/7
Let t(w) be the first derivative of 7*w**3/4 + 9*w**2/2 - 3*w - 4. Let t(x) = 0. What is x?
-2, 2/7
Suppose 15*b + 248 - 278 = 0. Factor 0*q**4 - 1 - 1/2*q**5 - 3/2*q + q**b + 2*q**3.
-(q - 2)*(q - 1)*(q + 1)**3/2
Find a, given that -a**2 - 6*a**2 + 4*a**2 - 3*a**3 = 0.
-1, 0
Let r(n) be the first derivative of -7*n**6/270 - n**5/20 + n**4/9 + 2*n**3/27 + 3*n + 1. Let g(o) be the first derivative of r(o). Find z, given that g(z) = 0.
-2, -2/7, 0, 1
Let p be (-162)/(-15) + -6 + -3. Suppose p*c - 3/5*c**2 - 6/5 = 0. What is c?
1, 2
Let m = 79 + -77. Let 5/4*f + 1/2 - 3*f**m = 0. Calculate f.
-1/4, 2/3
Let o(i) be the first derivative of -1/3*i**3 + 0*i + 0*i**2 - 1/5*i**5 + 1/2*i**4 - 2. Factor o(b).
-b**2*(b - 1)**2
Let f(m) = -4*m + 2 + 3*m - m**2 - 2. Let g be f(0). Solve 0*q**3 + 2*q**4 + g*q**3 - 4*q**4 + 2*q**3 = 0.
0, 1
Let i(c) be the first derivative of -2*c**3/21 - 2*c**2/7 - 6. Factor i(d).
-2*d*(d + 2)/7
Let n(l) be the first derivative of 0*l + 0*l**3 - 4 + 1/2*l**4 + 8/5*l**5 + 0*l**2. Suppose n(r) = 0. What is r?
-1/4, 0
Let h(c) be the first derivative of 3*c**4/28 - 3*c**3/7 - 3*c**2/14 + 9*c/7 + 17. Factor h(y).
3*(y - 3)*(y - 1)*(y + 1)/7
Suppose -13 = -5*c + 3*a, 0*a + 6 = 4*c + 2*a. Solve f**c + 7/3*f**3 - 5/3*f**4 + 2/3 - 7/3*f = 0 for f.
-1, 2/5, 1
Let j(d) be the first derivative of -d**4/2 + d**3/3 + 3*d**2/2 + 2*d - 2. Let b be j(-2). Factor b*y**3 + 32/3*y**4 + 2/3*y + 6*y**2 + 0.
2*y*(y + 1)*(4*y + 1)**2/3
Let g(z) = z**3 + 3*z**2 + 2*z + 3. Let h be g(-2). Find c, given that 0*c - 2/3*c**2 - 1/3*c**h + 0 = 0.
-2, 0
Let k(g) be the third derivative of 2*g**2 + 0 - 1/15*g**3 - 17/150*g**5 + 7/200*g**6 + 1/8*g**4 + 0*g. Suppose k(n) = 0. What is n?
2/7, 1/3, 1
Let c(o) be the second derivative of o**7/126 - o**5/20 - o**4/18 + 63*o. Find w, given that c(w) = 0.
-1, 0, 2
Let z(t) be the second derivative of t**4/48 + 3*t**3/8 - 5*t**2/4 + 33*t. Solve z(f) = 0 for f.
-10, 1
Let o(k) = -k**2 + 5*k + 2. Let a be o(5). Factor -3*m**2 + 2*m**3 + 5*m**2 - 1 + 3*m**2 + 4*m + a.
(m + 1)**2*(2*m + 1)
Factor 2*a**5 + 4*a**5 + 3*a - 3*a**5 - 6*a**3 + 0*a.
3*a*(a - 1)**2*(a + 1)**2
Let p be (-1184)/(-1430) + (-4)/5. Let j = 3412/715 + p. Suppose 14/5*m**4 + 0 + 18/5*m**3 - j*m**2 - 8/5*m = 0. Calculate m.
-2, -2/7, 0, 1
Solve 894 + 3*i**2 - 6*i - 894 = 0 for i.
0, 2
Let w(m) = m - 1. Let q(p) = -3*p**5 + 3*p**3 + 5*p - 5. Let n(v) = -q(v) + 5*w(v). Let n(s) = 0. What is s?
-1, 0, 1
Let l(t) be the second derivative of 0*t**6 + 1/168*t**7 + 0*t**4 - 3*t + 0 + 0*t**3 - 1/80*t**5 + 0*t**2. Solve l(d) = 0.
-1, 0, 1
Suppose 0 = -3*t + 2*a, -5*t - 4*a + 20 = -t. Determine j, given that -2*j**3 + 10*j - 10*j + j**3 + j**t = 0.
