+ 3 + 40*l**r - 8*l**2 + 8*l**5 - 30*l**4.
2*(l - 1)**4*(4*l + 1)
Let d(k) be the first derivative of -2*k**3/21 + 2*k**2/7 - 2*k/7 - 11. Factor d(a).
-2*(a - 1)**2/7
Let u(l) be the second derivative of l + 0 - 1/30*l**6 - 1/12*l**4 - 1/10*l**5 + 0*l**2 + 0*l**3. Let u(o) = 0. Calculate o.
-1, 0
Let v(y) be the second derivative of -y**7/147 + y**6/30 - 3*y**5/140 - 2*y**4/21 + 2*y**3/21 - 2*y. Solve v(f) = 0.
-1, 0, 1/2, 2
Let l(i) = -9*i**3 + 7*i**2 + 2*i. Let n(t) = 3*t**3 - 2*t**2 - t. Let j(q) = -2*l(q) - 7*n(q). Factor j(x).
-3*x*(x - 1)*(x + 1)
Let x(w) = 11*w**2 + 60*w + 16. Let c(f) = 34*f**2 + 180*f + 48. Let a(i) = 3*c(i) - 8*x(i). Find s such that a(s) = 0.
-4, -2/7
Let 0*s + 5*s**3 - 10*s**4 + 0*s - 8*s**5 - 7*s**3 = 0. What is s?
-1, -1/4, 0
Let -38*l + 132*l + 50*l - 16 - 324*l**2 = 0. Calculate l.
2/9
Suppose -t - 8 = -3*t - 2*a, -t + 5 = 2*a. Let 6*z**2 - 1 - z**4 + 2*z**2 - 3*z**4 - t - 6*z**3 + 6*z = 0. What is z?
-2, -1, 1/2, 1
Let w(f) be the first derivative of 21*f**5/5 - 15*f**4/4 - 2*f**3 - 5. Determine p, given that w(p) = 0.
-2/7, 0, 1
Let z(i) = -6*i**2 - i. Let s be z(-1). Let u = 7 + s. Find l, given that 34*l - 34*l - 2 + 2*l**u = 0.
-1, 1
Suppose 0 = -4*k - 2*f + 8, -f - 20 = -2*k - 6*f. Determine s so that 0*s**2 + 2/3*s**3 + 0*s + k*s**4 - 2/3*s**5 + 0 = 0.
-1, 0, 1
Let f(u) = -7*u**3 - 23*u**2 + 90*u - 8. Let t(v) = 5*v**3 + 15*v**2 - 60*v + 5. Let m(r) = -5*f(r) - 8*t(r). Find y, given that m(y) = 0.
-3, 0, 2
Let w(z) = -z**2 - 7*z + 4. Let m be w(-7). Factor j**m + 2*j**5 + 6*j**3 + 9*j**2 - 7*j**2 + 5*j**4.
2*j**2*(j + 1)**3
Suppose 5*r + 20 = 5*z, -2*r - 3*r = -2*z + 5. Let v be ((-40)/80)/(((-10)/(-12))/(-5)). Factor -2/3*y**v + 0 + 0*y + 2/3*y**z + 0*y**2 + 0*y**4.
2*y**3*(y - 1)*(y + 1)/3
Suppose -10*y**3 + 8*y - 16*y**4 - 20*y**3 + 10*y**3 + 28*y**2 = 0. What is y?
-2, -1/4, 0, 1
Suppose 0 = -5*d + 64 + 11. Suppose 5*o - 5 = d. Factor 22/3*q**3 - o*q**2 + q**5 - 1/3*q + 2/3 - 14/3*q**4.
(q - 2)*(q - 1)**3*(3*q + 1)/3
Let i be (-3)/1*5/(-3). Factor 0*u**4 + 3*u**4 + 0*u**4 + u**i + 4 - 7*u**2 - u**3.
(u - 1)**2*(u + 1)*(u + 2)**2
Suppose -4*x + 6 = -x. Solve -2*h**x - 3*h + 2*h - 2*h - h - 2 = 0 for h.
-1
Let l(z) = -z + 1. Let d be l(-2). Let s be ((-32)/168)/((-1)/d). Determine u, given that 0 - 6/7*u**2 - s*u - 2/7*u**3 = 0.
-2, -1, 0
Let k(r) be the second derivative of -r**7/12600 + r**6/1800 + r**4/6 + r. Let u(i) be the third derivative of k(i). Factor u(n).
-n*(n - 2)/5
Let g = 65/3 - 21. Let w(z) be the third derivative of -g*z**3 - 1/12*z**4 + 0 + 0*z + 1/30*z**5 + z**2. Factor w(r).
2*(r - 2)*(r + 1)
Factor 12/5*y**2 - 3/2*y + 1/5 + 8/5*y**3.
(y + 2)*(4*y - 1)**2/10
Factor 11*c**2 - 4*c - 3 - 12*c**2 + 0.
-(c + 1)*(c + 3)
What is b in -45*b**2 - 39*b**4 + 204*b + 201*b**3 + 5 - 297*b**2 - 29 = 0?
2/13, 1, 2
Factor 2/3*b**2 + 10/3*b - 2/3*b**3 + 2.
-2*(b - 3)*(b + 1)**2/3
Let h be 178/(-558) + (-2)/(-9). Let f = 151/279 + h. Solve -2/9*v**3 + 0*v + 0*v**2 - 2/9*v**5 - f*v**4 + 0 = 0 for v.
