 = 0 for f.
-1, 2
Factor 0 - 1/2*g + 3*g**3 - 7/4*g**4 - 3/4*g**2.
-g*(g - 1)**2*(7*g + 2)/4
Let n(p) be the first derivative of -p**6/63 + 8*p**5/21 - 59*p**4/21 + 40*p**3/7 - 27*p**2/7 - 168. Factor n(f).
-2*f*(f - 9)**2*(f - 1)**2/21
Let u be (0/2)/((25/75)/((-1)/3)). Suppose -4/5*r**2 + 2/5*r**3 + u + 2/5*r = 0. What is r?
0, 1
Let g(s) = -11*s**4 - 17*s**3 - 97*s**2 - 98*s - 7. Let p(w) = -3*w**4 - 5*w**3 - 33*w**2 - 33*w - 2. Let j(c) = -4*g(c) + 14*p(c). Factor j(z).
2*z*(z - 7)*(z + 1)*(z + 5)
Let y(a) be the third derivative of -11*a**7/5040 - a**6/60 - a**5/60 + 7*a**4/24 + a**2. Let z(r) be the second derivative of y(r). Factor z(w).
-(w + 2)*(11*w + 2)/2
Let z(o) be the second derivative of o**7/280 - o**6/30 + o**5/8 - o**4/4 + 3*o**3/2 - 28*o. Let j(a) be the second derivative of z(a). Factor j(t).
3*(t - 2)*(t - 1)**2
Let g = 39 + -37. Let a(k) be the first derivative of 0*k**3 + 0*k + 3/10*k**4 + 2 - 1/10*k**6 + 3/25*k**5 + 0*k**g. Find w, given that a(w) = 0.
-1, 0, 2
Suppose -3*x - 21 = w - 5, -2*x - 16 = 2*w. Let l be (-9)/(-1)*x/(-42)*1. Factor l*g**2 - 4/7*g + 0.
2*g*(3*g - 2)/7
Let 0*b + 2/9*b**3 + 0 + 16*b**2 = 0. Calculate b.
-72, 0
Let c(n) = -3*n**2 + 22*n - 13. Let k(v) = 547*v - 285 + 6*v**2 - 39*v**2 - 32*v**2 - 62*v. Let b(u) = 45*c(u) - 2*k(u). Factor b(r).
-5*(r - 3)*(r - 1)
Let o(r) be the first derivative of 2/5*r**5 - 1/8*r**4 + 4*r + r**2 - 5/3*r**3 + 24 - 1/12*r**6. Factor o(a).
-(a - 2)**3*(a + 1)**2/2
Let u(t) be the first derivative of t**4/22 + 8*t**3/3 + 44*t**2 - 25. What is m in u(m) = 0?
-22, 0
Let f = -90 + 2701/30. Let s(p) be the third derivative of -f*p**5 + 0*p + 0 + 0*p**3 - 4*p**2 - 1/6*p**4. Solve s(k) = 0.
-2, 0
Let n(w) be the second derivative of -12*w + 0 + 0*w**2 - 1/33*w**4 + 0*w**3 + 1/110*w**5. What is h in n(h) = 0?
0, 2
Suppose -w - 105 = -452. Factor -84*m - 4*m**3 + 48*m**2 - 91 - 108*m + w.
-4*(m - 4)**3
Solve 9*p**3 + 2*p**2 + 3*p**3 - 8*p - 61*p**4 - 4*p**5 + 2*p**2 + 57*p**4 = 0.
-2, -1, 0, 1
Solve -100/7 + 8/7*f**2 - 28*f = 0.
-1/2, 25
Let z(h) be the second derivative of 5*h**4/12 + 10*h**3/3 + 15*h**2/2 + 12*h + 9. Factor z(p).
5*(p + 1)*(p + 3)
Let n(o) = -6*o**4 - 60*o**3 - 93*o**2 - 48*o. Let p(w) = 3*w**4 + 29*w**3 + 46*w**2 + 24*w. Let m(q) = 4*n(q) + 9*p(q). Suppose m(j) = 0. What is j?
-4, -2, -1, 0
Let i be 5 + (1 - -1) - (21 - 16). Factor 18/23*t + 10/23*t**i - 4/23.
2*(t + 2)*(5*t - 1)/23
Factor -3*z - 34*z**3 + 13*z**3 + 4*z**3 + 4*z**2 + 16*z**3.
-z*(z - 3)*(z - 1)
Suppose -4*n = c - 2*c + 1, 0 = 3*n + 3*c - 18. Let b be n - ((-21)/(-28))/((-2)/8). Suppose -d**2 + 1/2*d**b + 1/2*d - d**3 + 1/2*d**5 + 1/2 = 0. Calculate d.
