0225*d**4/4 - 2335*d**3/6 + 10*d**2 + 1781*d. What is m in s(m) = 0?
-4, 1/39
Let f be (-2)/12*28/((-1904)/918). Let -3 + 3/4*a**5 + 0*a - f*a**4 + 21/4*a**2 - 3/4*a**3 = 0. Calculate a.
-1, 1, 2
Let s(q) be the second derivative of -q**4/42 + 44*q**3/21 - 288*q**2/7 + 2449*q. What is t in s(t) = 0?
8, 36
Let h(m) = -85*m**3 - 7125*m**2 - 168030*m - 859285. Let u(j) = 5*j**3 + 419*j**2 + 9884*j + 50546. Let x(o) = -2*h(o) - 35*u(o). Factor x(n).
-5*(n + 7)*(n + 38)**2
Solve -1104*a**2 + 2723156 - 406272*a - 9711175 - a**3 - 11366624 - 31481389 = 0 for a.
-368
Let d = 89 + -83. Let z(r) = 122*r**2 - 69*r + 16. Let g(o) = -31*o**2 + 17*o - 4. Let t(c) = d*z(c) + 22*g(c). Factor t(m).
2*(5*m - 2)**2
Let b(k) be the second derivative of -k**5/150 - k**4/40 - k**3/30 - 41*k**2/2 - 26*k - 1. Let v(g) be the first derivative of b(g). Factor v(t).
-(t + 1)*(2*t + 1)/5
Let f(r) be the third derivative of 0*r + 1/480*r**5 + 5/24*r**3 - 103*r**2 + 7/192*r**4 - 2. Factor f(y).
(y + 2)*(y + 5)/8
Let g(b) = -65*b**4 + 3620*b**3 + 2938*b**2 + 588*b. Let p(x) = -67*x**4 + 3619*x**3 + 2936*x**2 + 588*x. Let v(r) = 4*g(r) - 5*p(r). Find z such that v(z) = 0.
-2/5, 0, 49
Suppose 0 = -1431*o + 1384 + 1478. Factor -2/7*m**3 + 8*m - 40/7 - 2*m**o.
-2*(m - 2)*(m - 1)*(m + 10)/7
Suppose 5*s = 4*s + 2. Suppose -s = -2*b, 2*b + 0*b = -5*j + 277. Factor 18 - 8*m - 28 - 57*m - j*m**2.
-5*(m + 1)*(11*m + 2)
Let n(p) be the second derivative of -25*p**4/12 - 2635*p**3/6 + 795*p**2 + p + 538. Factor n(b).
-5*(b + 106)*(5*b - 3)
Let x(b) be the first derivative of b**6/3 + 4*b**5 + 29*b**4/2 + 64*b**3/3 + 12*b**2 - 472. Solve x(z) = 0.
-6, -2, -1, 0
Let z(m) be the second derivative of 7/8*m**4 + 6 + 0*m**2 + 0*m**5 - 5*m - 1/60*m**6 - 5/3*m**3. Find v, given that z(v) = 0.
-5, 0, 1, 4
Solve -26/9*l**3 - 2/9*l**4 + 0 + 0*l + 0*l**2 = 0 for l.
-13, 0
Let k = -271 - -273. Factor -32*h + 5*h**k + 3*h**2 + 4*h**2 - 8*h**2 + 64.
4*(h - 4)**2
Let u(o) = -o**2 - o. Let x(m) be the second derivative of -m**4/12 + m**3/3 + 2*m**2 - 77*m. Suppose 3 = 4*t - 21. Let r(d) = t*u(d) - 3*x(d). Factor r(z).
-3*(z + 2)**2
Let f(i) = 4*i**3 + 2*i**2 - 5*i. Suppose 2*a = -2*a + 12. Let r(j) = 25*j**3 - j**2 - 28*j**a + 6*j - j**2. Let n(z) = -6*f(z) - 5*r(z). Factor n(d).
-d**2*(9*d + 2)
Let x(a) be the first derivative of -a**3/9 + 3*a**2/2 + 210*a + 2815. Factor x(w).
-(w - 30)*(w + 21)/3
Let j = 2086534/7302771 - 4/1043253. Factor -72/7*h - j*h**2 + 74/7.
-2*(h - 1)*(h + 37)/7
Find f, given that -11/2*f**2 - 1/4*f**3 + 273/2 + 125/4*f = 0.
-26, -3, 7
Factor 6*l**3 - 10*l**3 + 283*l**2 - 212*l**2 - 1628*l + 349*l**2 + 1212.
