ve of 64/39*l**3 + 1/780*l**6 - 1/26*l**5 + 61*l**2 + 0*l - 2 + 4/13*l**4. Solve b(z) = 0 for z.
-1, 8
Let h(v) be the first derivative of -2*v**6/3 - 144*v**5/5 - 69*v**4 - 136*v**3/3 + 2031. Let h(j) = 0. What is j?
-34, -1, 0
Let c = 40366 - 40364. Factor 0 + 12/7*u + 51/7*u**3 + 9*u**c.
3*u*(u + 1)*(17*u + 4)/7
Let s(i) be the second derivative of 1/15*i**5 + 1/6*i**4 + 1/90*i**6 - 5/6*i**3 + 0*i**2 + 5*i + 0. Let v(w) be the second derivative of s(w). Factor v(l).
4*(l + 1)**2
Suppose 8*z + 3*z - 33 = 0. Suppose 149 = 4*l - l - f, -z*l + 5*f + 145 = 0. Find a, given that 6 - l*a**2 + 27*a**2 + 24*a**2 - 5*a = 0.
2, 3
Factor -10*t - 1/7*t**2 + 456/7.
-(t - 6)*(t + 76)/7
Let c be 101611/(-420) + (-2)/7 - -5. Let m = 951/4 + c. Let -m*v**2 + 2/3*v**3 + 2/15*v - 4/15*v**4 + 0 = 0. Calculate v.
0, 1/2, 1
Let n(o) be the third derivative of -o**8/47040 + o**7/1470 + 101*o**5/60 - 85*o**2. Let l(r) be the third derivative of n(r). Suppose l(g) = 0. Calculate g.
0, 8
Let s(d) be the third derivative of -5/108*d**4 + 0 + 132*d**2 - 1/9*d**3 + 2/27*d**6 + 0*d + 19/135*d**5. Suppose s(y) = 0. Calculate y.
-1, -1/4, 3/10
Let i(k) be the third derivative of -k**6/240 - 167*k**5/40 + 335*k**4/16 - 503*k**3/12 - 3*k**2 + 7*k + 20. Factor i(c).
-(c - 1)**2*(c + 503)/2
Suppose 4*j - 12 = -2*t, 0 = -4*t - 3*j + 33967 - 33958. Factor -2/7*n**3 + t*n + 6/7*n**2 - 8/7.
-2*(n - 2)**2*(n + 1)/7
Let q = 762649/6 + -127108. Factor -3/2*a - 3 - q*a**2.
-(a + 3)*(a + 6)/6
Let t = -219 - -221. Factor 173*n**2 - 82*n**t + 32 + 24*n - 87*n**2.
4*(n + 2)*(n + 4)
Let h be 0*((-209)/380 - 6/(-8)). Let y(b) be the first derivative of 3/20*b**5 - 27 + 0*b + 0*b**3 + 1/12*b**6 + 1/16*b**4 + h*b**2. Factor y(i).
i**3*(i + 1)*(2*i + 1)/4
Let d(i) = -i**2 + 2*i + 5. Let y be d(3). Factor -25 + 4*w**3 - 2089*w**y - w**3 - 24*w - 11 + 2092*w**2.
3*(w - 3)*(w + 2)**2
Factor 7*m**3 + 2*m**4 + 116*m - 486*m - 93*m**3 - 1 + 454*m**2 + 1.
2*m*(m - 37)*(m - 5)*(m - 1)
Suppose 4*l - 44 = -2*x, 3*x - 4*l + 0 = 26. Factor -8*w**2 - 8*w - x*w**2 + 12*w**2 - 2*w**3.
-2*w*(w + 1)*(w + 4)
Let x(h) be the third derivative of -125/192*h**4 + 1/1680*h**7 + 0*h**3 + 0*h - 48*h**2 - 1/64*h**6 + 0 + 5/32*h**5. Factor x(y).
y*(y - 5)**3/8
Let d(c) = -4*c + 9*c**2 + 12 + 4 - 14*c**2. Suppose p + 1 = -3. Let z(k) = -k - 1. Let x(i) = p*z(i) + d(i). What is v in x(v) = 0?
-2, 2
Let k be 2/6*6 + 1. Suppose k*j + 4 - 13 = 0. Solve 0*u**5 - 6*u**5 + u**5 + 2*u**5 + 3*u**4 - 3*u**2 + j*u**3 = 0.
-1, 0, 1
Let a(t) be the first derivative of -3*t**4/4 + 11*t**3/2 + 6*t**2 + 42*t + 20. Let s(n) be the first derivative of a(n). Factor s(j).
-3*(j - 4)*(3*j + 1)
Let r(i) = 3*i + 24. Let w be r(-5). Suppose -w*p + 90 = -4*p. Factor -p*y**2 + 10*y**2 + 48*y - 101 + 5*y**2 - 91.
