2
Suppose -20/3*b**2 - 5/3*b**5 + 10*b**3 - 40/3*b + 5/3*b**4 + 0 = 0. Calculate b.
-2, -1, 0, 2
Let f(k) be the second derivative of 1/3*k**2 + 1/18*k**3 + 0 - 4*k - 1/36*k**4. Factor f(d).
-(d - 2)*(d + 1)/3
Let v(z) be the second derivative of z**4/24 + z**3/6 + z**2/4 - 11*z - 1. Solve v(f) = 0 for f.
-1
Let y be (3 - 2)/((-9)/(-3)). Factor 0*c**2 - 4/3*c**3 + c + y.
-(c - 1)*(2*c + 1)**2/3
Let r be 4/5 + 6/90*-2. Factor -2/3 + 4/3*b - r*b**2.
-2*(b - 1)**2/3
Let b = 979/6 + -2905/18. Let -b*g - 4/3*g**3 + 2/9*g**4 + 8/3*g**2 + 0 = 0. What is g?
0, 2
Let s = 65 - 62. Let u(r) be the first derivative of 0*r + 2 + 2/21*r**s - 1/7*r**2. Suppose u(y) = 0. Calculate y.
0, 1
Let a be 6/2 + 0 + 0. Factor -1/2*p**5 - 1/2*p + 2*p**4 + 2*p**2 - a*p**3 + 0.
-p*(p - 1)**4/2
Let h be (4/(-14)*49/28)/(-1). Find n such that -1/4 + n - 5/4*n**2 + h*n**3 = 0.
1/2, 1
Let j(x) be the second derivative of 0*x**2 + 10*x - 1/6*x**4 + 0 + 0*x**3. Solve j(b) = 0 for b.
0
Let b(r) = r + 19. Let f be b(-17). Let c(g) be the third derivative of 0*g + 1/21*g**3 - 1/210*g**5 + 0 + 2*g**f + 0*g**4. Factor c(n).
-2*(n - 1)*(n + 1)/7
Let i = 50781985/74754303 + 2/315419. Let p = i + -1/79. Suppose -4*c**3 - p*c**5 - 2/3*c + 0 - 8/3*c**4 - 8/3*c**2 = 0. What is c?
-1, 0
Let x = -11 + 17. Suppose 2*j**2 - 8*j**2 + 5*j**2 + 4*j**2 - x*j = 0. What is j?
0, 2
Let w(h) be the second derivative of -7*h**5/120 - 2*h**4/9 - h**3/9 + 2*h. Factor w(r).
-r*(r + 2)*(7*r + 2)/6
Let q(f) = -f - 10. Let r be q(0). Let w be (-2)/r - (-21)/45. Find i such that 0 - w*i + 8/3*i**2 = 0.
0, 1/4
Let o be 245/28 - 1/(-4). Suppose m + s = -s, 5*s = 2*m - o. Suppose -5*v**2 + 5*v**4 + 7*v**3 - m*v**3 + 4*v**3 - 7*v**5 - 2*v = 0. Calculate v.
-1, -2/7, 0, 1
Let g = 179/2 - 88. Determine x so that 0 - 3/2*x - g*x**2 = 0.
-1, 0
Let a(g) be the second derivative of 0 + 1/60*g**4 + 0*g**2 - 7*g + 0*g**3. Factor a(r).
r**2/5
Suppose 5*l = 2*j - 20, -2*l = -3*j + 24 - 16. Factor 0 + 1/7*u**3 + 2/7*u**2 + j*u - 1/7*u**4.
-u**2*(u - 2)*(u + 1)/7
Suppose 17 = q + 14. Let -14/3*w**2 + 0 - 10/3*w**q + 4/3*w + 10*w**5 + 38/3*w**4 = 0. Calculate w.
-1, 0, 1/3, 2/5
Let u = 183 + -913/5. Factor u*h**2 + 8/5*h + 8/5.
2*(h + 2)**2/5
Let m(u) = u**3 + 25*u**2 - 4*u - 98. Let q be m(-25). Factor 0 - 2/3*w + 1/3*w**q.
w*(w - 2)/3
Factor 13/3*y + 7/3*y**4 + 9*y**2 + 2/3 + 23/3*y**3.
(y + 1)**3*(7*y + 2)/3
Let a(l) be the second derivative of 0 + 1/48*l**4 - 1/168*l**7 + 1/80*l**5 - 1/120*l**6 + 0*l**3 + 2*l + 0*l**2. Let a(r) = 0. Calculate r.
-1, 0, 1
Let x(r) = 2*r**3 + r**2 - 2*r + 4. Let n be x(0). Let q(a) be the second derivative of -a**2 + 2/3*a**3 - 1/6*a**n + 0 + a. Factor q(w).
