*2 - 2/7*k**3.
-2*k*(k - 1)*(k + 1)**2/7
Let u(f) be the first derivative of 9 + 4/7*f**2 - 8/7*f - 2/21*f**3. Factor u(n).
-2*(n - 2)**2/7
Let w(j) be the first derivative of -3/20*j**5 + 0*j**4 + 1/2*j**3 - 3/4*j + 0*j**2 + 1. Factor w(v).
-3*(v - 1)**2*(v + 1)**2/4
Suppose 0*j**2 - 1/4*j + 0 + 1/4*j**3 = 0. Calculate j.
-1, 0, 1
Let p(y) = -2*y**2 + 15*y - 14. Let g be p(6). Factor 9/5*t**2 + 0 + 3/5*t**g - 3/5*t - 9/5*t**3.
3*t*(t - 1)**3/5
Let a(p) be the first derivative of p**6/225 - p**5/75 - 2*p**4/45 + 2*p**3/45 + p**2/5 - p + 9. Let y(h) be the first derivative of a(h). Solve y(m) = 0 for m.
-1, 1, 3
Suppose -38*y = -37*y - 5. Suppose -3*a**2 + 3/2*a**4 - 3/2*a - 3/2*a**y + 3*a**3 + 3/2 = 0. What is a?
-1, 1
Let d(h) be the first derivative of -h**4/14 - 4*h**3/21 + h**2/7 + 4*h/7 - 11. Factor d(w).
-2*(w - 1)*(w + 1)*(w + 2)/7
Let v(l) = -5*l**2 + 9*l. Let r(y) = -6*y**2 + 9*y. Let g(x) = -2*r(x) + 3*v(x). Solve g(q) = 0 for q.
0, 3
Let d(m) be the third derivative of -1/20*m**4 + 0*m**5 + 0*m + 2/15*m**3 + 4*m**2 + 1/300*m**6 + 0. Factor d(z).
2*(z - 1)**2*(z + 2)/5
Suppose 4*v - 2*x = -6 + 2, -2*v + 3*x = 6. Determine f, given that v*f**2 - 4*f**3 - f**2 + 2*f**5 + f**4 + 2*f**3 = 0.
-1, -1/2, 0, 1
Let j(u) = -u**3 - u**2 + u - 2. Let o be j(-2). Suppose -f = -o*f. Solve f - 1/4*p**4 + 1/2*p**5 + 1/4*p + 1/4*p**2 - 3/4*p**3 = 0 for p.
-1, -1/2, 0, 1
Let i = -4 + 6. Suppose 0 = j + 1 - i. What is p in -j + p - 3 + 2 + p**2 = 0?
-2, 1
Suppose 4*u - 126*u**5 - u**2 - 18*u**2 + 5*u**2 - 38*u**3 + 174*u**4 = 0. What is u?
-2/7, 0, 1/3, 1
Let i be (3/4)/(1/4). Suppose 0 = 4*r - 3*d, 5*r - d = i*r. Let -k**4 + 3*k - 2*k + 3*k**3 + r*k**3 - 3*k**2 = 0. Calculate k.
0, 1
Suppose -4/9 + 2/9*u**3 + 2/3*u**2 - 2/9*u - 2/9*u**4 = 0. What is u?
-1, 1, 2
Let c(u) be the second derivative of -u**6/120 + 3*u**5/80 - u**4/24 + 36*u. Determine m, given that c(m) = 0.
0, 1, 2
Let j be 18/14 - (-18)/(-63). Let q be 3/6 - j/2. Factor q*x**2 - 2/5 + 2/5*x**4 + 4/5*x**3 - 4/5*x.
2*(x - 1)*(x + 1)**3/5
Factor -4/7 - 2/7*w**2 - 6/7*w.
-2*(w + 1)*(w + 2)/7
Let k(h) be the first derivative of 1/12*h**3 + 1/16*h**4 + 0*h + 0*h**2 + 2. Determine i, given that k(i) = 0.
-1, 0
Let i be 3/4 + (-18)/(-8). Suppose 3*p = 3 + i. Factor -v**2 + 3*v**p + 6 - v**2 - 9*v + 2*v**2.
3*(v - 2)*(v - 1)
Let x(f) = 5*f - 1. Let p be x(2). Let v be 2*-1*p/(-6). Factor 2*k - 2*k**v + k**3 - k**4 - 2*k.
-k**3*(k + 1)
Suppose -7 = -4*l + b, 3*l + 2*b = b + 7. Let w = -34/29 - -402/145. Suppose w*f + 2/5*f**l + 8/5 = 0. Calculate f.
-2
Let p(g) = -g**2 - 5*g + 14. Let u be p(-7). Let d be (35/(-15) - -3) + u. Factor -2/3*h**4 + 2/3*h**3 + 0 + 2/3*h**2 - d*h.
