actor -27525*w**4 + 2*w**2 + 0*w**3 + 27526*w**4 - 11*w**3 + 17*w**2 - 9*w.
w*(w - 9)*(w - 1)**2
Let x(z) be the third derivative of z**8/672 + z**7/140 - z**6/80 - 7*z**5/120 + z**4/8 - 5*z**2. What is j in x(j) = 0?
-3, -2, 0, 1
Let l be 0/1*(3 - (-42)/(-12)). Factor l*y**3 + 30*y**3 + 2188*y**2 + 10*y - 2223*y**2.
5*y*(2*y - 1)*(3*y - 2)
Let v(r) be the first derivative of 9 - 4*r - 5/2*r**2 + 2/3*r**3. Let c(t) = -t**2 + 2*t + 2. Let q(y) = -14*c(y) - 6*v(y). Find a, given that q(a) = 0.
-2, 1
Suppose -29*n + 390 = -4*k, 3*k - 31 = -5*n + 51. Let -26/11*m**2 + 6/11*m**3 + 2/11*m**k - 30/11*m + 0 = 0. Calculate m.
-5, -1, 0, 3
Suppose -5*r - 5*a = -15, 0*r - 5*r + a = -21. Suppose t**3 - 3*t**4 - 6*t**2 + 4*t**r + 0*t**4 + t**5 + 3*t**4 = 0. Calculate t.
-3, -2, 0, 1
Let z(f) be the second derivative of -2*f**7/63 - 4*f**6/45 + 3*f**5/5 + 22*f**4/9 - 8*f**3/9 - 16*f**2 - f - 1194. Determine t so that z(t) = 0.
-2, 1, 3
Let k(s) = -2*s**4 - 175*s**3 + 298*s**2 + 175*s - 177. Let m(i) = i**4 + 87*i**3 - 140*i**2 - 87*i + 88. Let y(a) = -3*k(a) - 7*m(a). Factor y(o).
-(o - 1)**2*(o + 1)*(o + 85)
Let r(i) be the first derivative of 3*i**4/10 - 92*i**3/5 + 267*i**2/5 - 264*i/5 - 1947. Solve r(j) = 0 for j.
1, 44
Let o(s) be the first derivative of -s**5/5 + 1021*s**4/4 + 1022*s**3/3 - 809. Determine d so that o(d) = 0.
-1, 0, 1022
Suppose -3/5*k**5 + 276/5*k**2 + 33/5*k**4 + 96/5 - 138/5*k**3 - 264/5*k = 0. Calculate k.
1, 2, 4
Let a(d) be the first derivative of 14/3*d**3 + 15 - 14*d + 1/3*d**2 - 1/6*d**4. Factor a(q).
-2*(q - 21)*(q - 1)*(q + 1)/3
Let t(n) = 10*n**4 - 10*n**3 - 165*n**2 - 150*n. Let l = -347 + 342. Let k(j) = -5*j**4 + 5*j**3 + 82*j**2 + 75*j. Let h(a) = l*k(a) - 3*t(a). Factor h(w).
-5*w*(w - 5)*(w + 1)*(w + 3)
Let b(j) be the second derivative of 2 - 1/2*j**4 - 25/2*j**2 + 9*j - 20/3*j**3 - 1/30*j**6 + 2/5*j**5. Determine r so that b(r) = 0.
-1, 5
Let l(y) be the second derivative of -1/54*y**4 + 0*y**2 + 4/27*y**3 + y - 1. Find c, given that l(c) = 0.
0, 4
Let v = -1983 + 1986. Let z(q) be the first derivative of -1/21*q**v + 1/14*q**2 + 2/7*q - 3. Find y such that z(y) = 0.
-1, 2
Let u(z) = -5*z**2 + 6*z + 9. Let t(k) = k - 1. Suppose 12*l + 43 = 31. Let w(h) = l*t(h) + u(h). Factor w(p).
-5*(p - 2)*(p + 1)
Let l(t) = -8*t**2 + 66*t - 102. Let j(h) = 6*h**2 - 65*h + 121. Let q(f) = -6*j(f) - 5*l(f). Solve q(m) = 0 for m.
-18, 3
Let a(n) be the first derivative of n**6/12 - 11*n**5/10 - 7*n**4 - 10*n**3 + 2096. Factor a(g).
g**2*(g - 15)*(g + 2)**2/2
Let u(x) be the third derivative of x**5/90 + 11*x**4/36 - 14*x**3/3 - 1799*x**2 + 3*x. Factor u(i).
2*(i - 3)*(i + 14)/3
Let b(i) be the first derivative of i**5/40 + i**4/12 - i**3/12 - i**2/2 - 77*i + 95. Let h(p) be the first derivative of b(p). Factor h(y).
