-16*v**5 - 17*v**5 - 534 - 1084*v**2 + 47*v**5 + 84*v**4 + 94*v**4 + 1430*v - 16*v**5 + 12*v**3.
-2*(v - 89)*(v - 1)**3*(v + 3)
Solve 3/4*g**2 + 11163123/4 + 5787/2*g = 0.
-1929
Let g(a) = 50*a**3 + 471*a**2 - 11080*a + 20261. Let b(s) = -9*s**3 - 94*s**2 + 2215*s - 4052. Let u(d) = 11*b(d) + 2*g(d). Factor u(v).
(v - 45)**2*(v - 2)
Let f be 2/12 + (-13)/52 + (-28)/(-48). Let d(k) be the first derivative of 75/2*k - 15/2*k**2 + f*k**3 + 2. Factor d(i).
3*(i - 5)**2/2
Suppose 6*j = 5 + 7. Let d be (j/(-1) + -1)/((-6)/4). Factor s**d + 3*s + 0*s - 3*s - s**4 + s - s**3.
-s*(s - 1)*(s + 1)**2
Suppose 18*u + 7 = 43. Factor 34*b**5 + 31*b**5 - 102*b**5 - 8*b - 18*b**u + 38*b**5 - 11*b**3.
b*(b - 4)*(b + 1)**2*(b + 2)
Let z = -3268 + 3288. Let j(o) be the third derivative of 0 + z*o**2 + 0*o**3 + 1/1008*o**8 + 0*o - 1/72*o**4 + 0*o**6 - 1/90*o**5 + 1/315*o**7. Factor j(s).
s*(s - 1)*(s + 1)**3/3
Let n be 0 + 29 + -2 + -9 + 6. Solve -n + 4*g**3 - 28*g + 18 + 6 + 24*g**2 = 0 for g.
-7, 0, 1
Let q(r) be the third derivative of 0 + 0*r**3 + 0*r - 1/60*r**6 - 1/6*r**4 + 50*r**2 + 1/10*r**5. Factor q(h).
-2*h*(h - 2)*(h - 1)
Let w(m) = 616*m**4 - 4420*m**3 + 3972*m**2 - 264*m - 32. Let d(z) = -56*z**4 + 402*z**3 - 361*z**2 + 24*z + 3. Let q(s) = 32*d(s) + 3*w(s). Factor q(t).
4*t*(t - 6)*(t - 1)*(14*t - 1)
Let o(h) be the third derivative of 0*h + 0*h**3 - h**2 - 3/32*h**4 + 7/160*h**5 + 0. Factor o(p).
3*p*(7*p - 6)/8
Let z be -1*6/12*-8. Find h such that -3*h**3 - 60*h - 509*h**2 + 461*h**2 - z*h**4 + 7*h**4 = 0.
-2, 0, 5
Let y be 2*(5 - -1 - (-39 - (-1566)/36)). Solve 0 + 4/17*s + 6/17*s**5 - 22/17*s**2 - 26/17*s**4 + 38/17*s**y = 0 for s.
0, 1/3, 1, 2
Let -2892/5*z + 249*z**3 - 144 - 948/5*z**2 + 21/5*z**4 = 0. What is z?
-60, -1, -2/7, 2
Let w = -1136 + 1140. Let y(b) = 2*b**2 - 9*b + 4. Let f be y(w). Find q such that -3/2*q**4 - 1/2*q**5 - 1/2*q**3 + 3/2*q**2 + q + f = 0.
-2, -1, 0, 1
Let x(m) = -133*m + 665. Let f be x(5). Factor 4/7*d**3 + f + 0*d**2 + 0*d.
4*d**3/7
Let a(t) be the first derivative of 7*t**5/10 + t**4/9 - 28*t**3/3 - 8*t**2/3 - 63*t + 4. Let g(s) be the first derivative of a(s). Find r such that g(r) = 0.
-2, -2/21, 2
Let i(c) = -15*c + 6. Let r be (-2 - -1) + 12/(-4 + 0). Let j be 70/9 - ((-190)/45 - r). Let v(w) = w**2 - 44*w + 19. Let b(y) = j*i(y) - 3*v(y). Factor b(f).
-3*(f - 3)*(f - 1)
Suppose 0 = -20*j + 24*j - 3456. Let l = j - 12958/15. Suppose l*s**3 + 16/15 - 8/15*s - 4/15*s**2 = 0. Calculate s.
-2, 2
Let p(j) = -j**4 - j**3 - 2*j**2. Let b(k) be the first derivative of -9*k**5/5 - 5*k**4/4 - 6*k**3 - 3. Let r(n) = 5*b(n) - 40*p(n). Factor r(y).
-5*y**2*(y - 2)*(y - 1)
Determine s, given that 54*s**2 - 54 + 3/5*s**3 - 3/5*s = 0.
