7*a - 2)/2
Let c = 34 - 28. Let v(f) be the first derivative of 12*f**4 - 3 - 49/3*f**c + 8/3*f**3 + 0*f + 42/5*f**5 + 0*f**2. Solve v(g) = 0.
-2/7, 0, 1
Let c = -271/2 + 136. What is l in 0*l + 0 + 1/4*l**4 + c*l**2 - 3/4*l**3 = 0?
0, 1, 2
Let k(w) = w**2 - 8*w + 1. Let b be k(6). Let f = -9 - b. Factor -d + 0*d**2 + f*d - d**2.
-d*(d - 1)
Let m = 2393/958 + 1/479. Determine n, given that 1/2*n**4 - 3/2*n**2 - 1 - m*n + 1/2*n**3 = 0.
-1, 2
Find r such that -12/7*r - 4/7*r**2 + 0 = 0.
-3, 0
Let c(p) be the second derivative of 3*p**5/5 - 7*p**4/4 + p**3 + 3*p**2/2 + 5*p. Factor c(w).
3*(w - 1)**2*(4*w + 1)
Let b(p) = p**3 - 3*p**2 + 3*p + 3. Let s(o) = -o**3 + 3*o**2 - 3*o - 3. Let w(m) = 5*b(m) + 4*s(m). Let j(d) be the first derivative of w(d). Factor j(q).
3*(q - 1)**2
Determine o, given that 10*o**2 - 138*o**4 + 278/3*o**3 + 54*o**5 - 16*o - 8/3 = 0.
-2/9, 1
Let y(a) be the first derivative of a**3/6 - 5*a**2/2 + 25*a/2 - 20. Suppose y(f) = 0. What is f?
5
Let h(i) be the second derivative of -7*i**6/90 - i**5/5 - i**4/12 + i**3/9 + 20*i. Let h(a) = 0. Calculate a.
-1, 0, 2/7
Factor 30*w**2 - 26*w + 2 - 492*w**3 + 2*w**4 + 6 + 478*w**3.
2*(w - 4)*(w - 1)**3
Let v be -1*5 - (-9 - -94)/(-17). Determine h so that v - 2/5*h**4 + 2/5*h**5 + 2*h**2 - 6/5*h**3 - 4/5*h = 0.
-2, 0, 1
Let f(o) be the second derivative of -7*o + 1/10*o**6 - 1/4*o**4 + 0 + 0*o**2 - 1/2*o**3 + 3/20*o**5. Find q, given that f(q) = 0.
-1, 0, 1
Let v(o) be the second derivative of -2/9*o**4 - 13/90*o**5 + 0 - 4/27*o**3 - 1/189*o**7 + 0*o**2 - 2/45*o**6 - 2*o. Factor v(j).
-2*j*(j + 1)**2*(j + 2)**2/9
Let t be (-3)/(-4) + 2 + (-27)/12. Suppose 0*d + 0 + t*d**2 = 0. What is d?
0
Solve 4/5*y**3 + 2/5*y**2 + 0 + 2/5*y**4 + 0*y = 0 for y.
-1, 0
Solve 3*q - 11*q**2 - 13*q**2 + 27*q**2 = 0.
-1, 0
Let -123*o**4 - 110*o**4 + 20*o + 80*o**2 + 178*o**4 - 15*o**3 + 20*o**5 = 0. What is o?
-1, -1/4, 0, 2
Let t(n) be the first derivative of 7/15*n**6 + 2*n**2 - 3/2*n**4 + 1/2*n**5 - 5/3*n**3 - 1 + 2*n. Let l(p) be the first derivative of t(p). Factor l(i).
2*(i - 1)*(i + 1)**2*(7*i - 2)
Let a = -210 + 210. Factor 2/5*u**3 + 0 + 2/5*u**4 - 4/5*u**2 + a*u.
2*u**2*(u - 1)*(u + 2)/5
Let v = -203 + 205. Let d(x) be the second derivative of 0 + 1/6*x**5 + 0*x**3 - 7/45*x**6 + 0*x**v - 4*x + 1/9*x**4. Factor d(k).
-2*k**2*(k - 1)*(7*k + 2)/3
Let k be (-1 + 3/6)*-10. Factor k*l + 4*l - 2 + 5 + 15*l**2 + 9*l.
3*(l + 1)*(5*l + 1)
Let n(i) be the first derivative of i**6/10 + 3*i**5/4 + 3*i**4/2 - 2*i**3 - 12*i**2 - 6*i + 4. Let j(v) be the first derivative of n(v). Factor j(u).
3*(u - 1)*(u + 2)**3
Let r = 4711 + -14002/3. Let v = -43 + r. Factor v*g**3 + 2/3 - 2/3*g**2 - 2/3*g.
2*(g - 1)**2*(g + 1)/3
Factor 4/13*y + 0 + 2/13*y**2.
