- 17*t**4/3 - 31*t**3/3 + 5*t**2 + 24*t + 2. Suppose j(q) = 0. What is q?
-1, 1/7, 1, 5
Let x(p) be the second derivative of 5*p**4/36 + 515*p**3/18 + 85*p**2 + 4*p - 40. Find s, given that x(s) = 0.
-102, -1
Let d(g) be the third derivative of g**5/40 + 3*g**4/2 - 25*g**3/4 - 163*g**2. Let d(c) = 0. What is c?
-25, 1
Let t(j) be the third derivative of j**8/504 + j**7/525 - j**6/450 - 57*j**2. Factor t(k).
2*k**3*(k + 1)*(5*k - 2)/15
Let s(v) be the third derivative of v**5/10 - 13*v**4/8 + 95*v**2. Find r, given that s(r) = 0.
0, 13/2
Let o(b) be the first derivative of 0*b - 51 - 3/4*b**4 - 2/3*b**3 + b**5 + 0*b**2. Factor o(p).
p**2*(p - 1)*(5*p + 2)
Let g be 68/6 + -8 + (-2)/(-1). Factor -2/3*j**2 - g*j + 6.
-2*(j - 1)*(j + 9)/3
Factor 2304 + 73*r + r**2 - 3*r + 9*r + 17*r.
(r + 48)**2
Suppose 21*w + 34 = 40*w - 42. Factor 0 + 0*b + b**3 + 1/4*b**w + 3/4*b**2.
b**2*(b + 1)*(b + 3)/4
Let -7 - 2486*i**2 + 57*i + 2538*i**2 - 3 = 0. Calculate i.
-5/4, 2/13
Let h(q) = 15*q - 286. Let i be h(0). Let u = 286 + i. Solve -16/5*w**4 + 0 + u*w - 4/5*w**2 - 4*w**3 = 0 for w.
-1, -1/4, 0
Let d(p) be the third derivative of p**5/270 + 23*p**4/18 + 529*p**3/3 - 47*p**2 - 3*p. Factor d(k).
2*(k + 69)**2/9
Let c be ((-3)/9)/(3 - 114/36). Let j(g) be the first derivative of 8 + 6*g - 33/2*g**c + 9*g**3. Determine v, given that j(v) = 0.
2/9, 1
Let q(k) = -2*k**2 - 6*k. Let p be q(-3). Suppose p = 8*n - 3*n - 10. What is d in -13*d**2 + 5*d**2 + 2*d**4 + 4*d**2 - 4*d**3 + 6*d**n = 0?
0, 1
Find g such that -2/15*g**3 - 64/15*g + 64/15 + 4/3*g**2 = 0.
2, 4
Factor -1/3*h**3 - 20*h + 200/3 - 6*h**2.
-(h - 2)*(h + 10)**2/3
Let o(k) be the second derivative of -k**4/6 + 58*k**3/3 - 841*k**2 - 61*k. Factor o(b).
-2*(b - 29)**2
Solve -4/5*d**2 - 2 - 22/5*d = 0.
-5, -1/2
Let j(c) = -c**3 + 8*c**2 + c - 3. Let s be j(8). Suppose -5*q + 33 = -2*x, s*x - 38 = -5*q + 2*x. Factor 3 + 5*a - 3 - 5 - 16*a**2 + 9*a**3 + q.
(a - 1)**2*(9*a + 2)
Let o(q) be the second derivative of 2*q**7/147 - 16*q**6/15 + 934*q**5/35 - 200*q**4 + 3750*q**3/7 + 2*q + 36. Factor o(u).
4*u*(u - 25)**2*(u - 3)**2/7
Suppose -3*x - 1 = 3*n - 28, -4*x = n - 24. Factor 14/9*k - 4/9 - 2*k**2 + 10/9*k**3 - 2/9*k**n.
-2*(k - 2)*(k - 1)**3/9
Suppose t - 5*t - 80 = 0. Let b be 4/t - 16/(-5). Factor a**2 - 7*a**3 - 3*a**2 + 6*a**b + a**4.
a**2*(a - 2)*(a + 1)
Let m = 5 - -1. Suppose -5*a + 62 = m*v - 4*v, 3 = 3*v. Suppose 6*y + 9 + 0*y + y**2 - a*y = 0. Calculate y.
3
Let k(x) be the second derivative of -12 + 0*x**2 + 2*x + 5/12*x**4 - 10/3*x**3. Determine b, given that k(b) = 0.
0, 4
Let w(c) = 2*c**3 + 54*c**2 + 392*c + 4. Let t(f) = -8*f**3 - 215*f**2 - 1568*f - 18. Let d(p) = 2*t(p) + 9*w(p). Factor d(n).