-90, -1, 1
Let t(d) be the third derivative of d**7/1260 - 97*d**5/360 + 25*d**4/12 + 11*d**3 + 315*d**2 - 1. Factor t(c).
(c - 6)**2*(c + 1)*(c + 11)/6
Let l(s) = s**3 - 28*s**2 + 98*s - 8. Let m be l(4). Let j(a) be the second derivative of -1/60*a**4 - 15*a + m - 3/10*a**2 - 2/15*a**3. What is p in j(p) = 0?
-3, -1
Let y(i) be the third derivative of 1/20*i**5 + 0 - 1/210*i**7 + 0*i + 2/3*i**3 + 1/60*i**6 + 54*i**2 - 1/3*i**4. Find a, given that y(a) = 0.
-2, 1, 2
Solve -3824/13*i - 1827872/13 - 2/13*i**2 = 0.
-956
Let n(u) be the third derivative of -u**5/12 + 5*u**4/6 - 10*u**3/3 - 3851*u**2. What is t in n(t) = 0?
2
Let n(b) be the first derivative of 2*b**3/9 - 67*b**2 - 812*b/3 - 6015. Solve n(s) = 0.
-2, 203
Determine j so that -1069156 - 11220*j**4 + 217140*j + 210*j**3 + 11219*j**4 - 14602*j**2 + 1509*j**2 = 0.
11, 94
Let c be (-2 - 1)/((-122)/8 - -16). Let a be 9/63*(3 - 2/c). Factor a + 9/2*f**2 + 2*f**3 + 3*f.
(f + 1)**2*(4*f + 1)/2
Let z(o) be the first derivative of -2*o**3/15 - 319*o**2/5 - 636*o/5 - 2027. Factor z(d).
-2*(d + 1)*(d + 318)/5
Let x = -1977263/3 - -659088. Find b such that 10/3*b**3 + 5/3 + 2/3*b**2 + x*b**5 - 7/3*b**4 - 11/3*b = 0.
-1, 1, 5
Suppose -8*x + 2 - 33 + 47 = 0. Solve 8*m**x - 2/3*m**5 + 0 + 4/3*m**3 - 6*m - 8/3*m**4 = 0 for m.
-3, 0, 1
Let y(m) = m**2 - 5163*m + 6446511. Let r(c) = -17*c - 2. Let l(f) = -5*r(f) + y(f). Let l(u) = 0. Calculate u.
2539
Let a(p) = -23*p**2 + 2054*p + 214245. Let q(f) = 16*f**2 - 2058*f - 214245. Let m(i) = -3*a(i) - 4*q(i). Find h such that m(h) = 0.
-207
Find b, given that 54*b - 540/7 + 2/7*b**3 - 72/7*b**2 = 0.
3, 30
Factor 0 - 1/3*a**3 + 7/6*a**2 - 5/6*a.
-a*(a - 1)*(2*a - 5)/6
Let t be ((-6)/(-5))/(12/40). Let y = 2363 + -2359. Let 11*f**y + 2*f**3 + 6*f**t - f**3 - 18*f**4 = 0. What is f?
0, 1
Suppose 7*p - 162 = 13. Let t(f) = -f + 27. Let n be t(p). Factor 6 - 2 - 9 + 6*c - c**n.
-(c - 5)*(c - 1)
Let o(q) be the second derivative of -q**4/24 - 493*q**3/12 + 4389*q. Factor o(j).
-j*(j + 493)/2
Let a be (0 - (-22)/(-4)) + ((-370)/10 - -43). Let c(p) be the second derivative of a*p**4 + 0*p**2 + 0 + 4*p - 3/20*p**5 + 0*p**3. Factor c(y).
-3*y**2*(y - 2)
Determine g so that -204/7*g**2 - 4/7*g**3 + 102/7*g**4 + 102/7 + 2/7*g + 2/7*g**5 = 0.
-51, -1, 1
Factor -15/2*u - 9/2*u**2 - 3 + 3/2*u**3 + 3/2*u**4.
3*(u - 2)*(u + 1)**3/2
Find l such that 16/5 + 2/5*l**2 - 18/5*l = 0.
1, 8
Let n = -12989 - -13133. Let a(s) be the first derivative of 1/3*s**3 + 12*s**2 - 43 + n*s. Factor a(u).
(u + 12)**2
Let y(z) be the third derivative of -z**8/84 + 4*z**7/105 + 8*z**6/5 + 122*z**5/15 + 113*z**4/6 + 24*z**3 - 130*z**2. Factor y(i).
-4*(i - 9)*(i + 1)**3*(i + 4)
Let y be 9/6*(-15 - 4/(-4)). Let w be -5*(-61)/175 - (-3)/y. Solve -w*g + 7/5 + 1/5*g**2 = 0.
