
-3*(s + 2)*(s + 14)/7
Let q = 43168 + -128321/3. Let c = -394 + q. Factor 2/3 + y + c*y**2.
(y + 1)*(y + 2)/3
Let c(m) = -m**3 + 86*m**2 + 17196*m + 97. Let y be c(-95). What is q in -80/3 - 28*q + 4/3*q**3 + 0*q**y = 0?
-4, -1, 5
Let r(h) be the third derivative of -167*h**2 - 1/280*h**7 - 9/20*h**5 + 3/40*h**6 + 0*h**3 + 0*h + 0*h**4 + 0. Determine d so that r(d) = 0.
0, 6
Let o(d) be the second derivative of -3*d**5/20 - 91*d**4/4 - 176*d**3 - 522*d**2 - 30*d - 4. Factor o(y).
-3*(y + 2)**2*(y + 87)
Let j(h) be the third derivative of h**7/525 - 23*h**6/150 - h**5/150 + 23*h**4/30 + h**2 - 33*h - 1. Find i, given that j(i) = 0.
-1, 0, 1, 46
Let o be ((-3)/2 + -3)/(15/20). Let f be o*6/(-126) - 33/(-7). Determine w, given that 20*w**2 - 12*w**3 + 25*w**5 + 31*w**5 - 20*w**4 - 4*w - 40*w**f = 0.
-1, 0, 1/4, 1
Let v(n) be the second derivative of 0 - 7/24*n**4 - n**3 + 20*n - 1/60*n**5 - 25/2*n**2. Let h(t) be the first derivative of v(t). Find i such that h(i) = 0.
-6, -1
Let q(c) be the third derivative of -c**8/1008 - c**7/105 + c**6/10 - 2*c**5/9 - 2255*c**2 - c. Determine b, given that q(b) = 0.
-10, 0, 2
Let g(s) = s**3 - 8*s**2 - 31*s - 22. Let c be g(11). Let m(o) be the first derivative of 24 - 20*o + c*o**2 + 5*o**3 + 5/4*o**4. Factor m(t).
5*(t - 1)*(t + 2)**2
Let l(o) be the first derivative of o**6/12 + o**5/5 - 3*o**4/8 - 962. Factor l(a).
a**3*(a - 1)*(a + 3)/2
Let f = 399677/3 + -133225. Suppose 0 + 14/3*u - f*u**2 = 0. What is u?
0, 7
Let t(m) be the second derivative of m**7/63 + 2*m**6/3 + 28*m**5/15 - m**4/9 - 19*m**3/3 - 28*m**2/3 + 1293*m. Solve t(f) = 0.
-28, -1, 1
Factor 39*j**4 - 21*j**4 - 348*j**3 - 22*j**4.
-4*j**3*(j + 87)
Let g = -1337 - -1341. Let b(v) be the first derivative of -10*v + g*v**2 + 2/3*v**3 + 12. Factor b(q).
2*(q - 1)*(q + 5)
Let v(d) be the third derivative of -1/32*d**6 - 7/32*d**4 + 0*d - 4*d**2 - 9/80*d**5 - 1/4*d**3 - 5 - 1/280*d**7. What is l in v(l) = 0?
-2, -1
Solve -9*r - 1/3*r**3 - 4*r**2 + 0 = 0.
-9, -3, 0
Factor 23/2*p**3 - 129/2*p**2 - 42 - 1/6*p**4 + 571/6*p.
-(p - 63)*(p - 4)*(p - 1)**2/6
Let m(x) be the first derivative of -128 + 11/12*x**2 + 1/30*x**5 + 1/24*x**4 - 2/3*x - 1/2*x**3. Factor m(r).
(r - 1)**3*(r + 4)/6
Let w = -82 - -90. Factor f**2 - 3*f**2 - w - 68*f - 570.
-2*(f + 17)**2
Let j(l) be the third derivative of l**7/90 - l**6/30 - 25*l**4/8 + l**3/6 - 74*l**2. Let c(g) be the second derivative of j(g). Factor c(t).
4*t*(7*t - 6)
Suppose 3*n - 19 = -4*s, -2*s - 3*s - 5 = -2*n. Let r(j) = -j**2 + 5*j + 3. Let i be r(n). Factor -3*c**i + 2*c**3 + 2*c**2 - c + 0*c**3.
-c*(c - 1)**2
Let a = 240 + -237. Let w be (-255)/(-42) - a - (-24)/(-42). Solve w*r + 5/4*r**3 + 0 + 15/4*r**2 = 0 for r.
-2, -1, 0
Factor 24*y - 1/3*y**3 + 0 + 2*y**2.