0, 1
Let n(f) be the third derivative of -f**8/2688 + f**7/1680 + f**6/960 - f**5/480 + 25*f**2. Solve n(b) = 0 for b.
-1, 0, 1
Let j(v) be the third derivative of -v**5/30 + v**4/2 - 5*v**3/3 - 18*v**2. Find n, given that j(n) = 0.
1, 5
Let i(f) be the first derivative of -3*f**5/5 - 9*f**4/4 - 3*f**3 - 3*f**2/2 + 28. Factor i(t).
-3*t*(t + 1)**3
Let x(y) = -11*y**3 + y**2 + y - 3. Let w be x(2). Let a be 2/(w/(-15) + -3). Solve -3/2 - 3/4*f**4 + a*f**3 - 3/4*f + 9/4*f**2 = 0 for f.
-1, 1, 2
Let j(c) be the third derivative of c**6/24 + 5*c**5/12 + 35*c**4/24 + 5*c**3/2 - 18*c**2. Factor j(m).
5*(m + 1)**2*(m + 3)
Let t(c) = -c**2 - 6*c - 2. Let w be 1/3*(-18 + 3). Let g be t(w). Factor -p + p**2 + 0*p + p**3 - 2 - g*p**2 + 4*p**2.
(p - 1)*(p + 1)*(p + 2)
Let a(c) be the second derivative of -c**10/40320 + c**8/8960 - 5*c**4/12 - 6*c. Let i(d) be the third derivative of a(d). Let i(k) = 0. Calculate k.
-1, 0, 1
Let -1/5*j**4 + 0*j**2 + 0*j + 0 - 1/5*j**3 = 0. Calculate j.
-1, 0
Suppose -4*i + 2*v + 42 = 0, -2*i - 8*v + 3*v + 3 = 0. Let c = i + -9. Suppose r**2 + 3 - 1 - 3*r + c = 0. What is r?
1, 2
Let m(c) be the first derivative of -3*c**4/4 - 6*c**3 - 15*c**2/2 - 11. Factor m(q).
-3*q*(q + 1)*(q + 5)
Suppose 3*u - 1 = 5. Factor -2*y + y**2 + 0*y**2 - 5*y**u - 1 - 3*y.
-(y + 1)*(4*y + 1)
Let m(c) be the first derivative of c**6/4 - 3*c**5/10 - 9*c**4/8 + 5*c**3/2 - 3*c**2/2 - 2. Factor m(t).
3*t*(t - 1)**3*(t + 2)/2
Let k(u) be the first derivative of u**5/10 + u**4/2 + 5*u**3/6 + u**2/2 + 6. Factor k(f).
f*(f + 1)**2*(f + 2)/2
Let q(v) be the first derivative of v**4/46 + 6*v**3/23 + 15*v**2/23 - 50*v/23 - 20. Solve q(m) = 0 for m.
-5, 1
Let y(r) be the third derivative of -3/4*r**4 + 0*r + r**2 + 1/20*r**5 + 9/2*r**3 + 0. Factor y(k).
3*(k - 3)**2
Let d(m) be the first derivative of -m**4/10 - 4*m**3/15 - m**2/5 + 3. Factor d(x).
-2*x*(x + 1)**2/5
Let d be (1 + 4/(-1))/((-10)/4). Suppose 4*v = 2*v + 10, -5*v + 27 = j. Determine r so that d*r**3 - 2/5*r**j + 0*r + 8/5*r**4 + 0 = 0.
-1, 0, 1/4
Let m(f) = -6*f**3 - 12*f**2 - 18*f - 9. Let b(w) = -w**3 + w**2 + w. Let a(j) = 3*b(j) - m(j). Factor a(n).
3*(n + 1)**2*(n + 3)
Let u(g) be the second derivative of -7*g**5/110 + 3*g**4/22 - 2*g**3/33 + 8*g. What is b in u(b) = 0?
0, 2/7, 1
Suppose -98*d - 3 = -99*d. Let v(w) be the first derivative of -2 - d*w**3 + 3*w**2 + 0*w**4 + 3/5*w**5 + 0*w. Suppose v(g) = 0. Calculate g.
-2, 0, 1
Let f(u) be the first derivative of 13*u**4/2 - 4*u**3/3 - 5. Find w, given that f(w) = 0.
0, 2/13
Let s(x) be the third derivative of -x**6/660 - 2*x**5/165 - x**4/33 - 20*x**2. Let s(l) = 0. Calculate l.
-2, 0
Let r = 6798 - 387401/57. Let v = r - 3/19. Solve -2/3*y**3 + 2*y + 0*y**2 - v = 0.
-2, 1
Determine p, given that -26*p**4 + 89*p**2 + 45 + 36*p**4 - 165*p + 96*p**2 - 75*p**3 = 0.
