
0, 3, 6
Factor -40/3*b**3 + 99 + 1/3*b**4 + 82*b**2 - 168*b.
(b - 33)*(b - 3)**2*(b - 1)/3
Let u = 14412/197 + -186962/2561. Factor 2/13*w**2 - u*w**3 + 12/13*w + 0.
-2*w*(w - 3)*(w + 2)/13
Suppose -180 - 140814*f + 140610*f - 236 + 2*f**2 = 0. Calculate f.
-2, 104
Solve 85/3*y**4 - 185/3*y - 95/3 + 10/3*y**2 - 5/3*y**5 + 190/3*y**3 = 0.
-1, 1, 19
Let a(l) be the first derivative of 2*l**5/45 - 43*l**4/9 + 502*l**3/27 - 166*l**2/9 - 2478. Let a(i) = 0. What is i?
0, 1, 2, 83
Suppose m - 3*p - 18 = 0, 4*m + 5*p = 3*p + 2. Suppose 68 = 4*b - 12. Factor 4*a**m + 159 - 4*a**2 - b*a - 171 + 0*a**2.
4*(a - 3)*(a + 1)**2
Let b = -15 + 25. Let x(v) = -v**3 + 11*v**2 - 10*v + 11. Let z be x(b). Factor 5*c - 30 + 11*c + 6*c**2 - c**2 - z*c.
5*(c - 2)*(c + 3)
Let t(w) be the third derivative of -w**5/240 + 151*w**4/96 + 2*w**2 - 863. Factor t(m).
-m*(m - 151)/4
Let m(a) be the first derivative of 4/5*a**2 - 3 - 4*a + 1/15*a**3. Factor m(n).
(n - 2)*(n + 10)/5
Factor -2/19*w**2 - 24*w - 904/19.
-2*(w + 2)*(w + 226)/19
Let y(j) be the second derivative of 16*j**5/5 - 56*j**4 + 294*j**3 + 4688*j. Solve y(i) = 0.
0, 21/4
Find h such that 450/11*h**4 + 0 - 36/11*h - 125/11*h**5 + 228/11*h**2 - 505/11*h**3 = 0.
0, 2/5, 3/5, 2
Let r(l) = l**3 - 26*l**2 - 32*l + 12. Let a(i) = 3*i**2 - 3. Let d(x) = 4*a(x) + r(x). Find b, given that d(b) = 0.
-2, 0, 16
Determine f so that 180*f**2 - 111/2*f - 3/2 = 0.
-1/40, 1/3
Let s be (-100)/480*(-4)/105. Let n(j) be the second derivative of 0*j**2 - 1/60*j**5 - 1/36*j**4 + 1/90*j**6 + 4*j + s*j**7 + 0*j**3 + 0. Factor n(b).
b**2*(b - 1)*(b + 1)**2/3
Let c(a) be the second derivative of 48*a - 1 - 25/12*a**4 + 1/4*a**5 + 0*a**2 + 0*a**3. Factor c(q).
5*q**2*(q - 5)
Let b be (((-40)/(-300))/(9/225))/(4/6). Let a(l) be the first derivative of 7/6*l**4 - 4/15*l**b + 23 - 4/3*l**2 + 10/9*l**3 + 0*l. Let a(x) = 0. Calculate x.
-1, 0, 1/2, 4
Let k(y) = 4*y**4 - 108*y**3 + 260*y**2 + 20*y - 352. Let g(n) = -2*n**3 - n**2 + n. Let u(a) = -4*g(a) + k(a). Let u(j) = 0. Calculate j.
-1, 2, 22
Let q(j) be the third derivative of j**6/40 - j**5/2 + 3*j**4/8 + 27*j**3 - 1488*j**2. Factor q(h).
3*(h - 9)*(h - 3)*(h + 2)
Let h = 46725 + -233617/5. Factor 2*s + 2/5 + h*s**2.
2*(s + 1)*(4*s + 1)/5
Factor -24000 + 460/3*s**2 - 4/3*s**3 - 4000*s.
-4*(s - 60)**2*(s + 5)/3
Let x be 8/(-4) - (726/44)/(21/(-28)). Find b, given that -1/3*b**4 - x*b - 118/3*b**2 - 7*b**3 + 200/3 = 0.
-10, -2, 1
Let s be ((-24)/2)/3 - 2. Let l be 0 + 1/(-2 + (-14)/s). Find u such that -4*u**3 + 18 + 5*u - u**l + 10*u**2 - 28 = 0.
-1, 1, 2
Let o be (-115)/19*-6*(-740)/(-300). Let c = o - 13019/171. Factor -1/9*t**3 + c - 11*t - 7/3*t**2.
