 1)/13
Let k(l) be the first derivative of -l**5 + 5*l**4/2 + 35*l**3/3 + 10*l**2 - 222. Factor k(r).
-5*r*(r - 4)*(r + 1)**2
Let k(n) = -n**2 + 71*n - 42. Let f(u) = -4*u. Let t(g) = -35*f(g) - 5*k(g). Factor t(i).
5*(i - 42)*(i - 1)
Let 21*n**3 - 20*n**2 + 166*n - 631*n + 31*n**3 - 451*n - 840 - 4*n**4 = 0. Calculate n.
-3, -1, 7, 10
Let k(j) be the first derivative of -2/9*j**4 + 0*j**2 + 0*j + 25/3*j**3 - 39 + 7/180*j**5 + 1/540*j**6. Let v(w) be the third derivative of k(w). Factor v(a).
2*(a - 1)*(a + 8)/3
Suppose -21 = -8*l + 11. Factor -37*s + 68 - 27*s - l*s**2 + 0*s.
-4*(s - 1)*(s + 17)
Let i(p) be the first derivative of 8/5*p**5 - 45 - 8/3*p**3 + 0*p**2 + 0*p + 1/3*p**4 - 2/9*p**6. Determine g, given that i(g) = 0.
-1, 0, 1, 6
Let v(z) be the second derivative of 11/3*z**4 + 140/3*z**3 + 1/10*z**5 - 1 + 16*z + 200*z**2. Factor v(s).
2*(s + 2)*(s + 10)**2
Let f(u) = -912*u + 4565. Let y be f(5). Let k(q) be the second derivative of q**4 + 0*q**2 + 1/5*q**y + 4/3*q**3 - 10*q + 0. Suppose k(i) = 0. What is i?
-2, -1, 0
Find s such that 2/11*s**4 + 296/11*s**2 + 70/11*s**3 - 1440/11 - 168/11*s = 0.
-30, -4, -3, 2
Let o(v) be the third derivative of -v**6/15 + 11*v**5/30 + 163*v**4/12 + 40*v**3/3 - 2040*v**2. Factor o(a).
-2*(a - 8)*(a + 5)*(4*a + 1)
Let q(h) be the second derivative of 34/15*h**6 - 8192/3*h**3 + 1408/3*h**4 - 28*h - 224/5*h**5 + 8192*h**2 + 0 - 1/21*h**7. Factor q(o).
-2*(o - 8)**4*(o - 2)
Suppose 13*a - 40 = 3*a. Let f be ((-14)/a)/((2/(-12))/1). Factor 50*u - 20*u**2 - 17*u + 8 - f*u.
-4*(u - 1)*(5*u + 2)
Let j(n) be the third derivative of -39*n**7/70 + 19*n**6/20 - 37*n**5/60 + n**4/6 - 1415*n**2. Factor j(l).
-l*(3*l - 1)**2*(13*l - 4)
Let y(h) be the first derivative of 2*h**5/5 - 3*h**4/2 - 4*h**3/3 + 12*h**2 - 16*h + 938. Let y(q) = 0. Calculate q.
-2, 1, 2
Let t(l) be the first derivative of -l**4/4 - 65*l**3 - 387*l**2/2 - 193*l + 6185. Suppose t(r) = 0. What is r?
-193, -1
Let y(c) = -c**2 + 2*c - 23. Let m(o) = o**2 - 2*o + 4. Let g(a) = -4*m(a) - 2*y(a). Solve g(p) = 0 for p.
-3, 5
Suppose 56*j - 71*j = 1635. Let h = j + 328/3. Factor 1/6*a**4 + 0*a + 0 + h*a**2 + 1/2*a**3.
a**2*(a + 1)*(a + 2)/6
Determine j so that 6*j + 6 + 10*j**2 - j**4 - 14*j**2 + 79*j**3 - 1 - 85*j**3 = 0.
-5, -1, 1
Determine l so that -543*l**2 - 122018 + 541*l**2 - 913*l - 75*l = 0.
-247
Let w(u) be the third derivative of -u**4/6 + 3*u**3 + u**2 - 60. Let g(y) = y**2 - 10*y + 36. Let h(b) = -2*g(b) + 5*w(b). Solve h(n) = 0 for n.
-3, 3
Let a be ((-24)/(-44))/(-1*40). Let i = a + 901/1540. Suppose -2/7*z**2 - 2/7*z**4 + 0*z + i*z**3 + 0 = 0. Calculate z.
0, 1
Let q(f) be the first derivative of 0*f + 1/120*f**5 + 0*f**4 + 0*f**2 - 39 + 23/3*f**3 - 1/360*f**6. Let b(z) be the third derivative of q(z). Factor b(p).
