that u(f) = 0.
-1, 1
Let f(w) be the second derivative of 3*w**5/40 + w**4 + w - 301. Find k, given that f(k) = 0.
-8, 0
Let z(r) be the first derivative of 0*r**2 + 32 - 2/5*r**5 + 2*r**3 + 0*r + r**4. Factor z(t).
-2*t**2*(t - 3)*(t + 1)
Let c(m) be the third derivative of -2 + 0*m**3 - 1/76*m**4 + 0*m + 8*m**2 + 2/285*m**5 - 1/1140*m**6. Factor c(o).
-2*o*(o - 3)*(o - 1)/19
Let p(x) = -2*x**5 + 3*x**4 - x**3 - x**2 + 15*x - 5. Let n(g) = -3*g**5 + 4*g**4 + g**3 - 2*g**2 + 16*g - 4. Let j(o) = -3*n(o) + 4*p(o). Factor j(u).
(u - 2)*(u - 1)**2*(u + 2)**2
Factor 74*v**4 - 2*v**3 - 9*v**2 - 71*v**4 + 15*v - v**3 - 6.
3*(v - 1)**3*(v + 2)
Let q be 5766/744 - 1*7. Factor -3/4*x + q*x**3 - 3/4*x**4 + 3/4*x**2 + 0.
-3*x*(x - 1)**2*(x + 1)/4
Let p(i) be the third derivative of i**5/30 + 5*i**4/12 + 2*i**3 - 82*i**2. Factor p(x).
2*(x + 2)*(x + 3)
Let o(k) be the first derivative of -6*k**2 + 0*k + 8/3*k**3 + 35 - 1/3*k**4. Factor o(l).
-4*l*(l - 3)**2/3
Let r(k) be the third derivative of k**5/12 - 25*k**4/8 - 40*k**3/3 + 11*k**2 - 8. Solve r(c) = 0.
-1, 16
Let j be 2/3 - (4 - 6). Suppose r = -3 + 17. What is k in -98/3*k**3 + r*k**2 + 16*k + j = 0?
-2/7, 1
Let s(x) be the first derivative of x**6/72 - 5*x**4/24 + 19*x**3/3 + 18. Let a(w) be the third derivative of s(w). Determine m, given that a(m) = 0.
-1, 1
Suppose 0*w - 24 = -3*w. Let h(s) = 3*s**3 + 3*s**2 + 2*s. Let g(b) = 6*b - 216*b**3 + b**2 - 5*b + 217*b**3. Let m(u) = w*g(u) - 3*h(u). Factor m(l).
-l*(l - 1)*(l + 2)
Factor 4 - 4/3*h**3 + 4/3*h - 4*h**2.
-4*(h - 1)*(h + 1)*(h + 3)/3
Factor 11 - 85*o + 5*o**2 - 34 - 67 + 0*o**2.
5*(o - 18)*(o + 1)
Suppose 2*q + 142 = 5*q + 2*l, 3*q + 3*l - 138 = 0. Suppose 5*i = -n + 4, -11 - 53 = -2*n + 4*i. Factor n*b**3 + 4*b + 10*b**4 + 0*b - 32*b**2 + q*b**2.
2*b*(b + 1)**2*(5*b + 2)
Factor -2/17*h**2 + 4/17*h + 0 - 2/17*h**3.
-2*h*(h - 1)*(h + 2)/17
Suppose 5*w = a + 26, 4*w + 2*a = 34 - 16. Let k(z) be the second derivative of 1/18*z**4 + 0*z**3 + 0*z**w + 0*z**2 + 6*z - 1/45*z**6 + 0. Factor k(i).
-2*i**2*(i - 1)*(i + 1)/3
Let i(w) be the second derivative of -5*w**9/3024 + 5*w**8/336 - w**7/56 - w**6/8 - 11*w**3/6 - 6*w. Let y(j) be the second derivative of i(j). Factor y(s).
-5*s**2*(s - 3)**2*(s + 1)
Let j(b) be the first derivative of b**3/3 + 19*b**2 + 361*b + 20. Find h such that j(h) = 0.
-19
Suppose -4*h = 2*v - 4, -4*v + 2*h = v - 46. Determine c so that c - v*c**2 + 14*c**2 + 3*c = 0.
-2/3, 0
Let j(z) be the first derivative of 11*z**4/4 - 2*z**3/3 + 4*z**2 + 11. Let v(y) = 4*y**3 - y**2 + 3*y. Let k(q) = 3*j(q) - 8*v(q). Solve k(d) = 0.
-2, 0
Let y = 174 - 172. Let v(o) be the first derivative of -2/3*o**3 - 8/3*o + y*o**2 - 3 + 1/12*o**4. Factor v(k).
(k - 2)**3/3
Factor 36/5*m**2 + 66/5 - 101/5*m - 1/5*m**3.