-(t - 1)*(t + 11)**2/9
Let k be ((-210)/20)/(-21) - 7/14. Let y(p) be the third derivative of 1/12*p**5 + 1/24*p**6 + 0 + 0*p + 0*p**3 + k*p**4 + 5*p**2. Factor y(j).
5*j**2*(j + 1)
Let r(j) be the first derivative of -j**4/96 - j**3/4 + 144*j + 78. Let w(c) be the first derivative of r(c). Factor w(p).
-p*(p + 12)/8
Let b(t) be the third derivative of 0 + 16*t**2 - 7/24*t**4 - 2/3*t**3 + 3*t - 1/40*t**5. Determine u so that b(u) = 0.
-4, -2/3
Let n(f) be the first derivative of f**4/3 - 1424*f**3/9 + 62650*f**2/3 + 256328*f/3 + 162. Factor n(w).
4*(w - 179)**2*(w + 2)/3
Let m(r) = 127*r - 47. Let q be m(1). Determine k, given that 25*k**4 + 7*k + 15*k + 77*k**3 - 2*k + 8*k**3 + q*k**2 = 0.
-2, -1, -2/5, 0
Let g(c) be the second derivative of 14 + 0*c**3 + 1/10*c**6 - 1/42*c**7 + 2*c + 1/12*c**4 - 3/20*c**5 + 0*c**2. Find f such that g(f) = 0.
0, 1
Let q be (-3)/(-6) + (1001/112 - -2). Let l = 3875/336 - q. Find v such that 2/21 + 0*v - l*v**2 = 0.
-1, 1
Suppose -1021 = 15*q + 599. Let f be (-1)/((6/(-8))/((-135)/q)). Factor -11*c**2 + 16/3*c + f*c**3 + 4.
(c - 6)*(c - 1)*(5*c + 2)/3
Let x(k) = 1705*k + 1. Let w be x(5). Factor -w*i**2 + 8527*i**2 - 1 - 23*i - 23.
(i - 24)*(i + 1)
Let p be (4 - 2)*18/12. Let s be (p/(-4))/1*-4. Solve -140*q + 66*q**s - 70*q**3 - 158 - 38 + 52*q**2 = 0.
-1, 7
Let y be (-4)/((-16)/44) + 0. Suppose 4*t = -2*v + 14, -3*v = -t - 3*t - y. Factor -5*p - 3*p**2 - 7*p + 18 - 8*p + v*p.
-3*(p - 1)*(p + 6)
Suppose -12/5*v + 0*v**3 + 1/5*v**4 + 0 - 13/5*v**2 = 0. Calculate v.
-3, -1, 0, 4
Factor 0 + 1/9*k**2 + 56/9*k.
k*(k + 56)/9
Factor -5/7*z**2 + 20/7 - 4/7*z + 1/7*z**3.
(z - 5)*(z - 2)*(z + 2)/7
Let k(g) be the third derivative of -5*g**8/336 + 11*g**7/42 + 15*g**6/8 - 189*g**5/4 - 29*g**2 - g + 36. Solve k(x) = 0 for x.
-7, 0, 9
Let g(t) be the second derivative of 625/9*t**2 + 0 + 16*t + 1/54*t**4 - 50/27*t**3. Factor g(x).
2*(x - 25)**2/9
Let x(i) be the third derivative of i**6/300 - 19*i**5/50 - i**4/60 + 19*i**3/5 - 3819*i**2. Find k such that x(k) = 0.
-1, 1, 57
Suppose -3*q**5 - 764*q - 51*q**3 - 39*q**3 + 398*q + 20*q**2 - 46*q**4 + 26 + 459*q = 0. Calculate q.
-13, -2, -1, -1/3, 1
Let d(n) be the first derivative of -n**4/24 + 5*n**3/4 - 76*n - 82. Let k(j) be the first derivative of d(j). Factor k(x).
-x*(x - 15)/2
Let f be (2/(-3))/((-1)/6). Suppose 0 = 37*l - 39*l + 3*b - 4, -50 = -l - 5*b. Factor f*n**2 + 24 - l*n**2 - 7*n**2 - 78*n - 8*n**2.
-3*(n + 4)*(7*n - 2)
Let p(l) be the third derivative of l**6/300 + 6*l**5/25 - 5*l**4/4 + 38*l**3/15 - l**2 + 167. Solve p(a) = 0.
-38, 1
Suppose 5*l + 21*c - 19*c = -14, 0 = 4*l + 3*c + 21. Solve -14/3*m**2 - 2/3*m**3 - 20/3*m + l = 0 for m.