-p*(p - 1)
Suppose 15*d - 8*d = 0. Let h(w) = -w**2 - 8*w + 4. Let m be h(d). Factor 2 + 1/8*x**2 + 3/4*x**3 - 3*x + 1/8*x**m.
(x - 1)**2*(x + 4)**2/8
Let q = -28 + 19. Let g be 2/(-6) - 21/q. Factor -5*d**3 - d**g + 5*d**2 + d**2.
-5*d**2*(d - 1)
Let f(q) = 8*q - 162. Let s be f(21). Factor 5*d - d**2 - 313 + 0*d + 325 + s*d.
-(d - 12)*(d + 1)
Suppose -4*z - 2*a + 7*a + 18 = 0, 0 = 5*z - 4*a - 18. Factor -53*v**2 + 49*v**2 + 24 - 45*v + 3*v**3 + 22*v**z.
3*(v - 1)**2*(v + 8)
Let l be 20735/1573 + 22/4*-2. Determine y so that 6/11*y**3 - l*y**2 + 0 + 24/11*y = 0.
0, 2
Let i(g) = 35*g - 727 + 687 + 35*g**2 - 5*g**2. Let k be 26 + ((-14)/(-56) - 5/4). Let l(m) = -m**2 - m + 1. Let v(f) = k*l(f) + i(f). Let v(o) = 0. What is o?
-3, 1
Let h(c) be the second derivative of c**4/48 - 19*c**3/6 + 75*c**2/8 + 90*c + 13. Solve h(u) = 0 for u.
1, 75
Suppose 0 = 29*h - 0*h + 9773. Let p = h - -339. What is v in 0 - 4/3*v**p + 4/3*v = 0?
0, 1
Let d(c) be the third derivative of -c**7/210 - 157*c**6/360 + 433*c**5/180 - 383*c**4/72 + 55*c**3/9 + 2*c**2 - 584*c. Determine q so that d(q) = 0.
-55, 2/3, 1
Let q = 62611 - 62609. Factor 1/2*f**q - f - 3/2.
(f - 3)*(f + 1)/2
Suppose 5*f + 4 = 2*h, -5*h + 10 = -7*f + 2*f. What is u in -4974*u - u**2 + 4884*u + 675 + 4*u**h = 0?
15
Let f(a) be the first derivative of -a**6/4 + 3*a**5 - 45*a**4/8 - 35*a**3 + 57*a**2 + 180*a - 1958. Suppose f(n) = 0. Calculate n.
-2, -1, 2, 5, 6
Suppose -5*h = 2*m - 4, 0 = -2*h + m - 16 + 14. Let a be (6 + h)*(-3)/(-18) - -1. Determine c so that 0*c - 2/7*c**a + 0 + 2/7*c**4 + 0*c**3 = 0.
-1, 0, 1
Let c = 98 - 63. Suppose -c = -32*w + 25*w. Let -9*x**2 + 0*x**2 - 20*x**w + 25*x**3 + 25*x**5 - 20*x**4 - x**2 = 0. Calculate x.
0, 1, 2
Solve -304/13 - 306/13*d - 2/13*d**2 = 0.
-152, -1
Let r(g) be the second derivative of -g**4/28 + 33*g**3/14 - 405*g**2/7 - 1621*g - 1. Factor r(y).
-3*(y - 18)*(y - 15)/7
Let n(v) be the first derivative of 5*v**4/12 + 35*v**3/2 - 66*v + 82. Let r(z) be the first derivative of n(z). Factor r(l).
5*l*(l + 21)
Let q(j) = 2*j**2 + 7721*j - 1889573. Let k(p) = -4*p**2 - 19308*p + 4723932. Let a(s) = -5*k(s) - 12*q(s). Determine v so that a(v) = 0.
486
Let r be (24/(-15))/(-1*2/100). Let v = -73 + r. Solve -10*w**3 + 5*w**4 + 10 - 17 + v = 0.
0, 2
Let y(u) = 9*u**3 + 532*u**2 - 3322*u + 4478. Let s(o) = 335*o**3 + 19685*o**2 - 122915*o + 165685. Let j(k) = 2*s(k) - 75*y(k). Find r such that j(r) = 0.
-112, 2, 4
Let v(d) = -1. Let n(r) be the third derivative of 11*r**5/60 + 7*r**4/8 + 7*r**3/6 - 46*r**2. Let l(w) = 2*n(w) - 6*v(w). Factor l(c).
2*(c + 1)*(11*c + 10)
Suppose 2*f + 5*r - 10 = 0, -4885 + 4895 = 2*f - 3*r. Let z(j) be the third derivative of 0*j**3 - 1/12*j**f + 0 + 0*j - 2*j**2 + 5/8*j**4. Factor z(h).