2*y*(y + 2)/13
Let f(z) be the first derivative of -4/3*z - 3 - 2/3*z**2 - 1/9*z**3. Factor f(r).
-(r + 2)**2/3
Let f(k) be the second derivative of -k**6/120 + k**5/60 - k**2 + 3*k. Let o(c) be the first derivative of f(c). Determine h, given that o(h) = 0.
0, 1
Let c be (-2)/112*(-28)/24. Let o(p) be the second derivative of 1/80*p**5 - 1/24*p**3 + 0 + 1/8*p**2 - 2*p - c*p**4. Determine j, given that o(j) = 0.
-1, 1
Let o(y) = -y**3 + y. Let f(k) be the first derivative of -k**4/4 + k**3/3 + k**2 + 2. Let d(h) = -2*f(h) + 3*o(h). Factor d(r).
-r*(r + 1)**2
Let o = 6 + -4. Let t be o/15*(-5)/(-3). Solve t - 2/3*w**5 + 26/9*w**4 + 4*w**2 - 44/9*w**3 - 14/9*w = 0.
1/3, 1
Factor -36*b - 16/3 - 56*b**2 + 49/3*b**3.
(b - 4)*(7*b + 2)**2/3
Let n(v) be the first derivative of 17/4*v**4 + 2*v**3 - 10*v**2 + 1 + v**5 - 8*v. Find x, given that n(x) = 0.
-2, -2/5, 1
Let r(d) be the second derivative of 0 + 0*d**3 - 1/3*d**4 - 5*d + 2*d**2. Factor r(k).
-4*(k - 1)*(k + 1)
Let i(d) be the second derivative of -5*d**4/3 - 34*d**3/3 - 12*d**2 - 13*d. Let i(l) = 0. Calculate l.
-3, -2/5
Let f = 33 - 30. Let c(a) be the first derivative of 0*a**f - 1/8*a**2 + 1/16*a**4 + 0*a - 3. Factor c(j).
j*(j - 1)*(j + 1)/4
Let g(t) be the first derivative of -t**4/22 - 2*t**3/33 + 3. Factor g(o).
-2*o**2*(o + 1)/11
Let r(n) = -7*n**3 + 5*n**2 + 6. Let a(x) = -x**3 + x**2 + 1. Let o be -2 + -2 + 3 - 5. Let t(s) = o*a(s) + r(s). Let t(k) = 0. Calculate k.
-1, 0
Suppose x - 5*u + 12 = -0, 2*x + 6 = 4*u. Factor 8*y**4 - y**2 - 5*y**5 - y**3 + 2*y**2 - x*y**2.
-y**2*(y - 1)**2*(5*y + 2)
Let y(a) = 3*a**3 + 3*a**2 - 10*a + 9. Let h(g) = 2*g**3 + g**2 - 5*g + 5. Let x(l) = 5*h(l) - 3*y(l). Factor x(v).
(v - 2)*(v - 1)**2
Let r(x) = 6*x**5 + 15*x**4 - 11*x**3 - 20*x**2 + 11. Let n(u) = -u**5 - 3*u**4 + 2*u**3 + 4*u**2 - 2. Let h(p) = 33*n(p) + 6*r(p). Factor h(i).
3*i**2*(i - 2)**2*(i + 1)
Let f(v) be the third derivative of v**7/560 + v**6/64 + 3*v**5/80 - v**4/16 - v**3/2 + 12*v**2. Factor f(z).
3*(z - 1)*(z + 2)**3/8
Let s(h) = h**2 - 5*h - 2. Let p be s(4). Let n be (-2)/(-4)*-2*p. Find r such that 4 - 4 - r + n*r**3 - 4*r**3 - r**5 = 0.
-1, 0, 1
Let w(q) be the third derivative of 1/12*q**4 + 0*q + 1/20*q**6 + 1/21*q**7 + 2*q**2 + 0*q**3 - 1/6*q**5 - 1/42*q**8 + 0. What is j in w(j) = 0?
-1, 0, 1/4, 1
Let f(i) = -2*i**2 + 43*i + 22. Let y be f(22). Suppose -2*s + 3 = -1. Factor 0*l + 4/3*l**s + 2/3*l**3 + y - 16/3*l**4 + 10/3*l**5.
2*l**2*(l - 1)**2*(5*l + 2)/3
Let c(s) be the third derivative of -s**7/70 + 2*s**5/5 - 8*s**3 - 23*s**2. Let c(b) = 0. Calculate b.
-2, 2
Let d = -1 - -9. Suppose 0 = 3*y - d*y. Factor -2/7*s**5 + 0 + 2/7*s**4 + 2/7*s**3 - 2/7*s**2 + y*s.
