 + 5*x**4/24 + 5*x**3/6 + 7*x**2 - 13*x. Determine q so that i(q) = 0.
-1, 1
Suppose 4*m = -2*s, 11 = 5*s - s - 3*m. Suppose 3*t - t**s - 2*t - 2*t + 4*t**2 = 0. Calculate t.
0, 1/3
Let t(w) = 2*w**2 - w + 15. Let u be t(-4). Let o = u - 49. Factor -18/5*y**5 + 0 - 4/5*y**4 + 0*y**3 + 0*y + 0*y**o.
-2*y**4*(9*y + 2)/5
Let f = 1000 - 997. Let k(j) be the first derivative of -6 - 2/13*j**2 + 2/39*j**f + 2/13*j. Factor k(g).
2*(g - 1)**2/13
Let r be ((-17 + 17)/17)/(-9). Suppose r*i + 2/3*i**2 - i**3 + 0 + 0*i**4 + 1/3*i**5 = 0. What is i?
-2, 0, 1
Let l(p) be the third derivative of 1/160*p**6 + 29*p**2 + 0*p + 1/80*p**5 - 1/2*p**3 + 0 - 1/8*p**4. Factor l(k).
3*(k - 2)*(k + 1)*(k + 2)/4
Let m(q) be the second derivative of 0*q**3 + 1/78*q**4 + 0 + 0*q**2 - 14*q. Factor m(y).
2*y**2/13
Let l(z) = 9*z**2 + 9*z + 12. Let d(f) = -f**2 - f - 3. Let c(b) = -6*d(b) - l(b). Find i such that c(i) = 0.
-2, 1
Let x(l) be the second derivative of 0*l**2 + 1/18*l**4 + 0 + 14*l + 1/3*l**3. Solve x(k) = 0.
-3, 0
Let m(t) be the third derivative of -2*t**7/315 - 17*t**6/90 + 3*t**5/5 + 189*t**4/2 + 1620*t**3 - 74*t**2 + 1. What is q in m(q) = 0?
-9, 10
Let n(m) be the third derivative of -1/330*m**6 - 1/33*m**3 + 2/165*m**5 + 10*m**2 + 0*m + 1/66*m**4 + 0 - 1/385*m**7. Solve n(p) = 0.
-1, 1/3, 1
Let f be 2/3*3/14. Determine x, given that f*x**2 + 0 + 4/7*x = 0.
-4, 0
Let x(q) = 2*q - 8. Let l be x(5). Let h(k) be the first derivative of 3*k**l + 3 - k**3 - k - 4*k + 2*k. Factor h(f).
-3*(f - 1)**2
Find p such that 25/2*p + 10 + 5/2*p**2 = 0.
-4, -1
Let q(c) be the first derivative of -2*c**3/9 + 4*c**2 + 56*c/3 - 657. Let q(b) = 0. What is b?
-2, 14
Let p(b) be the third derivative of b**8/5600 + b**7/12600 + 5*b**4/6 - 38*b**2. Let t(a) be the second derivative of p(a). Factor t(z).
z**2*(6*z + 1)/5
What is j in 0*j + 3 - 9/4*j**2 + 3/4*j**3 = 0?
-1, 2
Let n(y) be the second derivative of y**6/15 - y**5/2 - y**4 + 212*y. Find c, given that n(c) = 0.
-1, 0, 6
Let j(t) be the third derivative of 0*t + 0*t**3 - 1/30*t**6 + 0 - 25*t**2 - 1/6*t**4 + 2/15*t**5. Solve j(f) = 0 for f.
0, 1
Let u(l) = -l**3 + 8*l**2 - 2*l + 16. Let r = 31 - 23. Let t be u(r). Determine f, given that -4/3*f + 2/3*f**2 + t = 0.
0, 2
Let b(k) be the first derivative of k**6/450 + k**5/75 + k**4/30 + 16*k**3/3 - 14. Let j(z) be the third derivative of b(z). Find r such that j(r) = 0.
-1
Solve -54*i**2 + 814/7*i - 2/7*i**4 - 484/7 + 50/7*i**3 = 0 for i.
1, 2, 11
Let h(o) be the first derivative of o**5 + 15*o**4/4 - 10*o**2 + 69. Suppose h(q) = 0. Calculate q.
-2, 0, 1
Let w(r) be the first derivative of 5*r**3/3 + 175*r**2/2 - 370*r + 77. What is v in w(v) = 0?
-37, 2
Suppose 0 = -737*h + 729*h + 16. What is d in -3*d - 3/2*d**4 + 0*d**3 + 0 + 9/2*d**h = 0?
