be n(-6). Let 2*k**u - 4/3 - 4*k**2 + 16/3*k**4 + 8/3*k**3 - 14/3*k = 0. Calculate k.
-1, -2/3, 1
Suppose 0 = -4*j + 18 + 2. Let c be 32/30 - 2/j. Find v, given that -5/3*v**3 - 1/3*v + 8/3*v**2 - c = 0.
-2/5, 1
Suppose -u = 3*u. Suppose u*k = -3*k. Find m such that k*m + 0 + 2/7*m**2 = 0.
0
Factor -3 - 12 + 32*t + 11 - 28*t**2.
-4*(t - 1)*(7*t - 1)
Factor -2/11*t**2 + 4/11 - 2/11*t.
-2*(t - 1)*(t + 2)/11
Let j = -56 + 29. Let l = -27 - j. Let 0 + l*a + 3/2*a**3 - a**2 = 0. Calculate a.
0, 2/3
Let u(l) be the third derivative of l**8/336 - l**7/70 + l**6/120 + l**5/20 - l**4/12 + 20*l**2. Factor u(q).
q*(q - 2)*(q - 1)**2*(q + 1)
Let a(j) = 40*j**2 + 102*j + 32. Let k(f) = -16*f**2 - 41*f - 13. Let r(t) = 5*a(t) + 12*k(t). Determine z so that r(z) = 0.
-2, -1/4
Let g(n) be the first derivative of 2*n**5/5 - 2*n**3/3 - 9. Factor g(w).
2*w**2*(w - 1)*(w + 1)
Suppose -g - 5*d - 7 - 4 = 0, 2*g = -d + 5. Solve w**3 + w**g + w**4 + w**4 - 2*w**4 = 0.
-1, 0
Let s(w) be the first derivative of 8*w**2 - 5/2*w**4 + 1/3*w**6 - 7 - 2/5*w**5 + 8*w + 2/3*w**3. What is k in s(k) = 0?
-1, 2
Let g = -705/154 + 48/11. Let h = 1/2 + g. Determine o so that 4/7*o - 2/7 - h*o**2 = 0.
1
Let a = 5/52 - -79/260. Find y, given that -3/5*y - y**2 + a = 0.
-1, 2/5
Suppose -5*a + 53 = -c, -3*c + 69 = 4*a + 19. Suppose -5*o + 4 = -a. Find p, given that 3/2*p**4 - 3/2*p**2 - 3/2*p + 0 + 3/2*p**o = 0.
-1, 0, 1
Let m(p) be the third derivative of -2*p**7/735 - 4*p**6/105 - 22*p**5/105 - 4*p**4/7 - 6*p**3/7 - 7*p**2. Solve m(f) = 0.
-3, -1
Let c(p) be the first derivative of 0*p - 1/2*p**2 + 1/2*p**3 + p**4 + 3/10*p**5 + 4. Factor c(t).
t*(t + 1)*(t + 2)*(3*t - 1)/2
Let d = 72 - 68. Let u(o) be the third derivative of 0*o**d + 0*o + 0 - 1/18*o**3 + 1/180*o**5 - 3*o**2. Find y such that u(y) = 0.
-1, 1
Let d be -28*10/(-45) - 6. Factor -2/9*q**2 + d + 0*q.
-2*(q - 1)*(q + 1)/9
Let l(g) be the third derivative of -g**6/360 + g**5/40 - g**4/12 + g**3/2 - 3*g**2. Let c(v) be the first derivative of l(v). Factor c(y).
-(y - 2)*(y - 1)
Let l(k) be the third derivative of 2*k**2 + 4/21*k**4 + 0 + 1/35*k**6 + 0*k**3 + 0*k - 2/735*k**7 - 4/35*k**5. Suppose l(j) = 0. What is j?
0, 2
Let o(l) be the first derivative of 5*l**3 - 5*l**2 - 19. What is f in o(f) = 0?
