- 110*r - 100. Let j(q) = -5*q**4 + 34*q**3 + 26*q**2 - 37*q - 33. Let h(c) = -8*j(c) + 3*x(c). Solve h(w) = 0 for w.
-1, 1, 18
Let s(q) be the first derivative of q**6/24 - q**5/20 - 3*q**4/8 + 38. Factor s(a).
a**3*(a - 3)*(a + 2)/4
Let u(r) be the third derivative of -13*r**5/30 - 53*r**4/12 - 4*r**3/3 + 2*r**2 + 107. Factor u(t).
-2*(t + 4)*(13*t + 1)
Let y(k) be the third derivative of k**8/80640 - k**7/4032 + k**5/10 + 12*k**2. Let j(m) be the third derivative of y(m). Factor j(s).
s*(s - 5)/4
Let s(i) be the second derivative of 1/6*i**3 + 0*i**2 + 1/36*i**4 + 0 - 28*i. Suppose s(h) = 0. Calculate h.
-3, 0
Let b(m) = -4*m**4 + 20*m**3 - 32*m**2 - 24*m + 28. Let l(h) = -h**3 - h**2 - 1. Let q(j) = -b(j) + 4*l(j). Solve q(x) = 0 for x.
-1, 1, 2, 4
Find l, given that 16*l + 6*l**2 + 2/3*l**3 + 40/3 = 0.
-5, -2
Let q(g) be the first derivative of 2*g - 3*g**2 - 6*g**3 + 50 + 27/2*g**4. Determine v, given that q(v) = 0.
-1/3, 1/3
Let o be 136 + -146 + 142/7. Factor 0 - 6/7*f - o*f**3 + 27/7*f**4 + 39/7*f**2.
3*f*(f - 2)*(3*f - 1)**2/7
Solve 20*d**3 - 1086*d**2 + 1086*d**2 + 39*d**4 - 44*d**4 = 0 for d.
0, 4
Factor -3/2*f**2 + 9*f + 60.
-3*(f - 10)*(f + 4)/2
Let p = 7132/3 + -2372. Determine b, given that -p + 20/3*b**4 - 4/3*b**2 - 32/3*b + 4/3*b**5 + 28/3*b**3 = 0.
-2, -1, 1
Let j(d) be the first derivative of -d**6/18 + 3*d**5/5 - 23*d**4/12 - d**3 + 18*d**2 - 36*d + 135. Factor j(h).
-(h - 3)**3*(h - 2)*(h + 2)/3
Let p(h) be the second derivative of h**7/7 - 7*h**6/15 + h**5/2 - h**4/6 + 104*h + 2. Suppose p(t) = 0. Calculate t.
0, 1/3, 1
Suppose -4 = -8*h - 12. Let o(x) = x**2 - x. Let a(y) = 7*y**3 + 27*y**2 + 19*y - 8. Let i(t) = h*a(t) + o(t). Determine g, given that i(g) = 0.
-2, 2/7
Determine x, given that -12005 - 33*x**2 + 22*x**2 - 490*x + 6*x**2 = 0.
-49
Suppose 28/9 - 26/9*a**2 + 2*a - 2*a**3 - 2/9*a**4 = 0. Calculate a.
-7, -2, -1, 1
Let a(j) be the first derivative of -3*j**4/4 - j**3 + 114. Determine n, given that a(n) = 0.
-1, 0
Factor -114*m - 3*m**3 + 74*m + 12*m**2 + 20 - 2*m**3 + 13*m**2.
-5*(m - 2)**2*(m - 1)
Let q be -1*(2 - (5 + -1)). Suppose -2 = 5*u + 2*d + q*d, -3*u - 4*d - 6 = 0. Factor -w + u*w**2 - w + 0*w**2 - 4*w.
2*w*(w - 3)
Let h(d) = -d**3 + 3*d**2 + 3*d - 2. Let a be h(4). Let u be (a/(-4))/(4/8). Find b such that 138 + 2*b**2 - 138 + b**u = 0.
-2, 0
Suppose -57 = -69*u - 57. Factor u - 4/3*w**2 + w**3 + 1/3*w.
w*(w - 1)*(3*w - 1)/3
Let s(j) be the second derivative of -j**7/84 + j**6/60 + j**5/20 - j**4/12 - j**3/12 + j**2/4 + 4*j + 8. Solve s(b) = 0 for b.
-1, 1
Let d(l) be the first derivative of -4*l**5/5 + 33*l**4/4 - 92*l**3/3 + 93*l**2/2 - 18*l - 736. Factor d(c).
-(c - 3)**2*(c - 2)*(4*c - 1)
Let g(b) be the third derivative of 0*b - 1/4*b**3 + 1/240*b**5 - 4*b**2 - 1/96*b**4 - 1. Let g(k) = 0. What is k?
