+ c**4 - 2*c + 1/3*c**6 - 4/3*c**3 - 3*c**t. Factor a(o).
2*(o - 1)*(o + 1)**4
Factor 99/7 + 24/7*a - 3/7*a**2.
-3*(a - 11)*(a + 3)/7
Suppose -2*y + 7*y - f = 11, f = -2*y + 10. Let 0*x - 1/8*x**4 + 0*x**2 + 0 - 1/8*x**y = 0. Calculate x.
-1, 0
Let n = -703 + 4924/7. Factor 6/7*c + 3/7*c**2 + n.
3*(c + 1)**2/7
Suppose 0 = q + 3*s - 18, 0 = 3*q - 0*s + 5*s - 34. Factor -q*v**2 + 0*v**4 + 9*v + 3*v**4 + 3*v**3 - 12*v.
3*v*(v - 1)*(v + 1)**2
Let l(n) be the third derivative of n**6/120 - 2*n**5/5 - 17*n**4/8 - 13*n**3/3 - 4*n**2 + 54*n. Suppose l(w) = 0. What is w?
-1, 26
Let n(s) = -s + 3. Let p be n(-17). Let f be 38/p - (4/(-5))/(-2). Factor 9/4*d**2 - 3/4*d**3 - f*d + 0.
-3*d*(d - 2)*(d - 1)/4
Let u(h) be the first derivative of 1/5*h**2 + 3 + 1/10*h**4 + 4/15*h**3 + 0*h. Find o, given that u(o) = 0.
-1, 0
Factor 421*w**3 - 10 + 2*w - 851*w**3 + 428*w**3 + 10*w**2.
-2*(w - 5)*(w - 1)*(w + 1)
Let 8 + 43/3*v**2 + 58/3*v - 1/3*v**4 + 8/3*v**3 = 0. What is v?
-2, -1, 12
Let j = -6 - -9. Let m be (0/40)/(1 - 3). Factor 0*a - 1/2*a**j + m - 1/2*a**2.
-a**2*(a + 1)/2
Find n, given that -2*n - 20/7 - 2/7*n**2 = 0.
-5, -2
Let z(a) = -6*a**3 - 45*a**2 + 22*a - 12. Let t be z(-8). Factor 1/2*s**3 + 0*s + 0*s**2 - 1/2*s**5 + 0 + 0*s**t.
-s**3*(s - 1)*(s + 1)/2
Let f(i) = i**2 + 17*i + 71. Let a be f(-11). Suppose 0 = -3*l - 0*l. Let 2*z**2 - z**5 + l - 7*z**a - 12*z**3 + 0 + 18*z**4 = 0. Calculate z.
0, 1/4, 1
Let c(n) be the first derivative of -2*n**3/15 - 10*n**2 - 98*n/5 + 16. Factor c(u).
-2*(u + 1)*(u + 49)/5
Suppose -3*p = 2*v + 2, -4*v - 3*p + 1 = -1. Factor -3*t**4 + 14*t**3 + 0*t**4 + 3*t**v - 14*t**3.
-3*t**2*(t - 1)*(t + 1)
Let v = -34 + 36. Suppose 3*z - v*a = -2, z + z + 3*a = 16. Solve -2/9*g**z - 10/9*g - 2/3 + 2/9*g**3 = 0.
-1, 3
Let 0*b - 1/2*b**4 + 7/4*b**5 + 1/2*b**2 - 7/4*b**3 + 0 = 0. Calculate b.
-1, 0, 2/7, 1
Suppose -3*t - 37 = r, 4*t - 6*t = -4*r - 92. Let x = r - -31. Determine g so that -3*g**2 - 1/2*g**3 - 4 - x*g = 0.
-2
Find s, given that 75 + 3*s**4 + 18*s**2 - 162*s + 24*s + 24*s**3 + 18*s = 0.
-5, 1
Suppose p - 9 = -5*g, 0 = 12*g - 11*g - p - 3. Let -89*v**g + 2*v**4 - 10*v**4 + 5*v**4 - 336*v - 91*v**2 - 39*v**3 - 192 = 0. What is v?
-4, -1
Let m = 28 + -26. Let g(t) be the third derivative of t**3 - 1/20*t**6 - 2*t**m + 0*t - 3/20*t**5 + 0 + 3/8*t**4. Solve g(x) = 0.
-2, -1/2, 1
Let n(x) be the second derivative of -x**5/16 + 5*x**4/16 + 5*x**3/6 + 119*x - 2. Factor n(d).
-5*d*(d - 4)*(d + 1)/4
Let g(w) be the third derivative of 0*w + 4*w**2 + 0 - 1/90*w**5 + 0*w**4 + 1/540*w**6 + 1/6*w**3. Let h(a) be the first derivative of g(a). Factor h(b).