-y*(y - 12)*(y + 6)/3
Suppose 4*w - 2*w + 367 = 3*k, -k + 357 = -2*w. Let v be (1/6*2)/(w/(-288)). Factor -v*r**3 + 0 + 8/11*r - 2/11*r**4 + 0*r**2.
-2*r*(r - 1)*(r + 2)**2/11
Let q(a) be the third derivative of -3*a**3 + 0 - 7/8*a**4 + 2*a**2 - 1/20*a**5 + 0*a. Factor q(m).
-3*(m + 1)*(m + 6)
Let z(b) be the first derivative of 41*b + 1/6*b**4 + 10/3*b**3 + 9*b**2 - 34. Let o(r) be the first derivative of z(r). Factor o(u).
2*(u + 1)*(u + 9)
Let x(k) be the second derivative of 8 + 4/13*k**2 - 1/26*k**5 - 1/195*k**6 + 8/39*k**3 + 1/78*k**4 + 1/273*k**7 + 2*k. Determine s, given that x(s) = 0.
-1, 2
Let y(m) be the first derivative of 23/32*m**4 + 1/48*m**6 + 193 - 1/5*m**5 + 3/4*m**2 + 0*m - 7/6*m**3. Let y(c) = 0. Calculate c.
0, 1, 2, 3
Suppose -20*o - 9*o = -2*o. Let t(d) be the third derivative of -15*d**2 + o*d**4 + 0 - 1/525*d**7 + 0*d**3 + 0*d + 1/75*d**6 - 1/50*d**5. Solve t(j) = 0.
0, 1, 3
Let t(o) be the second derivative of 3*o**2 + 1/48*o**4 - 1/3*o**3 + 1/432*o**6 + 0 - 1/90*o**5 + 19*o. Let a(d) be the second derivative of t(d). Factor a(z).
(z - 1)*(5*z - 3)/6
Suppose -1068 + 236 = 32*u. Let r = -21 - u. Solve 0 + 0*p**4 - 1/2*p**r + 0*p - p**2 + 3/2*p**3 = 0.
-2, 0, 1
Let u = 2015713/4 + -503927. Find o such that u*o - 1/4*o**2 - 1 = 0.
1, 4
What is a in 114*a**4 - 494*a**4 + 14*a**5 - 18426*a**3 - 35720*a**2 - 16*a**5 - 17672*a = 0?
-94, -1, 0
Suppose 33*x = -33*x. Let g(v) be the third derivative of 1/14*v**5 + x*v + 0 - 11*v**2 + 4/21*v**3 + 5/168*v**6 - 3/14*v**4. Determine k so that g(k) = 0.
-2, 2/5
Suppose 0 = -4*g + 3*n + 713, 7*n = -3*g + 5*n + 556. Let z = 184 - g. Let -1/2*i + 1/4 + 1/4*i**z = 0. What is i?
1
Factor 1/3*y**3 - 97/3*y - 32*y**2 + 0.
y*(y - 97)*(y + 1)/3
Let y = -44797 - -44824. Suppose 3/2*x**5 + 0 - y*x - 21/2*x**4 + 9/2*x**2 + 39/2*x**3 = 0. Calculate x.
-1, 0, 2, 3
Let f = 160297/2 + -80144. Factor -1/2*l + 1/2*l**3 + f - 9/2*l**2.
(l - 9)*(l - 1)*(l + 1)/2
Let h(q) be the third derivative of -23/12*q**4 + 14/3*q**3 + 0 - 1/60*q**6 + 3*q**2 + 1/3*q**5 + 8*q. Factor h(d).
-2*(d - 7)*(d - 2)*(d - 1)
Let h(l) be the second derivative of -3*l**4/44 + 32*l**3/33 - 30*l**2/11 + 6*l + 154. Determine v so that h(v) = 0.
10/9, 6
Let u(f) be the second derivative of -f**4/3 + 320*f**3 - 1912*f**2 - 413*f + 3. Find b, given that u(b) = 0.
2, 478
Determine n so that 676*n + 417*n**3 + 1/2*n**5 + 0 + 55/2*n**4 + 1066*n**2 = 0.
-26, -2, -1, 0
Let h(n) be the second derivative of -1/3*n**7 - 116/75*n**6 + 87*n - 1 + 477/50*n**5 - 24/5*n**2 + 188/15*n**3 - 49/3*n**4. Suppose h(y) = 0. What is y?
-6, 2/7, 2/5, 1
Let f be -33 + 8333/117 + -38. Suppose 2/9*s**3 + 4/9 - 2/3*s**2 + 2/9*s**4 - f*s = 0. What is s?