1, 7
Let x(a) be the second derivative of -a**6/180 + 11*a**5/120 + 7*a**4/72 - 71*a**3/36 - 11*a**2/2 - 3*a + 30. Solve x(r) = 0 for r.
-2, -1, 3, 11
Let t = 491680 + -5408416/11. Factor 40/11*d**3 + 0*d**2 + t*d**4 + 0 + 6/11*d**5 + 0*d.
2*d**3*(d + 10)*(3*d + 2)/11
Let y(n) be the first derivative of 0*n + 5/6*n**4 + 32 + 1/180*n**6 + 7/60*n**5 + 0*n**2 - 31/3*n**3. Let h(q) be the third derivative of y(q). Factor h(x).
2*(x + 2)*(x + 5)
Let r(c) = -26*c**2 + 12*c**3 - 25 - 26 + 49 + 21*c. Let v(w) = 6*w**3 - 13*w**2 + 10*w - 1. Let u(x) = -2*r(x) + 5*v(x). Factor u(k).
(k - 1)**2*(6*k - 1)
Let g(z) = -5*z**4 + 485*z**3 - 475*z**2 - 535*z + 480. Let r(l) = l**4 - 81*l**3 + 79*l**2 + 89*l - 80. Let w(b) = 4*g(b) + 25*r(b). Let w(m) = 0. What is m?
-1, 1, 16
Let q = -7 + 2. Let b(a) = a**3 + a. Let n(r) = -57*r**3 + 112*r**2 + 135*r - 24. Let m(o) = q*b(o) - n(o). Factor m(u).
4*(u - 3)*(u + 1)*(13*u - 2)
Suppose 2*t - 228 = 4*f, 3*f = 5*t - 548 - 15. Factor 99*q - 7*q**2 - 3*q + t - 4*q**3 + 19*q**2.
-4*(q - 7)*(q + 2)**2
Find y such that -13952*y**2 - 1141*y - 108 + 4129*y - 6715*y**2 = 0.
6/83
Let b(r) be the second derivative of 0*r**2 - 1/15*r**3 - 1/60*r**4 - 3*r - 9. Factor b(n).
-n*(n + 2)/5
Let f(l) = 8*l**3 + 47*l**2 + 5*l + 15. Let c(x) = 22*x**3 + 138*x**2 + 14*x + 42. Let y(h) = 5*c(h) - 14*f(h). Factor y(v).
-2*v**2*(v - 16)
Factor -1773*j + 13983*j**3 - 1428 - 13980*j**3 - 221*j**2 - 121*j**2.
3*(j - 119)*(j + 1)*(j + 4)
Let w(j) be the second derivative of -j**4/28 - j**3/7 + 12*j**2/7 + 500*j. Find y, given that w(y) = 0.
-4, 2
Let f = 454757 + -454753. Suppose -1/4*l**5 + 0 + 1/4*l**2 + 3/4*l**f - 3/4*l**3 + 0*l = 0. What is l?
0, 1
Let c = 5136 - 5136. Let k(s) be the third derivative of 22*s**2 + 0*s**3 - 1/105*s**7 + c*s**6 + 1/6*s**4 + 0 + 0*s + 1/10*s**5. Find d, given that k(d) = 0.
-1, 0, 2
Let g = 58 - 55. Let l(i) = 2*i**3 - 4*i**2 - 5*i + 1. Let u be l(g). Suppose r**2 - 3*r**3 + 18*r**u - 19*r**4 + 3*r + 3 - 3 = 0. What is r?
-3, -1, 0, 1
Let a(m) be the third derivative of m**5/300 - m**4/24 - 88*m**3/15 + 2*m**2 - 53*m - 20. Solve a(v) = 0 for v.
-11, 16
What is w in -36/7 - 492/7*w**2 + 590/7*w - 62/7*w**3 = 0?
-9, 2/31, 1
Solve -16/13 + 36/13*o + 6/13*o**3 + 34/13*o**2 = 0 for o.
-4, -2, 1/3
Suppose -3*s - m - 3 = -5, -s + 18 = -4*m. Factor 53488*a - 53452*a + 3*a**4 + 16*a**s - 21*a**3 - 4*a**2.
3*a*(a - 6)*(a - 2)*(a + 1)
Let w(m) be the third derivative of -m**5/105 - 263*m**4/42 + 176*m**3/7 + 4426*m**2. Factor w(l).
-4*(l - 1)*(l + 264)/7
Let d(c) = -20*c**3 - 146*c**2 - 857*c - 653. Let r(h) = 3*h**3 + 25*h**2 + 143*h + 109. Let q(m) = 4*d(m) + 26*r(m). Factor q(o).
-2*(o - 37)*(o + 1)*(o + 3)
Suppose 4*r + 5*p - 103 = 0, 3*p - 8*p = 