 4*s + 4. Let c(d) = -5*d**5 - 4*d**4 - 19*d**2 - 19*d + 19. Let x(t) = -8*c(t) + 38*h(t). Solve x(l) = 0 for l.
0, 3
Let s(c) be the first derivative of 0*c**2 - 6*c**5 + 5/6*c**6 + 45/4*c**4 + 10 + 0*c - 20/3*c**3. Suppose s(y) = 0. What is y?
0, 1, 4
Let r(p) = 2*p**3 + 1972*p**2 + 3714*p + 1968. Let a(o) = -4*o**2 - o - 4. Let w(c) = 32*a(c) + r(c). Find i, given that w(i) = 0.
-920, -1
Let c(g) be the second derivative of 1/4*g**5 + 26620*g**2 + 0 + 60*g + 55/2*g**4 + 1210*g**3. Factor c(b).
5*(b + 22)**3
Let a(p) be the third derivative of 0*p + 1/840*p**6 - 10 - 1/168*p**4 + p**2 + 0*p**3 - 1/420*p**5 + 1/1470*p**7. Factor a(j).
j*(j - 1)*(j + 1)**2/7
Let d = -1574 - -1581. Let p(x) be the third derivative of -8*x**2 + 0*x**6 + 0*x**3 + 1/1155*x**d + 0 + 0*x + 0*x**5 - 1/1848*x**8 + 0*x**4. Factor p(v).
-2*v**4*(v - 1)/11
Factor -2538 + 18*u**2 - 14*u**2 + 766 - 1768*u.
4*(u - 443)*(u + 1)
Solve 0 + 51/2*r**3 - 33*r**2 + 21/2*r - 3*r**4 = 0.
0, 1/2, 1, 7
Let f(s) be the first derivative of s**5 + 85*s**4/2 + 160*s**3/3 - 85*s**2 - 165*s - 349. Factor f(j).
5*(j - 1)*(j + 1)**2*(j + 33)
Let f(h) = 21*h**3 - 15*h**2 - 78*h + 27. Let n be 4 + 11/((-33)/18) + 4. Let l(o) = -3*o**3 + 2*o**2 + 11*o - 4. Let t(w) = n*f(w) + 15*l(w). Factor t(b).
-3*(b - 1)**2*(b + 2)
Let y(r) be the first derivative of -3*r**4/4 + 102*r**3 + 621*r**2/2 + 312*r + 434. Factor y(h).
-3*(h - 104)*(h + 1)**2
Let p(y) be the second derivative of 2*y**6/75 + 47*y**5/25 + 9*y**4 + 266*y**3/15 + 88*y**2/5 - 1263*y. Solve p(b) = 0.
-44, -1
Let g(s) be the first derivative of s**3/3 - s + 75. Let m(p) = p**3 - 16*p**2 + 18*p + 5. Let u(j) = 10*g(j) + 2*m(j). Let u(k) = 0. Calculate k.
0, 2, 9
Factor 6/5*n**3 - 8/5*n**2 + 0*n**4 + 0 + 0*n - 1/10*n**5.
-n**2*(n - 2)**2*(n + 4)/10
Suppose 5*j + 24 = 44. Suppose -550*g**4 - 592*g**3 - 64*g - 324*g**5 - 926*g**j + 496*g**2 + 324 - 324 = 0. What is g?
-4, -1, 0, 2/9
Suppose 5*p - 3*z - 39 = 0, -3*p + 23*z = 25*z - 31. Let y(u) be the first derivative of -2/15*u**5 - p - 4/3*u**3 + 2/3*u**4 + 4/3*u**2 - 2/3*u. Factor y(l).
-2*(l - 1)**4/3
Let 36*m**3 - 930 - 1115*m - 236*m**2 - 68*m**3 + 27*m**3 + 46*m**2 = 0. Calculate m.
-31, -6, -1
Suppose 11*v = 8*v + 6. Let f = 16/21 + -1/3. Let 3/7*o**v + f*o**3 - 3/7*o + 0 - 3/7*o**4 = 0. Calculate o.
-1, 0, 1
Let x be 85/15 - (-2)/(-3). Let o be (-1)/(((-25)/10)/x). Factor -21 - 3*m + o*m**2 - 2*m**3 + 5*m**3 + 19.
(m - 1)*(m + 1)*(3*m + 2)
Let x = 60 + -26. Let o = 31 + -29. Factor 2*y + x*y**2 - 2*y**4 + 7*y**3 - 76*y**2 + 4*y**4 + 49*y**o.
y*(y + 1)*(y + 2)*(2*y + 1)
Let g = -1 - -2. Let l(z) = 12. Let b(v) = 73. Let i(m) = b(m) - 6*l(m). Let a(f) = 5*f**2 + 5*f - 12. Let n(x) = g*a(x) + 2*i(x). Factor n(d).