-5*h*(h - 3)
Suppose 2*w + 4 = -c, -16 = -2*c + 16*w - 12*w. Suppose 0 + 3/2*b**4 + 9/2*b - 9/2*b**3 - 3/2*b**c = 0. Calculate b.
-1, 0, 1, 3
Find a, given that -284/5*a + 9/5*a**5 + 102/5*a**4 - 24 + 59*a**3 - 2/5*a**2 = 0.
-6, -5, -2/3, 1
Factor 11/2*s**2 + 1/4*s**3 - 2*s**4 - 15/4*s + 0.
-s*(s - 1)**2*(8*s + 15)/4
Let w(j) be the second derivative of -47/10*j**5 - 23*j**3 + 29/2*j**4 + 114 + 3/5*j**6 + 20*j**2 - j. Suppose w(g) = 0. What is g?
1, 20/9
Let t(s) = -27*s**4 - 3*s**3 + 45*s**2 - 63*s + 6. Let a(w) = 4*w**4 + w**2 + 3*w - 1. Let k(u) = 6*a(u) + t(u). Find r such that k(r) = 0.
-5, 0, 1, 3
Let t(m) be the first derivative of -167 + 2/21*m**6 + 4792/21*m**3 + 2242/7*m**2 + 478/7*m**4 + 164/35*m**5 + 1444/7*m. Factor t(l).
4*(l + 1)**3*(l + 19)**2/7
Let p(f) = 3*f**2 - 81*f + 3. Let l(v) = -5*v**2 + 84*v - 4. Let n(s) = 3*l(s) + 4*p(s). Factor n(a).
-3*a*(a + 24)
Factor -352/9*r - 344/9 + 2/3*r**3 + 250/9*r**2.
2*(r - 2)*(r + 43)*(3*r + 2)/9
Suppose n + 15*n = 80. Solve 6*v**3 - 10 - 15*v + 9*v**4 + 9*v**3 + n*v**2 + 9*v**4 - 13*v**4 = 0.
-2, -1, 1
Let b(k) = 5*k**3 - 3*k**2 - 18*k - 22. Let p(n) = 22*n**3 - 13*n**2 - 73*n - 89. Let i(w) = 18*b(w) - 4*p(w). Factor i(s).
2*(s - 5)*(s + 2)**2
Let d(s) be the third derivative of -s**6/1140 + s**5/15 + 22*s**4/57 - 320*s**3/57 - s**2 + 425*s. Suppose d(y) = 0. Calculate y.
-4, 2, 40
Let b = -66065/3 + 330343/15. Factor -b*i + 1/5*i**2 + 1.
(i - 5)*(i - 1)/5
Let k be 1 - (-1 + 3 - (14 - -8)). Find s such that -275*s**3 - 20*s**2 + 61*s**3 - 10*s**5 + 12*s**2 - k*s**2 - 31*s**2 - 164*s**4 = 0.
-15, -1, -2/5, 0
Let g(s) be the third derivative of 11*s**6/240 - 23*s**5/120 - 31*s**4/48 + s**3/4 - 207*s**2 + 1. Determine b, given that g(b) = 0.
-1, 1/11, 3
Let y(u) be the third derivative of -1/12*u**4 + 2 + 1/70*u**7 + 1/120*u**6 - 1/20*u**5 + 1/336*u**8 - u**2 + 0*u + 0*u**3. Factor y(a).
a*(a - 1)*(a + 1)**2*(a + 2)
Let l be (-14)/(1176/378)*24/(-81). Find q, given that -10/3*q**4 - 4/3*q**5 + l*q + 0 + 0*q**3 + 10/3*q**2 = 0.
-2, -1, -1/2, 0, 1
Let g = 73900/11 + -6718. Let l(t) be the first derivative of 30 - g*t + 2/11*t**2 - 1/11*t**4 + 0*t**3 + 2/55*t**5. Factor l(h).
2*(h - 1)**3*(h + 1)/11
Let i(y) be the third derivative of y**5/330 - y**4/66 - y**3/11 + 883*y**2. Suppose i(c) = 0. What is c?
-1, 3
Let t = 1185701/17 + -69747. What is m in 10/17*m**4 - 12/17*m**3 + 0 + 0*m**2 - t*m**5 + 0*m = 0?
0, 2, 3
Suppose -3*u = -s - 184, -11*s + 300 = 5*u - 14*s. Find n such that -15*n**3 + 16 + 20*n**2 + u*n - 2*n + 31*n + 4*n**3 = 0.
-2, -2/11, 4
Let u be (-28)/(-28) + 485 + -2. Let p = u + -3380/7. Suppose -p + 16/7*g - 10/7*g**2 + 2/7*g**3 = 0. What is g?
1, 2
Su