 be the first derivative of j(n). What is q in p(q) = 0?
-3, 1/3
Let y(f) = 8*f + 2 - 3*f**2 + 7*f**3 - f**2 + 17*f**2. Let t(i) = -152*i - i**3 + 0 + i**2 + 153*i - 1. Let n(p) = 2*t(p) + y(p). Factor n(v).
5*v*(v + 1)*(v + 2)
Let p(d) = d**2 - 158*d - 108. Let v(x) = -158*x - 108. Let i(k) = 6*p(k) - 5*v(k). Solve i(j) = 0.
-2/3, 27
Let o(d) be the second derivative of -d**6/420 - d**5/210 + d**4/84 + 11*d**3/6 + 24*d. Let g(y) be the second derivative of o(y). Determine x so that g(x) = 0.
-1, 1/3
Let j = -623/2 + 292. Let h = j - -22. Let 0 - 9/4*b**3 - h*b**2 - 1/8*b**5 - b - 7/8*b**4 = 0. Calculate b.
-2, -1, 0
Let c(b) = 2*b**4 - 2*b**3 + 8*b**2 + 24*b + 12. Let s(y) = y**4 - 3*y**3 + 7*y**2 + 24*y + 13. Let m = -45 + 41. Let q(t) = m*s(t) + 3*c(t). Factor q(g).
2*(g - 2)*(g + 1)*(g + 2)**2
Let y = 71/51 + -1/17. Let -2/3*f**3 + 10/3*f - 2*f**2 + 2/3*f**4 - y = 0. What is f?
-2, 1
Let t be 8/12*(-12)/8. Let y be (-36)/45*(-5)/2 - t. Determine s, given that 0 + 0*s - 2/5*s**4 + 0*s**2 + 2/5*s**y = 0.
0, 1
Let r be 18/4*(-7)/((-63)/12). Determine i so that 12*i - 2*i**2 + 5*i**2 + r*i**2 - 6*i = 0.
-2/3, 0
Let y(s) = -2*s - 12. Let q be y(-7). Let b(x) = 3*x**2 + 0 - q - 4*x**2. Let r(a) = a**2 + a + 1. Let c(p) = -3*b(p) - 6*r(p). Factor c(u).
-3*u*(u + 2)
Let w(m) be the second derivative of -1/12*m**4 + 0 - 5/3*m**3 - 17*m - 25/2*m**2. What is s in w(s) = 0?
-5
Let w(b) be the second derivative of b**6/420 + b**5/140 - b**4/14 - b**3/3 - 2*b. Let s(t) be the second derivative of w(t). Factor s(x).
6*(x - 1)*(x + 2)/7
Let s(b) = -b**3 + 12*b**2 - 2*b + 16. Let a be s(12). Let n be (-2)/(-12)*(-64)/a. Find c, given that 1/3*c**2 + n + 4/3*c = 0.
-2
Let u(v) be the second derivative of v**8/1512 + 4*v**7/945 + v**6/108 + v**5/135 + 17*v**2 - 17*v. Let o(w) be the first derivative of u(w). Factor o(s).
2*s**2*(s + 1)**2*(s + 2)/9
Let u(h) be the third derivative of -h**5/210 + h**4/42 + 8*h**3/21 - 37*h**2 + h. Let u(t) = 0. What is t?
-2, 4
Let w(j) = j**2 - 3*j - 2. Suppose 5*d - 20 = -25. Let l be w(d). Factor 0 + 1/2*p**l + 1/2*p.
p*(p + 1)/2
Let -9*w**2 - 48*w + 3*w**2 + 2*w**2 + 2*w**2 = 0. Calculate w.
-24, 0
Let u = 2390 + -2388. Let n(j) be the first derivative of 10 - 2/45*j**5 + 0*j + 1/6*j**4 - 4/9*j**u + 0*j**3. Suppose n(a) = 0. Calculate a.
-1, 0, 2
Let t(c) = c**2 + 2*c + 2. Let w(r) = 6*r + 114. Let k(x) = -3*t(x) + w(x). Factor k(s).
-3*(s - 6)*(s + 6)
Let o(j) be the third derivative of -j**7/450 + 4*j**6/225 - 2*j**5/75 + 13*j**4/24 - 24*j**2. Let u(x) be the second derivative of o(x). What is r in u(r) = 0?
2/7, 2
Let z(f) be the first derivative of -f**7/42 - f**6/8 - f**5/6 - 17*f**2 - 37. Let i(m) be the second derivative of z(m). Factor i(x).
-5*x**2*(x + 1)*(x + 2)
Factor 369 + 720*j - 1969 - 29*j**2 + 17*j**2 - 39*j**2 - 45*j**2 + 4*j**3.
