 - 5*i + 15/14*i**7 + 1/12*i**4. Solve s(w) = 0.
-1/3, -1/5, 0
Let l(c) = -5*c - 4. Let q be l(0). Let b(p) = 6*p + 28. Let m be b(q). Factor -2/7*d**m + 2/7*d**2 - 2/7*d + 2/7*d**3 + 0.
-2*d*(d - 1)**2*(d + 1)/7
Let l(b) be the second derivative of -3*b**5/40 + 7*b**3/4 + 9*b**2/2 + 2*b - 44. Factor l(m).
-3*(m - 3)*(m + 1)*(m + 2)/2
Find b, given that -36/17*b + 0 + 8/17*b**3 + 2/17*b**4 - 30/17*b**2 = 0.
-6, -1, 0, 3
Let g(m) = -2*m**4 + 2*m**3 - 4*m. Let b = 44 - 48. Let o(w) = -2*w**4 + 2*w**3 - w**2 - 5*w. Let v(f) = b*o(f) + 5*g(f). Factor v(r).
-2*r**2*(r - 2)*(r + 1)
Let s be 2/(-6)*(-4 + 4) - -65. Suppose s*v = 66*v. Find r such that 3/4*r**2 - 3/4 + 3/8*r**5 + 9/8*r - 3/2*r**3 + v*r**4 = 0.
-2, -1, 1
Let m = 89 + 151. Suppose 0 = -y - 0*y + 200. Factor -35*j**4 - 35*j**4 - 9*j**5 + 32 - 52*j - y*j**3 - m*j**2 - 28*j.
-(j + 2)**4*(9*j - 2)
Let b be (-110)/(-35) - (-1 + (-8)/(-7)). Find w, given that 6*w + 2*w + 18*w**b - 3*w**5 + 24*w**2 + w = 0.
-1, 0, 3
Suppose -4*z + 152 = -2*r, 4*r + 47 - 9 = z. Suppose 5*m + 50 = 5*j, 5*j - m - z + 8 = 0. Factor -8/7*c**j + 0*c + 0*c**2 + 6/7*c**4 + 2/7*c**3 + 0.
-2*c**3*(c - 1)*(4*c + 1)/7
Let -182 + 84 + 28*t + 78 + 48*t**2 = 0. What is t?
-1, 5/12
Let b be 3 - (-3 + 5) - 64/10. Let k = b + 59/10. Determine c, given that k*c - 1/4*c**2 - 1/4 = 0.
1
Let k(m) be the first derivative of m**3/3 - 2*m**2 - 12*m - 23. Find l, given that k(l) = 0.
-2, 6
Let q(d) be the first derivative of -d**7/840 + d**5/120 - 5*d**3/3 - 7. Let w(b) be the third derivative of q(b). Factor w(a).
-a*(a - 1)*(a + 1)
Let h(f) be the first derivative of -2*f - 1/15*f**5 + 0*f**2 + 1/45*f**6 + 0*f**3 - 1/6*f**4 - 6. Let n(w) be the first derivative of h(w). Factor n(p).
2*p**2*(p - 3)*(p + 1)/3
Let z = 37721/9 - 4191. Factor z*p**2 + 0 + 4/9*p.
2*p*(p + 2)/9
Let c(y) be the first derivative of 0*y**3 + 1/16*y**6 - 3/10*y**5 + 9/32*y**4 + 10 + 0*y**2 + 0*y. Factor c(g).
3*g**3*(g - 3)*(g - 1)/8
Factor 5*a**2 + a**3 + 200 - 621 + 3*a + 208 + 204.
(a - 1)*(a + 3)**2
Let m(j) be the first derivative of -2*j**3/3 - 10*j**2 - 50*j - 62. Factor m(q).
-2*(q + 5)**2
Let r = 4220/3 - 1406. Let -2*x**3 - r*x**4 + 0 - 4/3*x**2 + 0*x = 0. What is x?
-2, -1, 0
Let v be 648/315 - (-16)/(-280). Let n(j) be the second derivative of -1/10*j**v + 0 + 1/60*j**4 + 12*j + 0*j**3. Factor n(o).
(o - 1)*(o + 1)/5
Find f such that -343/2*f**4 - 168*f**2 + 294*f**3 + 32*f + 0 = 0.
0, 4/7
Let n be -2*(-12)/42 - (-177)/(-420). Let s(b) be the first derivative of -3/10*b**2 + n*b**4 - 3/5*b**3 + 2 + 9/25*b**5 + 0*b. Determine k so that s(k) = 0.
-1, -1/3, 0, 1
Suppose -2*h**4 + 36565*h + 2*h**2 + 0*h**4 + 0*h**2 + 20*h**3 - 36585*h = 0. Calculate h.
-1, 0, 1, 10
Factor -42/5*o**3 - 3/5*o**4 + 0 - 36/5*o - 15*o**2.