-2*s**2*(s - 1)**2*(s + 1)/7
Let x(t) be the second derivative of 1/180*t**6 + 0*t**5 + 0*t**2 - 1/6*t**3 + 0*t**4 + 0 - 2*t. Let n(p) be the second derivative of x(p). Factor n(o).
2*o**2
Let y(s) = 3*s**2 + 2*s + 1. Let q be y(-1). Factor 3*c**5 + 9*c - 6*c**4 + 6*c**2 + 0*c**q - 12*c.
3*c*(c - 1)**3*(c + 1)
Suppose 198 = -4*f + 42. Let x = f + 275/7. Suppose x*c**2 - 4/7*c + 0 = 0. Calculate c.
0, 2
Let c = 178 + -175. Let k(g) be the first derivative of -2/3*g**c - g**2 - 2 + 0*g + 3/8*g**4. Factor k(r).
r*(r - 2)*(3*r + 2)/2
Let u = 41/2 - 283/14. Determine k so that -2/7*k**2 + u*k + 0 = 0.
0, 1
Suppose 23 + 21 = 2*j. Determine c so that c**3 + j*c - 22*c + c**2 = 0.
-1, 0
Let 2*k**4 - k**5 - 16*k**2 + 16*k**2 - k**3 = 0. What is k?
0, 1
Let j(d) be the first derivative of d**5/35 + d**4/28 - 2*d**3/21 - 26. Determine q so that j(q) = 0.
-2, 0, 1
Let r(g) = -g + 4. Let f be r(4). Suppose 0 = -f*u + u. Factor 2*v**2 + 2*v - v + 3*v + u*v.
2*v*(v + 2)
Suppose 3*f + 2*m - 16 = 0, -2*f - 5*m = -10*m - 36. Let d be 7 - 5 - f/5. Factor -d - 2/5*n**2 - 4/5*n.
-2*(n + 1)**2/5
Let w(x) be the first derivative of 0*x**2 - 1/3*x**6 + 0*x + 2/5*x**5 - 4 - 2/3*x**3 + 1/2*x**4. Suppose w(k) = 0. What is k?
-1, 0, 1
Let m(n) be the first derivative of -22/35*n**5 - 4/21*n**6 - 9/14*n**4 + 0*n + 3 + 1/7*n**2 - 2/21*n**3. Let m(g) = 0. Calculate g.
-1, 0, 1/4
Let t(i) be the third derivative of -i**7/105 + i**6/20 - i**5/30 - i**4/4 + 2*i**3/3 + 6*i**2. Suppose t(k) = 0. What is k?
-1, 1, 2
Let f(b) be the third derivative of 2*b**7/525 + 2*b**6/25 + 46*b**5/75 + 2*b**4 + 10*b**3/3 - 9*b**2. Let f(g) = 0. Calculate g.
-5, -1
Suppose 4*a - 4*t - 44 = 0, -5*a - 3*t - 38 = -117. Find k such that -14*k**3 + 4*k - 7*k**4 + 10*k**5 - 6*k**2 - a*k**4 + 27*k**4 = 0.
-1, 0, 2/5, 1
Suppose -4*o + 1 = -3. Let a(x) = 5*x. Let k be a(o). Let 4*f - f**2 - 1 - k + 2 = 0. What is f?
2
Let i(w) = -w**2 - 5*w - 3. Let x be i(-3). Factor 2/13*z**x + 0 + 8/13*z - 8/13*z**2.
2*z*(z - 2)**2/13
Suppose 5*m + 8 - 33 = 0. Factor 0*c + 1/3*c**m + 0 - 1/3*c**3 + 1/3*c**2 - 1/3*c**4.
c**2*(c - 1)**2*(c + 1)/3
Let i(r) be the first derivative of 8748*r**5/25 - 1701*r**4/5 + 657*r**3/5 - 126*r**2/5 + 12*r/5 - 22. Factor i(h).
3*(6*h - 1)**2*(9*h - 2)**2/5
Suppose 0 = 2*c - 13 + 3. Solve 0*i**3 - 2/3*i**4 + 0*i - 7/3*i**c + 0 + 0*i**2 = 0.
-2/7, 0
Let r(j) be the first derivative of -7*j**6/480 - 3*j**5/40 + j**4/8 - 2*j**3/3 + 2. Let y(m) be the third derivative of r(m). Factor y(u).
-3*(u + 2)*(7*u - 2)/4
Let l(d) = -8*d**3 + 3*d**2 + 12*d - 10. Let q(h) = -9*h**3 + 4*h**2 + 11*h - 10. Let p(z) = -4*l(z) + 3*q(z). Factor p(v).
5*(v - 1)**2*(v + 2)
Let t(z) = z**2 + 3*z. Let f be t(-3). Suppose f = y - 0*y - 2. Factor -y*w + w + 2*w - w**3.
-w*(w - 1)*(w + 1)
Let s be (