6/15 + 6*b**5/5 - 32*b**4/3 - 26*b**3/3 + 12*b**2 - 40*b. Suppose l(j) = 0. What is j?
-3, -1, 2/7, 1
Let l(v) be the first derivative of -v**6/16 - 3*v**5/40 + 9*v**4/16 + 7*v**3/4 + 33*v**2/16 + 9*v/8 + 34. Factor l(g).
-3*(g - 3)*(g + 1)**4/8
Let a(o) be the first derivative of -3/5*o**5 + 0*o + 0*o**3 - 1/2*o**4 - 1/6*o**6 - 5 + 0*o**2. Find v such that a(v) = 0.
-2, -1, 0
Let y(s) be the third derivative of -s**7/210 - s**6/40 + s**4/6 - 18*s**2. Factor y(k).
-k*(k - 1)*(k + 2)**2
Let w(s) = s**3 - s**2. Let b(q) = 2*q**4 - 12*q**3 + 10*q**2 + 8*q - 8. Let m(u) = b(u) + 4*w(u). Factor m(f).
2*(f - 2)**2*(f - 1)*(f + 1)
Let a be (3 + -2)/(7 + -4). Let c(o) be the first derivative of -1/6*o**4 + 0*o + 0*o**3 + a*o**2 - 2. Suppose c(r) = 0. What is r?
-1, 0, 1
Let r(i) be the first derivative of -15*i**4/28 - 12*i**3/7 - 27*i**2/14 - 6*i/7 + 26. Factor r(v).
-3*(v + 1)**2*(5*v + 2)/7
Let d = 0 - 0. Suppose -2 = 10*j - 22. Factor -2/3*q + d + 2/3*q**j.
2*q*(q - 1)/3
Let w(k) be the first derivative of -1/18*k**4 + 1/2*k**2 - 1/180*k**5 + 1 - 2/9*k**3 + 0*k. Let i(l) be the second derivative of w(l). Factor i(o).
-(o + 2)**2/3
Let z(p) = -3*p**2 + 6*p + 9. Let a(m) = -m - 1. Let k(i) = 6*a(i) + z(i). Let k(w) = 0. Calculate w.
-1, 1
Factor 2/3*b + 10/9*b**3 - 14/9*b**2 - 2/9*b**4 + 0.
-2*b*(b - 3)*(b - 1)**2/9
Let n(x) be the second derivative of -5*x**7/42 - x**6/15 - 4*x. Factor n(q).
-q**4*(5*q + 2)
Let h(z) be the third derivative of -z**5/20 + 5*z**4/4 + 18*z**2 + 1. Factor h(o).
-3*o*(o - 10)
Let h(u) be the first derivative of 5*u**3/3 - 5*u - 7. Factor h(n).
5*(n - 1)*(n + 1)
Factor -18*k**2 - 3*k**3 - 9 - 10 + 43 + 3*k**4 + 12*k.
3*(k - 2)**2*(k + 1)*(k + 2)
Let w(i) = 6*i**3 - 2*i**2 - 4*i. Let o = 5 + -10. Let c(z) be the first derivative of -7*z**4/4 + z**3 + 5*z**2/2 + 1. Let g(b) = o*w(b) - 4*c(b). Factor g(s).
-2*s**2*(s + 1)
Let b be (-4)/3*(2 - 5). Suppose 0 = x - b*x + 6. Factor x + z - 7*z + 3*z**2 - z**2 + 2.
2*(z - 2)*(z - 1)
Let g be 4/7*49/42. Let 2/3*k**2 - 4/3*k + g = 0. Calculate k.
1
Let a(b) be the second derivative of 0*b**2 + 1/45*b**5 - 5/189*b**7 + 0*b**4 + 0*b**3 - 3*b + 0 - 1/45*b**6. Factor a(q).
-2*q**3*(q + 1)*(5*q - 2)/9
Let v(h) be the first derivative of -h**2/2 - 3*h + 2. Let z be v(-6). Solve -2/7*x**z - 24/7*x - 16/7 - 12/7*x**2 = 0.
-2
Let p(m) be the second derivative of m**7/2520 + m**6/270 + m**5/72 + m**4/36 - m**3/3 + 5*m. Let s(w) be the second derivative of p(w). Factor s(r).
(r + 1)**2*(r + 2)/3
Suppose x = 2*x + 7*x. Solve x*q + 4/9*q**2 + 0*q**3 - 2/9 - 2/9*q**4 = 0 for q.
-1, 1
Let m(o) be the first derivative of -1/2*o + 3/8*o**2 - 1/12*o**3 + 3. Factor m(q).
-(q - 2)*(q - 1)/4
Let h(t) be the third derivative of -t**7/525 - 17*t**6/300 - 8*t**5/15 - 16*t**4/15 - 65*t**2. Factor h(o).