-2*h*(h - 1)**2*(h + 1)/3
Let a(x) = -x**3 + 5*x**2 + 2. Let i be a(5). Factor f**4 - f**4 + f**4 - 2*f**i + f**2.
f**2*(f - 1)*(f + 1)
Let g(t) be the first derivative of -2*t**6/21 - 16*t**5/35 - 5*t**4/7 - 8*t**3/21 - 13. Determine i, given that g(i) = 0.
-2, -1, 0
Let x = 16 - 22. Let k(f) = -4*f**4 + 8*f**3 - 6*f**2 - 6*f + 6. Let s(p) = -p**4 + p**3 - p**2 - p + 1. Let j(h) = x*s(h) + k(h). Let j(r) = 0. What is r?
-1, 0
Factor 3*i**2 + 27 - 52 + 22.
3*(i - 1)*(i + 1)
Let m(k) be the third derivative of k**7/70 - k**6/40 - 9*k**5/20 - 11*k**4/8 - 2*k**3 - 2*k**2. Factor m(g).
3*(g - 4)*(g + 1)**3
Let h(w) = -32*w**5 + 92*w**4 - 135*w**3 + 105*w**2 - 30*w. Let l(z) = -11*z**5 + 31*z**4 - 45*z**3 + 35*z**2 - 10*z. Let b(n) = -6*h(n) + 17*l(n). Factor b(p).
5*p*(p - 2)*(p - 1)**3
Let d(w) be the first derivative of 5*w**4/36 + 2*w**3/3 + 2*w**2/3 - 7*w - 3. Let b(y) be the first derivative of d(y). Factor b(t).
(t + 2)*(5*t + 2)/3
Factor 0*d**2 - 2*d**4 + 2*d**2 - 4*d**3 + 4*d**4.
2*d**2*(d - 1)**2
Suppose 2*n - a - 16 = -3*a, 4*a = 20. Let o(b) be the first derivative of -2/15*b**5 + 2 + 0*b + 2/9*b**n + 0*b**4 + 0*b**2. Factor o(z).
-2*z**2*(z - 1)*(z + 1)/3
Let t(c) be the third derivative of -c**7/315 + c**6/36 - c**5/10 + 7*c**4/36 - 2*c**3/9 - 3*c**2. Factor t(x).
-2*(x - 2)*(x - 1)**3/3
Factor 13*n**2 + 3*n**2 - 3 + 16*n**4 + 4*n + 3 + 24*n**3 + 4*n**5.
4*n*(n + 1)**4
Suppose -4/7 - 38/7*s**5 + 8/7*s**2 - 38/7*s + 76/7*s**3 - 4/7*s**4 = 0. What is s?
-1, -2/19, 1
Let s be 40/144 - (-2)/9. Solve d + 0 - s*d**2 = 0 for d.
0, 2
Suppose y - 3*y + 16 = 0. Determine f so that y*f**4 - 13*f**4 + 3*f**4 = 0.
0
Let a = 289/4 - 2015/28. Factor 4/7*p**2 - 2/7*p + 0 - a*p**3.
-2*p*(p - 1)**2/7
Factor 2/3*p**3 + 1/6*p**4 - 1/6*p**2 + 0 - 2/3*p.
p*(p - 1)*(p + 1)*(p + 4)/6
Find m, given that -4 + 4*m**4 - 6*m - 1189*m**3 + 1181*m**3 + 14*m = 0.
-1, 1
Solve -4*w + 2*w**2 - 1946 + 1946 = 0.
0, 2
Suppose x**5 - 20*x**2 + x + 18*x**3 - 7*x**4 + 3*x + 5*x - x = 0. Calculate x.
0, 1, 2
Suppose 32/5 + 0*j**2 - 2/5*j**3 + 24/5*j = 0. Calculate j.
-2, 4
Let i(h) = 3*h**5 + 9*h**4 - 2*h**3 - 10*h**2 - 2*h. Let p(k) = k**5 + k**2. Let s(y) = i(y) + p(y). Let s(x) = 0. What is x?
-2, -1, -1/4, 0, 1
Let l(h) be the first derivative of 39*h**4 + 0*h + 35/3*h**6 - 8*h**2 + 3 - 8/3*h**3 + 218/5*h**5. Find u such that l(u) = 0.
-2, -1, -2/5, 0, 2/7
Let j(q) = q**2 + q. Let x(b) = -7*b**2 - 8*b - 1. Let i(s) = 6*j(s) + x(s). Determine f so that i(f) = 0.
-1
Let y = 2389/327 + 3/109. Let r = -148/21 + y. Factor 8/7*z + 8/7 + r*z**2.
2*(z + 2)**2/7
Let k be (-12 + 2)*(-1)/2. Let r(j) be the first derivative of -3/4*j**4 + 0*j + j**2 + 1/6*j**6 + 1/5*j**k - 1/3*j**3 - 1. Factor r(a).
a*(a - 1)**2*(a + 1)*(a + 2)
Let h(t) be the second derivative of 0 + 1/6*t**2 + t - 1/9*t**3 - 1/12*t**4. Factor h(v).
