 4/5*u**4 + t*u.
-2*u**3*(u - 1)**2/5
Factor 73/7*l**3 - 27/7 + 4/7*l**5 - 32/7*l**4 - 9/7*l**2 - 81/7*l.
(l - 3)**3*(2*l + 1)**2/7
Suppose 0 = -3*w + 8*w - 15. Factor p**2 + p**4 + 5 + 6 + w*p**3 - 3*p - 13.
(p - 1)*(p + 1)**2*(p + 2)
Let b(c) = c**2 - 14*c + 15. Let y be b(13). Suppose 8 = 2*s - y. Factor -2/5*j**2 + 0 - 2/5*j**s - 6/5*j**3 - 6/5*j**4 + 0*j.
-2*j**2*(j + 1)**3/5
Let k be 2/(-3)*27/(-24). Let h(g) = g + 4. Let p be h(-4). Suppose 1/4*o**3 + k*o**2 + p + 1/2*o = 0. Calculate o.
-2, -1, 0
Suppose 0 = 3*d - 3 - 3. Factor -3*o + 6*o**4 + 5*o**3 - 11*o**2 - d*o**3 + 2*o**2 - 1 + 4.
3*(o - 1)*(o + 1)**2*(2*o - 1)
Let q(d) = -3*d + 24. Let k be q(8). Let w(m) be the third derivative of 1/210*m**5 + 0*m - 2*m**2 + 1/84*m**4 + 0 + k*m**3. Solve w(b) = 0.
-1, 0
Let u(g) be the third derivative of g**7/280 - 3*g**3/2 + 9*g**2. Let z(p) be the first derivative of u(p). Suppose z(o) = 0. Calculate o.
0
Let r(f) be the third derivative of 13*f**6/30 - 2*f**5/15 - 13*f**4/6 + 4*f**3/3 - 12*f**2. Suppose r(a) = 0. Calculate a.
-1, 2/13, 1
Let o = -3 - -3. Let y be (o - -3)*(4 + -3). Factor n + 3*n**3 - y*n**2 + n**4 + 0*n**3 - 2*n**4.
-n*(n - 1)**3
Let i = 95/938 + -2/67. Let n(l) be the first derivative of i*l**4 + 1 + 4/21*l**3 + 1/7*l**2 + 0*l. Factor n(f).
2*f*(f + 1)**2/7
Let m(c) be the first derivative of 1 + c**6 + 22/5*c**5 + 2/3*c + 3*c**2 + 20/3*c**3 + 23/3*c**4. Factor m(s).
2*(s + 1)**3*(3*s + 1)**2/3
Let q be (28/(-35))/((-2)/5). Determine m, given that 6*m**5 + 2*m**2 - 5*m**3 - q*m**4 - m**3 + 0*m**3 = 0.
-1, 0, 1/3, 1
Let l(s) = 4*s**3 + 12*s**2 + 2*s. Let w(j) = -8*j**3 - 25*j**2 - 3*j. Suppose -8 = -3*v + 7. Let a(m) = v*l(m) + 2*w(m). Suppose a(o) = 0. Calculate o.
-2, -1/2, 0
Let i be (-4)/6*(-27)/(-6). Let g be 1*(-3 - i)/(-1). Suppose g - 1/3*r**2 + 0*r = 0. Calculate r.
0
Let k(o) be the third derivative of -o**8/4200 + o**6/900 + o**3/2 - 3*o**2. Let y(v) be the first derivative of k(v). What is a in y(a) = 0?
-1, 0, 1
Let y(t) be the second derivative of t**4/4 - 3*t**2/2 + 3*t. Factor y(j).
3*(j - 1)*(j + 1)
Let l(h) be the second derivative of 1/12*h**3 - 6*h - 1/48*h**4 + 0 - 1/8*h**2. What is o in l(o) = 0?
1
Let f = -169656/5 - -34138. Let s = 208 - f. Factor s*h - 6/5*h**2 + 2/5*h**3 - 2/5.
2*(h - 1)**3/5
Let t = 113/232 + 3/232. Factor 1/2*x**2 + 0 + 0*x - t*x**3.
-x**2*(x - 1)/2
Let n(x) be the second derivative of -2/5*x**2 - 1/5*x**3 + 0 - 6*x - 1/30*x**4. Factor n(c).
-2*(c + 1)*(c + 2)/5
Suppose 32/7*s**5 - 46/7*s**2 - 2/7 + 48/7*s**4 - 18/7*s - 2*s**3 = 0. Calculate s.
-1, -1/4, 1
Let b(q) be the third derivative of q**8/840 + q**7/525 - q**6/100 - q**5/30 - q**4/30 - 31*q**2. Determine f so that b(f) = 0.
