- 6/5*l**2.
-3*(l - 1)*(l + 1)*(l + 2)/5
Let s(l) = -l**2 - 8*l - 7. Let q(k) = k**3 + k**2 + k. Let y be q(-2). Let b be s(y). Factor 0 + 3/5*v**3 + 0*v**2 + 3/5*v**b + 0*v - 6/5*v**4.
3*v**3*(v - 1)**2/5
Let b be (-1052)/1904 - (-3)/4. Let v = b - -3/34. What is s in v*s**2 + 2/7 - 4/7*s = 0?
1
Let t(z) be the third derivative of z**5/60 - z**4/8 + z**2 + 41. Suppose t(o) = 0. What is o?
0, 3
Let z(j) be the second derivative of j**6/6 - 9*j**5/10 + j**4 + 4*j**3/3 + 12*j. Let z(p) = 0. What is p?
-2/5, 0, 2
Let a(x) be the third derivative of x**6/360 + x**5/36 + 7*x**4/72 + x**3/6 + 8*x**2 + 4*x. Find w such that a(w) = 0.
-3, -1
Let n(u) be the third derivative of -u**7/42 - u**6/10 - 3*u**5/20 - u**4/12 + 7*u**2. Factor n(p).
-p*(p + 1)**2*(5*p + 2)
Let g(c) = 2*c**2 - 2*c - 7. Let y be g(-4). Let a = y + -30. Factor -5/3*u**2 - 8/3*u - 4/3 - 1/3*u**a.
-(u + 1)*(u + 2)**2/3
Let v(j) be the third derivative of -j**8/240 - 19*j**7/840 - j**6/45 + j**5/30 + 2*j**3/3 - 8*j**2. Let o(u) be the first derivative of v(u). Factor o(w).
-w*(w + 1)*(w + 2)*(7*w - 2)
Factor -19*g**4 + 39*g**4 - g**5 - g - 2*g**2 + 2*g**3 + 1 - 19*g**4.
-(g - 1)**3*(g + 1)**2
Suppose -190*d + 28 = -183*d. Solve 0 + 3/5*m**5 + 18/5*m**3 + 3/5*m - 12/5*m**d - 12/5*m**2 = 0 for m.
0, 1
Let c(n) be the third derivative of n**6/300 - n**5/50 + 4*n**3/15 - 12*n**2. Factor c(o).
2*(o - 2)**2*(o + 1)/5
Let h(c) = -13*c**2 + 15*c + 9. Let s(y) = 3*y**2 - 4*y - 2. Let x(n) = -2*h(n) - 9*s(n). Factor x(a).
-a*(a - 6)
Let f(l) be the second derivative of 0*l**2 + 0*l**4 + 0*l**3 - 3*l - 1/21*l**7 + 0*l**6 + 0 + 1/10*l**5. Suppose f(u) = 0. What is u?
-1, 0, 1
Let f be -3*(2 + 30/(-9)). Let w be (4/50)/(f/40). Determine z, given that -w - 5*z**2 + 4*z = 0.
2/5
Factor 0*u**3 + 22*u + 12*u**2 - 3*u**3 + 3 + 9 + 5*u**3.
2*(u + 1)*(u + 2)*(u + 3)
Let v(t) be the third derivative of t**7/70 - 3*t**5/20 - t**4/4 - 15*t**2. Factor v(f).
3*f*(f - 2)*(f + 1)**2
Let u(v) be the second derivative of -v**7/420 + 7*v**6/240 - v**5/8 + 3*v**4/16 + 4*v**2 - 8*v. Let s(i) be the first derivative of u(i). Factor s(g).
-g*(g - 3)**2*(g - 1)/2
Let p = -16 - -20. Let h(k) be the second derivative of 0*k**2 - 1/6*k**p - 2/3*k**3 + 0 + k. Suppose h(l) = 0. What is l?
-2, 0
Let v(j) be the third derivative of j**8/6048 - 2*j**7/2835 + j**6/3240 + j**5/270 - j**4/8 - 4*j**2. Let a(z) be the second derivative of v(z). Factor a(l).
2*(l - 1)**2*(5*l + 2)/9
Let z(g) be the second derivative of 2*g**7/7 - 4*g**6/5 + 3*g**5/20 + 5*g**4/4 - g**3/2 - 3*g**2/2 - 12*g. Factor z(c).
3*(c - 1)**3*(2*c + 1)**2
Let j = -5 - -7. Let t = 6 - 4. Let -3*a + 6*a - t*a - a**j = 0. Calculate a.
0, 1
Let u(r) = -9*r**2 - 11*r - 2. Let z(o) = 13*o**2 + 16*o + 3. Let d = 4 - -3. Let v(s) = d*u(s) + 5*z(s). Factor v(p).