-2, 3
Let m be 3/18*(25/2 - -1). Let o(n) = -2*n + 9. Let u be o(3). Factor m*l**2 + 3/4*l**u + 0 + 0*l.
3*l**2*(l + 3)/4
Let m(h) = 26*h**2 - 96*h - 115. Let q(w) = -18*w**2 + 64*w + 77. Let z(f) = -5*m(f) - 7*q(f). Factor z(n).
-4*(n - 9)*(n + 1)
Factor 2 - 2/3*h - 1/6*h**2.
-(h - 2)*(h + 6)/6
Suppose -5*g - 4*v + 271 + 94 = 0, -2*g - 2*v = -148. Let o = 73 - g. Factor 14/5*c**2 - 16/5*c**3 - 4/5*c + 6/5*c**o + 0.
2*c*(c - 1)**2*(3*c - 2)/5
Let n(i) be the second derivative of 0 - 3/80*i**5 - 4*i + 1/8*i**4 + 0*i**3 + 0*i**2. Suppose n(p) = 0. Calculate p.
0, 2
Let q(t) = -t**2 - 5*t + 8. Let j be q(-6). Suppose 2*b - j*b = -4*b. Factor b*n + 3/4*n**4 - 3/4*n**2 + 0 + 0*n**3.
3*n**2*(n - 1)*(n + 1)/4
Factor -62/7*j**2 - 26/7*j**4 + 66/7*j**3 + 20/7*j + 0 + 2/7*j**5.
2*j*(j - 10)*(j - 1)**3/7
Let r = 535 - 535. Factor -2/5*p**3 + 0 - 2/5*p**4 + r*p**2 + 0*p.
-2*p**3*(p + 1)/5
Let 2/13*j**5 + 34/13*j**3 + 0*j - 16/13*j**4 - 20/13*j**2 + 0 = 0. What is j?
0, 1, 2, 5
Determine g, given that 3*g**3 - 8*g**5 + 8*g - 14*g**4 + 3*g**5 + 20*g**2 - 12*g = 0.
-2, 0, 1/5, 1
Let m(y) be the second derivative of y**6/15 + 11*y**5/5 - 12*y**4 + 74*y**3/3 - 25*y**2 + 146*y. Factor m(s).
2*(s - 1)**3*(s + 25)
Suppose 3*i + 2*i - 35 = 0. Let v be 20/36 + i/63. Factor -2/3*g + v*g**2 - 2/9*g**3 + 2/9.
-2*(g - 1)**3/9
Let p be 60/16 + 3/(-4). Factor -t**2 - 2*t**2 + 43*t**p - 46*t**3.
-3*t**2*(t + 1)
Let y(j) = -j. Let k = 43 + -12. Suppose -k*g + 2 = -33*g. Let l(h) = h**2 - h + 1. Let b(m) = g*y(m) - l(m). Factor b(s).
-(s - 1)**2
Factor 0 - 8/7*w**4 + 0*w + 30/7*w**3 - 18/7*w**2.
-2*w**2*(w - 3)*(4*w - 3)/7
Factor 2116 + 3*a - 42*a + 8*a - 61*a + a**2.
(a - 46)**2
Let o(g) be the first derivative of 2*g**5/15 - 2*g**4/9 - 58*g**3/27 - 14*g**2/9 + 16*g/9 - 585. Suppose o(k) = 0. Calculate k.
-2, -1, 1/3, 4
Factor 3/2 - 1/6*y**2 + 0*y.
-(y - 3)*(y + 3)/6
Let r(n) = n**3 - 21*n**2 + 22*n - 38. Let i be r(20). Let s(o) be the first derivative of 0*o + 6 - 3/5*o**i + 2/15*o**3. Factor s(h).
2*h*(h - 3)/5
Suppose 4*x - j = 4*j + 28, x - j - 6 = 0. Suppose 0*u + 5*t = -3*u + 12, -x*u + 8 = -4*t. Factor -r**u - 1/4*r**2 + 0 + 0*r - 5/4*r**3.
-r**2*(r + 1)*(4*r + 1)/4
Factor -68 - 36*v - 64 + 43 - 3*v**2 - 7.
-3*(v + 4)*(v + 8)
Let s(b) be the third derivative of 1/330*b**6 + 1/1155*b**7 - 1/66*b**5 + 0 + 0*b + 26*b**2 + 0*b**3 - 1/22*b**4. Determine o, given that s(o) = 0.
-3, -1, 0, 2
Determine v so that -7*v + 3*v**4 + 11*v + 5*v**2 - 11*v**3 - v = 0.
