 8/9*w - 2/3*w**3 + 0.
w*(w - 2)**3/9
Let n be 59/(-1) + (-10)/(-2). Let y be n/(-24) + 2/(-8). Factor 1/2*d**3 - 1/2 - 3/2*d**y + 3/2*d.
(d - 1)**3/2
Let f(h) be the third derivative of -h**5/75 + h**4/2 + 32*h**3/15 + 271*h**2. Factor f(b).
-4*(b - 16)*(b + 1)/5
Find c, given that -3*c**5 - 409*c + 18 + 7*c**4 + 54*c**3 - 28*c**2 + 358*c + 3*c**4 = 0.
-3, -1, 1/3, 1, 6
Let q(g) = -g**3 + 4*g**2 + 2. Suppose -y - 11 = -17. Let r(h) = 3*h**3 - 9*h**2 - 5. Let u(a) = y*r(a) + 15*q(a). Find c such that u(c) = 0.
-2, 0
Let q(r) be the first derivative of -r**4/6 + 4*r**2 - 5*r - 2. Let o(w) be the first derivative of q(w). Factor o(a).
-2*(a - 2)*(a + 2)
Let s(o) be the third derivative of o**5/60 - o**4/4 + o**3/6 + 6*o**2. Let r(k) = -k**2 + 12*k - 1. Let c(l) = -4*r(l) - 7*s(l). Factor c(d).
-3*(d + 1)**2
Let o(m) = m**2 + 8*m + 18. Let z be o(-5). Let v(r) be the second derivative of 1/50*r**5 + 0 - 1/30*r**4 + r - 2/15*r**z + 0*r**2. Factor v(p).
2*p*(p - 2)*(p + 1)/5
Let k(d) = -d**2 - d. Let x(y) = 4 + 2 - 5 + y. Let u(m) = -4*m - 5. Let i be u(-2). Let f(n) = i*x(n) + 3*k(n). Factor f(g).
-3*(g - 1)*(g + 1)
Let m(l) = 3*l**2 + 3*l + 6. Let b(s) = -s**2 + s. Let r(v) = b(v) - m(v). Let g(f) = f**2 + 1. Let x(t) = 6*g(t) + r(t). Let x(k) = 0. What is k?
0, 1
Let r(w) = 1. Let u(h) = -5*h**2 - 55*h - 46. Let d(c) = -4*r(c) + u(c). Factor d(o).
-5*(o + 1)*(o + 10)
Let c be ((-12)/(-14))/((-10)/(-70)). Let f(d) = d**2 - 4*d - 9. Let s be f(c). Determine n so that -3/2*n**4 + s*n + 0 + 9/2*n**2 + 0*n**3 = 0.
-1, 0, 2
Factor -2/3*u + 0*u**4 + 0 - 2/3*u**5 + 0*u**2 + 4/3*u**3.
-2*u*(u - 1)**2*(u + 1)**2/3
Let c be (0 + -1)/(226/(-112) + 2). Let 9 - c*o**2 + 6*o + 0 + 53*o**2 = 0. What is o?
-1, 3
Suppose 7*v = 2*v - 10. Let q be 2/(-1)*(-3 - v). Factor q*r**3 - r - 5*r**3 + r.
-3*r**3
Let x(t) = 4*t**2 - 3*t - 1. Let w = -131 + 134. Let i(z) = -z**2 + 1. Let m(j) = w*i(j) + x(j). Suppose m(d) = 0. Calculate d.
1, 2
Let x = 44899/55 - 4079/5. Suppose -x*a**3 + 0*a**2 + 0 + 6/11*a = 0. Calculate a.
-1, 0, 1
Let v = -542 - -545. Let m(p) be the first derivative of 8*p + 4*p**2 + 2/3*p**v + 2. Factor m(h).
2*(h + 2)**2
Let p(g) be the third derivative of -g**9/80640 - g**8/26880 + g**7/1680 + g**6/240 + g**5/20 + 2*g**2. Let c(z) be the third derivative of p(z). Factor c(y).
-3*(y - 2)*(y + 1)*(y + 2)/4
Let x(o) be the second derivative of o**2 + 0 - 46*o + 5/18*o**3 + 1/36*o**4. Factor x(f).
(f + 2)*(f + 3)/3
Let o(p) be the second derivative of 8*p**5/15 - 2*p**4/3 + p**2/3 - 31*p. Find f such that o(f) = 0.
-1/4, 1/2
Suppose 35 = 4*i - 25. Let a = i - 13. Factor 2*c - a*c**3 + 4*c + 2*c**3 - 8*c**2 + 2*c**3.
2*c*(c - 3)*(c - 1)
Let b be (-178)/(-1157) + 188/130. Factor 1/5*n**4 - 1/5*n**5 + n**3 - 1/5*n**2 - 4/5 - b*n.