1/2, 1, 3
Suppose -2*u + 6 = u. Let r(a) = -3*a**2 + u*a**3 + 3*a**4 - 2 + 2. Let n(x) = -7*x**4 - 5*x**3 + 7*x**2. Let t(c) = -4*n(c) - 10*r(c). Factor t(i).
-2*i**2*(i - 1)*(i + 1)
Let n(u) = -4*u**4 - 4*u**3 - 6*u**2 - 2. Let h(j) = 21*j**4 + 19*j**3 + 30*j**2 - j + 11. Let l(w) = 4*h(w) + 22*n(w). Factor l(i).
-4*i*(i + 1)**3
Let j be -1 + 15/(-3 + 8). Factor -2/5*q**4 + 6/5*q**j + 0*q**3 - 4/5*q + 0.
-2*q*(q - 1)**2*(q + 2)/5
Let p(u) be the first derivative of -u**3/3 - u**2/2 - 10. What is i in p(i) = 0?
-1, 0
Let m(d) be the second derivative of 0 + 1/4*d**4 - 2*d**3 - 8*d - 1/80*d**5 + 8*d**2. Find o such that m(o) = 0.
4
Let c(d) be the first derivative of -3*d**5/10 + d**4/2 - 2*d**3/9 + 9. Factor c(k).
-k**2*(3*k - 2)**2/6
Factor -294 - 3/2*p**2 - 42*p.
-3*(p + 14)**2/2
Let g(p) be the third derivative of -p**6/140 - 3*p**5/14 - 75*p**4/28 - 125*p**3/7 + 3*p**2. Determine f so that g(f) = 0.
-5
Let p be -2 + -45*(3 - (-256)/(-84)). Factor -p*u**2 - 6/7*u - 9/7.
-(u + 3)**2/7
Let n(v) be the second derivative of -7*v**4/108 + 47*v**3/54 + 7*v**2/9 + 29*v. Factor n(s).
-(s - 7)*(7*s + 2)/9
Let m(i) be the second derivative of i**5/2 - 4*i**4/3 + i**3/3 + 2*i**2 - 19*i. Solve m(l) = 0 for l.
-2/5, 1
Suppose 11*x = 11 + 33. Let p(c) be the second derivative of 2/9*c**3 + 1/18*c**x + 0 - 3*c + 1/3*c**2. Solve p(z) = 0 for z.
-1
Suppose q + 1 = 5. Suppose -2 = i + 3*v, -5 = -q*v - 13. Factor i*g + 2 + 1/2*g**3 + 5/2*g**2.
(g + 1)*(g + 2)**2/2
Let r(f) = 3*f**5 - 2*f**4 - 8*f**3 - 9*f**2 - 6*f. Let m(s) = -s**5 + s**4 + 3*s**3 + 3*s**2 + 2*s. Let v(u) = 11*m(u) + 4*r(u). Factor v(t).
t*(t - 1)*(t + 1)**2*(t + 2)
Let d(t) be the second derivative of -t**4/9 - 4*t**3/9 - 19*t. Factor d(s).
-4*s*(s + 2)/3
Let c(u) be the third derivative of u**7/525 + u**6/180 - u**5/225 + 14*u**2 + 1. Determine j so that c(j) = 0.
-2, 0, 1/3
Let k(o) = -2*o**3 - 7*o**2 - 2*o. Let r(d) = 10*d**3 + 8*d**2 + 26*d**2 + 11*d + d - 2*d. Let y(w) = -14*k(w) - 3*r(w). Factor y(q).
-2*q*(q + 1)**2
Let j = -353 + 355. Factor -3/4*k**j - 3/4*k + 3/2.
-3*(k - 1)*(k + 2)/4
Suppose -z = 4*z + 30. Let w(k) = -k**3 + 6*k**2 - 15*k + 8. Let d(g) = 3 - g - 4 + 1. Let u(n) = z*d(n) + 2*w(n). Factor u(p).
-2*(p - 2)**3
Let l(q) = q**4 - q**3 - 5*q**2 - q + 2. Let v(u) = u**2 + 5*u**2 - 3 - 3*u**4 + u**4 + u. Let a(y) = 6*l(y) + 4*v(y). Factor a(o).
-2*o*(o + 1)**3
Let w(i) be the second derivative of -25*i**6/18 + 55*i**5/12 - 35*i**4/6 + 34*i**3/9 - 4*i**2/3 + 5*i. Let w(l) = 0. Calculate l.
2/5, 1
Let v(w) be the first derivative of w**6/2 - w**5/5 - 3*w**4/4 + w**3/3 + 19. Determine a so that v(a) = 0.
-1, 0, 1/3, 1
Let b = 79/20 - -11/20. Let m(u) = 9*u + 38. Let f be m(-4).