-5, -2, 0
Let y(x) be the first derivative of x**6/90 - 7*x**5/30 + x**4 - x**3/3 + 3*x**2 + 35. Let n(d) be the third derivative of y(d). Find z such that n(z) = 0.
1, 6
Let v be 4/(-22) + (-3234)/(-1815). Solve 0 - v*p**2 + 4/5*p - 12/5*p**3 = 0.
-1, 0, 1/3
Let n(h) be the first derivative of h**7/168 - 3*h**6/4 + 81*h**5/2 - 1215*h**4 + 3*h**3 - h - 34. Let u(m) be the third derivative of n(m). Factor u(t).
5*(t - 18)**3
Let t(n) = -5*n**2 - 3609*n - 1641669. Let r(o) = -24*o**2 - 18050*o - 8208346. Let a(i) = 3*r(i) - 14*t(i). Factor a(k).
-2*(k + 906)**2
Let y = 459 + -483. Let h be (y/84)/1 - (-32)/14. Solve 0 - 14/13*d**h - 18/13*d**3 + 4/13*d = 0 for d.
-1, 0, 2/9
Let p(c) = 22*c + 180. Let g be p(-9). Let y be (-3 + (-26)/g)*48/(-280). Find x, given that -2/15*x**2 + 0 + y*x - 2/15*x**3 = 0.
-2, 0, 1
Let n be (-248)/(-62) - (-4 + -22). Determine x, given that n*x - 145/4*x**2 + 45/4*x**3 - 5 = 0.
2/9, 1, 2
Let -330056*l**3 + l**5 - 32 - 90*l**2 - 137*l + 6*l**4 - 28 + 330048*l**3 = 0. What is l?
-5, -3, -1, 4
Let r(o) be the first derivative of 161 - 40/9*o**3 - 128/3*o - 1/3*o**4 - 64/3*o**2. Factor r(z).
-4*(z + 2)*(z + 4)**2/3
Let y(n) be the second derivative of -5*n**4 - 1/10*n**5 + 0 + 51*n - 392*n**2 - 84*n**3. Factor y(a).
-2*(a + 2)*(a + 14)**2
Let -9 + 34*m**2 + 302*m**2 + 207*m**2 - 21 + 262*m**2 - 2405*m = 0. Calculate m.
-2/161, 3
Suppose -55 = -363*i + 352*i. Let y(g) be the first derivative of 0*g**2 + 0*g + 2/15*g**3 + 1/5*g**4 + 2/25*g**i + 39. Factor y(o).
2*o**2*(o + 1)**2/5
Let n(w) be the third derivative of w**7/5040 - w**6/180 + w**5/20 + w**4/24 + 16*w**3/3 - w**2 - 4. Let a(h) be the second derivative of n(h). Factor a(t).
(t - 6)*(t - 2)/2
Let a(q) = -q**2 + 17*q + 143. Let x be a(-6). Suppose -81*c**5 + 280*c**2 - 100*c - 165*c**3 + 40*c**5 + x*c**4 + 51*c**5 = 0. What is c?
-5, 0, 1/2, 2
Suppose 0 = -8*b - 319 + 95. Let c be 6 + 21/b - 5. Factor -1/4*z**2 + c*z + 0.
-z*(z - 1)/4
Let c(l) = -l + 4. Suppose -6*t - 10 = -3*t + 4*w, 0 = -3*t - 5*w - 14. Let o(d) = 5*d**2 - 113*d + 102. Let u(n) = t*c(n) + o(n). Factor u(v).
5*(v - 22)*(v - 1)
Let d(j) be the third derivative of 36*j**2 - 4/5*j**5 - 5/63*j**7 - 1/168*j**8 + 0 + 4/9*j**4 + 0*j + 16/3*j**3 - 2/5*j**6. Suppose d(h) = 0. Calculate h.
-3, -2, 2/3
Let p(t) = 27*t**3 - 2184*t**2 - 2976*t - 996. Let d(v) = -27*v**3 + 2177*v**2 + 2976*v + 996. Let s(u) = -3*d(u) - 4*p(u). Factor s(f).
-3*(f - 83)*(3*f + 2)**2
Let s(j) be the first derivative of -j**4/20 + 823*j**3/15 - 169743*j**2/10 + 168921*j/5 - 3299. Factor s(q).
-(q - 411)**2*(q - 1)/5
Let h(y) be the first derivative of -1/216*y**4 + 11/2*y**2 - 1/540*y**5 + 0*y + 1/27*y**3 - 13. Let d(w) be the second derivative of h(w). Factor d(l).
-(l - 1)*(l + 2)/9
Let q(j) be the third derivative of -14*j**5/45 - 5*j**4/3 - 25*j**3/7 + 18*j**2 - 21*j. Solve q(k) = 0 for k.
-15/14