(y - 1)*(y + 1)*(y + 2)/2
Let g(y) be the third derivative of 11*y**6/240 + y**5 + 33*y**4/16 - 5*y**3/6 + 3*y**2 - 626*y - 2. Factor g(f).
(f + 1)*(f + 10)*(11*f - 1)/2
Let m(f) be the second derivative of 9/7*f**2 - 1/42*f**4 - 43*f + 2 + 13/21*f**3 - 1/14*f**5. Factor m(a).
-2*(a + 1)**2*(5*a - 9)/7
Factor -124/13 + 2/13*g**2 - 58/13*g.
2*(g - 31)*(g + 2)/13
Let z(j) = 9*j - 294 - 7*j + 23*j + 9*j - 7*j. Let a be z(11). Factor -8/7*w**a + 16/7*w - 4/7*w**4 + 12/7*w**2 - 16/7.
-4*(w - 1)**2*(w + 2)**2/7
Let n(l) be the second derivative of -21 - 8/23*l**2 + 2/69*l**3 + 3*l + 1/138*l**4. Let n(t) = 0. Calculate t.
-4, 2
Let w(d) be the first derivative of -2*d**6/3 - 32*d**5/5 - 19*d**4 - 16*d**3 + 5806. Determine r so that w(r) = 0.
-4, -3, -1, 0
Factor -j**3 - 65*j - 23*j**2 + 2 + 141*j - 54.
-(j - 2)*(j - 1)*(j + 26)
Let v(z) = -8*z**2 + 16*z - 16. Let g(w) = 17 - 16*w + 77*w**2 - 29*w**2 - 37*w**2. Let m(d) = 4*g(d) + 6*v(d). Factor m(x).
-4*(x - 7)*(x - 1)
Let h(u) be the second derivative of -65*u**4/48 - 35*u**3/24 + 15*u**2/4 - 395*u. Solve h(i) = 0.
-1, 6/13
Let t = -2930 - -55713/19. Let l = 281/57 - t. Factor -4/3*f - l*f**2 + 4/3.
-4*(f + 1)*(2*f - 1)/3
Let y(f) be the third derivative of 29/60*f**6 + 8/105*f**7 - 187*f**2 + 14/15*f**5 + 1/12*f**4 + 0*f - 2*f**3 + 0. Find j such that y(j) = 0.
-2, -1, 3/8
Let 12/7*i**4 - 1737/7*i + 324/7 + 1884/7*i**2 - 69*i**3 = 0. Calculate i.
1/4, 1, 3, 36
What is z in 2/3*z**2 + 1664/3 - 424/3*z = 0?
4, 208
Let x be 5/(-50)*(18/(-12) - 2074/68). Factor -4/5 - 16/5*j**3 - 24/5*j**2 - x*j - 4/5*j**4.
-4*(j + 1)**4/5
Suppose -5*x + g - 6*g - 45 = 0, 0 = -4*x + g - 36. Let w be 6/(2/((-6)/x)). Factor -w*t + 6*t + 4*t**2 + 0*t - 8 + 0*t**2.
4*(t - 1)*(t + 2)
Let h(s) = 3*s**5 + s**4 - s**3 + 2*s**2 - s - 2. Let d(i) = 4*i**5 + 33*i**4 + 16*i**3 - 8*i**2 - 5*i - 10. Let u(t) = -4*d(t) + 20*h(t). Solve u(v) = 0.
-1, 0, 6/11, 3
Let t(l) be the first derivative of l**6/18 - 7*l**5/15 - 13*l**4/12 + 43*l**3/9 - 4*l**2 + 664. Find z such that t(z) = 0.
-3, 0, 1, 8
Let w be (-6325)/113850 + ((-130)/36)/(-5). What is j in 0 + 0*j**2 - w*j**5 - 2/3*j**4 + 0*j**3 + 0*j = 0?
-1, 0
Find n such that -4*n - 82/7*n**2 + 6/7*n**3 + 0 = 0.
-1/3, 0, 14
Suppose 4*k**2 - 83*k - 2*k**2 - 119*k - 570 + 3*k**2 + 27*k = 0. What is k?
-3, 38
Let b(h) = -4*h**4 + 24*h**3 + 107*h**2 + 183*h + 64. Let g(u) = u**3 + 3*u - 1. Let r(k) = 3*b(k) - 24*g(k). Suppose r(y) = 0. What is y?
-3/2, -1, 8
Let n(v) be the second derivative of 31 - 1/15*v**6 - 4*v**2 + 3/10*v**5 - 2*v + 5/6*v**4 - v**3. Factor n(m).
-2*(m - 4)*(m - 1)*(m + 1)**2
Let s = 7789 + -7784. Let u(j) be the first derivative of -3/14*j**2 + 0*j + 1/7*j**3 + 3/28*j**4 - 26 - 3/35*j**s. Factor u(t).