2*b*(b - 2)/3
Let g(j) be the second derivative of j**6/135 + j**5/9 + 29*j**4/54 + 32*j**3/27 + 4*j**2/3 + 3*j - 8. Solve g(f) = 0.
-6, -2, -1
Let f be (3/(-24)*10)/((-3)/24). Let i(x) be the second derivative of 0 + x**2 + 1/2*x**3 - 1/20*x**5 + f*x + 0*x**4. Factor i(m).
-(m - 2)*(m + 1)**2
Suppose -31*l + 42 = -20. Suppose 1/4*z + 0 + 1/4*z**l = 0. What is z?
-1, 0
Let m(c) be the first derivative of -c**6/2 - 6*c**5/5 + 9*c**4/2 + 8*c**3 - 15*c**2/2 - 18*c + 283. Determine b so that m(b) = 0.
-3, -1, 1, 2
Let r(f) be the third derivative of -f**5/285 - 127*f**4/228 - 21*f**3/19 - 447*f**2. Find j, given that r(j) = 0.
-63, -1/2
Determine n so that -10/7*n**2 - 2*n**3 - 8/7 + 32/7*n = 0.
-2, 2/7, 1
Solve -188*j**2 - 68*j**3 + 2*j**5 + 2*j**5 + 28*j**4 + 224*j**2 = 0 for j.
-9, 0, 1
Let c(z) = z + 22. Let r be c(-16). Suppose 10 = 5*k - 0. Find t such that -t - r*t**3 - 4*t + k - 10*t**2 + 3*t = 0.
-1, 1/3
Let x(h) = 2 - 290*h + 88*h - 9 - 743*h**2. Let f(u) = 495*u**2 + 135*u + 5. Let r(k) = -8*f(k) - 5*x(k). Solve r(p) = 0 for p.
-1/7
Let l(n) be the third derivative of 0 - 1/285*n**6 - 1/1995*n**7 + 0*n**4 + 12*n**2 - 1/190*n**5 + 0*n + 0*n**3. Factor l(i).
-2*i**2*(i + 1)*(i + 3)/19
Let m be 14/6 + (-24)/(-36). Let j(t) be the third derivative of 0 - 5/24*t**4 - 2/3*t**m - 1/60*t**5 - 4*t**2 + 0*t. Suppose j(o) = 0. Calculate o.
-4, -1
Let v(i) = i**2 + i. Let y(f) = -4*f**2 - 3*f + 1. Let k = 35 + -30. Let u(t) = k*v(t) + y(t). Suppose u(w) = 0. Calculate w.
-1
Let p(s) be the second derivative of -3*s**6/20 - 11*s**5/8 - 259*s**4/72 - 5*s**3/12 + 3*s**2/2 + 182*s. Suppose p(m) = 0. Calculate m.
-3, -1/3, 2/9
Let a(c) be the second derivative of c**8/33600 + c**7/4200 - c**6/900 - 4*c**4/3 - 7*c. Let x(w) be the third derivative of a(w). Factor x(m).
m*(m - 1)*(m + 4)/5
Factor 8*p**2 + 3*p**3 - 4*p**3 - 559 + 509 - 5*p.
-(p - 5)**2*(p + 2)
Let z(l) be the third derivative of 0*l - 1/12*l**4 - 24*l**2 + 1/240*l**5 + 0 + 7/24*l**3. Factor z(p).
(p - 7)*(p - 1)/4
Let c(z) be the third derivative of z**5/20 + 5*z**4/4 + 8*z**3 - 47*z**2. Factor c(i).
3*(i + 2)*(i + 8)
Let n be (7/84)/(52/312). Suppose 1/8*o**4 - n*o + 0*o**2 + 0 + 3/8*o**3 = 0. What is o?
-2, 0, 1
Solve -9/4*d + 9/4*d**4 + 3/2*d**3 + 3/4*d**5 - 3/4 - 3/2*d**2 = 0 for d.
-1, 1
Factor 787*j + j**3 - 1062*j - 45*j**2 + 950*j - 3375.
(j - 15)**3
Let p(d) be the third derivative of -d**8/560 - d**7/56 - d**6/20 + d**5/10 + d**4 - 2*d**3 - 20*d**2. Let t(w) be the first derivative of p(w). Factor t(m).
-3*(m - 1)*(m + 2)**3
Suppose 5*u - j = 1541, 3*j - 144 + 1677 = 5*u. Let d be 34/(-187) - u/(-66). Factor -3*x**2 + d*x - 3/2.
-3*(x - 1)*(2*x - 1)/2
Let j(q) be the third derivative of q**8/2352 + q**7/147 + q**6/35 - 147*q**2 - 1. Let j(r) = 0. What is r?
