= 0, -3*c + 1 = -4*q. Let a(n) = -4*n. Let j be a(q). Determine h so that -j + 1 + 14*h**2 + 24*h + 0 - 5 = 0.
-2, 2/7
Let p be (-22*5/(-60))/(209/(-33) + 7). Solve -p*b - 1/2 - 9/4*b**2 = 0 for b.
-1, -2/9
Let z be (-4)/(-63)*75/250. Let w = z - -4/15. Factor w*r - 2/7*r**2 + 4/7.
-2*(r - 2)*(r + 1)/7
Suppose 3*p = -g + p - 2, -2 = p. Factor -6*b**2 + 0*b**3 + 3 - 19*b + 6*b**3 - 3*b + g*b**4 - 15.
2*(b - 2)*(b + 1)**2*(b + 3)
Let g be (3 - 3)*8/16. Let c(x) be the third derivative of 0*x + g + 1/60*x**5 - 2/3*x**3 + x**2 + 1/8*x**4. Factor c(s).
(s - 1)*(s + 4)
Let g be 39/(-26) + 3/2. Factor -2*b - b**2 - 1 + 0*b + g*b**2.
-(b + 1)**2
Let l = -9889/3 - -3380. Let z = l - 737/9. Factor -z + 4/9*c**2 + 2/9*c**3 - 8/9*c.
2*(c - 2)*(c + 2)**2/9
Let n(v) = 10*v**2 + 15*v. Let u(c) = -2142*c**2 + 3*c + 2143*c**2 - 2*c. Suppose -4*w - 4 = -0*w. Let z(d) = w*n(d) + 5*u(d). Factor z(y).
-5*y*(y + 2)
Let b(f) be the third derivative of -f**6/780 - f**5/13 - 19*f**4/52 - 28*f**3/39 - 37*f**2. Factor b(m).
-2*(m + 1)**2*(m + 28)/13
Let h(g) = 16*g**3 - 42*g**2 + 30*g + 22. Let s(w) = -17*w**3 + 43*w**2 - 31*w - 23. Let t(q) = 7*h(q) + 6*s(q). Factor t(d).
2*(d - 2)**2*(5*d + 2)
Let j(l) = -3*l - 9. Let p(w) = -2*w - 8. Let t(v) = -3*j(v) + 4*p(v). Let o be t(11). Let -10*f**2 - 3*f + 7*f**2 - 9*f + o*f**2 = 0. Calculate f.
0, 4
Let c(v) be the second derivative of v**4/30 - 4*v**2/5 + 39*v. Factor c(z).
2*(z - 2)*(z + 2)/5
Factor -24/7*s**3 + 12/7*s**4 + 3/7*s**5 - 30/7*s**2 - 30/7 + 69/7*s.
3*(s - 1)**3*(s + 2)*(s + 5)/7
Factor 0 - 58/7*d - 2/7*d**2.
-2*d*(d + 29)/7
Let b be 16/(-20) - 11/(7865/(-682)). Factor 4/13 - 6/13*n + 0*n**2 + b*n**3.
2*(n - 1)**2*(n + 2)/13
Let d(i) be the third derivative of -i**5/210 + 13*i**4/84 - 2*i**3 + 179*i**2 + i. Suppose d(v) = 0. Calculate v.
6, 7
Let s(q) be the third derivative of -q**7/525 - 3*q**6/100 - 7*q**5/75 - q**2 + 24*q. Let s(i) = 0. What is i?
-7, -2, 0
Let i = -805 + 805. Let w(t) be the second derivative of -1/80*t**5 - 7*t + 0 - 1/48*t**4 + 1/12*t**3 + i*t**2. Factor w(g).
-g*(g - 1)*(g + 2)/4
Let a(l) be the first derivative of 4*l**3/3 + 16*l**2 - 80*l + 203. Factor a(q).
4*(q - 2)*(q + 10)
Let k(h) be the second derivative of -40*h - 1/40*h**6 + 0 - 1/2*h**3 - 3/8*h**2 - 3/8*h**4 - 3/20*h**5. Factor k(v).
-3*(v + 1)**4/4
Let b(d) be the first derivative of d**3/4 - 3*d + 7. Factor b(a).
3*(a - 2)*(a + 2)/4
Suppose 0*g = g - 2*q - 16, -4*q - 44 = -4*g. Factor -s**2 + 5*s**3 - 20*s + g*s**3 - 24 - 7*s**3 + 9*s**2.
4*(s - 2)*(s + 1)*(s + 3)
Determine n so that 23/3*n**2 - 12 - 3*n**3 + 1/3*n**5 - n**4 + 8*n = 0.
-2, 1, 3
Let t(s) = 2*s**3 - s. Let n(w) = 50*w**3 - 25*w**2 - 10*w + 15. Let a(c) = -n(c) + 30*t(c). Factor a(d).
