*w + 3. Let h(b) = -2*b**2 + b + 1. Let s(r) = -5*f(r) + 40*h(r). Determine q so that s(q) = 0.
-1, 5
Let o = -2973 - -2973. Factor -2/3*g**2 + 1/6*g**5 - 1/2*g**3 + o + 1/3*g**4 + 2/3*g.
g*(g - 1)**2*(g + 2)**2/6
Let n = -92 - -90. Let b be (n - 1) + 22/7. Determine h so that 1/7*h**3 - 5/7*h + b*h**4 - 3/7*h**2 - 2/7 = 0.
-1, 2
Find b such that -7*b + 13/2 + 1/2*b**2 = 0.
1, 13
Let t(v) be the second derivative of -v**4/4 + 7*v**3/2 - v. Factor t(f).
-3*f*(f - 7)
Let q(c) = 2*c**5 + 2*c**3 - 4*c**2 + 4. Let p = -19 - -10. Let o(f) = 4*f**5 + 5*f**3 - 9*f**2 + 9. Let d(y) = p*q(y) + 4*o(y). Factor d(h).
-2*h**3*(h - 1)*(h + 1)
Let -54/5*c**2 - 18/5*c**4 + 0*c + 0 + 54/5*c**3 + 2/5*c**5 = 0. Calculate c.
0, 3
Let p(y) = 19*y + 10. Let b be p(3). Suppose -2*t - t = -5*j + 74, -5*t - b = -4*j. Factor 4*h**2 - 5*h**3 - 40*h + 0*h**3 - 20 - j*h**2 - 16*h**2.
-5*(h + 1)*(h + 2)**2
Let t(l) = -9*l**3 + 12*l**2 + 3*l - 6. Let i(r) = -3 + 10*r**2 + 3*r**2 - 10*r**3 - 3 + 3*r. Let d(q) = -6*i(q) + 7*t(q). Factor d(y).
-3*(y - 2)*(y - 1)*(y + 1)
Let y(b) be the second derivative of 6*b - 5/2*b**5 - 1/3*b**6 + 5/3*b**4 + 25/42*b**7 + 0 + 25/6*b**3 - 5*b**2. Suppose y(c) = 0. Calculate c.
-1, 2/5, 1
Let w(y) be the second derivative of y**5/10 - 2*y**4/3 - 17*y**3 + 54*y**2 - 681*y. Let w(u) = 0. What is u?
-6, 1, 9
Let h(f) be the first derivative of f**3/4 + 81*f**2/8 + 75*f/2 - 604. Factor h(w).
3*(w + 2)*(w + 25)/4
Let o(x) be the second derivative of x**5/15 - 27*x**4 + 4374*x**3 - 354294*x**2 - 669*x. Solve o(g) = 0.
81
Let a(r) = -r**2 + 4*r + 5. Let t be a(5). Suppose 2*i - 2*v - 30 = -0*i, t = -2*v - 6. Let -9 + 2*f**2 - 17*f**3 - i*f**2 + 19*f**3 + 16*f + 1 = 0. What is f?
1, 2
Let o(r) be the second derivative of -7*r**5/4 - 45*r**4/2 - 80*r**3 + 80*r**2 - 71*r. Factor o(t).
-5*(t + 4)**2*(7*t - 2)
Let o(w) be the first derivative of w**6/60 + w**5/20 - w**4/24 - w**3/6 + 17*w + 22. Let x(b) be the first derivative of o(b). Factor x(c).
c*(c - 1)*(c + 1)*(c + 2)/2
Let r(h) be the third derivative of h**7/1890 + h**6/270 - 2*h**4/27 + h**3/3 + 10*h**2. Let u(a) be the first derivative of r(a). Factor u(c).
4*(c - 1)*(c + 2)**2/9
Let b(h) be the first derivative of 44 - 4/3*h**3 + 4*h**2 - 4*h. Determine d so that b(d) = 0.
1
Let d(v) be the first derivative of 23*v**5 + 685*v**4/4 + 450*v**3 + 430*v**2 - 40*v + 2. Find z such that d(z) = 0.
-2, 1/23
Let m = 162 - 807/5. Let c(i) be the first derivative of 2/5*i**3 - 7 - m*i + 3/10*i**2. Determine s, given that c(s) = 0.
-1, 1/2
Let j(d) = -7*d - 7. Let a be j(-1). Let l(o) be the third derivative of a*o**3 + 0 + 0*o + 1/48*o**4 - 5*o**2 - 1/120*o**5. Suppose l(q) = 0. What is q?
0, 1
Let r(k) be the first derivative of 5*k**6/18 - 5*k**5/3 + 5*k**4/2 + 10*k**3/9 - 35*k**2/6 + 5*k - 140. Solve r(d) = 0 for d.