(p + 1)*(2*p + 1)
Let k(h) = 3 + 0*h**2 + 1 + 3*h**2. Let o(q) = -q**2 - 1. Let c(n) = -2*k(n) - 7*o(n). What is y in c(y) = 0?
-1, 1
Determine h, given that 14/3*h - 2*h**2 - 4/3 = 0.
1/3, 2
Factor -1/6*h**3 - 10/3*h + 8/3 + 4/3*h**2.
-(h - 4)*(h - 2)**2/6
Let s(p) = -p**3 - 6*p**2 - 12*p - 133. Let i be s(-7). Factor 4/7*t - 2/7*t**2 + i - 2/7*t**3.
-2*t*(t - 1)*(t + 2)/7
Let s(a) be the first derivative of -a**8/504 + a**6/60 + a**5/45 + a**2/2 + 2. Let g(r) be the second derivative of s(r). Factor g(u).
-2*u**2*(u - 2)*(u + 1)**2/3
Let w(j) be the third derivative of j**3 - 1/6*j**4 + 0 - 1/30*j**5 + 0*j - 4*j**2. Let w(u) = 0. Calculate u.
-3, 1
Let n be ((-1)/(3/(-6)))/1. Let i(y) be the first derivative of 1/2*y - 1/6*y**3 - 3 + 0*y**n. Determine q, given that i(q) = 0.
-1, 1
Suppose -4*r - 22 = -0*r + 5*i, 2*i + 10 = -2*r. Let h be ((1 + r)*2)/(-5). Determine f, given that 2/5 + 2/5*f + 2/5*f**4 - h*f**2 - 4/5*f**3 + 2/5*f**5 = 0.
-1, 1
Suppose -8 = -3*a - a. Factor 0*w**3 + 0*w**a + 0 + 1/2*w**4 + 0*w.
w**4/2
Let m = -37 + 127/3. Factor -m - 25/3*l**4 - 40*l**3 - 184/3*l**2 - 32*l.
-(l + 2)**2*(5*l + 2)**2/3
Let x be 71/24 + 6/18. Let r = -21/8 + x. Factor 6*v**2 - 4*v + r.
2*(3*v - 1)**2/3
Let l(z) be the third derivative of 7*z**2 + 1/180*z**5 - 2/9*z**3 + 0*z + 0 + 0*z**4. What is w in l(w) = 0?
-2, 2
Find x such that 2*x**2 - 8/7*x**3 + 4/7*x + 0 = 0.
-1/4, 0, 2
Let y be (-1)/(-10)*4*5. Factor -2*v**3 - 2*v**3 - 9*v**y + 2*v**4 + 11*v**2.
2*v**2*(v - 1)**2
Factor -28/5*j**3 - 1/5 - 17/5*j**4 - 4/5*j**5 - 22/5*j**2 - 8/5*j.
-(j + 1)**4*(4*j + 1)/5
Let m be ((-12)/(-9))/((-2)/(-3)). Factor 0 + 2/7*k - 2/7*k**m.
-2*k*(k - 1)/7
Factor -6*v**2 - 10*v - 14*v**2 + 25*v**2.
5*v*(v - 2)
Let d be 6/4 + 45/(-36). Determine j, given that -3/4*j - d - 3/4*j**2 - 1/4*j**3 = 0.
-1
Let f(o) be the second derivative of 0 + 1/4*o**4 - 2*o + 0*o**3 + 0*o**2. Factor f(d).
3*d**2
Let z(g) be the first derivative of -g**3/3 + g - 4. Let u(a) = a**3 + 3*a**2 - 3*a - 1. Let s(i) = u(i) + 3*z(i). Let s(d) = 0. Calculate d.
-2, 1
Suppose 24 - 49 = -5*f. Factor -54 - 108*a - 69/2*a**4 + 139/2*a**3 + 45/2*a**2 + 9/2*a**f.
(a - 3)**3*(3*a + 2)**2/2
Let v(d) be the second derivative of 27*d**5/100 + 4*d**4/5 + d**3/2 - 3*d**2/5 - d. What is b in v(b) = 0?
-1, 2/9
Let r(q) = 8*q**2 + 14*q + 5. Let i(w) = -9*w**2 - 15*w - 6. Let k(u) = -5*i(u) - 6*r(u). Factor k(j).
-3*j*(j + 3)
Suppose -5*s + 3*v - 3 + 15 = 0, -5*s - v = 4. Suppose 3*c - 9*c + 24 = s. Factor 0 + 0*f**c - 2/3*f**5 + 0*f**2 + 2/3*f**3 + 0*f.
-2*f**3*(f - 1)*(f + 1)/3
Let s = 11717/31 + -378. Let u = s - -65/93. Factor 2/3*f**2 + 0 - u*f + 2/3*f**3 - 2/3*f**4.