-2*(w - 1)**2
Let k be 5 - 54/(-12)*(-16)/15. Determine h so that -k*h**2 + 0 + 1/5*h**3 - 2/5*h = 0.
-1, 0, 2
Suppose 3*f - 8*g + 4*g - 26 = 0, 5*g + 17 = -4*f. Suppose -w + f*k = -0*k + 4, -28 = -3*w - 4*k. Factor 2*x**3 - 2*x + 0*x + 2*x**w - 2*x**2 + 0*x**4.
2*x*(x - 1)*(x + 1)**2
Let l(v) be the second derivative of 2*v**6/105 - 9*v**5/35 + v**4 - 38*v**3/21 + 12*v**2/7 + 2*v. Factor l(g).
4*(g - 6)*(g - 1)**3/7
Let m = -3 - -4. Suppose k - 5 = -m. Factor 4*n + 6*n**4 - 4*n + 5*n**3 + 5*n**3 + k*n**2.
2*n**2*(n + 1)*(3*n + 2)
Factor -3/4*w - 1/4*w**2 + 1.
-(w - 1)*(w + 4)/4
Let y(h) = h**2 + 55*h + 252. Let t be y(-50). What is w in -1/4*w**t + 0 - 1/4*w = 0?
-1, 0
Let h(b) be the third derivative of b**8/224 + b**7/84 - 7*b**6/240 - 3*b**5/40 + b**4/12 + b**3/3 - 41*b**2. Determine u, given that h(u) = 0.
-2, -1, -2/3, 1
Let i(t) be the second derivative of t**5/110 - t**4/66 - 2*t. Suppose i(c) = 0. What is c?
0, 1
Suppose 30 + 20 = 5*j. Suppose 7*d = j*d. Factor d - 1/5*v**2 - 2/5*v.
-v*(v + 2)/5
Let b(o) be the first derivative of -1/2*o**4 + o**3 - o**2 + 1/10*o**5 + 3 + 1/2*o. Factor b(d).
(d - 1)**4/2
Let u = 1/220 - -8/55. Let i(m) be the third derivative of -u*m**5 - 2*m**2 - 1/40*m**6 + 0*m + 0 - 1/2*m**3 - 3/8*m**4. Solve i(j) = 0 for j.
-1
Find z, given that 8/11*z + 0 + 0*z**2 - 2/11*z**4 - 6/11*z**3 = 0.
-2, 0, 1
Let v(i) be the first derivative of -2*i**5/75 + i**4/30 + 2*i**3/45 - i**2/15 + 29. Solve v(f) = 0.
-1, 0, 1
Suppose 3*n = -0*n + 9. Let 3*k + 1 + k**2 - 4 + 2*k**2 - 4*k**3 + k**n = 0. Calculate k.
-1, 1
Let f = -185 + 187. Suppose -3/2*n**f - 3*n - 3/2 = 0. What is n?
-1
Suppose 7*p = 15 - 1. Let q be (-1)/(-3) + 2/(-24). Factor -q*f + 0 + 0*f**p + 1/4*f**3.
f*(f - 1)*(f + 1)/4
Solve 8/7 + 10/7*k + 2/7*k**2 = 0.
-4, -1
Suppose -3*f + 4*f = -4*i - 5, 2*f - 3*i - 23 = 0. Let o = 8 - f. Solve -1/2*a - 1/2*a**2 + o = 0 for a.
-2, 1
Let i(n) be the second derivative of n**6/15 + n**5/6 + n**4/12 + 3*n**2/2 - n. Let d(f) be the first derivative of i(f). Let d(c) = 0. Calculate c.
-1, -1/4, 0
Let b = 5 + -3. Let s(f) = -f**2 - 18*f + 1. Let h be s(-18). Solve -3 + b*n**2 - n - h - n = 0 for n.
-1, 2
Let v(c) = c. Let j(l) = -12*l**2 + 33*l + 24. Let z(w) = -j(w) + 5*v(w). Solve z(h) = 0 for h.
-2/3, 3
Let h = -39/2 - -703/36. Let q(x) be the second derivative of -h*x**4 + 0*x**3 + x + 0 - 1/90*x**6 + 0*x**2 + 1/30*x**5. Let q(t) = 0. Calculate t.
0, 1
Let n(r) = 2*r**2 + 26*r + 24. Let d be n(-12). Factor 2/3*w**5 + 0*w + 10/9*w**4 + 0*w**2 + d + 4/9*w**3.
2*w**3*(w + 1)*(3*w + 2)/9
Let v(g) be the third derivative of 5*g**8/336 - 17*g**7/210 + 7*g**6/40 - 11*g**5/60 + g**4/12 - 10*g**2. Factor v(d).
d*(d - 1)**3*(5*d - 2)
Let q(d) be the third derivative of -d**6/120 - d**5/30 - d**4/24 + 7*d**2. Determine m so that q(m) = 0.