-1, 1
Let l = 101222/3 + -33740. Determine t, given that 0 - 1/3*t**5 + 4*t**2 + 8/3*t + l*t**3 - t**4 = 0.
-2, -1, 0, 2
Let i(m) = m**2 + 5*m - 26. Let b be i(4). Suppose 3*k = -7*z + 2*z + 34, 0 = -5*k + z + b. Let 2/9*o**2 - 2/9*o**4 + 0 + 4/9*o**k - 4/9*o = 0. Calculate o.
-1, 0, 1, 2
Let k(b) be the first derivative of 2*b**3/9 + 11*b**2/3 + 12*b + 580. Determine p, given that k(p) = 0.
-9, -2
What is d in 185*d**2 - 20*d**3 + 7258 - 7078 - 69*d - 271*d - 5*d**4 = 0?
-9, 1, 2
Let g be 0 + -3 + (8 - 255/65). Solve g*p**3 + 0 + 10/13*p**2 - 4/13*p = 0 for p.
-1, 0, 2/7
Let k = -19 + 21. Suppose -3*w - 16*w - 5*w - 5*w**2 + w**k - 36 = 0. Calculate w.
-3
Let i be (-237)/(-21) - (-2)/(-7). Suppose 5*w - 7 = 2*m, -m = -5*w - 0 + i. Solve -19*g**3 - 2*g**2 + g**4 + 4 + g**5 + g + 17*g**3 - w = 0 for g.
-1, 1
Suppose 5*n + 1 = m, 0 = -3*m - 3*n - 0 + 3. Factor 3 + 2*l**3 - 2*l - 80*l**2 + 78*l**2 - m.
2*(l - 1)**2*(l + 1)
Let b be 56/390 - (-76)/(-190). Let j = 23/39 + b. Find s, given that -2/3 - 1/3*s**3 + j*s + s**2 - 1/3*s**4 = 0.
-2, -1, 1
Let c(u) be the third derivative of u**6/40 + u**5/5 - 37*u**4/8 - 20*u**3 - 22*u**2 - 6*u. Factor c(x).
3*(x - 5)*(x + 1)*(x + 8)
Let c(u) be the third derivative of 5/144*u**4 + 0 + 1/1260*u**7 + 0*u - 1/18*u**3 + 23*u**2 - 1/120*u**5 - 1/720*u**6. Suppose c(h) = 0. What is h?
-2, 1
Let g(n) be the second derivative of -n**6/90 - n**5/15 - n**4/12 + 2*n**3/9 + 2*n**2/3 + 29*n. Find k such that g(k) = 0.
-2, -1, 1
Let i be (-4)/9 + (-330)/(-540). Let v(d) be the first derivative of -2 - i*d**6 + 0*d + 3/4*d**4 - d**2 - 1/5*d**5 + 1/3*d**3. Factor v(l).
-l*(l - 1)**2*(l + 1)*(l + 2)
Let i(w) = -2*w**2 - 12*w + 6. Let q be i(-6). Let v be (q/(-14))/(2/(-14)). Factor -1/3*c**4 + 0*c + 0 - 1/3*c**2 + 2/3*c**v.
-c**2*(c - 1)**2/3
Let m be (-40)/480 - (0 - 879/180). Factor 3*d**2 - m + 54/5*d.
3*(d + 4)*(5*d - 2)/5
Let j be 5 + (-1)/(-6) + (-4830)/1008. Let m(f) be the first derivative of j*f**3 - 3/4*f**2 - 12 + 7/32*f**4 - 1/2*f. What is r in m(r) = 0?
-2, -2/7, 1
Suppose 0 = -3*i + 2*a + 3*a + 20, 5*a - 20 = -5*i. Let x(j) be the first derivative of 1/4*j**4 - 3*j + i - 5/2*j**2 - 1/3*j**3. Determine z so that x(z) = 0.
-1, 3
Let y(a) be the first derivative of -2*a**6/9 - 2*a**5/9 + a**4/18 + 68. What is d in y(d) = 0?
-1, 0, 1/6
Let x(n) be the third derivative of -n**7/504 + n**6/144 - n**4/3 - 12*n**2. Let s(w) be the second derivative of x(w). Determine l so that s(l) = 0.
0, 1
Let h(u) be the third derivative of 1/30*u**6 + 0*u + 0*u**4 - 1/10*u**5 + 0*u**3 - 8*u**2 + 0 - 1/315*u**7. Determine k so that h(k) = 0.
0, 3
Let o be 3 - 0/(1 + 1). Let c = -42 - -40. Let a(w) = 7*w**3 - w**2 - 10*w - 2. Let m(x) = 6*x**3 - 2*x**2 - 9*x - 2. Let p(d) = c*a(d) + o*m(d). Factor p(z).