-3*o*(o + 1)**2*(o + 12)/5
Factor -2583672 - 42588*c - 234*c**2 - 3/7*c**3.
-3*(c + 182)**3/7
Let n = 10 + -22. Let p = 20 + n. Solve -2*l**4 - 4 - p*l + 0*l**2 - 8*l**3 - 12*l**2 + 2 = 0 for l.
-1
Find g, given that -128/11*g**2 - 24*g + 2/11*g**3 + 0 = 0.
-2, 0, 66
Let a(r) be the second derivative of -23*r + 3/70*r**5 - 1/294*r**7 + 0 + 1/14*r**3 + 2/21*r**4 + 0*r**6 + 0*r**2. Factor a(u).
-u*(u - 3)*(u + 1)**3/7
Let o = 15 - 13. Let g(p) = 6*p**2 - 10 - 2 + 60*p - o. Let k(q) = q**2 + 12*q - 3. Let v(u) = -3*g(u) + 14*k(u). Determine r so that v(r) = 0.
-3, 0
Factor 0*h + 11/6*h**2 - 1/6*h**5 + 7/2*h**3 + 0 + 3/2*h**4.
-h**2*(h - 11)*(h + 1)**2/6
Let a(s) be the third derivative of s**7/105 - s**5/15 + s**3/3 + 227*s**2. Find c such that a(c) = 0.
-1, 1
Let d(t) be the third derivative of t**8/26880 - t**7/4032 + t**6/1440 - 4*t**5/15 - 14*t**2. Let j(v) be the third derivative of d(v). Let j(f) = 0. What is f?
2/3, 1
Let a(q) be the first derivative of 3*q**4/32 + 7*q**3/8 - 3*q**2/2 + 113. Factor a(l).
3*l*(l - 1)*(l + 8)/8
Let t(z) = 6*z**2 - 22*z. Let c(p) = -13*p**2 + 45*p. Let o = -62 + 67. Let i(s) = o*t(s) + 2*c(s). Factor i(j).
4*j*(j - 5)
Let f be (-230)/(-880)*3 + 1/8. Factor -4/11 - f*t**2 + 14/11*t.
-2*(t - 1)*(5*t - 2)/11
Factor 4*h**2 + 39*h - 70 - 98*h + h**2 + 34*h.
5*(h - 7)*(h + 2)
Let w = -17 - -11. Let r = 8 + w. Factor 7*l**2 + 3 - 6*l + 1 - 6*l**r + l**2.
2*(l - 2)*(l - 1)
Let t(v) = 2*v**2 + 5*v + 4. Let w be t(-2). Factor -2*q**w - 12*q + 21*q + 6 - 13*q.
-2*(q - 1)*(q + 3)
Suppose -c + 5*c - 3*r = 1280, 0 = -r. Factor 4 - 125*i**3 - 37 - 27 - c*i - 475*i**2.
-5*(i + 3)*(5*i + 2)**2
Let d(k) = -14*k**3 - 18*k**2 + 12*k - 24. Let a(z) = z**3 + z**2 - z + 2. Let m(c) = 12*a(c) + d(c). Suppose m(p) = 0. Calculate p.
-3, 0
Let p(d) be the third derivative of d**7/1470 + d**6/840 - 3*d**5/140 - 3*d**4/56 + 108*d**2. Factor p(t).
t*(t - 3)*(t + 1)*(t + 3)/7
Let m(c) be the first derivative of -4*c + 2/3*c**3 + c**2 - 12. Factor m(d).
2*(d - 1)*(d + 2)
Let f(u) = 9*u**2 + u - 7. Let t(z) = 5*z**2 + z - 4. Let b(q) = 4*f(q) - 7*t(q). Find a such that b(a) = 0.
0, 3
Factor -15/2*r + 1/2*r**3 - 18 + r**2.
(r - 4)*(r + 3)**2/2
Let o = 158 + -151. Factor -8*x - 2*x**3 + x**3 + 73 - 89 + o*x**2.
-(x - 4)**2*(x + 1)
Let z(v) be the third derivative of v**6/900 + v**5/50 - 17*v**4/90 + 8*v**3/15 + v**2 - v. Solve z(p) = 0 for p.
-12, 1, 2
Let u(p) be the first derivative of -6*p**4 + 12/5*p**5 - 1/3*p**6 - 7 + 20/3*p**3 - 3*p**2 + 0*p. Solve u(x) = 0.
0, 1, 3
Factor 0 + 28/5*w - 2/5*w**2.
-2*w*(w - 14)/5
Let b(p) = p**2 - 2*p + 2. Let o(g) = 11 + 0 + 2*g**2 - 11*g + 0*g**2 + 4*g**2. Let d(l) = -39*b(l) + 6*o(l). Factor d(s).
