)/(3/(-4)). Factor -3*l - l**3 + 2*l + d*l**3.
l*(l - 1)*(l + 1)
Let m(n) be the first derivative of -1/4*n**6 + 3/10*n**5 + 6 + 0*n - 1/2*n**3 + 3/8*n**4 + 0*n**2. Solve m(o) = 0.
-1, 0, 1
Suppose 0*g + 10 = 2*o - 2*g, 7 = 2*o - 5*g. Suppose -2*q = -5*q + o. Determine r so that 2*r**5 - 4*r**2 + 0*r**2 + 0*r**2 - q*r + 4*r**4 = 0.
-1, 0, 1
Let p be (-6)/((-95)/10 + 2). Solve -16/5*w**3 - 6/5*w**2 + 2*w + 8/5*w**4 + p = 0.
-1/2, 1, 2
Let a(i) be the third derivative of i**8/840 + i**7/525 - 2*i**6/75 - 4*i**5/75 + 4*i**4/15 + 16*i**3/15 - 25*i**2. Find s such that a(s) = 0.
-2, -1, 2
Suppose 4 = 3*c + 10. Let f(z) = 2*z**5 - 2*z**4 + z**3 - 1. Let s(l) = l**5 - l**4 + l**3 - 1. Let m(i) = c*f(i) + 2*s(i). Factor m(v).
-2*v**4*(v - 1)
Let j be (-9)/30*(-5)/30*2. Let y(l) be the second derivative of l**2 - 1/6*l**4 + j*l**5 + 0 - 3*l - 1/3*l**3. Solve y(d) = 0.
-1, 1
Let c(v) = -5*v + 4*v + 2*v - 2*v. Let u be c(-2). Determine s so that 7*s**3 + 6*s**3 + s**3 + 7*s**4 - 17*s**4 - 4*s**u = 0.
0, 2/5, 1
Let y be ((-314)/2)/(5/20). Let k = -423 - y. What is l in -8*l**2 - 88*l**5 - 64*l**3 - k*l**4 - 10*l**5 + 51*l**4 = 0?
-1, -2/7, 0
Let v(g) be the second derivative of -g**5/5 - g**4/3 - 10*g. Factor v(t).
-4*t**2*(t + 1)
Let f(j) be the third derivative of 0*j**3 + 0*j - 1/15*j**5 + 0 + 2/105*j**7 + 1/6*j**4 - 1/30*j**6 + 2*j**2. Factor f(n).
4*n*(n - 1)**2*(n + 1)
Let j(h) = -3*h**5 + 3*h**4 + 6*h**2 + 3*h + 9. Let n(s) = s**4 + 1. Let d(i) = j(i) - 9*n(i). Factor d(q).
-3*q*(q - 1)*(q + 1)**3
Let l = 695/2 + -336. Let u = 12 - l. Find b, given that -1/2 + 1/2*b**2 - u*b**3 + 1/2*b = 0.
-1, 1
Let i be (-2)/((-15)/9 + 1). Let f be ((-60)/(-18))/(8/i). Suppose x**2 + f*x + 1/4*x**3 + 1/2 = 0. Calculate x.
-2, -1
Let a(r) = -r**2 + 5*r - 3. Let g be a(3). Suppose -16 = -g*t - l, 2*t + 3*l - 12 = 2*l. Factor -6*q**3 - 3*q + q + 3*q**2 + 2*q**t + 3*q**2.
2*q*(q - 1)**3
Solve -2/3*q - 2/9*q**2 + 8/9 = 0.
-4, 1
Suppose 112*l = 116*l - 12. Let u(j) be the first derivative of -4*j - 2/3*j**3 - 3 - l*j**2. What is b in u(b) = 0?
-2, -1
Let j(h) be the third derivative of h**9/13440 + h**8/1920 + h**7/630 + h**6/360 - h**5/15 + 3*h**2. Let o(p) be the third derivative of j(p). Factor o(n).
(n + 1)*(3*n + 2)**2/2
Factor 2*v**4 - v - 5*v + 4 - 6*v - 2*v + 18*v**2 - 10*v**3.
2*(v - 2)*(v - 1)**3
Let g be (-9)/3 + 5 + 376. Let u be 24/g - (-2)/9. Let 0*r**2 - 4/7*r**3 + u*r**4 - 2/7 + 4/7*r = 0. What is r?
-1, 1
Let w(r) = -r**3 - 3*r**2 + 8*r + 10. Let z be w(-1). Suppose 0 + z*g + 2/15*g**3 + 0*g**2 = 0. Calculate g.
0
Let i = 6 - -403. Let n = i - 3677/9. Factor -n*f + 4/9*f**3 + 2/9*f**4 - 2/9 + 0*f**2.