-(n - 2)**2*(n + 1)**3/5
Let b(j) be the third derivative of 0*j + 1/60*j**6 - 6*j**2 + 2/315*j**7 + 0 - 1/9*j**4 - 2/45*j**5 + 0*j**3 - 1/504*j**8. Suppose b(m) = 0. What is m?
-1, 0, 2
Let u(x) be the third derivative of -x**8/4032 + 5*x**7/504 - 25*x**6/144 + 3*x**5/10 - 2*x**2. Let m(o) be the third derivative of u(o). Solve m(n) = 0.
5
Let f(u) be the first derivative of -3*u**4/4 + 5*u**3 + 51*u**2/2 - 63*u - 167. What is m in f(m) = 0?
-3, 1, 7
Suppose 0 = -17*w - 1300 + 3731. Let y be (-10)/(-6) + w/(-99). Let -4/9*a + y*a**2 + 0 = 0. Calculate a.
0, 2
Let i = 143 + -138. Let p(y) be the second derivative of 1/30*y**6 + 0*y**3 + 1/12*y**4 + 0 + 4*y + 0*y**2 - 1/10*y**i. Let p(f) = 0. What is f?
0, 1
Let j be -4 + 10 + 306/(-48) + (-15)/(-40). Suppose 2*w + 3*z = -2, 2*z + 5 = 2*w - 3. Suppose j - 4/5*v + 6/5*v**w = 0. What is v?
0, 2/3
Suppose -6*j**2 + 6 - j**2 - 8 + 9*j**2 = 0. Calculate j.
-1, 1
Let j(d) be the third derivative of 0 + 22*d**2 + 0*d**3 - 5/24*d**4 - 1/12*d**5 + 0*d. Factor j(g).
-5*g*(g + 1)
Suppose 16*h - 182 = 3*h. Suppose 0 = -0*v + h*v - 28. Suppose 0 - 30/7*i**4 - 6/7*i**v + 8/7*i**5 - 4/7*i + 32/7*i**3 = 0. Calculate i.
-1/4, 0, 1, 2
Let k = -101 - -103. Factor 12*f**3 - 11 - 2 + 3*f**4 - 12*f - 15*f**k + 1 + 24*f**2.
3*(f - 1)*(f + 1)*(f + 2)**2
Let m = -117 - -117. Let m*k + 1/3*k**2 - 5/6*k**3 + 0 - 1/6*k**5 + 2/3*k**4 = 0. Calculate k.
0, 1, 2
Let i(p) be the second derivative of 5/3*p**3 + 1/360*p**6 - 5*p + 0*p**2 - 7/480*p**5 - 1/48*p**4 + 0. Let r(n) be the second derivative of i(n). Factor r(x).
(x - 2)*(4*x + 1)/4
Let s(v) = 10*v**2 + 107*v - 2293. Let r(t) = t**2 + t + 1. Let g(h) = -44*r(h) + 4*s(h). Let g(l) = 0. What is l?
48
Let x(l) = 46*l + 45*l - l**4 + l**2 - 90*l. Let k(g) = -3*g**4 + 4*g**3 + 3*g**2 - 5*g. Let j(r) = -k(r) - x(r). Let j(d) = 0. Calculate d.
-1, 0, 1
Let g(x) be the second derivative of -x**4/84 - 151*x**3/21 - 22801*x**2/14 - 429*x. Determine s, given that g(s) = 0.
-151
Determine g, given that -648/7*g**2 - 324/7 + 108*g - 52/7*g**4 + 264/7*g**3 + 4/7*g**5 = 0.
1, 3
Let o(f) = 45*f**2 + 492*f - 378. Let g(j) = -18*j**2 - 197*j + 151. Let w(a) = 18*g(a) + 7*o(a). Suppose w(q) = 0. What is q?
-12, 2/3
Let g(z) = z**5 - z**3 + z**2 + 1. Let l(h) = -10*h**5 + 4*h**4 + 8*h**3 - 15*h**2 - 9. Let n(q) = -18*g(q) - 2*l(q). Solve n(m) = 0.
-1, 0, 2, 3
Let f = -43 + 42. Let d be (f/4)/((-17)/34). Factor -d*p - 1/2*p**2 + 0.
-p*(p + 1)/2
Let i be (-575)/(-65) + (-2)/(-13). What is u in -7 - 4*u**3 + i*u**3 + 2 - 5 - 5*u + 10*u**2 = 0?
-2, -1, 1
Factor 356 - 356 + 40*c**2 - 4*c**3.
-4*c**2*(c - 10)
Let o(s) be the third derivative of 11*s**5/180 + 5*s**4/18 - 2*s**3/9 + 82*s**2. What is k in o(k) = 0?