-1, 0, 2
Let l(s) be the second derivative of 1/6*s**3 + 1/4*s**2 + 5*s + 0 + 1/24*s**4. Factor l(n).
(n + 1)**2/2
Let o be 0/((-1 + -2)*(-2)/6). Let d be ((-1)/(-3))/((-3)/(-18)). Factor o - 1/2*g - 1/2*g**3 - g**d.
-g*(g + 1)**2/2
Let h(u) be the first derivative of -u**4/20 - u**3/15 + u**2/10 + u/5 + 21. Factor h(a).
-(a - 1)*(a + 1)**2/5
Suppose 6*p = 4*p + 30. Suppose h - 8 = 4*c - 2*h, 5*c = 5*h - p. Solve -c + s**2 + s**2 - 1 = 0 for s.
-1, 1
Find c such that 2/9*c + 2/9*c**2 + 0 = 0.
-1, 0
Let s(c) = -c - 1. Let n = 14 - 13. Let a(q) = -q**2 + 3*q + 4. Let h(p) = n*a(p) + 3*s(p). What is b in h(b) = 0?
-1, 1
Let u(w) = -w**3 - w**2 + w + 1. Let f be u(-2). Factor k**4 + 2*k**4 - 3*k**2 + 0*k**2 + k**3 + 2*k**f - 3*k.
3*k*(k - 1)*(k + 1)**2
Let f(w) = -w - 2. Let c be f(-4). Factor -8*x - 6*x**2 + 2*x**2 + 3*x**c - 9 + 2*x.
-(x + 3)**2
Find w such that 45/4 + 51/4*w**2 - 3/4*w**3 - 93/4*w = 0.
1, 15
Suppose 0*x = -5*x. Suppose x*p - 4 = -2*p. Factor 4*a**p - 9*a + 6 + 0*a**2 - a**2.
3*(a - 2)*(a - 1)
Let z = -1 + 3. Factor -8/5 - 2/5*n**z + 8/5*n.
-2*(n - 2)**2/5
Let h = 1559/930 + 9/31. Let b = 8/15 + h. Let -4*o + 2 - 1/2*o**3 + b*o**2 = 0. What is o?
1, 2
Let c(u) = 5*u**2 - 5*u + 8. Let r(h) = -6*h**2 + 4*h - 8. Let k(z) = z + 3. Let f be k(-7). Let a(w) = f*c(w) - 3*r(w). Suppose a(q) = 0. Calculate q.
2
Let w = -479 + 481. Let -w*t**4 - 6/5*t + 6/5*t**3 - 4/5 + 14/5*t**2 = 0. Calculate t.
-1, -2/5, 1
Let f(s) = -3*s + 2. Let a be f(1). Let o(l) = -l**2 - l. Let n(z) = -2*z**2 - 5*z - 3. Let h(m) = a*n(m) - o(m). Solve h(t) = 0.
-1
Suppose -5*q = -s - 25, -4*s - 4*q + 9 = -11. Suppose 4/5*v**4 + s*v + 0 + 6/5*v**3 + 2/5*v**2 = 0. Calculate v.
-1, -1/2, 0
Suppose 0 = 3*d, 2*c - 5 - 7 = -4*d. Let v be (-88)/280 + c/10. Find j, given that -10/7*j**2 - v*j**3 + 6/7*j**4 + 4/7 + 2/7*j = 0.
-1, -2/3, 1
Let b = -50 + 35. Let i be -6*(b/6 + 2). Find x, given that -x + 4*x**2 + 2 - 3*x**3 + 4*x**i - 2*x**2 - 4*x**2 = 0.
-1, 1, 2
Let r(c) be the second derivative of -c**6/270 - 5*c. Factor r(s).
-s**4/9
Suppose -18 + 24 = 2*z. Factor -z - 3*o - 3/4*o**2.
-3*(o + 2)**2/4
Let j(q) be the third derivative of q**7/175 - q**6/75 + q**5/150 - 9*q**2. Factor j(v).
2*v**2*(v - 1)*(3*v - 1)/5
Let d(o) be the first derivative of 4*o**6/3 + 2*o**5 + o**4/2 + 14. Factor d(f).
2*f**3*(f + 1)*(4*f + 1)
Let b(v) be the first derivative of 4*v**3/3 - 4*v - 7. Factor b(s).
4*(s - 1)*(s + 1)
Let q(w) be the second derivative of 3/8*w**4 - 3*w**2 + 0 + 3/40*w**5 + 2*w + 0*w**3. Find h such that q(h) = 0.
-2, 1
Let i(l) be the second derivative of -l**7/147 - l**6/21 - 9*l**5/70 - l**4/6 - 2*l**3/21 + 11*l. Factor i(n).
-2*n*(n + 1)**3*(n + 2)/7
Let u(t) = t**3 + 4*t + 6. Let s(w) = 4*w**3 + w**2 + 12*w + 17. Let y(x) = 2*s(x) - 7*u(x). Find k such that y(k) = 0.