2*(f - 1)*(f + 1)**3/9
Let v(s) be the first derivative of -7*s**4 - 3 + s**4 + 2*s**3 + 2*s**3 - 3*s**5 - 1. Factor v(r).
-3*r**2*(r + 2)*(5*r - 2)
Let o = 17 + -12. Let u(l) = 40*l**4 - 4*l**3 - 24*l**2 + 4*l. Let f(i) = -13*i**4 + i**3 + 8*i**2 - i. Let j(w) = o*u(w) + 16*f(w). Factor j(p).
-4*p*(p - 1)*(p + 1)*(2*p + 1)
Suppose 0 = -2*v - 0 - 6. Let d = 6 + v. Determine p so that -p + d*p**2 - p - p**2 = 0.
0, 1
Factor -32*g - 5*g**2 + 3*g**2 - 16 - 2*g**2 + 4*g**4 + 20*g**3 - 4*g**5.
-4*(g - 2)**2*(g + 1)**3
Suppose 0 = 4*a + z + 26, -3*a + z = -3*z + 10. Let q be a/1*(-2)/4. Suppose 0 + 0*u**2 + 0*u**q - 1/3*u**4 + 0*u = 0. What is u?
0
Suppose 2*m + 5*j - 19 = 0, 4*j - 9 + 3 = 3*m. Let -3*r + m*r - 8*r**4 - 4*r - 4*r**3 + 3*r + 8*r**2 + 6*r**5 = 0. Calculate r.
-1, 0, 1/3, 1
Suppose 0 = 3*x + 62 + 10. Let n be (-22)/x + 14/(-21). Suppose n*j**2 + 0 + 0*j = 0. What is j?
0
Let l(p) be the third derivative of -p**6/480 + p**5/240 + 3*p**4/32 - 3*p**3/8 + 2*p**2. Let l(a) = 0. Calculate a.
-3, 1, 3
Let w(b) be the third derivative of 0*b - b**2 + 1/30*b**4 + 1/150*b**5 - 1/5*b**3 + 0. Factor w(n).
2*(n - 1)*(n + 3)/5
Let c(p) be the second derivative of p - 1/12*p**4 + 0*p**2 + 0 - 1/3*p**3. Factor c(y).
-y*(y + 2)
Let v(z) be the second derivative of -z**8/840 - z**7/210 - z**6/180 + z**3/3 - 2*z. Let w(q) be the second derivative of v(q). Factor w(o).
-2*o**2*(o + 1)**2
Let c(k) = k**2 - k - 2. Let a be c(-3). Let i be ((-12)/a)/((-6)/20). Suppose -w**i + 3*w**4 - 3*w**2 + 0*w**2 + w**2 = 0. Calculate w.
-1, 0, 1
Let b be 9/(-12)*-1*144/486. Factor 2/3 - b*q**2 - 4/9*q.
-2*(q - 1)*(q + 3)/9
Let o(c) be the third derivative of -c**9/120960 - c**8/13440 - c**7/3360 - c**6/1440 + c**5/60 - c**2. Let g(n) be the third derivative of o(n). Factor g(z).
-(z + 1)**3/2
Factor -1 + 1/2*p**3 + p**4 - 7/2*p - 3*p**2.
(p - 2)*(p + 1)**2*(2*p + 1)/2
Let j = -432 - -432. Factor -1/3*q**2 + 1/3 + j*q.
-(q - 1)*(q + 1)/3
Let j(c) be the third derivative of -c**8/224 + c**7/70 - c**5/20 + c**4/16 - 15*c**2. Factor j(o).
-3*o*(o - 1)**3*(o + 1)/2
Let n = -9 - -15. Find k, given that -n + 4*k + 15*k**2 - 4*k**3 - 11*k**2 + 2 = 0.
-1, 1
Let h be 24/(8/2) + -1. Find a such that -4*a**h - a**4 + 5*a**2 + 3*a + 5*a + 12*a**3 + 5*a**4 - 25*a**2 = 0.
-2, 0, 1
Let z(o) be the third derivative of o**8/1512 + o**7/945 - o**6/180 - o**5/54 - o**4/54 - 15*o**2. Factor z(v).
2*v*(v - 2)*(v + 1)**3/9
Let c be -1 - 1*(-15)/12. Let s(i) = i**3 + 3*i**2 - 9*i - 17. Let z be s(-4). Let 1/4*j**z + 0 - 1/4*j**4 + 1/4*j**2 - c*j = 0. Calculate j.
-1, 0, 1
Let b = 13 - 8. Factor 0*s**2 + 0*s + 363/5*s**b + 0 - 132/5*s**4 + 12/5*s**3.
3*s**3*(11*s - 2)**2/5
Let z(s) = -38*s**3 + 66*s**2 - 24*s + 2. Let o(b) = 113*b**3 - 197*b**2 + 72*b - 5. Suppose 17 = 3*j - 4*j. Let m(g) = j*z(g) - 6*o(g). Factor m(y).