-4*(l - 101)*(l - 3)*(l - 1)
Let f(u) be the third derivative of -7/480*u**6 + 0*u**3 + 0 - 10*u**2 + u + 1/6*u**4 + 1/30*u**5 + 1/840*u**7. Factor f(s).
s*(s - 4)**2*(s + 1)/4
Suppose -119*v = -1993 + 1398. Let s(a) be the second derivative of 4/21*a**4 - 1/14*a**v - 2/7*a**2 - 1/21*a**3 + 17*a + 0. Factor s(t).
-2*(t - 1)**2*(5*t + 2)/7
Suppose -22*h + 4/5*h**5 + 222/5*h**2 - 222/5*h**4 + 0 + 106/5*h**3 = 0. Calculate h.
-1, 0, 1/2, 1, 55
Let i(h) = -4*h**2 + 132*h + 6. Let f be i(33). Suppose -5*w = 2*m - 10, 7*m - 5*m = 3*w - f. Factor -1/4*o + 1/4*o**3 + m*o**2 + 0.
o*(o - 1)*(o + 1)/4
Let y(s) be the second derivative of -s**5/20 - s**4/6 - s**3/6 + 54*s. Let z(t) = t**3 + t**2. Let v(g) = y(g) + 2*z(g). Factor v(h).
h*(h - 1)*(h + 1)
Let p be 1/(5/(620/62)). Solve 12/13*i**3 - 18/13*i**p + 0 - 28/13*i + 2/13*i**4 = 0.
-7, -1, 0, 2
Determine f so that 296/7*f + 0 - 156/7*f**2 - 144/7*f**3 + 4/7*f**4 = 0.
-2, 0, 1, 37
Let n(f) be the second derivative of -49*f - 5/4*f**4 + 0*f**2 + 11/4*f**3 + 0 - 3/40*f**5. Determine w, given that n(w) = 0.
-11, 0, 1
Let a = 49721/62155 - -3/62155. Suppose -3*g - 1 = -16. What is s in -4/5*s**2 + a - 6/5*s + 0*s**4 + 8/5*s**3 - 2/5*s**g = 0?
-2, -1, 1
Let w(z) be the first derivative of -z**4/32 - 115*z**3/24 - 217*z**2 - 1176*z - 6564. Solve w(o) = 0 for o.
-56, -3
Let u be (259/(-91) - -8) + (-4)/26. Let c(p) be the first derivative of 21 + 1/6*p**2 + 1/18*p**6 + 0*p**3 + 0*p - 1/6*p**4 + 0*p**u. Factor c(o).
o*(o - 1)**2*(o + 1)**2/3
Factor 26/11*p**2 - 90/11 - 2/11*p**3 - 62/11*p.
-2*(p - 9)*(p - 5)*(p + 1)/11
Let p = -489 - -485. Let f(c) = 8*c**2 + 78*c - 1518. Let o(d) = -5*d**2 - 78*d + 1519. Let y(j) = p*f(j) - 6*o(j). What is l in y(l) = 0?
39
Let y = -64893/5 - -194899/15. Determine p, given that 1/6*p**3 - 14 - 25/6*p**2 + y*p = 0.
2, 21
Let m = 540 - 340. Suppose 160*o + 0*o**3 - m - 10*o**3 + 12*o**3 + 38*o**2 = 0. What is o?
-10, 1
Suppose -18 = -36*w - 36 + 162. Solve 0 + 7/5*a**5 - 6/5*a**2 + 0*a - 17/5*a**3 + 16/5*a**w = 0.
-3, -2/7, 0, 1
Suppose 5*b + 4 = 3*t, 4*b + 2 = 10*t - 8*t. Let f(q) be the first derivative of 10 + 0*q**2 - 1/12*q**4 + 0*q - 1/3*q**t. Factor f(c).
-c**2*(c + 3)/3
Let d(m) be the first derivative of -13/22*m**2 - 12/11*m - 1/33*m**3 + 138. Let d(k) = 0. What is k?
-12, -1
Let 2385/2*w**3 + 5 - 2405/2*w**2 - 2385/2*w + 2395/2*w**4 = 0. Calculate w.
-1, 2/479, 1
Let j be (-619)/(-4) + (6/24 - 1). Factor -3174*t + 9621*t - 28*t**3 + 3150*t**2 + j*t**3 + 7053*t + 94*t**3 + 5*t**4 - 16875.
5*(t - 1)*(t + 15)**3
Suppose -556*q + 159 + 245 = -708. Let v = 14 - 14. Suppose v*j**q + 3/2*j**5 + 0*j + 3*j**3 + 0 + 11/2*j**4 = 0. Calculate j.
-3, -2/3, 0
Let s(i) = -i**3 - 2*i**2 + 2*i. Let j(n) = 10*n**3 + 105*n**2 - 1815*n + 1705. Let f(a) = j(a) + 5*s(a). Factor f(x).
5*(x - 11)*(x - 1)*(x + 31)
Let x(a) = 7*a**3 + 62*a**2 + a + 18. Let b(y) = -8*y**3 - 72*y**2 - y - 18. Let n(o) = 8*b(o) + 9*x(o). Factor n(k).