2*n*(n + 14)**2
Let o(c) be the second derivative of -2/33*c**3 + 0*c**2 - c + 1/22*c**4 + 0 + 1/22*c**5. Factor o(y).
2*y*(y + 1)*(5*y - 2)/11
Let g = 1 + 9. Suppose 3*o + t = g, 4*o = -2*t + 5*t + 9. Solve 3*s**4 + 3/2*s**o - 9*s**2 - 21/2*s - 3 = 0.
-1, -1/2, 2
Let i(t) = -24*t**4 - 15*t**3 + 9*t**2 + 30*t + 3. Let k(o) = -11*o**4 - 7*o**3 + 5*o**2 + 15*o + 2. Let g(l) = 4*i(l) - 9*k(l). Factor g(r).
3*(r - 2)*(r + 1)**3
Factor 8*s - 7*s**2 + 7*s**5 - 20*s**2 - 6*s**3 - s**2 - 8*s**3 - 6*s**5 + s**4 + 32.
(s - 4)*(s - 1)*(s + 2)**3
Let f(s) be the third derivative of -s**9/136080 + s**8/45360 + s**7/5670 - 11*s**5/60 + s**2. Let i(c) be the third derivative of f(c). Solve i(y) = 0.
-1, 0, 2
Suppose -p - 2*h - 52 = -3*p, 5*h = p - 10. Factor 10*g - 278*g**2 - p*g + 283*g**2 + 20.
5*(g - 2)**2
Let n(c) = -2*c + 4. Let b be n(2). Factor 1849 + 2*y**2 - 1857 + b*y**2.
2*(y - 2)*(y + 2)
Suppose 0*l = -4*g + l + 3, -2*l + 14 = 2*g. Determine r so that -8 + 13*r**2 - 6*r**g - 3*r**2 - 4*r = 0.
-1, 2
Let a(h) be the first derivative of h**6/10 - 117*h**5/25 + 1473*h**4/20 - 2149*h**3/5 + 4464*h**2/5 - 768*h + 183. Suppose a(z) = 0. Calculate z.
1, 5, 16
Solve -8/5 + 2/5*o**2 + 0*o = 0 for o.
-2, 2
Suppose -14/5*c**3 + 0 + 8/5*c**2 + 6/5*c = 0. What is c?
-3/7, 0, 1
Let z(y) be the second derivative of -17/12*y**4 - 30*y + 1/4*y**5 + 0 + 8/3*y**3 - 2*y**2. Find w such that z(w) = 0.
2/5, 1, 2
Let l be (-2 - 3/(-3))*(3 + -5). Find d, given that d**3 + 0*d - d + 5*d**2 + 4 - l - 7*d**2 = 0.
-1, 1, 2
Suppose f = -4*d - 0*f - 3, 0 = -5*f - 15. Factor -5*t**2 + t**2 + d + 7 - 3.
-4*(t - 1)*(t + 1)
Let l be (1 + (-3)/2)*(-9 - 5). Let h(g) be the first derivative of -2/3*g**3 - 4*g**2 - 8*g - l. Factor h(t).
-2*(t + 2)**2
Let z = -1179922/247 - -4777. Let j = z + 1503/1729. What is u in 0*u + 3/7*u**4 + 3/7*u**2 + 0 - j*u**3 = 0?
0, 1
Suppose -134 = 5*y - 184. Suppose 20*d + y = 50. Factor 0 - 2/9*a**d - 8/9*a.
-2*a*(a + 4)/9
Factor 1/6*s**5 + 0*s + 0*s**2 - 2/3*s**4 + 0 + 1/2*s**3.
s**3*(s - 3)*(s - 1)/6
Let n(y) be the second derivative of -10*y + 2/39*y**3 + 0 - 1/78*y**4 + 0*y**2. Find r, given that n(r) = 0.
0, 2
Suppose 49 + 14*f**3 - 9 + 0*f**2 + 2*f**4 - 62*f + 6*f**2 = 0. Calculate f.
-5, -4, 1
Let y(z) = 5*z**3 - 16*z**2 + 6*z. Let h(q) = -15*q**3 + 47*q**2 - 17*q. Let x(s) = -6*h(s) - 17*y(s). Suppose x(p) = 0. Calculate p.
0, 2
Let z(w) be the third derivative of -w**8/168 + w**7/35 + w**6/10 - 13*w**5/15 + 9*w**4/4 - 3*w**3 - w**2 - 7*w. Let z(n) = 0. What is n?
-3, 1, 3
Let r be 2 - ((3 - 0) + -9). Suppose 3*q + 18 = 2*d, -5*d + 3*d + 2 = q. Solve -4*k**3 + 6*k**5 - 23 + r*k**4 + 0*k**d - 8*k**2 + 23 - 2*k = 0 for k.