-6, -4, 0
Let a(c) be the first derivative of c**6/39 - 16*c**5/65 - c**4/26 + 16*c**3/39 - 175. Suppose a(r) = 0. What is r?
-1, 0, 1, 8
Let t(f) be the first derivative of -f**6/2 + 69*f**5/5 - 273*f**4/4 - 503*f**3 - 156*f**2 + 2028*f + 150. Solve t(b) = 0 for b.
-2, 1, 13
Factor 0 + 32/11*w - 16/11*w**2 + 2/11*w**3.
2*w*(w - 4)**2/11
Suppose -21*a = -19*a. Let l = 2/43 - -408/473. Solve -l*u**3 + a - 14/11*u**2 - 4/11*u = 0.
-1, -2/5, 0
Suppose 0 = -4*k - 8 + 20. Suppose k + 2*w**2 + 108*w - 102*w + w**2 = 0. Calculate w.
-1
Let f(w) be the first derivative of 0*w**2 + 5*w - 3/140*w**5 - 12 + 1/7*w**4 + 0*w**3. Let i(y) be the first derivative of f(y). Factor i(t).
-3*t**2*(t - 4)/7
Let u(l) be the second derivative of -l**5/120 + l**4/8 - 9*l**2 + 2*l - 8. Solve u(c) = 0 for c.
-3, 6
Let c(w) be the first derivative of w**6/3 + 58*w**5/5 + 51*w**4/2 - 170*w**3/3 - 104*w**2 + 216*w + 152. Solve c(t) = 0 for t.
-27, -2, 1
Suppose -2*s = -2*z + 10, z + 5*s = -0*s + 11. Let y be 441/(-28)*(-4 - 0). Factor -y*n + 6*n**3 - z*n**4 + 2*n**5 - 2*n**2 + 63*n.
2*n**2*(n - 1)**3
Let w be 12/(-87)*1/(-2). Let h = w + 226/87. Find l, given that 2/3*l**4 - 8/3 + 2*l**2 - h*l + 8/3*l**3 = 0.
-2, -1, 1
Suppose 2*d + 55 = d. Let c be d/(-30) + 1/6. Factor 2*l + 22*l**3 + l**4 + 12*l**c + 7*l**4 - 4*l**3.
2*l*(l + 1)**2*(4*l + 1)
Let u(m) = 2*m**3 - 68*m**2 - 73*m + 107. Let t be u(35). Find p such that 0*p**3 + 0*p - 4/3 - 4/3*p**4 + 8/3*p**t = 0.
-1, 1
Let d(g) = 3*g**3 + 2*g**2 - 21*g + 16. Let f(x) be the third derivative of -x**5/60 + x**3/6 - 16*x**2. Let o(m) = -d(m) + 4*f(m). Let o(s) = 0. Calculate s.
-4, 1
Let j(i) be the third derivative of 0*i + 1/50*i**6 - 1/50*i**5 - 2/5*i**3 + 11*i**2 + 0 - 1/4*i**4. Suppose j(k) = 0. What is k?
-1, -1/2, 2
Let y(k) be the second derivative of 0*k**2 - 9*k + 0 - 1/2*k**3 - 1/12*k**4. Factor y(b).
-b*(b + 3)
Let u = -917 + 917. Let m(q) be the third derivative of 0*q + 1/9*q**3 - 1/60*q**6 - 4*q**2 - 1/90*q**5 + u + 1/12*q**4. Suppose m(g) = 0. What is g?
-1, -1/3, 1
Determine k so that 20/7 + 8/7*k**4 - 100/7*k**2 + 18/7*k**3 + 54/7*k = 0.
-5, -1/4, 1, 2
Let h be (9 - 1) + 114 + -117. Let b(j) be the first derivative of 0*j + 2/15*j**h + 0*j**2 + 9 - 1/2*j**4 + 4/9*j**3. Find c, given that b(c) = 0.
0, 1, 2
Factor 10/7*f**2 - 2/7*f**5 + 4/7*f + 6/7*f**3 + 0 - 2/7*f**4.
-2*f*(f - 2)*(f + 1)**3/7
Let w(f) be the second derivative of -5*f**7/42 - 25*f**6/6 + 53*f**5/4 - 45*f**4/4 + 19*f. Factor w(u).
-5*u**2*(u - 1)**2*(u + 27)
Let f(h) be the first derivative of -5*h**3/3 - 55*h**2 - 105*h + 513. Determine q so that f(q) = 0.
-21, -1
Let q be -5*36/45 - (64/28 - 8). Solve 6/7*h - 33/7*h**3 - q*h**4 + 0 - 15/7*h**2 = 0 for h.
-2, -1, 0, 1/4
Let q = -1556/13 + 9427/78. Factor 0 - b**2 + q*b - 1/6*b**3.
-b*(b - 1)*(b + 7)/6
Le