-2, 0, 1
Let k be 2/12*(-16 + 32). Solve 8/3 - 2*l**2 + 2/3*l**4 + k*l - 4/3*l**3 = 0 for l.
-1, 2
Let f = -27 + 32. Let z(c) be the first derivative of -2 + 2/5*c**f + 0*c - 1/2*c**4 + c**2 - 2/3*c**3. Let z(m) = 0. What is m?
-1, 0, 1
Let q = -13640 + 81841/6. Factor -1/3 + 1/6*d + q*d**2.
(d - 1)*(d + 2)/6
Let a(r) = 3*r**2 + 69*r + 2. Let o be a(-23). Solve 1/3*u**5 + 4/3*u - 4/3 + 5/3*u**o - 1/3*u**4 - 5/3*u**3 = 0.
-2, -1, 1, 2
Let y(i) = -i**3 - 11*i**2 - 13*i - 11. Let f be y(-9). Let s be (-6)/f*6 + (-19)/(-38). Factor 0*x + 6/7*x**3 + s - 2*x**2.
2*(x - 2)*(x - 1)*(3*x + 2)/7
Let h(u) be the first derivative of -u**6/90 + u**5/10 + 3*u**3 + 1. Let m(x) be the third derivative of h(x). Suppose m(k) = 0. Calculate k.
0, 3
Let x(y) = y - 2. Let t be x(-5). Let r be 9/(-6) - t*(-1)/(-4). Let -1 + 7/4*q**3 + 5/4*q**4 + 1/4*q**5 - 2*q - r*q**2 = 0. Calculate q.
-2, -1, 1
Let r(t) = 6 - t + 1 + 2. Let h be r(5). Factor 0*p**3 + 0*p**h + 5*p**2 - 3*p**3 - 4*p**4 - 4*p**2.
-p**2*(p + 1)*(4*p - 1)
Let q(z) = -10*z**2 + 45*z + 51. Let x(p) = 1. Let i(n) = -q(n) - 4*x(n). Let w(l) = -5*l + 0 - 5 + 7*l - 6*l + l**2. Let s(a) = -4*i(a) + 45*w(a). Factor s(d).
5*(d - 1)*(d + 1)
Let y(t) be the first derivative of -t**5/12 - 5*t**4/8 + 25*t**3/3 + 3*t**2/2 + 5*t + 32. Let n(w) be the second derivative of y(w). What is a in n(a) = 0?
-5, 2
Let i(c) = -29*c**2 + 491*c + 6. Let p(u) = 410*u**2 - 6875*u - 85. Let m(z) = 85*i(z) + 6*p(z). Determine g so that m(g) = 0.
0, 97
Let u = -26107/9 + 2901. Suppose u*s**5 + 8/9*s**3 + 0 - 8/9*s**4 + 0*s**2 + 0*s = 0. Calculate s.
0, 2
Solve -2/9*k**2 - 280/9*k - 9800/9 = 0.
-70
Let m(g) be the third derivative of g**6/600 - 7*g**5/200 + 19*g**3/6 - 41*g**2. Let z(c) be the first derivative of m(c). Factor z(u).
3*u*(u - 7)/5
Let h(v) be the second derivative of v**7/840 + v**6/180 + v**5/120 + 5*v**3/3 + 16*v. Let p(a) be the second derivative of h(a). Factor p(f).
f*(f + 1)**2
Let u(f) be the first derivative of -169*f**3/30 + 91*f**2/10 - 49*f/10 - 153. Suppose u(r) = 0. What is r?
7/13
Factor -166*g**3 - 5 + 171*g**3 + 18*g - 15*g**2 - 3*g.
5*(g - 1)**3
Let y = -283 + 285. Let u(v) be the second derivative of -1/30*v**5 + 0*v**4 + 0 + 6*v + 0*v**y + 1/9*v**3. Determine f so that u(f) = 0.
-1, 0, 1
Let t = -37 + 41. Factor 9*u**2 - 3*u - 9*u**t + 13*u**4 - u**4 - 9*u**3.
3*u*(u - 1)**3
Factor -3*j**3 - 2152*j + 2152*j - 39*j**2.
-3*j**2*(j + 13)
What is b in 13*b - 353 + 313 - 2*b**2 + 11*b = 0?
2, 10
Suppose f - 8 = -1. Let s be ((-27)/3)/(3/(-1)). Factor -10*d**s + 3*d**2 - d**4 - f*d**2 - 2*d**5 - 7*d**4.
-2*d**2*(d + 1)**2*(d + 2)
Factor -1/3*h**3 + 1/6*h**4 + 0 + 1/6*h**2 + 0*h.
h**2*(h - 1)**2/6
Let g be (7*(-6)/(-252))/3. Let v(w) be the second derivative of 0 + 1/18*w**4 - 2*w + g*w**3 + 1/126*w**7 - 1/90*w**6 - 1/6*w**2 - 1/30*w**5. Factor v(n).