-(k - 1)*(k + 1)*(k + 18)
Let t be 72/20*(-30)/(-9)*1. Suppose -7*i - 25 = -t*i. Factor b**5 + 2*b**2 - 6*b**2 - 12*b**3 - 7*b**4 - i*b**4 - 5*b**5.
-4*b**2*(b + 1)**3
Let p(b) be the second derivative of -268*b - 151/2*b**3 + 161/4*b**4 + 51*b**2 + 2 - 3/10*b**6 - 123/20*b**5. Determine j so that p(j) = 0.
-17, 1/3, 1, 2
Factor 26 + 13780*p**4 + 244 - 13781*p**4 - 267*p**3 + 807*p**2 - 484*p - 325*p.
-(p - 1)**3*(p + 270)
Let c(l) be the third derivative of 1/24*l**6 - 5/3*l**3 + 0 + 5/4*l**5 + 35/24*l**4 - 2*l**2 - 9*l - 5/42*l**7. Find r, given that c(r) = 0.
-1, 1/5, 2
Let r(n) = -4*n**4 - 180*n**3 - 384*n**2 + 16*n. Let m(x) = -2*x**3 - 9*x**2 + 2*x. Let z(q) = 8*m(q) - r(q). Factor z(t).
4*t**2*(t + 2)*(t + 39)
Let p be 13/52 + 30/8. Suppose 0 = -3*y + 2*y + p*h + 22, -4*y - 12 = 4*h. Factor -l**3 + 203*l + 2 - 100*l - 98*l - l**4 + 3*l**y.
-(l - 2)*(l + 1)**3
Let u be 116/(-8)*(-2 + (-8 - -6)). Suppose -u*x = -51*x - 35. Let -12/5*c**x + 28/5*c**3 - 16/5 - 4*c**4 + 36/5*c**2 - 16/5*c = 0. Calculate c.
-2, -1, -2/3, 1
Let k be 24/(-48) + 413/14 - 26. Factor 40/3 + 26*q - 2/3*q**k + 12*q**2.
-2*(q - 20)*(q + 1)**2/3
Let q(c) be the second derivative of -c**4/6 + 4*c**3/3 + 117*c**2 + 718*c. Factor q(i).
-2*(i - 13)*(i + 9)
Let y(w) be the first derivative of w**5 + 30*w**4 + 315*w**3 + 1475*w**2 + 3000*w + 2877. Determine l, given that y(l) = 0.
-12, -5, -2
Let p(v) be the third derivative of v**7/840 + v**6/40 + 3*v**5/20 + 10*v**2 + 82. Let p(b) = 0. What is b?
-6, 0
Let b(k) = 8*k**2 + 532*k + 564. Let a(q) = -5*q**2 - 533*q - 558. Let o(s) = 4*a(s) + 3*b(s). Factor o(m).
4*(m - 135)*(m + 1)
Let r(l) = -2*l**2 - 2*l - 5. Let j(v) = 86*v**2 + 11*v + 15. Let i(x) = -j(x) - 3*r(x). Suppose i(t) = 0. Calculate t.
-1/16, 0
Let x(j) = -4*j**3 + 48*j**2 - 156*j - 372. Let k(d) = -9*d**3 + 97*d**2 - 335*d - 743. Let m(a) = 6*k(a) - 13*x(a). What is b in m(b) = 0?
-21, -3, 3
Let u = 137 - -700. Let o = -833 + u. Let -6*q**2 - 27*q**3 + 12*q + 0 - 33/2*q**o - 3*q**5 = 0. Calculate q.
-2, 0, 1/2
Let s(g) be the second derivative of -6*g**3 + 21/20*g**5 + 0 - 29*g - 1/10*g**6 - g**4 + 0*g**2. Suppose s(x) = 0. What is x?
-1, 0, 2, 6
Let a = 33169/43143 - 56/73. Let x = 1189/4137 - a. Factor -1/7*q**2 + 8/7 - x*q.
-(q - 2)*(q + 4)/7
Suppose 0 = -y + 11*y + 80. Let w be 11 + y/2 + 0. Find n, given that 21*n + w*n**2 - 16*n**2 + 27*n + 5*n**2 - 144 = 0.
6
Let b(a) be the third derivative of 0*a + 0*a**4 + 1/1008*a**8 + 0 + 38*a**2 + 1/180*a**6 - 1/210*a**7 + 0*a**5 + 0*a**3. Factor b(j).
j**3*(j - 2)*(j - 1)/3
Factor 1/4*s**4 - 11/4*s**3 + 37/4*s**2 - 45/4*s + 9/2.
(s - 6)*(s - 3)*(s - 1)**2/4
Le