4*(j - 10)**2*(j - 4)
Let d = -3569 + 3571. Factor 0 - 1/3*k**5 + 0*k**4 + 0*k + k**3 - 2/3*k**d.
-k**2*(k - 1)**2*(k + 2)/3
Suppose 5*a - 2*r - 13 = 0, r - 2 = -r. Suppose 0 = -4*d + 8, 3*z = -2*d + 5*d + 21. What is l in z*l**2 + 3*l**4 + l + 2*l + 1 - 1 + 9*l**a = 0?
-1, 0
Suppose 2*g = -2*i + 2, -4*g - 5*i + 1 = -0. Let o be g/22 - (-8)/440. Let -1/5*w**3 + 3/5*w**2 - 3/5*w + o = 0. What is w?
1
Let g(o) = 3*o**2 - 18*o + 19. Let h(s) = 4*s**2 - 18*s + 20. Let u(m) = 3*g(m) - 2*h(m). Factor u(a).
(a - 17)*(a - 1)
Determine w, given that -1/4*w - 1/2*w**2 - 1/4*w**3 + 0 = 0.
-1, 0
Factor 0*u + 0 - 6/13*u**3 + 2/13*u**5 + 4/13*u**4 + 0*u**2.
2*u**3*(u - 1)*(u + 3)/13
Let u(d) be the third derivative of -1/15*d**5 - 1/336*d**8 + 1/3*d**3 + 1/60*d**6 - d**2 - 1/24*d**4 + 1/105*d**7 + 0*d + 0. What is j in u(j) = 0?
-1, 1, 2
Let b(o) be the second derivative of o**4/8 + 5*o**3/4 + 9*o**2/2 + 2*o - 165. Factor b(v).
3*(v + 2)*(v + 3)/2
Let c be -4 - 1 - 6327/(-855). Determine y, given that 36/5*y - 21/5*y**2 + c = 0.
-2/7, 2
Let v(n) be the first derivative of -n**5/40 + 7*n**4/32 + n**3 - 45*n**2/4 - 107. Factor v(o).
-o*(o - 6)**2*(o + 5)/8
Solve -202/7*l**2 - 2/7*l**3 - 198/7 - 398/7*l = 0.
-99, -1
Let l(s) be the second derivative of s**5/20 - 7*s**4/4 + 19*s**3/3 - s + 429. Factor l(k).
k*(k - 19)*(k - 2)
Suppose 2*h + 4*i = 18, -3*i = -0*h - 3*h + 72. Factor -6*o**2 - h - 3*o**3 - 29 - 3*o + 48.
-3*o*(o + 1)**2
Factor 2 + 12/7*h - 2/7*h**2.
-2*(h - 7)*(h + 1)/7
Let y(t) be the second derivative of t**6/900 - t**4/60 - 4*t**3/3 + 11*t. Let x(k) be the second derivative of y(k). Find u, given that x(u) = 0.
-1, 1
Let u(w) be the third derivative of -w**6/160 - 29*w**5/40 - 841*w**4/32 - 2*w**2 - 59. Solve u(v) = 0 for v.
-29, 0
Suppose 2*u + 25 - 7 = 3*c, 5*c - 2*u - 22 = 0. Factor -4/11*w - 2/11*w**c + 0.
-2*w*(w + 2)/11
Let t = 83 - 92. Let m be 0*(t/(-6) + -1). Suppose -4/5*h**4 + 4/5*h**2 + 0 + m*h + 2/5*h**3 - 2/5*h**5 = 0. What is h?
-2, -1, 0, 1
Factor 880*c - 11*c**3 - 1/2*c**4 - 3200 + 39/2*c**2.
-(c - 5)**2*(c + 16)**2/2
Find s such that -2/9*s**3 - 40/9 + 38/9*s + 4/9*s**2 = 0.
-4, 1, 5
Suppose -n + 6 = 2*n. Let j be (-29)/(-9) - n/9. What is h in -6*h + 7*h - j*h**2 + 8*h = 0?
0, 3
Let o(g) be the third derivative of 0*g + g**2 + 0 + 1/330*g**5 - 1/66*g**4 + 0*g**3. Factor o(s).
2*s*(s - 2)/11
Suppose -9*m - 60/7 - 3/7*m**2 = 0. Calculate m.
-20, -1
Suppose 9*w - 15 = 4*w. Let 9*z**2 + 6 - 2*z**4 - 2*z**4 - 3*z**3 - 2*z**4 + w*z**4 + 15*z = 0. What is z?
-1, 2
Let g = -1312 - -3938/3. Determine t, given that -1/3*t**2 + 1/3*t + g = 0.