-1, 1, 3
Let n(b) be the first derivative of 1/24*b**4 + 0*b - 1/36*b**6 + 13 + 1/30*b**5 + 0*b**2 - 1/18*b**3. Let n(s) = 0. What is s?
-1, 0, 1
Let h(q) be the first derivative of q**5/70 - 2*q**4/21 + 5*q**3/21 - 2*q**2/7 + 6*q + 22. Let a(n) be the first derivative of h(n). Solve a(m) = 0.
1, 2
Let k be 280/42*3/4. Suppose 3*t - k*t + 6 = 0. Factor 0 + o**4 + 3*o**2 - o**3 - t - 3*o**3 + 4*o - 1.
(o - 2)**2*(o - 1)*(o + 1)
Suppose 8*m = -8 - 40. Let z(c) = 7*c**4 + 8*c**3 - 5*c**2 - 6. Let k(y) = 13*y**4 + 15*y**3 - 9*y**2 - 11. Let h(r) = m*k(r) + 11*z(r). Solve h(f) = 0 for f.
-1, 0
Factor -134/3 - 130/3*v**2 + 2/3*v**3 - 266/3*v.
2*(v - 67)*(v + 1)**2/3
Let z(m) be the third derivative of m**7/21 - 7*m**6/24 - 9*m**5/4 - 15*m**4/4 + 673*m**2. Factor z(k).
5*k*(k - 6)*(k + 1)*(2*k + 3)
Let c = 10 + -12. Let f be (-5)/7*(8/5 + c). Determine n so that -f*n**2 + 6/7*n + 0 = 0.
0, 3
Suppose -5*w - x = -7, -x + 1 - 6 = -w. What is h in 8*h - w*h**3 - 9 - 3*h**2 + h**2 + 17 = 0?
-2, -1, 2
Let g(c) be the first derivative of -31 - 1/2*c**2 + 0*c - 1/3*c**3. Suppose g(z) = 0. What is z?
-1, 0
Let t(h) be the second derivative of -h**4/8 + 4*h**3 - 45*h**2/4 + 77*h + 3. Find p, given that t(p) = 0.
1, 15
Let y be ((3/(-1))/(-1))/1. Let g(c) be the third derivative of c**5/15 - c**3/3 - c**2. Let u(s) = -5*s**2 - s + 3. Let j(l) = y*g(l) + 2*u(l). Factor j(q).
2*q*(q - 1)
Let i(g) be the second derivative of 5/6*g**4 - 10/3*g**3 - 20*g**2 - 31*g + 0 + 1/4*g**5. What is m in i(m) = 0?
-2, 2
Let v(r) be the first derivative of -3*r**4/16 - 2*r**3 - 21*r**2/8 + 42. Factor v(q).
-3*q*(q + 1)*(q + 7)/4
Let i(n) be the second derivative of n**4/78 + 8*n**3/39 + 7*n**2/13 + 339*n. Let i(y) = 0. Calculate y.
-7, -1
Suppose -2/7*d**2 + 16/7 - 4/7*d = 0. Calculate d.
-4, 2
Let x(r) = r**2 - 13*r + 24. Let n be x(11). Let -2*f**3 + 16*f**2 + 23*f**2 - 31*f**n + 4 - 10*f = 0. What is f?
1, 2
Suppose -2*z = 3*m - 0*m - 23, 3*z = -3*m + 27. Suppose -m = -n - 2. Factor -1 + 0*q**3 - 3*q**n + 4*q - q**3 + 3 - 2*q**4.
-2*(q - 1)*(q + 1)**3
Let a be 2/(-8)*(-136)/(-26). Let x = 181/39 + a. Suppose 2/3 + x*s**4 + 20/3*s**3 + 10/3*s + 2/3*s**5 + 20/3*s**2 = 0. Calculate s.
-1
Let l(t) be the first derivative of -16*t**5/25 + 9*t**4/5 + 8*t**3/15 - 18*t**2/5 + 8*t/5 + 231. Solve l(m) = 0 for m.
-1, 1/4, 1, 2
Let y(p) be the third derivative of p**7/3780 - p**6/270 + p**5/45 + 11*p**4/24 + 5*p**2. Let j(x) be the second derivative of y(x). Solve j(h) = 0 for h.
2
Let p(y) be the third derivative of y**6/900 + y**5/450 - y**4/36 + y**3/15 + 135*y**2. Factor p(s).
2*(s - 1)**2*(s + 3)/15
Let a(l) be the second derivative of -2*l**6/15 + 23*l**5/5 - 43*l**4/3 + 14*l**3 + l. Determine w so that a(w) = 0.