-2, -1, 1
Suppose 0 = 3*m + 4 - 16. Suppose 100 = 11*j + 14*j. Find c such that -8*c + 4*c**3 + 2*c**3 - 3*c**3 + m*c**4 - j*c**2 + 5*c**3 = 0.
-2, -1, 0, 1
Let c(l) = -l**2 + 4*l + 8. Suppose -30 = -t - 5*t. Let x be c(t). Factor -73*r**2 + x + 70*r**2 + 4*r - 4*r.
-3*(r - 1)*(r + 1)
Let y(s) = 5*s - 21. Let k(j) = 2*j - 7. Let w(d) = 8*k(d) - 3*y(d). Let c be w(-5). Factor -8*a**2 - 7*a**2 + 17*a**c + 2*a**2 - 12*a**3.
-4*a**2*(3*a - 1)
Let p(m) be the third derivative of m - 75*m**2 + 2/3*m**3 - 1/30*m**5 - 1/12*m**4 + 0. Determine h, given that p(h) = 0.
-2, 1
Let s be 328/36 + 16/6*(-10)/120. Let -2/9*y**2 - s*y - 800/9 = 0. Calculate y.
-20
Let c(k) be the first derivative of -1/36*k**4 + 47 + 0*k - 5/6*k**2 + 16/27*k**3. Let c(a) = 0. What is a?
0, 1, 15
Let d(f) be the second derivative of f**4/48 - 227*f**3/12 + 51529*f**2/8 + 2*f - 2061. Factor d(t).
(t - 227)**2/4
Suppose 5*v - 19 = -2*a, 0 = -5*a - 3*v + 19 - 0. Suppose 0 = a*g - 5*g + 12. Factor 4*n + n**4 + n - 3*n**2 - 3*n**g - 2 - n**3 + 3*n**4.
(n - 1)**3*(n + 2)
Let v(y) be the first derivative of y**6/7 - 68*y**5/35 + 18*y**4/7 + 80*y**3/21 + 2817. Determine q so that v(q) = 0.
-2/3, 0, 2, 10
Let n(s) be the first derivative of -2*s**3/45 + 628*s**2/15 - 197192*s/15 - 2161. Factor n(q).
-2*(q - 314)**2/15
Suppose 57*m - 41*m - 576 = 0. Find k such that m + 24*k - 81*k**2 + k**2 - 3*k**3 - 20*k**4 - 69*k**3 + 10*k**3 - 26*k**3 = 0.
-3, -1, 3/5
Let f = 153 - 151. Factor -15*j - 8*j**f - 5*j**4 - 19*j + 54*j + 30*j**3 - 37*j**2.
-5*j*(j - 4)*(j - 1)**2
Let i(l) = -4*l**2 - 1639*l + 334565. Let x(r) = 10*r**2 + 4916*r - 1003694. Let n(c) = 8*i(c) + 3*x(c). Solve n(q) = 0 for q.
409
Let g(b) be the second derivative of -5*b**7/42 + 9*b**6 + 111*b**5/4 + 70*b**4/3 - 43*b. Suppose g(j) = 0. What is j?
-1, 0, 56
Let o = 138624011/63 - 2200323. Let k = -518/9 + o. Factor -6/7*j**4 + 4/7*j**3 + 2/7 + k*j**2 - 6/7*j + 2/7*j**5.
2*(j - 1)**4*(j + 1)/7
Suppose -z + 5*z - 5*w = 33, -3*w + 4 = z. Suppose -8 = z*u - 8. Factor u*o + 25*o**4 + 7*o**3 + 5*o + 15*o**2 - 52*o**3.
5*o*(o - 1)**2*(5*o + 1)
Let v(j) = j**2 - 199*j + 364. Suppose 6 + 3 = -b - f, -4*f + 19 = -b. Let x(o) = -o**2 + 394*o - 729. Let s(m) = b*v(m) - 6*x(m). Factor s(t).
-5*(t - 2)*(t + 37)
Let j(f) be the first derivative of 0*f + 1/3*f**3 + 0*f**2 - 45. Let o(y) = -18*y - 15. Let p(z) = 3*j(z) - o(z). Factor p(k).
3*(k + 1)*(k + 5)
Suppose -8 = -4*a + 4*k, 13*a = 15*a + 3*k - 24. Suppose 4 = 2*s - 4*f, -5*s = 4*f - a*f - 18. Let 2/3*h**3 - s*h**2 + 16/3 - 8/3*h + 2/3*h**4 = 0. Calculate h.
-2, 1, 2
Let i(q) be the third derivative of -q**8/672 + 8*q**7/105 - 79*q**6/80 + 367*q**5/60 - 259*q**4/12 + 46*q**3 + 1279*q**2. Let i(l) = 0. What is l?
2, 3, 23
Let u(w) be the third deriva