-4*(y - 1)**2*(8*y + 1)
Let l(m) be the first derivative of m**6/3 - 16*m**5/15 + 2*m**4/3 - 17. What is r in l(r) = 0?
0, 2/3, 2
Let w(l) be the third derivative of -2*l**7/175 - l**6/150 + 2*l**5/75 - 3*l**2. Determine t, given that w(t) = 0.
-1, 0, 2/3
Let t(h) be the first derivative of -h**7/2520 + h**5/360 + 2*h**3/3 + 7. Let a(j) be the third derivative of t(j). Factor a(n).
-n*(n - 1)*(n + 1)/3
Let a(i) be the second derivative of i**8/168 + i**7/105 - i**6/60 - i**5/30 + i**2/2 + 2*i. Let k(n) be the first derivative of a(n). Factor k(c).
2*c**2*(c - 1)*(c + 1)**2
Let n(q) = -q**4 + q**3 + q**2 + q + 1. Let u(k) = 6*k**5 + 33*k**4 + 27*k**3 - 49*k**2 - 19*k - 1. Let d(x) = 2*n(x) + 2*u(x). Let d(g) = 0. What is g?
-3, -1/3, 0, 1
Let n(q) be the third derivative of -8*q**5/15 - 2*q**4/3 - q**3/3 - 7*q**2. Solve n(k) = 0 for k.
-1/4
Let v(j) be the third derivative of 0*j + 3*j**2 + 1/120*j**6 - 1/210*j**7 + 0 + 0*j**3 - 1/24*j**4 + 1/60*j**5. Solve v(k) = 0.
-1, 0, 1
Let b(s) be the first derivative of s**6/60 + s**5/30 - s**4/12 - s**3/3 - 3*s**2/2 + 1. Let q(w) be the second derivative of b(w). Let q(p) = 0. What is p?
-1, 1
Let i(m) = -2*m**2 + 2. Suppose -4*c = -48 + 8. Let x(n) = -n**2 + 1. Let w = -5 - 1. Let d(b) = c*x(b) + w*i(b). Factor d(g).
2*(g - 1)*(g + 1)
Let n be (-5 + 1)/((-49)/(-21)). Let z = -8/21 - n. Find p, given that -z*p - 2/3*p**2 - 2/3 = 0.
-1
Let w = -9 - -9. Let z(g) be the second derivative of 0*g**3 + w*g**2 + g + 1/54*g**4 - 1/135*g**6 + 0*g**5 + 0. Factor z(r).
-2*r**2*(r - 1)*(r + 1)/9
Solve 17*v**3 + 4*v**5 - 8*v**5 + 32*v**2 - 5*v**3 - 8*v**4 + 16*v = 0 for v.
-2, -1, 0, 2
Suppose 0 = -d - 4*x - 8, -3*x + 7 = -0*d + 4*d. Suppose -5*u = -5*z - d - 1, 4*z = -5*u + 14. Let -4/9 - 2/9*o + 2/9*o**u = 0. What is o?
-1, 2
Find s such that 0 - 1/3*s**4 + 1/3*s**2 - 2/3*s + 2/3*s**3 = 0.
-1, 0, 1, 2
Let r(s) = s**2 + 5*s + 2. Let k be r(-5). Suppose 0 = -5*x + 4*o - 4, -3*x + o + k = 3*o. What is t in -4/9*t**5 + x - 2/9*t**3 + 2/3*t**4 + 0*t**2 + 0*t = 0?
0, 1/2, 1
Let k(u) = u**3 - 7*u**2 + 1. Let h be k(7). Find l, given that -7*l - 7*l**2 + 0*l - 2*l**2 - 5*l**3 - l**4 - h - 1 = 0.
-2, -1
Factor 8/3*f**2 + 0 + 2/3*f**3 + 8/3*f.
2*f*(f + 2)**2/3
Let m(y) be the second derivative of 5/2*y**3 + 4*y + 7/4*y**4 - 3*y**2 + 0. Factor m(i).
3*(i + 1)*(7*i - 2)
Suppose -4*c + 0*c = 8. Let t(w) = -w + 2. Let z be t(c). Factor -z*j**3 + j**3 - j**4 + 2*j**3 + j**2 + j**5.
j**2*(j - 1)**2*(j + 1)
Let j be 5*((1 - -1) + -1). Find p such that -25/4*p**j + 0*p - 45/4*p**4 - 6*p**3 - p**2 + 0 = 0.
-1, -2/5, 0
Let m be (-184)/(-36) + -4 - 1. Let c(p) be the second derivative of -1/9*p**2 - 1/18*p**4 + 0 + 1/90*p**5 + m*p**3 - p. Let c(v) = 0. What is v?
1
Let o(s) = 