-(m - 33)*(m - 2)*(m - 1)/5
Let z be (-8 - -11) + (0 - 0/2). Factor 20 - z*m**2 + 5*m - 34 + 20 - 2*m.
-3*(m - 2)*(m + 1)
Suppose 0 = 21*w - 25*w + 556. Let d = w + -133. Determine t, given that -d*t**2 + 0 + 3/2*t**4 - 6*t**3 + 0*t + 3/2*t**5 = 0.
-2, -1, 0, 2
Let y = 8/171 - 62/513. Let s = y - -577/135. Factor -s*l**2 + 48/5 + 3/5*l**3 + 24/5*l.
3*(l - 4)**2*(l + 1)/5
Let h = 140 - 135. Let f(t) be the second derivative of -1/8*t**h + 0*t**2 - 1/6*t**3 + 5*t + 0 - 7/24*t**4. Solve f(g) = 0 for g.
-1, -2/5, 0
Factor -42320 + 461*d - 5*d**2 - 119*d - 197*d + 775*d + 0*d**2.
-5*(d - 92)**2
Let i(f) = 9*f**2 - 54*f**3 - f**2 + f**2 + 123*f**4 - 98*f**4 + 20*f. Let k(m) = -5*m**4 + 11*m**3 - 2*m**2 - 4*m. Let c(t) = 2*i(t) + 11*k(t). Factor c(d).
-d*(d - 2)*(d - 1)*(5*d + 2)
Let h(k) = -2*k**2 - 197*k + 930. Let g be h(-103). Determine o so that -4/3*o + 13/3*o**g + 0 - 4/3*o**2 - 5/3*o**4 = 0.
-2/5, 0, 1, 2
Find w, given that 8/3*w + 1/3*w**3 + 4/3 + 5/3*w**2 = 0.
-2, -1
Let k(d) = 11*d**2 + 57*d + 25. Let t(w) = -3*w**2 - 14*w - 6. Let s(r) = 4*k(r) + 18*t(r). Factor s(i).
-2*(i + 2)*(5*i + 2)
Let v = -117 + 213. Let x = -476/5 + v. Factor 4/5*f + x*f**2 - 8/5.
4*(f - 1)*(f + 2)/5
Let n(w) be the first derivative of -w**7/42 - 4*w**6/15 - 32*w - 28. Let v(a) be the first derivative of n(a). Suppose v(p) = 0. What is p?
-8, 0
Let p(f) = 85*f**4 - 85*f**3 - 560*f**2 + 1140*f - 545. Let i(u) = 5*u**4 - 5*u**3 - 33*u**2 + 67*u - 32. Let n(w) = 35*i(w) - 2*p(w). Factor n(v).
5*(v - 2)*(v - 1)**2*(v + 3)
Factor -6*k - k**2 + 5*k**2 - 6 - 3*k**2 + 11*k.
(k - 1)*(k + 6)
Find p such that -2/7*p**3 + 32/7*p - 40/7 - 2/7*p**2 = 0.
-5, 2
Let x(o) = -6*o**3 - 70*o**2 - 152*o - 88. Let d(z) = 4*z**3 + 46*z**2 + 101*z + 59. Let n(s) = -8*d(s) - 5*x(s). Factor n(m).
-2*(m + 1)*(m + 4)**2
Suppose 100*l = 101*l - 4505. Let -12*r - 4510*r**2 - 13*r - 43 + 13 + l*r**2 = 0. What is r?
-3, -2
Let k = 162 - 158. Let n(m) be the first derivative of 0*m - 1/4*m**2 + 3/4*m**3 - 1/4*m**k - 5. Factor n(x).
-x*(x - 2)*(4*x - 1)/4
Let o(s) be the third derivative of s**6/160 - 3*s**5/40 - 25*s**4/32 - 9*s**3/4 - 422*s**2. Factor o(x).
3*(x - 9)*(x + 1)*(x + 2)/4
Let 280/9*s + 52/3*s**2 + 2/9*s**4 + 34/9*s**3 + 176/9 = 0. Calculate s.
-11, -2
Let g(o) = o**3 + o + 1. Suppose 5*y + 3*b = -13, 2*y + 9 = -0*y - 5*b. Let v(z) = -2*z**3 - 4*z**2 + 2*z + 2. Let h(w) = y*g(w) + v(w). Factor h(j).
-4*j**2*(j + 1)
Let b be (-30)/18*1*(-6)/2. What is a in -16*a**2 - b*a**3 - 254*a + 238*a + a**3 = 0?
-2, 0
Factor 6*k**4 + 4*k**2 + 6*k**2 - 16*k**4 + 51*k**5 + 5*k - 56*k**5.
-5*k*(k - 1)*(k + 1)**3
Suppose -65*s = -112*s + 94. Factor -1/3*q**4 - 2/3*q**s + 0 - q**3 + 0*q.