5*(d - 1)*(d + 3)*(2*d + 1)
Let z(m) be the third derivative of m**6/180 + 62*m**5/45 + 961*m**4/9 - m**2 + 146. Solve z(b) = 0.
-62, 0
Let x(z) be the second derivative of -z**7/1260 + 7*z**6/720 - z**5/24 + z**4/16 - 11*z**2/2 - 16*z. Let g(k) be the first derivative of x(k). Factor g(m).
-m*(m - 3)**2*(m - 1)/6
Let g(m) = m**3 + 4*m**2 - 129*m - 754. Let p be g(-7). Find l, given that -2/5*l**3 + 6/5*l**p - 6/5*l + 2/5 = 0.
1
Let u be (-12)/7*(-6 + (-40)/(-16)). Let n(w) be the second derivative of -4/3*w**3 - u*w - 1/3*w**4 + 0*w**2 + 0. Solve n(o) = 0 for o.
-2, 0
Solve 459*g**2 + 196*g - 464*g**2 + 39*g - 230 = 0 for g.
1, 46
Let f be ((-222)/((-9)/3))/(-7). Let a = 11 + f. Determine i so that 27/7*i**2 - 2/7 + a*i = 0.
-1/3, 2/9
Let p = 1332 - 1329. Let j(w) be the third derivative of -1/10*w**5 + 0*w + 0 - 3/8*w**4 + 1/112*w**8 + 1/20*w**6 - 1/2*w**p - 9*w**2 + 3/70*w**7. Factor j(d).
3*(d - 1)*(d + 1)**4
Let s(k) be the first derivative of -2*k**5/5 - 7*k**4/2 - 4*k**3 + 28*k**2 + 80*k + 3. What is l in s(l) = 0?
-5, -2, 2
Let -2/11*g**3 + 16/11 - 4/11*g**2 + 8/11*g = 0. Calculate g.
-2, 2
Let a(q) be the second derivative of -3*q**5/20 + 7*q**4/4 + 4*q**3 + 209*q. Solve a(c) = 0 for c.
-1, 0, 8
Let u(t) be the second derivative of -2*t**6/105 - 2*t**5/35 + 26*t + 2. Factor u(b).
-4*b**3*(b + 2)/7
Let k(o) be the second derivative of -9*o**5 + 0 - 3*o - 8*o**4 - 8/3*o**3 - 10/3*o**6 + 0*o**2. Factor k(d).
-4*d*(d + 1)*(5*d + 2)**2
Let f(t) = -41*t**2 + 370*t - 131. Let p(a) = -21*a**2 + 185*a - 66. Let y(g) = -4*f(g) + 9*p(g). Suppose y(k) = 0. Calculate k.
2/5, 7
Let q be (946/(-77) - -10) + 13. Factor -15/7 - q*l**2 - 78/7*l - 12/7*l**3.
-3*(l + 1)*(l + 5)*(4*l + 1)/7
Let b(d) be the second derivative of 7*d - 1/30*d**4 - 1/5*d**2 + 0 - 2/15*d**3. Determine t, given that b(t) = 0.
-1
Let v(c) = -c**3 + 4*c**2 + 1. Let t be v(3). Let -4 - 12 - t*i + 26*i - 4*i**2 = 0. Calculate i.
2
Let c = -2832/5 + 8506/15. Factor -2/3*h + 1/6*h**4 - 4*h**3 + 13/3*h**2 - 1/2 + c*h**5.
(h - 1)**3*(h + 3)*(4*h + 1)/6
Let l = -289 + 163. Let q = l - -632/5. Solve 2/5*w**2 - 4/5 - q*w = 0.
-1, 2
Let d(b) = -2*b. Let z(j) = j**2 + 2*j. Let f(q) = 5*d(q) + 6*z(q). Let i(m) = 13*m**2 + 5*m. Let h(k) = 5*f(k) - 2*i(k). Let h(s) = 0. Calculate s.
0
Solve 4*s**2 - 36/5 + 102/5*s + 8/5*s**5 - 30*s**3 - 24/5*s**4 = 0.
-3, -1, 1/2, 6
Let u be 12*2*(-1)/(-4). Suppose f + 8 = 3*p - 2, 4*f + p = 12. Determine c so that -2*c - u*c**f - 5*c**3 + 2*c**3 + 3*c - 4*c = 0.
-1, 0
Let r(x) = -12*x + 13*x - 17 + 16. Let s(y) = 4 - y**2 - 2*y + y - 2*y. Let k(b) = 5*r(b) + s(b). Factor k(l).
-(l - 1)**2
Let n(d) be the second derivative of -1/35*d**6 + 0*d**2 + 0*d**3 + 10*d - 1/70*d**5 + 0*d**4 + 4/147*d**7 + 0. Determine p, given that n(p) = 0.