-3*(y - 8)**2
Suppose -107*h = -115*h + 200. Suppose 0 = h*g - 10*g. Find j such that 3/4*j**3 + g*j + 0 - 3*j**2 = 0.
0, 4
Suppose 22*o**2 - 20/9 + 280/9*o**3 + 142/9*o**4 + 7/3*o**5 + 19/9*o = 0. Calculate o.
-4, -1, 5/21
Find j such that 629*j**2 - 396*j**2 - 347*j**2 - 2*j**3 - 112*j = 0.
-56, -1, 0
Let t be (-3)/39 + (-14507)/(-8099). Factor -t*w + 3/7*w**2 - 15/7.
3*(w - 5)*(w + 1)/7
Let -199/3*d**2 + 0 - 235/3*d**3 - 40/3*d + 2*d**4 = 0. What is d?
-1/2, -1/3, 0, 40
Let d = -1282/3 - -428. Let b = -5 - -5. Let -d*z**4 - 2/3*z**3 + 2/3*z**5 + b*z + 0 + 2/3*z**2 = 0. What is z?
-1, 0, 1
Suppose 631*w + 626 = -77*w + 2750. Factor -1/3*b**2 + 1/2*b + 0 - 1/6*b**w.
-b*(b - 1)*(b + 3)/6
Let g be (-7 + 23)*-2 + 4. Let x = g - -30. Factor 40/9*f - 200/9 - 2/9*f**x.
-2*(f - 10)**2/9
Suppose 0 = -6*u + 14 + 10. Let l(d) = d**2 - 8*d**2 - 8*d + 6*d**2. Let s(z) = -3*z**2 - 17*z + 1. Let y(c) = u*s(c) - 9*l(c). Let y(a) = 0. Calculate a.
-2/3, 2
Let y(s) be the second derivative of s**7/7 - 7*s**6/3 + 7*s**5 + 110*s**4/3 - 56*s**3 - 2238*s. Determine h so that y(h) = 0.
-2, 0, 2/3, 6, 7
Solve -10750*z**3 + 402214 + 177525*z**2 + 2763528*z + 3*z**4 + 517154 + 17554*z**3 + 987965*z**2 + 7*z**4 = 0 for z.
-339, -2, -2/5
Let w(k) = -3*k**2 - 101*k - 98. Let y(x) = -11*x**2 - 306*x - 295. Let a(t) = 7*w(t) - 2*y(t). Determine q so that a(q) = 0.
-1, 96
Let a(y) be the third derivative of y**7/630 - y**6/15 + 21*y**5/20 - 295*y**4/36 + 100*y**3/3 + y**2 + 236. Factor a(g).
(g - 12)*(g - 5)**2*(g - 2)/3
What is i in -378*i**2 + 2530*i - 802*i - 3584 + 186*i**2 - 2*i**3 - 2*i**3 = 0?
-56, 4
Let a(p) = 2*p**2 - 2*p + 1. Let q(l) = -13*l**2 - 50*l + 1434. Let y(x) = 6*a(x) + q(x). Let y(s) = 0. What is s?
-80, 18
Let d(m) be the third derivative of -m**8/336 + m**7/7 + 17*m**6/60 - 23*m**5/15 - 11*m**4/8 + 31*m**3/3 - 4222*m**2. Solve d(v) = 0.
-2, -1, 1, 31
Let t(s) be the third derivative of -s**8/6720 + s**7/42 - 5*s**6/3 - 17*s**5/30 + 17*s**2. Let q(p) be the third derivative of t(p). Factor q(y).
-3*(y - 20)**2
Let a(w) = -10*w**2 - 35*w + 392. Let s(b) = 3*b**2 + 12*b - 133. Let k(v) = -4*a(v) - 14*s(v). What is p in k(p) = 0?
-21, 7
Let w be (-9)/(7 - 43)*37424/(-14). Let c = w - -670. Solve -16/7 + 6/7*h**2 + 2/7*h**3 - c*h = 0 for h.
-4, -1, 2
Let o(d) be the third derivative of d**6/40 + 293*d**5/20 + 145*d**4 + 578*d**3 - 2*d**2 - d + 1534. Determine j so that o(j) = 0.
-289, -2
Let t(d) be the second derivative of -19*d**5/10 + 466*d**4/21 - 115*d**3/3 + 6*d**2/7 + 3020*d. Determine f so that t(f) = 0.
1/133, 1, 6
Let i(m) be the first derivative of m**5/45 - 3*m**2/2 + m - 53. Let p(j) be the second derivative of i(j). Factor p(u).
4*u**2/3
Let 1/4*g**2 + 0 + 395/4*g = 0. What is g?