-2*o*(o + 1)*(o + 8)**2/5
Let s(x) be the second derivative of -125*x**6/6 - 25*x**5 - 25*x**4/2 - 10*x**3/3 - x**2/2 + 18*x. Solve s(h) = 0 for h.
-1/5
Let q(m) be the third derivative of 0*m**3 + 0 + 0*m**4 - 1/140*m**6 - 1/1176*m**8 + 0*m + 1/245*m**7 + 2*m**2 + 1/210*m**5. Determine d, given that q(d) = 0.
0, 1
Solve -8*i + 5*i**5 + 5*i**2 - 5*i**3 - 5*i**4 + 8*i + 0*i = 0.
-1, 0, 1
Let y be ((-3)/(-14))/((-36)/(-42) - 0). Solve 1/4 + y*r**2 - 1/2*r = 0 for r.
1
Let q be 3*((-8)/6 + 2). What is j in 4*j**q - 59*j + 4*j**3 + 59*j = 0?
-1, 0
Let b = -4 + 5. Let k be b/2 + 3/(-6). Solve 2*l**2 - l - l**2 + k*l = 0 for l.
0, 1
Let q(s) be the third derivative of -s**7/12600 + s**6/1200 - s**5/300 + s**4/24 + 2*s**2. Let i(c) be the second derivative of q(c). Solve i(d) = 0.
1, 2
Let j(v) be the third derivative of -v**6/60 + v**4/12 + 3*v**2. Suppose j(x) = 0. Calculate x.
-1, 0, 1
Let w(r) be the first derivative of 8/21*r**3 + 4/35*r**5 + 1/7*r**2 + 1 + 5/14*r**4 + 0*r. What is d in w(d) = 0?
-1, -1/2, 0
Let l(t) be the second derivative of 5*t - 25/2*t**7 + 51/20*t**5 - 26*t**6 + 0 - 12*t**2 + 53/2*t**4 - 2*t**3. Suppose l(v) = 0. Calculate v.
-1, -2/7, 2/5
Let k(z) = -7*z**3 - z**2 + 2*z. Let a(s) = -20*s**3 - 2*s**2 + 5*s. Let w(d) = 6*a(d) - 17*k(d). What is m in w(m) = 0?
0, 1, 4
Let q(n) be the first derivative of n**3/3 - 4*n**2 - 7*n + 3. Let s be q(9). Factor 5*f + 2 - s*f - 2 - 3*f**2.
-3*f*(f - 1)
Let t(j) be the first derivative of -1/30*j**6 + 0*j**3 - 1/20*j**4 + 0*j**2 + 0*j + 2/25*j**5 + 3. Factor t(q).
-q**3*(q - 1)**2/5
Suppose 11 = -0*y + y + 2*d, y - 3*d = -14. Factor 2*f**3 - f + 3*f**2 + y + 4*f - f**3.
(f + 1)**3
Let s(i) be the second derivative of -i**7/6300 + i**5/300 + i**4/2 + 8*i. Let g(c) be the third derivative of s(c). Factor g(l).
-2*(l - 1)*(l + 1)/5
Let v(r) be the second derivative of -r**4/4 + 5*r**3/6 - r**2 - 9*r. Solve v(d) = 0.
2/3, 1
Let p = 4 - 11. Let a = p - -9. Factor -2 + 3/2*i**a + 0*i + 1/2*i**3.
(i - 1)*(i + 2)**2/2
Find x such that -3*x**4 - 10 + 12*x**3 + 3 - 13*x**2 + 4 + 12*x - 5*x**2 = 0.
1
Let b = 61 - 121/2. Find s such that -1/2*s**2 + 3/2*s**3 - 3/2*s + b = 0.
-1, 1/3, 1
Let u = -160 + 160. Find a, given that -2/5*a**3 + 0 + u*a - 2/5*a**2 = 0.
-1, 0
Let s(r) = 25*r + 450. Let l be s(-18). Find b, given that -1/2*b**3 - 2/3*b**2 + l - 1/6*b = 0.
-1, -1/3, 0
Factor -2*d**3 - 28*d**2 + 2*d**4 + 14*d**2 + 10*d**2.
2*d**2*(d - 2)*(d + 1)
Factor 1/3*v**2 + 0*v**3 - 1/3*v**4 + 0 + 0*v.
-v**2*(v - 1)*(v + 1)/3
Let k(u) = -2*u**4 + 2*u**2 + 2*u. Let m(p) = -4*p**4 + 4*p**2 + 5*p. Let n(x) = -5*k(x) + 2*m(x). Factor n(q).