-1, -1/3, 0, 1
Let c(k) be the second derivative of -k**7/63 + 2*k**6/9 - k**5/6 - 80*k**4/9 + 100*k**3/3 - 48*k**2 + 100*k + 2. Suppose c(n) = 0. What is n?
-4, 1, 6
Suppose -2*l - d + 5 = 0, -2*d + 4 = 5*l - 8. Suppose -l*p + 8 = 2*p + 2*z, 0 = 4*p - 5*z - 8. Suppose 0*b**p - 1/6*b**3 + 0*b + 0 = 0. Calculate b.
0
Let y(i) be the third derivative of -i**7/140 - 9*i**6/40 - 9*i**5/40 + 81*i**4/2 - 324*i**3 + 2*i**2 - 186*i. Find a, given that y(a) = 0.
-12, 3
Suppose -n = -3*m - 2269, -m - 379 - 394 = 3*n. Let r = 12894/17 + m. Suppose r - 4/17*y**3 - 8/17*y - 14/17*y**2 = 0. What is y?
-2, 1/2
Let v(d) = 2*d**3 - 33*d**2 - 48*d + 67. Let r(t) = -3*t**3 + 32*t**2 + 47*t - 68. Let m(z) = 3*r(z) + 2*v(z). Determine s so that m(s) = 0.
-2, 1, 7
Let z(h) = h**3 - 6*h**2 + 5*h + 2. Let g be z(5). Determine q so that -3 + 3*q**g + 75*q + 3 - 93*q = 0.
0, 6
Let d(k) = k**3 - 4*k**2 + 3*k. Let x(c) = -6*c**3 + 24*c**2 - 18*c. Let v(g) = -34*d(g) - 6*x(g). Factor v(y).
2*y*(y - 3)*(y - 1)
Let x(f) be the third derivative of -5/8*f**4 + 1/4*f**5 + 5/6*f**3 + 0*f + 15*f**2 + 0 - 1/24*f**6. Find l, given that x(l) = 0.
1
Suppose z - 362 + 358 = 0, -3*b = 3*z - 18. Find g such that 0 - 1/4*g**b - 1/4*g = 0.
-1, 0
Let a(h) = 10*h**4 + 5*h**3 + 25*h**2. Let k(d) = 11*d**4 + d**3 + 24*d**2. Let t(z) = 6*a(z) - 5*k(z). Factor t(q).
5*q**2*(q + 2)*(q + 3)
Factor -236/7 - 468/7*v + 4/7*v**3 - 228/7*v**2.
4*(v - 59)*(v + 1)**2/7
Let u(r) = 8*r**5 - 3*r**4 - 5*r**3 + 3. Let y(f) = -65*f**5 + 25*f**4 + 40*f**3 - 25. Let n(s) = 25*u(s) + 3*y(s). Factor n(o).
5*o**3*(o - 1)*(o + 1)
Let p = -24123 - -24126. Determine k so that 1/2*k**2 - 1/6*k**p + 1/6*k - 1/2 = 0.
-1, 1, 3
Let n(t) be the third derivative of 49*t**5/180 - 7*t**4/36 + t**3/18 + 59*t**2 + t. Suppose n(d) = 0. Calculate d.
1/7
Let t = -142 - -208. Let p be (-4)/1 - (0 - t/15). Factor 4/5*l**2 + 0 - p*l - 2/5*l**3.
-2*l*(l - 1)**2/5
Let q be ((-360)/(-30))/(5/(15/6)). Let l(i) be the first derivative of 0*i**3 + 0*i**2 + 2/25*i**5 - q + 0*i - 1/30*i**6 + 0*i**4. Let l(h) = 0. Calculate h.
0, 2
Let j(p) be the third derivative of -p**7/210 + p**6/24 - 2*p**5/15 + p**4/6 + 299*p**2. Solve j(m) = 0.
0, 1, 2
Let q be (1/((-1)/3))/(2037/(-194)). Let s(b) be the first derivative of q*b + 4 - 1/7*b**2 - 2/21*b**3 + 1/14*b**4. Factor s(k).
2*(k - 1)**2*(k + 1)/7
Determine v, given that -321/4 - 645/4*v - 3/4*v**3 - 327/4*v**2 = 0.
-107, -1
Let g(x) = -11*x**4 + 72*x**3 - 85. Let v(b) = -2*b**4 + 12*b**3 - 15. Let t(w) = 6*g(w) - 34*v(w). Determine u, given that t(u) = 0.
-12, 0
Let s(d) be the first derivative of 0*d + 5/6*d**6 + 0*d**3 + 10*d**4 - 7 + 0*d**2 + 6*d**5. Find u such that s(u) = 0.
-4, -2, 0
Let x(y) be the third derivative of -y**5/108 - y**4/6 - 7*y**3/54 - 27*y**2. Suppose x(u) = 0. Calculate u.
-7, -1/5
Let m(z) be the third deriv