-2, 2/11
Let u = -38377/5 - -7685. Solve -58/5*h**2 + u*h + 18/5*h**3 - 8/5 = 0.
2/9, 1, 2
Suppose 5*l = 3*x + 6, 2*x - 4*l = -x - 3. Suppose -2*d = -3*d + x. Let -13*y**2 + 21*y**2 - 5*y**2 - d = 0. What is y?
-1, 1
Suppose -64/3*b**2 - 103/3*b + 11*b**3 - 2 = 0. What is b?
-1, -2/33, 3
Suppose 0 = 5*n - m - 26, n - 5*m - 11 = -1. Suppose p + 0*p - 13 = -n*v, 0 = 5*v - 10. Factor 5*d**4 + 4*d**3 - 15*d**2 - 2*d**4 + 5*d**p - 2*d + 8*d - 3*d**5.
-3*d*(d - 1)**3*(d + 2)
Factor -170/3*k - 5/3*k**3 + 55/3*k**2 + 40.
-5*(k - 6)*(k - 4)*(k - 1)/3
Let d(h) be the second derivative of h**6/1980 - h**5/330 - 8*h**3/3 + h. Let n(v) be the second derivative of d(v). Factor n(r).
2*r*(r - 2)/11
Let x = -3 + 6. Let g be (16/(-24) - -1)*9. Factor -g*j**2 + 4 + x - 6 + 2*j**2.
-(j - 1)*(j + 1)
Let v(l) be the second derivative of 13*l + 0*l**3 - 1/20*l**5 + 0*l**4 + 1/30*l**6 + 0*l**2 + 0. Factor v(m).
m**3*(m - 1)
Let y(b) be the third derivative of b**6/160 - b**5/8 + 13*b**4/32 + 3*b**3 - 2*b**2 + 34*b. Factor y(j).
3*(j - 8)*(j - 3)*(j + 1)/4
Let i(s) = 3*s**2 + s + 1. Let t(q) = -q**2 + 2*q + 15. Let x(l) = i(l) - t(l). Factor x(a).
(a - 2)*(4*a + 7)
Let d(r) = 2*r**2 + 9*r - 32. Let a be d(-7). Let c(l) be the first derivative of 3/2*l**2 + 9/2*l + 2 + 1/6*l**a. Factor c(y).
(y + 3)**2/2
Factor -1/2*p**2 - 5/2*p + 7.
-(p - 2)*(p + 7)/2
Find k, given that 4*k - 30*k**4 + 13*k**4 + 63*k**3 - 108*k**2 + 10*k**4 + 36 + 13*k**4 - k = 0.
-12, -1/2, 1
Let s = -92381/6 + 15397. Factor 1/6*p**3 - 1/2*p**2 - 1/6*p + 1/3 + s*p**4.
(p - 1)**2*(p + 1)*(p + 2)/6
Factor 2048/9 - 376/9*h**2 + 2816/9*h + 4/3*h**3.
4*(h - 16)**2*(3*h + 2)/9
Let m be (2/19 - (-68)/76)*4. Let y(t) be the second derivative of -5/3*t**m + 0 + 4*t**2 - 2*t**3 - 8*t. Let y(z) = 0. What is z?
-1, 2/5
Let u = 43 - 23. Let h be (28/21)/(0 + u/6). Solve -2/5*p**2 + 2/5*p + h - 2/5*p**3 = 0 for p.
-1, 1
What is o in -22*o - 14/3*o**2 - 24 = 0?
-3, -12/7
Solve 91797*f**2 - 4260*f + 59433*f**2 + 12 + 28 - 1789555*f**3 = 0 for f.
2/71
Suppose -2*o = 17*o + 1976. Let d be o/28 + (3 - -1). Factor -1/7*i**2 + 0*i - 1/7*i**4 + 0 - d*i**3.
-i**2*(i + 1)**2/7
Suppose v + 10 = -3*z, -5*v - 2*z - 2*z + 5 = 0. Solve 22*c - 22*c**3 + 4 + 25*c**4 + 2*c**5 + 12*c**v - 29*c**2 - 14*c = 0 for c.
-2, -1, -2/7, 1/2, 1
Let r(s) be the third derivative of -s**6/480 - 2*s**5/15 - 8*s**4/3 - 9*s**2. Find q, given that r(q) = 0.
-16, 0
Suppose -3/2*v**4 + 12*v - 1/4*v**5 + 3/4*v**3 + 0 + 14*v**2 = 0. What is v?
-4, -1, 0, 3
Let j(h) be the second derivative of h**8/112 + h**7/210 - h**6/60 + 9*h**2/2 - 15*h. Let b(i) be the first derivative of j(i). Let b(o) = 0. Calculate o.
-1, 0, 2/3
Factor -14/5*u**4 + 8/5*u**5 + 4/5*u**3 + 0*u + 0 + 2/5*u**2.