-2*f*(f - 1)**2*(f + 1)/3
Let f be (-28)/(-3) + 4/6. Suppose 3*g = -0*g + 12. Let g*i + 4 + 2*i + f*i**4 - 6*i**3 - 15*i**2 + i**2 = 0. What is i?
-1, -2/5, 1
Let w(u) be the second derivative of 0 - 2/3*u**2 + 1/9*u**4 + 0*u**3 + 4*u. Factor w(d).
4*(d - 1)*(d + 1)/3
Let a = -7 - -3. Let n = -2 - a. Factor -1/3*c**3 + 1/3 - 1/3*c**n + 1/3*c.
-(c - 1)*(c + 1)**2/3
Factor 0*q**3 + 18*q**2 - 2*q**2 + 3*q**3 + 12*q + q**3.
4*q*(q + 1)*(q + 3)
Let j(d) be the first derivative of -2*d**5/5 - 3*d**2/2 - 2. Let o(g) = -g**4 - 2*g. Let p(n) = 2*j(n) - 3*o(n). Factor p(h).
-h**4
Let m(k) be the second derivative of -k**4/3 + 10*k**3/3 - 8*k**2 + 9*k. Factor m(o).
-4*(o - 4)*(o - 1)
Let b(k) be the third derivative of k**6/240 - k**5/40 + k**3/3 - k**2 - 2*k. Determine m, given that b(m) = 0.
-1, 2
Let x(f) = f**3 - f**2 - 1. Let a(c) = 4*c**4 + 20*c**3 + 20*c**2 + 16*c. Let r(p) = a(p) - 4*x(p). Find i such that r(i) = 0.
-1
Let t be (-4)/4 - -7 - 4. Factor 2/11*k**t + 0 - 2/11*k.
2*k*(k - 1)/11
Let y(x) be the third derivative of x**10/18900 + x**9/30240 - x**5/30 - 3*x**2. Let g(h) be the third derivative of y(h). What is q in g(q) = 0?
-1/4, 0
Let d(c) = c**2 + 2*c + 2. Let v be d(-3). Let w = -6 - -9. Factor -1/4*u**v + 1/4*u**2 + 3/4*u**4 + 0*u + 0 - 3/4*u**w.
-u**2*(u - 1)**3/4
Let x(w) be the second derivative of -w**7/2940 + w**5/140 + w**4/42 + w**3/2 + 4*w. Let m(o) be the second derivative of x(o). Factor m(q).
-2*(q - 2)*(q + 1)**2/7
Let r(f) be the third derivative of -f**8/84 + f**7/18 - 4*f**6/45 + f**5/30 + f**4/18 - f**3/18 - 2*f**2. Find n such that r(n) = 0.
-1/3, 1/4, 1
Let f(a) = -6 - 9*a - 2*a**3 + 3*a - 8*a**2 - 4*a - 4*a**2. Let r(n) = 3*n**3 + 24*n**2 + 19*n + 13. Let h(g) = -5*f(g) - 2*r(g). Suppose h(w) = 0. Calculate w.
-1
Let f(j) be the first derivative of j**4/18 - 10*j**3/27 + 8*j**2/9 - 8*j/9 - 23. Suppose f(b) = 0. What is b?
1, 2
Let p(w) be the first derivative of 9*w + 3*w**2 + 1/3*w**3 + 5. Factor p(m).
(m + 3)**2
Let b = 450 + -1336/3. Factor -4/3*q**3 - 4/3*q**4 - b*q + 16/3*q**2 + 2/3*q**5 + 4/3.
2*(q - 1)**4*(q + 2)/3
Suppose 2*o + 3*o = 150. Factor 2*n**5 + o*n**2 - 4*n**4 - 30*n**2.
2*n**4*(n - 2)
Let p(z) be the third derivative of -32/9*z**3 - 18/7*z**7 + 27/56*z**8 + 20/3*z**4 + 2*z**2 - 8*z**5 + 6*z**6 + 0 + 0*z. What is j in p(j) = 0?
2/3
Factor 10/3*i - 10/3*i**3 + 0 - 5*i**2.
-5*i*(i + 2)*(2*i - 1)/3
Let z(a) = -a**3 - a**2 + a. Let v(c) = 4*c**4 - 4*c**3 + 4*c**2 + 4*c - 4. Let g(d) = -v(d) - 4*z(d). Factor g(p).
-4*(p - 1)**3*(p + 1)
Determine s so that 1/3*s**4 + s**3 + 0*s**2 - 4/3*s + 0 = 0.
-2, 0, 1
Let n be 3*(3 - 16/12). Let h(l) be the second derivative of 1/30*l**n + 2*l + 0*l**2 + 2/9*l**3 + 1/6*l**4 + 0. Find f such that h(f) = 0.
-2, -1, 0
Suppose 0 