-q**2*(q + 1)*(q + 2)/3
Let n be (1 + (-4269)/15)*1. Let b = -282 - n. Let -26/5*x**2 - 4/5 - b*x**3 - 22/5*x = 0. What is x?
-2, -1, -1/4
Let n = 39 - 39. Let p(x) be the second derivative of 0*x**3 + n*x**2 + 0*x**4 + 3/25*x**5 - 2*x + 0 + 2/5*x**6 + 5/14*x**7. Find w, given that p(w) = 0.
-2/5, 0
Suppose 0 = -3*l + 5*x + 26, 0*l + 4*l + 2*x = 0. Let o be l/7 - (512/(-84))/16. Factor 2/3*r + 0 + o*r**2.
2*r*(r + 1)/3
Let s(d) be the first derivative of -2*d**5/15 - 5*d**4/8 + 4*d**3/3 - 5*d**2/12 - 48. Solve s(h) = 0.
-5, 0, 1/4, 1
Suppose -4*l + 2*l - 12 = 0. Let m be ((-21)/l)/(2/4) + -3. Factor -6/5*s + 0 - 2/5*s**3 - 2*s**2 + 2/5*s**m.
2*s*(s - 3)*(s + 1)**2/5
Let n(i) = i**4 + 77*i**3 - 5*i**2. Let k(s) = -4*s**4 - 232*s**3 + 16*s**2. Let y(j) = -5*k(j) - 16*n(j). Factor y(o).
4*o**3*(o - 18)
Let d be (-48)/(-14) - 3/7. Let l be 4/2 + d + 0. Let 4*h**2 - 11 - l + h + 7*h - 2*h**3 = 0. What is h?
-2, 2
Let t(c) be the second derivative of -c**4/42 + 2*c**3/7 + 95*c. Factor t(j).
-2*j*(j - 6)/7
Let u be (-6)/10*(-2 + (-1 - 2)). Suppose -i = -5*m - 11 + 75, -24 = -3*m - u*i. Let -3/2*l**5 - 24*l**3 + m*l**2 + 21/2*l**4 + 24*l - 24 = 0. Calculate l.
-1, 2
Let k(o) be the third derivative of -o**8/1680 - 2*o**7/315 - o**6/45 - 11*o**4/24 + 18*o**2. Let c(x) be the second derivative of k(x). Factor c(w).
-4*w*(w + 2)**2
Let u be (-7)/(-14) - 21/2. Let p(h) = -5*h - 50. Let a be p(u). Solve 8/5*z**4 + 0*z + 4/5*z**3 - 21/5*z**5 + 0*z**2 + a = 0.
-2/7, 0, 2/3
Let t(s) be the first derivative of s**2 - 4/7*s - 1/21*s**6 - 1 + 1/7*s**4 + 4/35*s**5 - 16/21*s**3. Factor t(m).
-2*(m - 1)**4*(m + 2)/7
Let q(j) be the second derivative of -3/14*j**7 - 1/5*j**6 + 9/10*j**5 + 0 - 3*j**2 - 8*j - 3/2*j**3 + j**4. Solve q(m) = 0.
-1, -2/3, 1
Let r(u) be the third derivative of u**7/735 + u**6/420 - u**5/70 - u**4/84 + 2*u**3/21 - u**2 - u. Factor r(a).
2*(a - 1)**2*(a + 1)*(a + 2)/7
Let s(c) be the second derivative of 0*c**3 + 1/120*c**5 + 17*c + 0*c**2 + 0 - 1/180*c**6 + 1/36*c**4. Factor s(r).
-r**2*(r - 2)*(r + 1)/6
Let v(d) be the first derivative of 1/6*d**4 + 0*d + 26 + 4/9*d**3 + 1/3*d**2. Factor v(y).
2*y*(y + 1)**2/3
Let r(j) = j**3 + 18*j**2 - 47*j + 24. Let p(v) = -v**3 - v. Let m(t) = -2*p(t) + r(t). Factor m(f).
3*(f - 1)**2*(f + 8)
Let t(v) be the third derivative of v**9/136080 - v**7/11340 - 7*v**5/60 - 9*v**2. Let f(o) be the third derivative of t(o). Let f(q) = 0. Calculate q.
-1, 0, 1
Suppose 24*m**3 + 42*m + 16 - 5*m + 2*m**4 + 11*m + 52*m**2 + 2*m**4 = 0. Calculate m.
-2, -1
Let d(a) be the third derivative of a**5/30 - a**4/3 + 52*a**2. Factor d(r).
2*r*(r - 4)
Let z(j) = -j. Let h(i) = i**2 - 9*i - 8. Let n(m) = h(m) - 2*z(m). Solve n(p) = 0 for p.
-1, 8
Let g(m) = m**3 - 6*m**2 - 7*m - 1. 