-1, 2
Suppose -8*f - 4*f = -24. Let i be (4/10)/(f/20). Factor -3/5*y**i - 4/5*y + 0*y**2 + 0 + 7/5*y**3.
-y*(y - 2)*(y - 1)*(3*y + 2)/5
Let b = 13782 - 13780. Find k, given that 0 + 8/3*k + 4/3*k**3 + 4*k**b = 0.
-2, -1, 0
Let z be (-9 - -14)*28/35. Solve 4/3*i**2 - 4/3*i**z + 4/3*i**3 + 0 - 4/3*i = 0.
-1, 0, 1
Let k(h) be the second derivative of h**7/12600 - h**6/900 + h**4/12 + 21*h. Let s(t) be the third derivative of k(t). What is f in s(f) = 0?
0, 4
Let x = 488709/71267 + -3/10181. Solve -288/7 - 2/7*g**2 + x*g = 0 for g.
12
What is r in -19*r + r**2 + 45*r + 48*r + 1369 = 0?
-37
Let m(c) be the third derivative of c**6/360 + c**5/18 + 4*c**4/9 + 16*c**3/9 - 14*c**2. Solve m(a) = 0.
-4, -2
Let c(q) be the first derivative of 15 + 0*q - 1/10*q**4 - 2/5*q**2 + 2/5*q**3. Factor c(h).
-2*h*(h - 2)*(h - 1)/5
Suppose 38*n = 42*n - 8. Find s, given that -20*s**4 + 4*s**5 + 16*s**3 + 4*s**n + 64 + 31*s**2 + 37*s**2 - 128*s - 8*s**2 = 0.
-2, 1, 2
Suppose -2*y - 3*y = 2*m - 29, 5*m - 30 = -4*y. Let o = 89 - 265/3. What is q in 4/3*q**4 - 4/3*q**2 + o*q**y - 2/3*q + 0 + 0*q**3 = 0?
-1, 0, 1
Suppose b + 8 = 2. Let p be (8/32)/(b/(-16)). Factor -16/3 + p*v**4 + 4*v**2 - 8/3*v + 10/3*v**3.
2*(v - 1)*(v + 2)**3/3
Suppose -183 = 43*p - 40*p. Let j = 61 + p. Factor 1/3*l**4 + j*l - 2/3*l**5 + 0*l**2 + 1/3*l**3 + 0.
-l**3*(l - 1)*(2*l + 1)/3
Find o, given that -18*o**3 + 37*o**5 + 40*o**5 - 10*o**2 - 75*o**5 - 6*o**4 = 0.
-1, 0, 5
Let n(l) be the second derivative of l**5/180 - l**4/72 + 5*l**2 + 2*l. Let t(h) be the first derivative of n(h). Factor t(r).
r*(r - 1)/3
Let r(k) be the third derivative of 0*k - 1/168*k**8 - 2*k**2 + 0*k**7 - 1/16*k**4 + 7/240*k**6 + 1/12*k**3 + 0 - 1/120*k**5. Solve r(p) = 0.
-1, 1/2, 1
Let d(z) be the third derivative of -z**6/200 - 9*z**5/100 - z**4/5 + 260*z**2. Solve d(l) = 0 for l.
-8, -1, 0
Let z(s) be the first derivative of -1/18*s**4 - 8 - 1/90*s**5 - 1/9*s**2 + 3*s - 1/9*s**3. Let l(y) be the first derivative of z(y). Factor l(v).
-2*(v + 1)**3/9
Suppose 4*n = -2*n + 12. What is t in 8*t - 3*t**5 + n - 2*t**3 - 7*t**4 - 3*t + 0 + 6*t**2 - 1 = 0?
-1, -1/3, 1
Let n(p) be the first derivative of 4/27*p**3 + 0*p + 11 + 1/18*p**4 + 0*p**2. Factor n(c).
2*c**2*(c + 2)/9
Let o(l) be the first derivative of -l**6/15 + 4*l**5/25 + 3*l**4/10 + 29. Factor o(t).
-2*t**3*(t - 3)*(t + 1)/5
Let y(o) = o**3 - 2*o**2 + o - 2. Let z be y(2). Suppose z = -26*b + 31*b - 10. Factor -8/7*p**b + 4/7 + 2*p.
-2*(p - 2)*(4*p + 1)/7
Let h(a) be the first derivative of a**6/840 + a**5/280 + 2*a**3/3 + 7. Let x(b) be the third derivative of h(b). Determine p, given that x(p) = 0.
-1, 0
Let u(x) = -5. Let m(t) = -4. Let y(g) = -4*m(g) + 3*u(g). Let q(w) = -4*w**2 + 40*w - 42. Let d(f) = q(f) + 6*y(f). Solve d(z) = 0.
1, 9
Suppose