-395, 0
Let b be (-2 - (-93)/31)*4. Determine g so that -5/2*g**3 - 71/2*g**2 + 20*g + 7/2*g**b + 50 + 1/2*g**5 = 0.
-5, -1, 2
Let s(g) = -16*g + 5 + 15*g + 15. Let d be s(4). Solve 19*i**2 - 25*i + d*i**2 - 5*i**3 - 5*i**2 = 0 for i.
0, 1, 5
Let l(k) be the second derivative of k**4/4 - 13*k**3 + 72*k**2 + 29*k - 2. Suppose l(f) = 0. What is f?
2, 24
Let -224*a**2 + 144*a + 979*a**3 + 39*a**4 - 1327*a**3 - 19*a**4 = 0. What is a?
-1, 0, 2/5, 18
Suppose -385 = 29*m - 443. Factor 0*b + 0 + 5/3*b**4 + 80/3*b**m + 40/3*b**3.
5*b**2*(b + 4)**2/3
Let d = -29543 - -265907/9. Factor 2/9*u**2 + d*u + 14/3.
2*(u + 3)*(u + 7)/9
Solve -63/4*u**3 - 6*u + 0 - 15/4*u**4 + 3/4*u**5 - 69/4*u**2 = 0 for u.
-1, 0, 8
Factor 0 - 1/4*l**3 - 5041/4*l + 71/2*l**2.
-l*(l - 71)**2/4
Let z(l) = -27*l**4 - 105*l**3 + 87*l**2 - 9*l - 18. Let i(q) = 81*q**4 + 317*q**3 - 261*q**2 + 28*q + 51. Let p(k) = -6*i(k) - 17*z(k). Solve p(w) = 0.
-5, 0, 1/3
Let z(g) be the third derivative of g**6/540 + 7*g**5/270 - 5*g**4/9 - 21*g**2 - 1. Suppose z(a) = 0. Calculate a.
-12, 0, 5
Let -6/7 + 8/21*w**3 - 10/21*w**2 - 12/7*w = 0. Calculate w.
-1, -3/4, 3
Find y such that -2/7*y**2 - 2/7*y**3 - 30/7 + 34/7*y = 0.
-5, 1, 3
Let s = -1570 + 1570. Suppose s = 151*w - 72*w - 76*w. Factor 0*a + 3/2*a**4 + w - 1/2*a**5 - 2*a**2 + 0*a**3.
-a**2*(a - 2)**2*(a + 1)/2
Let s = 59782/423 - 6632/47. Let s*o**5 - 2/3*o**4 + 2/9 + 4/9*o**2 + 4/9*o**3 - 2/3*o = 0. Calculate o.
-1, 1
Suppose -3*p + 2*i + 81 = 13, 4*i = 20. Let n be (0 + -3)/((-13)/p). Factor n - 1 - s**2 + 6*s - 3*s - 1.
-(s - 4)*(s + 1)
Let v(r) = 12*r**2 - 15*r + 63. Let o(b) = 12*b. Let j(u) = -9*o(u) - v(u). Factor j(p).
-3*(p + 7)*(4*p + 3)
Let h(m) be the second derivative of 12/7*m**3 - 2*m - 2 + 1/42*m**4 + 324/7*m**2. Factor h(b).
2*(b + 18)**2/7
Let s be 4 - (754/273 + (-44)/(-77)). Find q, given that -10/9*q + 2/9*q**3 + s*q**2 - 2/9*q**4 + 4/9 = 0.
-2, 1
Let d be -7 - ((-9)/(-9) - 8). Let w(f) be the second derivative of 9*f + 5/8*f**3 + 5/48*f**4 + 5/4*f**2 + d. What is u in w(u) = 0?
-2, -1
Let w be (-1)/(-2) + 2475/550. Let d(o) be the second derivative of 0 + 3/5*o**w + 1/3*o**4 - 2*o + 0*o**2 + 2/5*o**6 + 0*o**3 + 2/21*o**7. Factor d(m).
4*m**2*(m + 1)**3
Let v = 85 + -62. Let -46*u**2 + 0*u**4 + 63*u**2 + v*u**3 - 32*u**2 + 5*u**4 - 23*u + 10 = 0. Calculate u.
-5, -1, 2/5, 1
Let s(w) be the first derivative of -29 + 85/8*w**4 - 250/9*w**3 + 235/12*w**2 + 5/3*w. Find y such that s(y) = 0.
-2/51, 1
Let z(c) be the third derivative of 99*c**2 + 0*c - 1/420*c**6 + 0*c**3 - 1/210*c**5 + 0 + 1/42*c**4. Suppose z(w) = 0. Calculate w.
-2, 0, 1
Let b(h) = 32 + 32 - 95 + 32. Let j(d) = -3*d**4 + 4*d**3 + 3*d**2 - 4*d - 6. Let v(q) = -30*b(q)