0, 1, 21
Let v = 1555 - 18659/12. Let c(p) be the second derivative of -5*p + 0 + p**2 + 1/2*p**3 + v*p**4. Let c(y) = 0. Calculate y.
-2, -1
Let d = 823/42 + -136/7. Let m(h) = h**2 - 4*h + 2. Let l be m(4). Factor d*n**l - 1/6 + 1/6*n**3 - 1/6*n.
(n - 1)*(n + 1)**2/6
Let y(z) be the first derivative of -3*z**5/20 - 9*z**4/8 - 13*z**3/4 - 9*z**2/2 - 3*z - 565. Factor y(d).
-3*(d + 1)**2*(d + 2)**2/4
Suppose k - 4*j + 10 = 0, 4*j = 4*k + 5 - 1. Factor -z**2 + 160 - 160 + k*z.
-z*(z - 2)
Let o(s) be the first derivative of -s**5 - 15*s**4/4 - 10*s**3/3 + 151. Factor o(u).
-5*u**2*(u + 1)*(u + 2)
Let w(c) be the third derivative of -c**8/1680 + c**7/1050 + c**6/200 - c**5/60 + c**4/60 + 48*c**2. Factor w(g).
-g*(g - 1)**3*(g + 2)/5
Let f be (1 - 0)*(-1)/(-3). Let v be 12/9*73/146*1/2. Factor 0 - v*o**3 + f*o + 0*o**2.
-o*(o - 1)*(o + 1)/3
Let -168*u + 4*u**5 + 24*u**4 - 1473*u**3 + 784 + 1507*u**3 - 2*u**5 - 292*u**2 = 0. Calculate u.
-7, -2, 2
Let u(c) be the third derivative of -2/105*c**5 + 0 + 2/735*c**7 + 0*c + 0*c**4 - 8*c**2 + 0*c**6 + 2/21*c**3. What is f in u(f) = 0?
-1, 1
Suppose -5*n + 2*c = -202, -5*n - 2*c - 2*c = -196. Determine o so that 2*o**4 - n*o**2 + o**4 + 0*o**4 + 6*o**3 + 31*o**2 = 0.
-3, 0, 1
Let u(m) be the second derivative of m**6/70 - 15*m**5/14 + 156*m**4/7 + 25*m**3/7 - 1875*m**2/14 + 285*m. Solve u(n) = 0 for n.
-1, 1, 25
Let c(g) = -g - 16*g - 4*g**2 - 7 + 19*g**2. Let t = 479 - 483. Let a(n) = -14*n**2 + 18*n + 8. Let r(k) = t*c(k) - 3*a(k). Factor r(j).
-2*(j - 1)*(9*j + 2)
Let m(i) be the first derivative of -12/5*i + 3/5*i**2 + 19 + 2/5*i**3. Determine v, given that m(v) = 0.
-2, 1
Suppose 3*x - 28 = -2*o - x, 0 = 3*o + 4*x - 38. Let f be 28/o + 1/5. Factor 4*g**3 + 0*g**3 + g - 2*g**2 - 3*g**3 + 0*g**f.
g*(g - 1)**2
Let i = -62 + 81. Determine h, given that -8*h**3 - i*h**2 + 3*h**3 - 40 - 60*h - 11*h**2 = 0.
-2
Suppose -5*n + 2850 = -11*n. Let i be n/(-57) - (-1)/(1/(-3)). Factor -i - 20*r**2 + 14/3*r**3 + 24*r.
2*(r - 2)**2*(7*r - 2)/3
Suppose 0 = 9*v - 3 - 15. Let i be (48/90)/((-36)/(-15) - v). Factor -2/3*d**4 + i*d**2 + 2/3*d - 4/3*d**3 - 2/3 + 2/3*d**5.
2*(d - 1)**3*(d + 1)**2/3
Factor 73 + 17 + 18*n**2 + 3*n - 3*n**3 + 65*n + 43*n.
-3*(n - 10)*(n + 1)*(n + 3)
Let n(j) be the third derivative of 7*j**2 + 1/12*j**5 + 0*j + 0 + 5/8*j**4 + 5/3*j**3. Let n(z) = 0. Calculate z.
-2, -1
Let l(o) = 2*o**2 - o - 5. Let c(n) = 5*n**2 + 220*n - 233. Let i(b) = c(b) - 2*l(b). Find p, given that i(p) = 0.
-223, 1
Let r(v) = 3*v**5 + v**4 + 11*v**3 - 12*v**2 - 3*v. Let u(f) = 2*f**4 - f**3 - f. Let t(x) = -r(x) - 5*u(x). Suppose t(c) = 0. What is c?
-2, -2/3, 0, 1
Let w(b) = 8*b**2 - 144*