(n - 1)**3*(n + 1)**2/3
Let s be ((-264)/140)/(-3)*(-140)/(-60). Factor s*w + 4/15 - 26/15*w**2.
-2*(w - 1)*(13*w + 2)/15
Let b(o) be the second derivative of -o**7/9 - 2*o**6/3 + 23*o**5/10 + 116*o**4/9 + 20*o**3/3 + o + 473. Solve b(h) = 0.
-5, -2, -2/7, 0, 3
Let f(b) be the first derivative of b**4/14 + 30*b**3/7 + 128*b**2/7 + 24*b - 304. Determine t so that f(t) = 0.
-42, -2, -1
Let c = 2930 - 2930. Suppose 2/3*w**5 - 4/3*w + 2/3*w**3 - 2*w**2 + c + 2*w**4 = 0. Calculate w.
-2, -1, 0, 1
Let b(k) = k**5 + k**2 + k. Let p(r) = 7*r**5 + 29*r**4 + 44*r**3 + 21*r**2 + r. Let o(x) = b(x) - p(x). Determine a so that o(a) = 0.
-2, -5/6, 0
Let m(n) be the second derivative of -n**6/45 - n**5/30 + n**4/6 + n**3/9 - 2*n**2/3 + n - 3. Suppose m(v) = 0. What is v?
-2, -1, 1
Let f(j) be the second derivative of 17*j**4/16 + j**3/4 + 2*j - 146. Factor f(l).
3*l*(17*l + 2)/4
Determine s so that -2/3 + 7/3*s**4 - 5/3*s**3 - 5/3*s**2 - 2/3*s**5 + 7/3*s = 0.
-1, 1/2, 1, 2
Let y(k) be the first derivative of -2*k**3/3 - 18*k**2 - 34*k - 110. Factor y(r).
-2*(r + 1)*(r + 17)
Suppose 44 - 54 = -2*l. Solve 0 - 3/5*z**3 - 2/5*z - z**2 + 1/5*z**4 + 1/5*z**l = 0.
-1, 0, 2
Let s(i) be the first derivative of 2*i**5/5 + 4*i**4 - 6*i**3 + 21. Solve s(y) = 0.
-9, 0, 1
Let u be 2/(-10) - 3/(-30)*12. Let q be (7 + -10 + 3)/(u - -1). Factor -1/2*k + q + 1/2*k**2.
k*(k - 1)/2
Let d be (-1980)/264*(6/(-5) - -1). Factor -d*p**3 - 3*p**2 + 0 + 9/2*p.
-3*p*(p - 1)*(p + 3)/2
Let w(m) = 6*m - 25. Let c be w(5). Let f(u) = 3*u**3 + 8*u**2 + u - 36. Let b(n) = -2*n**3 - 4*n**2 + 18. Let i(k) = c*b(k) + 3*f(k). Factor i(d).
-(d - 3)**2*(d + 2)
Let r(p) be the third derivative of -p**6/180 + p**5/2 - 75*p**4/4 + 375*p**3 - 12*p**2 + p. Factor r(x).
-2*(x - 15)**3/3
Suppose 3*b + 15 = 3*c, -2*c = -20*b + 17*b - 15. What is p in -3/5*p**4 + 0 + 0*p**3 + c*p + 3/5*p**2 = 0?
-1, 0, 1
Let h(m) be the third derivative of 5*m**8/448 + 17*m**7/280 - 21*m**6/40 - m**5/5 + 4*m**4 + 6*m**3 - 4*m**2 - 4*m. Determine v, given that h(v) = 0.
-6, -1, -2/5, 2
Let l be 15/4*100/125. Let q(w) be the second derivative of w**l + 6*w**2 + 0 + 1/16*w**4 + 3*w. Determine k so that q(k) = 0.
-4
Let b = -672 - -672. Let v(l) be the second derivative of b - 1/27*l**4 - 1/27*l**3 + 1/45*l**5 + l - 1/189*l**7 + 1/9*l**2 + 1/135*l**6. Factor v(s).
-2*(s - 1)**3*(s + 1)**2/9
Let s be ((-6)/(-4))/(3 - 34/(-12)). Let b = s + 1/7. Factor 0 + 2/5*i + b*i**2.
2*i*(i + 1)/5
Let r(g) be the second derivative of -2*g**7/7 + 12*g**6/5 - 51*g**5/20 - 17*g**4/4 + 9*g**3/2 + 15*g**2/2 + 60*g + 1. Find y, given that r(y) = 0.
-1