-(v + 1)*(3*v - 1)/3
Let r(f) be the third derivative of 0*f**3 + 1/240*f**6 - f**2 + 1/240*f**5 + 0 + 1/840*f**7 + 0*f + 0*f**4. Let r(p) = 0. What is p?
-1, 0
Let f = -10 - -14. Suppose f*q - 1 = -j + 2, -2*q + 2*j + 14 = 0. Solve 21/2*z**5 + 55/2*z**4 - 15/2*z**2 + 35/2*z**3 - 10*z - q = 0 for z.
-1, -2/7, 2/3
Solve 0 + 5/6*y**3 + 5/6*y**4 + 0*y - 5/3*y**2 = 0 for y.
-2, 0, 1
Let v(r) = 2*r - 10. Let f be v(7). Let s be (2 + -2)/(f + -6). Factor -1/3*g**2 + 0 - g**4 + s*g + g**3 + 1/3*g**5.
g**2*(g - 1)**3/3
Suppose 2*p = -1 + 7. Let s(j) be the second derivative of -3/100*j**5 + 1/20*j**4 + 0 + 0*j**2 - 3*j + 1/10*j**p - 1/50*j**6. Factor s(n).
-3*n*(n - 1)*(n + 1)**2/5
Suppose 3*l = 7*l + 4*l. Let a(c) be the second derivative of 0*c**2 + 1/30*c**4 + l - 2/15*c**3 - 3*c. Factor a(y).
2*y*(y - 2)/5
Solve 4*x**2 - 8*x - x**3 - x**3 + 4*x**3 + 2*x**3 = 0.
-2, 0, 1
Let p(b) be the first derivative of -b**4/18 - 2*b**3/9 - b**2/3 + 2*b - 3. Let y(l) be the first derivative of p(l). Factor y(a).
-2*(a + 1)**2/3
Let p(y) be the second derivative of -y**4 + 0 - 2*y**3 - 4*y - 3/20*y**5 + 0*y**2. What is q in p(q) = 0?
-2, 0
Let v be 0/(-3 - -6) - -2. Factor 9*f**2 - v*f**2 - 5*f**2 + 2*f.
2*f*(f + 1)
Let i be (-1508)/(-1015) - (-4)/(-14). Factor -2/5*x**2 + 0 - i*x**4 + 2/5*x**5 + 0*x + 6/5*x**3.
2*x**2*(x - 1)**3/5
Let h be (4/(-4))/(2/(-8)). Factor -4*o**h - 6*o + 14*o**2 + 0*o**4 - 5*o**2 + o**4.
-3*o*(o - 1)**2*(o + 2)
Let w(h) be the first derivative of -8*h**7/105 - 4*h**6/9 - 17*h**5/30 - h**4/3 + 3*h**3 + 5. Let c(y) be the third derivative of w(y). Solve c(q) = 0 for q.
-2, -1/4
Factor -15/2*k**2 + 9/2*k**3 - 3/2*k**5 + 0 + 3*k + 3/2*k**4.
-3*k*(k - 1)**3*(k + 2)/2
Let p(c) be the first derivative of -10*c**5/7 + 5*c**4/14 + 32*c**3/21 + 4*c**2/7 + 7. Solve p(a) = 0 for a.
-2/5, 0, 1
Let y be 21/7 + -2 + 1. Suppose -b = -w - 3*b - 8, -w + y*b + 12 = 0. Factor 3*s**w - s**2 - 1 - 4*s + 4*s**3 - 1.
2*(s - 1)*(s + 1)*(2*s + 1)
Suppose -13 = 4*q - 5. Let u be 1 - q/(4 - 2). Factor p + u*p**2 - p.
2*p**2
Let f(c) = c**3 - 2*c**2 - 3*c. Let l be f(3). Suppose -5*q + 205 = -l*q. Solve 10*m**3 - 1 - q*m**2 + 24*m - 3 + 11*m**3 = 0 for m.
2/7, 2/3, 1
Let m(h) = -6*h**4 - 9*h**3 - 3*h**2 + 3*h. Let x(c) = 5*c**2 + 0*c**2 + 9*c**3 - 4*c - 3*c**2 + 7*c**4 + 0*c**4. Let g(a) = -4*m(a) - 3*x(a). Factor g(u).
3*u**2*(u + 1)*(u + 2)
Let n = 4 - -2. Let d(v) be the second derivative of 1/5*v**5 + 7/15*v**n + 0*v**4 + 0*v**2 + 0*v**3 + 0 + 2*v. Factor d(y).
2*y**3*(7*y + 2)
Factor 2/5 + 9/10*t**2 + 11/10*t + 1/10*t**3 - 1/10*t**4.
-(t - 4)*(t + 1)**3/10
Let h(d) = -70*d**2 + 276*d + 120. Let n(p) = 23*p**2 - 92*p - 40. Let o(k) = 3*h(k) + 10*n(k). Factor o(m).