-3*(s - 2)**2
Let x(k) = -2*k**3 + 16*k**2 - 16*k - 4. Let h(l) = -2*l**3 + 15*l**2 - 16*l - 3. Let w(z) = -4*h(z) + 3*x(z). Factor w(a).
2*a*(a - 4)*(a - 2)
Let p = -39 + 42. Factor -136*a**p + 0*a + 0*a - 10*a**2 + 101*a**3.
-5*a**2*(7*a + 2)
Let m = 255/14 - 725/42. Find q such that 2/21*q**2 + 50/21 - m*q = 0.
5
Let y = 263 - 267. Let b be (-3 + y/(-4))*8/(-4). Find x, given that 0*x - 132/7*x**b + 4*x**5 + 16/7 + 212/7*x**3 - 124/7*x**2 = 0.
-2/7, 1, 2
Find x such that -21/4*x + 3/4*x**4 - 15/4*x**3 + 0 - 39/4*x**2 = 0.
-1, 0, 7
Let g(s) = 5*s**3 + 16*s**2 - 8*s - 5. Let k(f) = -2*f**3 - 8*f**2 + 4*f + 3. Let j = -4 - 1. Let r(h) = j*k(h) - 3*g(h). Let r(n) = 0. Calculate n.
-2, 0, 2/5
Let k(o) be the second derivative of o**4/30 + 13*o**3/15 - 6*o**2 + 12*o. Suppose k(f) = 0. Calculate f.
-15, 2
Let y = 67 + -18. Let n = 52 - y. Factor 3/4*o**n - 3/4*o + 3/4*o**2 - 3/4*o**4 + 0.
-3*o*(o - 1)**2*(o + 1)/4
Let d(g) = -3*g + 6 + g**2 - 3*g**2 - 2*g + 3*g. Let t(a) = 2*a**2 + 3*a - 5. Let h(l) = 6*d(l) + 4*t(l). Determine x, given that h(x) = 0.
-2, 2
Let w = 3/5 + -23/40. Let r(t) be the second derivative of 0*t**6 - t + 0 + 0*t**4 + w*t**5 + 0*t**2 + 0*t**3 - 1/84*t**7. Factor r(m).
-m**3*(m - 1)*(m + 1)/2
Let x be (20 - 282/12)/((-14)/8). Factor 0 - 12/7*y**x + 6/7*y + 6/7*y**3.
6*y*(y - 1)**2/7
Let d(w) = 9*w**4 + 25*w**3 - 91*w**2 + 99*w - 34. Let j(i) = -9*i**4 - 24*i**3 + 93*i**2 - 99*i + 33. Let s(r) = 3*d(r) + 4*j(r). Solve s(p) = 0 for p.
-5, 2/3, 1
Suppose 1 + 17 = -3*s. Let c = -4 - s. Factor 4*f**2 + 0*f**4 - 3*f + 5*f + 6*f**3 + c*f**2 + 2*f**4.
2*f*(f + 1)**3
Let k = -2887/40 + 587/8. Suppose -4/5 - k*d - 2/5*d**2 = 0. Calculate d.
-2, -1
Suppose -4*s + 17 = -3. Let m(u) = -u + 11. Let l be m(s). Determine c, given that -2*c**3 - 30*c + l*c**2 + 27*c - c**3 = 0.
0, 1
Factor -14/5*n**4 - 2/5*n**5 - 36/5*n**3 - 26/5*n - 6/5 - 44/5*n**2.
-2*(n + 1)**4*(n + 3)/5
Let x(n) be the first derivative of -n**6/720 + n**5/40 - 15*n**3 - 37. Let y(m) be the third derivative of x(m). Find s such that y(s) = 0.
0, 6
Let r = -5225/4 - -1307. Find a, given that 3/2*a**4 + r*a + 0 - 3/2*a**2 + 0*a**3 - 3/4*a**5 = 0.
-1, 0, 1
Suppose 0 = 5*d - 5*h - 112 - 28, 2*h = -4*d + 124. Suppose -5*z + d = 5*z. Factor -3/4*s**z + 0 + 0*s**2 + 3/4*s.
-3*s*(s - 1)*(s + 1)/4
Let d be (9/6)/(27/(-8) - -3). Let f be d/20*0 + 3. Factor -1/5*z**4 + 0 - 1/5*z - 3/5*z**f - 3/5*z**2.
-z*(z + 1)**3/5
Let s be 3*164/6 - -3. Let o = -85 + s. Factor -m**2 + 1/3*m**3 + o + 2/3*m.
m*(m - 2)*(m - 1)/3
Let t(y) be the second derivative of -y**10/10080 + 3*y**8/2240 + y**7/420 - 7*y**4/4 + 5*y. Let o(b) be the third derivative of t(b). Factor o(i).
-3*i**2*(i - 2)*(i + 1)**2
Suppose 4*v + 74 = 5*a, -3*v = 3*a - 2*v - 58. Suppose 3*h 