0, 2/3
Let f = 696/1765 + 2/353. Let 2/5*j**2 - 4/5 - f*j = 0. What is j?
-1, 2
Let m be (-6)/(-18) - 14/(-21). Factor -9*w**2 + m + 9/2*w.
-(3*w - 2)*(6*w + 1)/2
Let z(l) be the second derivative of 0*l**4 + 0*l**2 + 1/30*l**3 + 0 - 1/100*l**5 + 3*l. Determine f, given that z(f) = 0.
-1, 0, 1
Let f(c) be the second derivative of c**6/60 - c**4/8 + c**3/6 - 25*c. Factor f(p).
p*(p - 1)**2*(p + 2)/2
Let z(w) be the second derivative of -3/8*w**4 + 1/2*w**3 - 2*w - 1/4*w**2 + 0. What is l in z(l) = 0?
1/3
Determine s, given that -48/5*s**2 - 27/5*s - 42/5*s**3 - 3/5*s**5 - 18/5*s**4 - 6/5 = 0.
-2, -1
Suppose 0 = -3*g + 3. Let o be (g - (-1 - 0)) + 0. Factor 12*j**3 + 3*j**5 - 3 + 30*j**o + 15*j + 18*j**3 + 15*j**4 + 6.
3*(j + 1)**5
Let u(c) be the second derivative of -c**6/120 + c**5/80 + 5*c**4/48 + c**3/8 + 10*c. Factor u(x).
-x*(x - 3)*(x + 1)**2/4
Let p(y) be the third derivative of 0 - 4*y**2 + 1/12*y**3 - 1/120*y**5 + 1/240*y**6 + 0*y - 1/48*y**4. Factor p(w).
(w - 1)**2*(w + 1)/2
Let n(i) be the third derivative of i**7/12600 - i**6/3600 + i**4/24 + 2*i**2. Let b(s) be the second derivative of n(s). Factor b(f).
f*(f - 1)/5
Let i(z) = -2*z. Let v(m) = 4*m**2 + 22*m + 2. Let j(l) = l**2 + l. Let f(r) = -5*j(r) + v(r). Let s(x) = -2*f(x) - 18*i(x). Find t, given that s(t) = 0.
-2, 1
Let y(q) be the second derivative of -q**8/23520 + q**6/840 - q**5/210 + q**4/12 - 3*q. Let p(v) be the third derivative of y(v). Factor p(o).
-2*(o - 1)**2*(o + 2)/7
Factor -20/7*u**2 - 16/7 - 4/7*u**3 - 32/7*u.
-4*(u + 1)*(u + 2)**2/7
Let s(i) = 3*i**2 - 18*i + 15. Let g(z) = z - 1. Suppose 0 = m - 3*m + 2. Let h(u) = m*s(u) + 18*g(u). Solve h(t) = 0.
-1, 1
Let v(g) = 9*g**2 - 16. Let t(b) = 3*b**2 - 5. Let n be 7 + -7 - (6 + 1). Let q(p) = n*t(p) + 2*v(p). Suppose q(h) = 0. What is h?
-1, 1
Let p(s) be the second derivative of -1/90*s**5 + 3*s + 1/27*s**3 - 1/54*s**4 + 0 + 0*s**2 + 1/135*s**6. Factor p(w).
2*w*(w - 1)**2*(w + 1)/9
Let a(h) = -27*h**4 + 67*h**3 - 22*h**2 - 22*h - 4. Let i(s) = -55*s**4 + 135*s**3 - 45*s**2 - 45*s - 10. Let y(m) = -5*a(m) + 2*i(m). Solve y(b) = 0 for b.
-2/5, 0, 1, 2
Let l(j) be the first derivative of -j**5/180 + j**4/72 - 3*j**2/2 - 2. Let o(r) be the second derivative of l(r). Determine t, given that o(t) = 0.
0, 1
Let c(a) = a - 1. Let v be c(5). Factor -1 + 1 + v*z**4 - 2*z**3 -