-2, 2
Let h(i) be the second derivative of 3*i**6/40 + 11*i**5/60 + i**4/12 + 3*i**2/2 + i. Let c(d) be the first derivative of h(d). Factor c(r).
r*(r + 1)*(9*r + 2)
Let h(q) be the second derivative of 3*q + 1/45*q**5 - 2/27*q**3 + 0*q**2 - 7/54*q**4 + 0 + 7/135*q**6. Suppose h(y) = 0. What is y?
-1, -2/7, 0, 1
Let h = 16 + -14. Let p(z) be the second derivative of -1/10*z**h + z - 1/30*z**3 + 0 + 1/100*z**5 + 1/60*z**4. Factor p(m).
(m - 1)*(m + 1)**2/5
Let g(i) be the third derivative of -1/18*i**3 + 1/210*i**7 - 1/1008*i**8 - 1/180*i**6 + 3*i**2 + 1/24*i**4 - 1/90*i**5 + 0 + 0*i. Find f such that g(f) = 0.
-1, 1
Let z(b) be the second derivative of -3*b**5/80 + 3*b**4/16 - 3*b**3/8 + 3*b**2/8 - 3*b. Find d such that z(d) = 0.
1
Let q(l) be the second derivative of -10*l**7/21 + 11*l**6/6 - 9*l**5/4 + 5*l**4/12 + 5*l**3/6 + 6*l. What is c in q(c) = 0?
-1/4, 0, 1
Let z be 0/(2 + 5 - 5). Let i(f) be the second derivative of 1/9*f**2 - 3*f - 1/27*f**4 + 1/135*f**6 + 0*f**3 + z*f**5 + 0. Solve i(m) = 0.
-1, 1
Let n(x) = -3*x**5 + 3*x**4 - 2*x**3 + 7*x**2 + 5. Let t(a) = -2*a**5 + 2*a**4 - a**3 + 4*a**2 + 3. Let p(k) = -3*n(k) + 5*t(k). Factor p(g).
-g**2*(g - 1)**2*(g + 1)
Let r(k) be the first derivative of -1/3*k**3 - k - 1 - k**2. Determine j, given that r(j) = 0.
-1
Let u be 14/(-21)*18/(-4). Factor 9*n**4 - 2*n**5 + 9 + 30*n**u + 17*n**2 + 19*n + 14*n + 3*n**5 + 29*n**2.
(n + 1)**3*(n + 3)**2
Let r(m) = -m**5 - m**3 + m**2 - m + 1. Let v(t) = -4*t**5 + 2*t**4 - t**2 - 7*t + 3. Let q(l) = -15*r(l) + 5*v(l). Factor q(h).
-5*h*(h - 2)**2*(h + 1)**2
Suppose 0 - 2/7*f - 3/7*f**2 - 1/7*f**3 = 0. What is f?
-2, -1, 0
Let g(l) be the third derivative of l**6/45 + 13*l**5/90 + l**4/12 - 7*l**2. Let g(k) = 0. Calculate k.
-3, -1/4, 0
Factor 10*q**2 + 10*q**2 + 5*q**3 + 9*q + 11*q.
5*q*(q + 2)**2
Let b(w) be the third derivative of -w**7/840 - w**6/240 + w**5/80 + w**4/24 - w**3/6 - 26*w**2. Determine h so that b(h) = 0.
-2, 1
Let q = -371 + 1121/3. Determine p so that 4/3 + 8/3*p**2 - q*p**3 + 14/3*p = 0.
-1/2, 2
Suppose -12*l + 4*l = 0. Let k(s) be the second derivative of 0*s**3 + l - 1/8*s**2 - s + 1/48*s**4. Factor k(o).
(o - 1)*(o + 1)/4
Let n(c) be the first derivative of c**3 - 3*c**2 + 14. Factor n(h).
3*h*(h - 2)
Factor -2/17 + 6/17*o - 4/17*o**2.
-2*(o - 1)*(2*o - 1)/17
Let g be (-18)/(-63) - 976/(-14). Let y = g - 206/3. Solve -y + 4/3*r**2 + 2/3*r**3 - 2/3*r = 0.
-2, -1, 1
Let i = 336 - 333. Factor 0*n**2 + 4/15*n - 2/15*n**4 - 4/15*n**i + 2/15.
-2*(n - 1)*(n + 1)**3/15
Let f(b) = 9*b**4 - 7*b**2 - 2*b - 2. Let w(p) = p**4 - p**3 - 1. Let o(d) = 2*f(d) - 4*w(d). Let o(l) = 0. What is l?
-1, -2/7, 0, 1
Suppose -4*l = -b + 1 + 3, 0 = 5*b + l + 85. L