(z - 2)*(2*z + 1)**2
Let f(j) be the first derivative of -10/69*j**3 + 0*j**2 + 28 + 1/46*j**4 + 0*j. Factor f(i).
2*i**2*(i - 5)/23
Let y = -3 - -7. Let c = 24 + -19. Solve -3*u**2 + 54*u**2 - 16*u**3 + 16*u**5 - 9*u - 23*u**3 - 4*u**c - 9*u**y - 6 = 0 for u.
-2, -1/4, 1
Let c(r) be the first derivative of 2/9*r**3 + 9 - 8/3*r**2 + 14/3*r. Factor c(m).
2*(m - 7)*(m - 1)/3
Let f(c) be the third derivative of c**6/1080 + c**5/90 + c**4/18 - c**3 + 17*c**2. Let m(j) be the first derivative of f(j). Factor m(n).
(n + 2)**2/3
Let l(c) = -6*c**3 - c**2 - 1 - 10*c**3 + 17*c**3 - 4*c. Let v be l(3). Find q such that 2*q**2 + 4*q**3 - q**v - 2 + 4*q + 12*q - 19*q = 0.
-1, 1, 2
Let o be (-2)/5*(-85)/51. Let v(s) be the first derivative of 7 + 0*s + 1/3*s**2 - o*s**4 + 2/3*s**3. Solve v(c) = 0.
-1/4, 0, 1
Suppose 12 = 24*w - 21*w. Suppose 5*v + 0 = 3*j - w, -5*j + 16 = v. Find f, given that -68*f**j - 8 - 9/2*f**5 - 76*f**2 - 40*f - 57/2*f**4 = 0.
-2, -1, -2/3
Let c(z) = -z**2 + 4*z + 5. Let i be c(5). Suppose -2*v + 10 = -i. Factor 3 - 3 - 18*r**3 - 3*r + 15*r**2 + 12*r**4 - 3*r**2 - 3*r**v.
-3*r*(r - 1)**4
Let g(r) be the second derivative of r**4 + 0 + 3/20*r**5 + 3*r**2 + 5/2*r**3 + r. Suppose g(o) = 0. Calculate o.
-2, -1
Let q(k) = -k**3 + 7*k**2 + 8*k + 4. Let r be q(8). Factor 4*f**r + 4*f**3 + 16 - 4*f - 2*f**4 - 11 - 7.
2*(f - 1)*(f + 1)**3
Let d = 38014 - 38010. Solve 2*o**3 - 8 - 16*o - 8*o**2 + 1/2*o**5 + 5/2*o**d = 0 for o.
-2, -1, 2
Suppose -54*y = -310 + 94. Let t(k) be the second derivative of 1/14*k**3 + 1/84*k**y + 0 + 0*k**2 - 10*k. Factor t(p).
p*(p + 3)/7
Suppose -79 = 4*q - 91. What is k in -25/6*k**4 + 10/3*k + 10*k**2 + 0 + 5/2*k**q = 0?
-1, -2/5, 0, 2
Let z(l) be the second derivative of -l**5/5 + 2*l**3 - 4*l**2 + 44*l. Let z(b) = 0. Calculate b.
-2, 1
Factor -13/6*r + 0 - 1/6*r**2.
-r*(r + 13)/6
Suppose -30 = t + 2. Let d be (-36)/9 + 5/((-25)/t). Determine b, given that -3*b**4 - 12/5 + 21/5*b**5 - d*b - 69/5*b**3 + 87/5*b**2 = 0.
-2, -2/7, 1
Suppose -3*x - 5*r - 6 = 0, -3*x - r = -7 + 1. Let k(w) be the third derivative of -1/21*w**x + 6*w**2 + 0*w + 1/420*w**5 + 0 + 1/168*w**4. Factor k(q).
(q - 1)*(q + 2)/7
Let b be (21/(-1))/(0 - (-110)/(-1610)). Let a = b + -307. Determine u so that -12/11*u**2 - 2/11*u + a = 0.
-2/3, 1/2
Let z(r) be the second derivative of -5/12*r**4 + 0 + 5/6*r**3 + 5*r**2 + 8*r. Factor z(d).
-5*(d - 2)*(d + 1)
Let t(y) be the first derivative of y**5/15 - y**4/4 + y**3/9 + y**2/2 - 2*y/3 + 40. What is d in t(d) = 0?
-1, 1, 2
Let m(k) be the first derivative of k**5/240 - 5*k**4/96 + k**3/6 - 2*k**2 + 6. Let z(r) be the second derivative of m(r). Suppose z(g) = 0. What is g?
1, 4
Let h(o) = o**3 + 3*o**2 - o - 1. Let p(u) = -3*u**4 - 187*u**3 - 3945*u**2 - 23237*u + 63883. Let x(i) =