-3*t*(t - 1)**2*(t + 1)/7
Let o(x) be the first derivative of x**6/4 - 141*x**5/10 - 3*x**4/4 + 47*x**3 + 3*x**2/4 - 141*x/2 + 735. Suppose o(f) = 0. Calculate f.
-1, 1, 47
Solve 0 + 0*u**2 + 6/5*u**5 + 72/5*u**4 + 0*u**3 + 0*u = 0 for u.
-12, 0
Let y be (-1)/4 + -2 + 4/16. Let x be (1/12*y)/(4/(-8)). Determine s so that 1/6*s**2 + x + 1/2*s = 0.
-2, -1
Let d(l) be the first derivative of -3*l**4 - 86*l**3/3 + 61*l**2 + 196*l - 3649. Determine k so that d(k) = 0.
-49/6, -1, 2
Let d be (-100)/30*12/(-20). Let z(g) be the first derivative of -4/11*g + 4/55*g**5 + 7/11*g**2 - d - 16/33*g**3 + 1/11*g**4 - 1/33*g**6. Solve z(r) = 0.
-2, 1
Let a(s) be the second derivative of s**7/14 - 37*s**6/10 + 99*s**5/20 + 113*s**4/4 - 91*s**3 + 108*s**2 + 9534*s. Factor a(v).
3*(v - 36)*(v - 1)**3*(v + 2)
Suppose 12*v - 2626 = 3710. Let d = -528 + v. Suppose 3/2*c**3 + 3*c**2 + d - 9/2*c = 0. What is c?
-3, 0, 1
Let p(c) be the first derivative of c**5 - 435*c**4/2 + 575*c**3 - 430*c**2 - 2623. Suppose p(a) = 0. Calculate a.
0, 1, 172
Let q(w) be the first derivative of -59 - 1/6*w**4 + 4/3*w**3 + 0*w**2 + 0*w. Solve q(p) = 0.
0, 6
Let y = -79 + 82. Suppose -5*k + 5 = -4*m + 11, y*k = 5*m - 14. Solve 16*j**2 + 4*j**4 + 9*j - j**4 + 15*j**3 - 3*j**2 + 8*j**k = 0 for j.
-3, -1, 0
Let s(j) = 10*j**2 + 90*j - 845. Let n(h) = -5*h**2 - 49*h + 423. Let o(x) = -5*n(x) - 3*s(x). Factor o(q).
-5*(q - 7)*(q + 12)
Suppose 20*f - 14*f = 120. Suppose 6 = 23*t - f*t. Factor 26*w + 4 - 49/2*w**3 + 35*w**t.
-(w - 2)*(7*w + 2)**2/2
Let z(y) = y**4 - y**3 + 4*y**2 - 3*y + 1. Let a(i) = 4*i**4 - 10*i**3 - 36*i**2 + 459*i - 861. Let o(l) = 4*a(l) - 12*z(l). Factor o(x).
4*(x - 6)**2*(x - 3)*(x + 8)
Let x be 24/(-20)*(-200)/(-24). Let l be (-2)/x*(-5)/(-4). Factor 0 - 1/4*d**3 + d**2 + d - l*d**4.
-d*(d - 2)*(d + 1)*(d + 2)/4
Suppose -226*a - 547*a - 346*a = 0. Determine q, given that a - 100/9*q + 19/9*q**3 + 80/9*q**2 + 1/9*q**4 = 0.
-10, 0, 1
Let m(t) be the third derivative of -80*t**2 + 0*t + 0 + 9*t**3 - 7/3*t**4 + 1/30*t**5. Let m(a) = 0. What is a?
1, 27
Let s(g) be the third derivative of g**5/120 - 33*g**4/16 + 97*g**3/6 - 124*g**2 + 1. Factor s(b).
(b - 97)*(b - 2)/2
Suppose -3*h + 26 = -2*w - 19 + 6, 0 = 3*h - 39. Find n, given that 8/7*n**2 + 6/7*n**3 - 2/7*n**4 + w + 0*n = 0.
-1, 0, 4
Let z(y) be the third derivative of 13/105*y**7 + 17/30*y**5 + 2/5*y**6 + 1/3*y**4 + 0*y**3 + 0 + 0*y + 1/84*y**8 + 38*y**2. Find t such that z(t) = 0.
-4, -1, -1/2, 0
Suppose -3*h - y - 2 = 0, 0 = -5*h + 472*y - 473*y + 2. Let f(t) be the first derivative of -2/27*t**3 - 1/3*t**h + 30 + 8/9*t. Factor f(l).
-2*(l - 1)*(l + 4)/9
Let s = 11477/56 + -1432/7. Let q(t) be the first derivative