-1/4, 0, 1
Let w = 197 - 109. Factor -32*z - 21*z**2 - 59*z**2 - w*z**2 - 196*z**3 - 4*z.
-4*z*(7*z + 3)**2
Let v(x) be the third derivative of x**8/140 + 8*x**7/175 - 7*x**6/200 - 43*x**5/100 + 39*x**4/40 - 9*x**3/10 - 116*x**2. Suppose v(l) = 0. Calculate l.
-3, 1/2, 1
Let b = -1759 - -1759. Factor -3/5*j + 3/5*j**2 + b.
3*j*(j - 1)/5
Factor -6/11*z**2 + 0 - 36/11*z + 6/11*z**3.
6*z*(z - 3)*(z + 2)/11
Factor -17298*h + 2532*h**2 - 2*h**3 + 2292*h**2 - 5196*h**2.
-2*h*(h + 93)**2
Let u be (-86)/(-30) + 10/75. Factor -c**u - 9*c**3 + 7*c**3.
-3*c**3
Let b be 18/(-6) + 1*3. Suppose 3*h - 6 = -b*h. What is x in 0*x + x**2 + 3*x + h*x - 3*x = 0?
-2, 0
Let a = 42 - 39. Factor -2*z**2 + 3*z**3 - 2*z - 3*z**a + z - z**3.
-z*(z + 1)**2
What is t in -8/9 + 2/3*t + 10/9*t**2 - 2/3*t**3 - 2/9*t**4 = 0?
-4, -1, 1
Factor 32/3 - 2/3*y**2 + 32/3*y - 2/3*y**3.
-2*(y - 4)*(y + 1)*(y + 4)/3
Let n(g) be the second derivative of -g**9/3024 - g**8/840 - g**7/840 + g**3/6 + 8*g. Let c(v) be the second derivative of n(v). Let c(p) = 0. What is p?
-1, 0
Let x be 80/18 - 144/324. Let r(a) be the first derivative of 7 + 6*a**4 + x*a + 32/3*a**3 - 36/5*a**5 - 12*a**2. Suppose r(l) = 0. Calculate l.
-1, 1/3, 1
Let n(r) be the second derivative of -2/15*r**5 - 2*r + 1/4*r**2 + 5/9*r**4 + 23/36*r**3 + 0. Factor n(s).
-(s - 3)*(4*s + 1)**2/6
Let x = -4075/9 + 453. Let k be 2/(-2)*-2 - 0. Solve 2/9*v**k - 2/9*v**3 + 2/9*v + 0 - x*v**4 = 0 for v.
-1, 0, 1
Let i = -8 - -12. Find j, given that 4 - 16*j + i*j**2 + 16*j**2 - 5*j**3 - 3*j**3 = 0.
1/2, 1
Let q(b) = -b + 1. Suppose 0 = -18*d + 2*d - 384. Let a(r) = r**2 - 12*r + 11. Let v(m) = d*q(m) + 3*a(m). Factor v(j).
3*(j - 3)*(j - 1)
Suppose -47 = -4*y + 29. Suppose 5*c = y*c - 42. Determine b so that 1/2*b**4 - 12*b + 8 + c*b**3 + 1/2*b**2 = 0.
-4, 1
Suppose 7*m - 15 - 27 = 0. Let k(v) = -8*v**2 - 8*v + 10. Let a(w) = w**2 + w - 1. Let y(l) = m*a(l) + k(l). Solve y(x) = 0 for x.
-2, 1
Factor 16*c - 1 + 19*c + 2*c**2 - 15*c + 43.
2*(c + 3)*(c + 7)
Let v = 17 - 9. Suppose 5*p - 3*p = v. Solve -3*u**4 + p*u**2 + 7*u**4 - 6 + 12*u**3 - 2 + 5*u - 17*u = 0.
-2, -1, 1
Factor -1/2*z**2 - 5/4*z + 1/2 + 5/4*z**3.
(z - 1)*(z + 1)*(5*z - 2)/4
Let v(r) = 2*r**3 - 3*r**2 + r - 2. Let a be v(2). Suppose 0 = 2*j - j + 3*w, 0 = -j + w + a. Find q, given that 2*q - q**5 - j*q + 2*q**3 + 0*q**3 = 0.
-1, 0, 1
Solve -96*p + 2*p**3 - 403 - 17*p**2 - 101 + 57*p**2 - 13*p**2 - 17*p**2 = 0 for p.
-6, 7
Suppose -6*u + 12 = -0*u. Suppose -5*g = -u*a - 3*g + 12, 14 = -a - 4*g. Find x such that -1/3 + 1/3*x - 1/3*x**3 + 1/3*x**a = 0.
-1, 1
Find s, given that -3*s**3 - 2*s**3 - 1867*s - 94*s**2 + 1967*s - s**2 = 0.
-20, 0, 1
Let o be (-6)/(-27)*(-54)/(-15). Find d, given 