5*(d - 1)*(d + 2)
Let o(v) be the second derivative of 0 + 138*v + 1/27*v**3 - 1/30*v**5 + 0*v**2 + 1/27*v**4. Suppose o(d) = 0. Calculate d.
-1/3, 0, 1
Let o(s) = 25*s**2 + 175*s + 205. Let c(p) = -p + 41. Let l(n) = 5*c(n) - o(n). Let l(a) = 0. Calculate a.
-36/5, 0
Let i(v) = -6*v - 63. Let a be i(-11). Let -1 + 12*m - 3*m**3 + m**2 - a + 0 = 0. Calculate m.
-2, 1/3, 2
Determine w so that -80*w + 520 - 33*w - 75376*w**2 + 37686*w**2 - 137*w + 37685*w**2 = 0.
-52, 2
Let h(l) = -l**2 + 169*l - 6384. Let i be h(57). Find z such that i*z**2 + 2/3*z**3 + 0 - 8/3*z = 0.
-2, 0, 2
Let p(a) be the second derivative of -7*a**4/30 + 1103*a**3/5 + 946*a**2/5 + 49*a + 1. Factor p(v).
-2*(v - 473)*(7*v + 2)/5
Let s be (-6 - 144/(-27))*30/2. Let d be (-20)/s*3/(30/8). Suppose -d*m**2 - 2/5*m**3 + 0 - 8/5*m = 0. Calculate m.
-2, 0
Let x(g) = 8*g**3 + 45*g - 45. Let z be x(1). Let n(i) be the second derivative of 0 - 1/16*i**3 + z*i + 9/16*i**2 + 3/160*i**5 - 3/32*i**4. Factor n(y).
3*(y - 3)*(y - 1)*(y + 1)/8
Suppose -4*i + 4*f + 11 = -5, -4*i - 4*f = -8. Suppose 5*s = -25, 0*c + s + 9 = 2*c. Factor -c*y**2 + y**5 + 2*y**4 + 0*y**4 + 43*y**3 - 44*y**i.
y**2*(y - 1)*(y + 1)*(y + 2)
Let f(h) = -91*h - 526. Let s be f(-22). Let b = s - 1471. Solve -50/3*i + b*i**2 - 5/3*i**4 + 25/6*i**3 + 20/3 = 0.
-2, 1/2, 2
Let y = 226641 - 226639. Factor 0 - 11*g - 1/2*g**y.
-g*(g + 22)/2
Factor 5/4*f**2 - 190*f + 7220.
5*(f - 76)**2/4
Let u(f) be the third derivative of f**6/240 - f**5/12 + 2*f**4/3 - 8*f**3/3 - 767*f**2. Factor u(y).
(y - 4)**2*(y - 2)/2
Let 8/3 - 2/3*u**3 - 2/3*u**2 + 8/3*u = 0. Calculate u.
-2, -1, 2
Determine o, given that 389/2*o**3 - 1653*o + 11/2*o**2 + 1/2*o**5 - 1444 - 39/2*o**4 = 0.
-2, -1, 4, 19
Let n(v) be the first derivative of 3*v**5/5 - 39*v**4/4 - 30*v**3 + 750*v**2 + 3000*v - 3216. Factor n(c).
3*(c - 10)**2*(c + 2)*(c + 5)
Let y(p) = p**2 - 2*p + 6. Let n(a) = -a**2 + 222*a + 364. Let m(i) = n(i) + 6*y(i). Solve m(h) = 0 for h.
-40, -2
Let g(m) = m**2 - 22*m - 26. Let z(q) = 22*q + 28. Let p(i) = 2*g(i) + 3*z(i). Let s(a) = -a**2 + a + 2. Let o(f) = p(f) - s(f). Find w such that o(w) = 0.
-5, -2
Let b(n) = -13 + 4 + 8 + 4*n**2 - 3*n**2. Let t be (0 + 2)*4/(-8). Let g(u) = -12*u**3 - 18*u**2 - 3*u + 3. Let z(r) = t*g(r) - 3*b(r). Factor z(l).
3*l*(l + 1)*(4*l + 1)
Let o(y) be the third derivative of y**5/360 + 223*y**4/24 + 49729*y**3/4 - 2451*y**2. Factor o(t).
(t + 669)**2/6
Let o(z) be the third derivative of 3/2*z**4 + 2*z**3 - 3/70*z**7 + 7*z**2 + 0 - 1/20*z**6 - 3*z + 9/20*z**5. Find i such that o(i) = 0.
-1, -2/3, 2
Suppose -2*s - 4*g = -114, 9 = s + g - 47. Let x be (s/(-2))/(-11)*(-2)/(-1). Factor -p**3 + 0*p**4 + 0 + 0*p**2 + 1/2*p + 1/2*p**x.
p*(p - 1)**2*(p + 1)**2/2
Let h(f) be the third derivative of -f**5/120 - 37*f**4/48 - 31*f**3/2 + 33*f**2 + 6. Suppose h(j) = 0. Calculate j.