-1, 0
Let u(w) be the third derivative of -w**6/1800 + w**5/600 - w**3/2 + 2*w**2. Let g(i) be the first derivative of u(i). Let g(k) = 0. What is k?
0, 1
Let c be (3/10)/((-48)/440). Let k = -25/12 - c. Factor 0*w - 1/3*w**2 + 0 - 1/3*w**4 + k*w**3.
-w**2*(w - 1)**2/3
Let d(f) be the first derivative of -f**3 + 9*f**2 - 27*f - 5. Factor d(p).
-3*(p - 3)**2
Let m(g) be the first derivative of 3*g**4/32 + 3*g**3/8 + 3*g**2/8 - 23. Find u such that m(u) = 0.
-2, -1, 0
Let t(o) be the third derivative of o**6/120 + 11*o**5/60 + o**4/24 + 7*o**3/3 - 2*o**2. Let j be t(-11). What is r in 8/5*r - 2/5 - 8/5*r**j + 2/5*r**2 = 0?
-1, 1/4, 1
Let p(q) be the first derivative of -q**3/7 + 7. Factor p(a).
-3*a**2/7
Suppose -4*q + 0 = -4. Let p be (-10)/14 + 1/q. Suppose 0 - p*r**2 + 2/7*r = 0. Calculate r.
0, 1
Let t(z) = -5*z**2 - 8*z + 21. Let i(w) = w**2 + 2*w + 1. Let s(k) = -6*i(k) - 2*t(k). Determine o, given that s(o) = 0.
-4, 3
Let c(y) be the third derivative of y**6/48 + 5*y**5/24 + 5*y**4/6 + 5*y**3/3 + 10*y**2. Factor c(p).
5*(p + 1)*(p + 2)**2/2
Suppose q = 2*j - 5*j - 13, 0 = -5*q + 3*j + 25. Factor 3/5*g**3 + 0*g**q - 3/5*g + 0.
3*g*(g - 1)*(g + 1)/5
Let d(x) be the third derivative of 0 + 1/12*x**4 - 1/60*x**5 - 1/6*x**3 + 0*x - 3*x**2. Factor d(t).
-(t - 1)**2
Factor g**3 + 17*g**4 - 3*g**3 - 18*g**4.
-g**3*(g + 2)
Let n be 9/(18/4) - (-12)/(-6). Factor u + n - 1/3*u**2.
-u*(u - 3)/3
Let i(g) = 26*g**2 - 11*g. Let f(c) = 5*c**2 - 2*c. Let s(x) = -11*f(x) + 2*i(x). Determine b so that s(b) = 0.
0
Suppose -r = 3*r - 16. Let v be r/6*18/42. Factor 0*s + 2/7 - v*s**2.
-2*(s - 1)*(s + 1)/7
Let l be (-4 + 4 - (-10)/(-3)) + 4. Let a(d) be the first derivative of 18*d + 2 - 6*d**2 + l*d**3. Factor a(m).
2*(m - 3)**2
Suppose -5*x + i = 0, -4 = 2*x + i + 3. Let h(c) = 0*c + c - 5 + 6. Let m(p) = -p**5 + p**4 - 6*p - 6. Let b(l) = x*m(l) - 6*h(l). Determine o so that b(o) = 0.
0, 1
Let f = 167/380 + -3/76. Determine b so that 2/5*b**5 + 0 + 0*b - 2/5*b**3 - 2/5*b**2 + f*b**4 = 0.
-1, 0, 1
Let r(a) be the third derivative of -a**2 + 1/3*a**4 + 0*a - 1/5*a**5 + 0 + 0*a**3 + 1/30*a**6. Factor r(x).
4*x*(x - 2)*(x - 1)
Let v(z) be the first derivative of 4/3*z + 4/9*z**3 - 5/3*z**2 + 1. Factor v(w).
2*(w - 2)*(2*w - 1)/3
Suppose -59 = -5*h + 61. Let t be h/9 - 1/(-3). Solve -2*z**3 + 7*z + 2*z**2 - 3*z + 0*z**t = 0.
-1, 0, 2
Let g(p) be the first derivative of -4*p**3/3 + 2*p**2 + 8*p - 1. Suppose g(o) = 0. What is o?
-1, 2
Let -3/5*l**3 + 9/5*l + 6/5 + 0*l**2 = 0. Calculate l.
-1, 2
Let u(y) be the second derivative of -y**7/11340 - y**6/1620 - 5*y**4/12 + y. Let k(h) be the third derivative of u(h). Factor k(v).
-2*v*(v + 2)/9
Let q(k) be the second derivative of 4*k + 0 - 1/6*k**3 + 0*k**2 -