-1/3, 0, 1, 3
Let n(b) be the first derivative of -b**3/3 - b**2/2 + b - 22. Let a(j) = j**3. Let i(s) = a(s) + n(s). Factor i(w).
(w - 1)**2*(w + 1)
Let n = 161/13 + -454/65. Determine f so that -6/5 - n*f - 21/5*f**2 = 0.
-1, -2/7
Let g = 583 + -578. Let f(h) be the third derivative of 0*h + 0 - 9*h**2 + 1/5*h**3 + 1/6*h**4 + 2/25*h**g + 1/50*h**6 + 1/525*h**7. Factor f(z).
2*(z + 1)**3*(z + 3)/5
Find t, given that 50*t**2 - 10*t**2 - 32*t**2 - 12*t**3 + 4*t**5 = 0.
-2, 0, 1
Let v(y) be the third derivative of 3*y**6/20 - y**5/45 - 322*y**2. Determine q so that v(q) = 0.
0, 2/27
Let u(f) = -8*f**2 + 12*f - 4. Let v(d) = 7*d**2 - 12*d + 5. Let l(m) = 3*u(m) + 4*v(m). What is r in l(r) = 0?
1, 2
Let q(x) be the third derivative of x**9/2520 - x**8/420 + x**7/315 - x**4/24 + 13*x**2. Let b(n) be the second derivative of q(n). Factor b(p).
2*p**2*(p - 2)*(3*p - 2)
Let v(b) be the first derivative of b**4/72 + b**3/12 - b**2/3 + 9*b - 21. Let z(x) be the first derivative of v(x). Factor z(a).
(a - 1)*(a + 4)/6
Let j(t) be the third derivative of -t**7/630 - t**6/90 - t**5/30 - t**4/8 + 8*t**2. Let l(s) be the second derivative of j(s). Factor l(v).
-4*(v + 1)**2
Let z(d) be the first derivative of 2*d**6/15 - d**5/10 - d**4/2 + d**3/3 + d**2 - 2*d - 2. Let g(p) be the first derivative of z(p). Factor g(o).
2*(o - 1)**2*(o + 1)*(2*o + 1)
Let s(h) = h**3 + 29*h**2 - 32*h - 55. Let i be s(-30). Let u(b) be the first derivative of 8*b + 2*b**2 - 1 - 4*b**3 + 4/5*b**i - b**4. Factor u(z).
4*(z - 2)*(z - 1)*(z + 1)**2
Let w(y) be the third derivative of -1/84*y**7 - 1/30*y**5 + 0*y - 1/12*y**4 + 13/240*y**6 + 15*y**2 + 0*y**3 + 0. Factor w(u).
-u*(u - 2)*(u - 1)*(5*u + 2)/2
Let w be (-141)/252 - 201/(-268). Let g(v) be the first derivative of -1/7*v**4 + w*v**3 + 4/7*v**2 + 8 + 0*v. Solve g(t) = 0 for t.
-1, 0, 2
Suppose -135 = -5*w - s, -3*w - s + 68 + 13 = 0. Let l be (w/(-270))/(2/(-8)). Solve -l*t**2 + 4/5*t - 2/5 = 0.
1
Suppose -3*p + 13 = -5. Let f(u) be the third derivative of 1/20*u**5 + 4*u**2 - 1/2*u**3 - 1/40*u**p + 0 + 0*u + 1/8*u**4. Let f(k) = 0. What is k?
-1, 1
Let v be ((-4)/(-5))/(4*4/200). Let x be ((-32)/v + 2)*6/(-9). Determine q so that 0 - x*q - 2/5*q**2 = 0.
-2, 0
Let p be ((-2)/12)/(22/(-1089)). Let x be -3 - 11/((-484)/429). Let -x*q + 3/2 - p*q**2 = 0. What is q?
-1, 2/11
Let t(f) be the second derivative of -f**4/6 - 11*f**3 - 56*f + 2. What is r in t(r) = 0?
-33, 0
Let i(s) be the first derivative of s**5/15 + s**4/12 - 4*s**3/9 - 2*s**2/3 - 87. Factor i(t).
t*(t - 2)*(t + 1)*(t + 2)/3
Let k(i) be the first derivative of 0*i - 2/39*i**3 + 1/39*i**6 + 0*i**2 - 6/65*i**5 + 3/26*i**4 - 11. Factor k(y).
2*y**2*(y - 1)**3/13
Let j(h) be the second derivative of -h**4/16 + 13*h**3/8 + 41*h. Solve j(g) = 0 for g.
0, 13
Let y(m) = -14*m**3 + 6*m**2 - 18*m + 8. Let v(k) = 11*k**3 - 5*k**2 + 17*k - 8. Let u(j) = 6*v(j) + 5*y(j). Find l such that u(l) = 0.