-31, -6
Solve -4608648/7 - 2/7*k**2 + 6072/7*k = 0.
1518
Let a = 59 + -63. Let z be 13/4 + (1 + a)/12. What is n in 3812 - 3812 + 3*n + 9*n**2 + 3*n**z - 3*n**2 = 0?
-1, 0
Suppose 0 = 21*v + 17*v - 43715 + 43639. Factor 7/4*k**3 - 1/4*k**4 + 9/4*k + 17/4*k**v + 0.
-k*(k - 9)*(k + 1)**2/4
Let r(l) be the first derivative of -15*l + 5/3*l**3 + 5*l**2 - 7. Factor r(i).
5*(i - 1)*(i + 3)
Let v(f) be the first derivative of 96 + 1/2*f**4 + 50/3*f**3 + 0*f + 24*f**2. Find r such that v(r) = 0.
-24, -1, 0
Solve -95/7*b**4 - 550/7*b**2 - 365/7*b - 1/7*b**5 - 370/7*b**3 - 13 = 0 for b.
-91, -1
Suppose -12 - 13 = -l + 4*c, 3*l - 3*c - 30 = 0. Suppose -v + 19 = 2*i, 2*v + l*i = 8*i + 31. Suppose 12 + 12 + v - 2*h + h**2 - 49 = 0. What is h?
-2, 4
Let w(m) be the third derivative of -m**5/105 + 11*m**4/6 - 152*m**3/21 - 15*m**2 + 25*m. Factor w(h).
-4*(h - 76)*(h - 1)/7
Let r(x) = -2*x**3 + x**2 - 20*x + 20. Let k be r(7). Let u = k + 760. Let -6/7*s**u + 0 - 2/7*s**2 + 0*s - 4/7*s**4 = 0. What is s?
-1, -1/2, 0
Factor -143*m**3 - 18*m**4 - 3*m**5 - 128*m**3 - 107*m**3 + 426*m**3.
-3*m**3*(m - 2)*(m + 8)
Let m = -695 + 697. Factor 2*v**4 - 3*v**4 + 607 + 17*v + 3*v**3 + 15*v**m - 601.
-(v - 6)*(v + 1)**3
Let b(z) = 3*z**2 - 15*z + 18. Let x(d) = 10*d**2 - 3*d - 10*d - 2*d - 7*d**2 + 18. Let w(k) = 4*b(k) - 5*x(k). Find a such that w(a) = 0.
2, 3
Let q be 1644/39 - 2/13. Let r be ((-70)/q)/(1/(-3)). Factor 3*c**2 + 5*c**r - 7*c**3 - 7*c**3 - c**3 + 7*c**2.
5*c**2*(c - 1)**2*(c + 2)
Let h(i) be the second derivative of -3*i**5/20 - 17*i**4/4 + 81*i**3/2 - 189*i**2/2 - 3075*i. Factor h(n).
-3*(n - 3)*(n - 1)*(n + 21)
Factor 1573 - 856 - 2*d**2 - 17*d - 21*d - 837.
-2*(d + 4)*(d + 15)
Determine b, given that -20/3*b - 8/3 + 1/3*b**3 + 1/3*b**5 - 14/3*b**2 + 4/3*b**4 = 0.
-2, -1, 2
Let w(m) be the third derivative of -1/15*m**5 + 2*m**2 + 4*m**3 - 1/6*m**4 + 0 - 209*m. Find d such that w(d) = 0.
-3, 2
Let x be -2 + 0 + (-4 - -10). Suppose -5*j**2 + 12*j + j**2 - 3*j**3 + 12 - x*j**2 + 5*j**2 = 0. Calculate j.
-2, -1, 2
Suppose -i - 16 = -2*z + i, -5*z + 32 = -3*i. Let -9*x**5 - 30 + 7*x**3 + 0*x**5 + 53*x**3 - 55*x + z*x**5 + 20*x**4 + 10*x**2 = 0. What is x?
-1, 1, 6
Let d(m) be the third derivative of m**8/32 - 3*m**7/140 - 21*m**6/80 - m**5/8 + 3*m**4/8 - 28*m**2 + 2*m. Solve d(r) = 0.
-1, 0, 3/7, 2
What is g in -720*g**2 - 2/3*g**3 - 31104000 - 259200*g = 0?
-360
Let h = 22784 + -22784. Let 10/11*f + h + 12/11*f**2 + 2/11*f**3 = 0. What is f?
-5, -1, 0
Let c(t) be the first derivative of t**5/20 - t**4/8 - 4*t**3/3 + t**2/4 + 15*t/4 + 1960. Determine z so that c(z) = 0.
-3, -1, 1, 5
Find v, g