2*q**2*(q - 1)*(q + 1)
Let f = 113 - 109. Factor -1/6*j + 1/6*j**f + 0 - 1/2*j**3 + 1/2*j**2.
j*(j - 1)**3/6
Let s = -13 + 3. Let k = 12 + s. Factor 0*r + 2/7*r**3 + 0*r**k + 0.
2*r**3/7
Let k(q) be the first derivative of q**6/270 + q**5/40 + q**4/36 - q**3/3 + 1. Let o(l) be the third derivative of k(l). Determine a so that o(a) = 0.
-2, -1/4
Let i(v) be the first derivative of -2*v**3/9 - v**2 + 7. Factor i(x).
-2*x*(x + 3)/3
Let y = -789/7 + 113. Let p = 142 - 992/7. Factor 2/7*h**2 - p + 2/7*h - y*h**3.
-2*(h - 1)**2*(h + 1)/7
Suppose 0 = g + 3*t + 2*t - 8, 0 = -t + 1. Factor 2 - 4*c**5 + 2*c**5 - 50*c**2 - 6*c - 38*c**g - 14*c**4 - 10 - 26*c.
-2*(c + 1)**3*(c + 2)**2
Suppose -p + 4*p + 8 = w, 5*p = -5*w + 20. Let v be 1/w + (-42)/(-15). Determine d, given that -1/2*d + 0 + 0*d**2 + 1/2*d**v = 0.
-1, 0, 1
Let n(i) be the second derivative of i**6/70 - 11*i**5/140 + i**4/14 + 2*i**3/7 - 4*i**2/7 - 12*i. Factor n(j).
(j - 2)**2*(j + 1)*(3*j - 2)/7
Let k = -33 - -24. Let d be (k - -7)*(-2 - -1). Find z such that -8/9 - 2/9*z**d - 8/9*z = 0.
-2
Let u(y) = y - 4. Let n be u(6). Let c be (1/n)/(2 - 1). Factor f**2 + 1/2*f**3 - c*f - 1.
(f - 1)*(f + 1)*(f + 2)/2
Factor -20/3*j**4 - 8/3*j**3 + 0 + 0*j**2 + 0*j.
-4*j**3*(5*j + 2)/3
Let l(a) = -6*a**2 - 5*a - 3. Let j(v) = 7*v**2 + 6*v + 4. Let q(r) = -4*j(r) - 5*l(r). Factor q(w).
(w + 1)*(2*w - 1)
Let k(o) be the second derivative of -3*o**5/20 + 3*o**4/4 - o**3 + 3*o. Factor k(u).
-3*u*(u - 2)*(u - 1)
Let v be (2 - 1)/((-10)/(-5)). Let o(t) be the first derivative of -8/3*t**3 + 2/5*t**5 - 7/2*t**2 - 2*t - v*t**4 + 1/6*t**6 + 4. Factor o(m).
(m - 2)*(m + 1)**4
Let f be (2/7)/(0 - (-30)/70). Determine p so that 2/3*p**2 + 0*p + 0 - f*p**3 - 2/3*p**4 + 2/3*p**5 = 0.
-1, 0, 1
Let a(n) = -24*n**3 - 27*n**2 - 66*n - 45. Let l(h) = 11*h**3 + 14*h**2 + 33*h + 22. Let o(f) = -4*a(f) - 9*l(f). Factor o(p).
-3*(p + 1)*(p + 2)*(p + 3)
Determine v so that 4*v**3 + 2/3*v**4 + 6*v**2 + 0 + 8/3*v = 0.
-4, -1, 0
Let h(r) = -6*r**2 + 3*r + 3. Let l(j) = 3*j**2 - j - 2. Let b(u) = 2*h(u) + 5*l(u). Let c(s) = s**2 + s - 2. Let x(w) = -2*b(w) + 5*c(w). Factor x(a).
-(a - 2)*(a - 1)
Let f(h) be the second derivative of h**5/60 + h**4/9 + 5*h**3/18 + h**2/3 - 6*h. Factor f(g).
(g + 1)**2*(g + 2)/3
Let h(a) be the second derivative of 0*a**4 + 0*a**3 + 3/20*a**5 + 0*a**2 + 0 + 1/14*a**7 + a + 1/5*a**6. Factor h(j).
3*j**3*(j + 1)**2
Let d(g) be the first derivative of 1 + 0*g**5 + 0*g**2 + 1/12*g**4 - 1/180*g**6 - 1/3*g**3 + 0*g. Let s(u) be the third derivative of d(u). Factor s(q).
-2*(q - 1)*(q + 1)
Let r = -35 - -35. Let l(y) be the second derivative of y + r - 1/4*y**2 - 1/48*y**4 + 1/8*y**3. Let l(d) = 0. What is d?
1, 2
Let v be 3 - (-2)/(6/3). Let a be (6/v)/(3/10). Determine y so that -5*y**2 - a*y**