-1, 0
Let k(x) be the first derivative of 1/30*x**6 + 2 + 0*x**2 - 1/6*x**3 + 1/20*x**5 - 1/12*x**4 - x. Let r(y) be the first derivative of k(y). Factor r(d).
d*(d - 1)*(d + 1)**2
Factor -2/3*i**2 + 2 - 4/3*i.
-2*(i - 1)*(i + 3)/3
Let c(s) = -s**3 - 23*s**2 - 21*s + 24. Let w be c(-22). Suppose -16/5*g**3 + 0 - 2/5*g**5 + 0*g + 8/5*g**w + 2*g**4 = 0. Calculate g.
0, 1, 2
Let s(d) be the second derivative of -3*d**5/140 - d**4/7 - 5*d**3/14 - 3*d**2/7 + 46*d. Solve s(l) = 0 for l.
-2, -1
Let a(s) be the second derivative of -s**8/1344 + s**7/840 + s**6/480 - s**5/240 - 9*s**2/2 - 5*s. Let b(f) be the first derivative of a(f). Factor b(h).
-h**2*(h - 1)**2*(h + 1)/4
Suppose 4*f + 37 - 45 = 0. Let 0 + 0*j + 8/5*j**4 - 2/5*j**3 + 0*j**f = 0. What is j?
0, 1/4
Suppose 2*f + 0*f = 8. Let x(d) be the first derivative of -3*d**2 + 1 - f*d - 2/3*d**3. Factor x(g).
-2*(g + 1)*(g + 2)
Solve -25*t + 9*t - 5*t**2 + 11*t = 0.
-1, 0
Let a(b) = b**2 - 2*b + 2. Let l be a(2). Determine u so that u**4 - u**4 + 4*u**4 + 2*u - 2*u**5 - 4*u**l = 0.
-1, 0, 1
Let w(b) be the third derivative of -b**5/15 - b**4/12 - 14*b**2. Factor w(o).
-2*o*(2*o + 1)
Let s(y) be the third derivative of y**6/900 + y**5/150 + y**4/60 + y**3/45 - 18*y**2. Find c such that s(c) = 0.
-1
Suppose 4*r + c = -0 + 35, 4*c = r + 4. Suppose h - 5*h + r = 0. Factor -2*j - j + h*j**3 + 5*j - 4*j**2.
2*j*(j - 1)**2
Let t(k) be the third derivative of k**7/315 - k**6/240 - k**5/72 + k**4/48 + k**3/36 - 10*k**2. Determine n so that t(n) = 0.
-1, -1/4, 1
Let w(x) be the first derivative of x**5/10 - 9*x**4/8 + 7*x**3/2 - 19*x**2/4 + 3*x - 18. Find c such that w(c) = 0.
1, 6
Find q such that 0 + 1/4*q - 1/4*q**3 - 1/4*q**4 + 1/4*q**2 = 0.
-1, 0, 1
Let a(c) be the first derivative of 0*c - 1/3*c**6 - c**2 - 8/5*c**5 - 3*c**4 - 8/3*c**3 - 1. Factor a(g).
-2*g*(g + 1)**4
Let o(v) be the third derivative of v**8/336 + v**7/120 + v**6/180 - v**3/3 + 5*v**2. Let s(q) be the first derivative of o(q). Factor s(p).
p**2*(p + 1)*(5*p + 2)
Factor 6/5*f**3 - 3/5*f**4 + 0 - 3/5*f**2 + 0*f.
-3*f**2*(f - 1)**2/5
Let w(d) be the third derivative of -d**8/10080 - d**7/840 - d**6/180 - d**5/60 - 2*d**2. Let r(k) be the third derivative of w(k). What is a in r(a) = 0?
-2, -1
Let v = -63 - -69. Let n(d) be the second derivative of 0*d**2 + 0*d**4 + 0*d**3 - 1/40*d**5 - 1/60*d**v + 0 + d. Factor n(f).
-f**3*(f + 1)/2
Let a(w) = w**2 - 20*w + 3. Let v(f) = f**2 + 1. Let u(i) = -a(i) + 3*v(i). Factor u(r).
2*r*(r + 10)
Let z be (0 - 6)*1 - -2. Let i be z/2 + 28/7. Find p, given that 2*p**3 - p**3 + 2 + 6*p**i + 12*p + 3 + 3 = 0.
-2
Let i(j) = -j**3 - 6*j**2 - 6*j - 1. Let g be i(-5). Let f = g + -18/5. Factor 0 + 0*k + f*k**2.
2*k**2/5
Suppose -5*w = -4*i - 17, 0*i - 3 = -4*i + w. Suppose 2 + i = 2*o. Factor 1 - 2*m**2 + 1 + 0 - 2*m + o*m**3.
2*(m - 1)**2*(m + 1)
Let c(x) be the first derivative of 1/5*x**5 + 0*x**2 + 1/2*x**4 + 1/3*x**3 - 2 + 0*x. Suppose c(w) = 0. What is w?
-1, 0
Let d(x) be the second derivative of x**6/45 - x**5/6 + x**4/2 - 7*x**3/9 + 2*x**2/3 + 11*x. Find q such that d(q) = 0.
1, 2
Let i(b) be the second derivative of b**6/135 + b**5/90 - b**4/18 - b**3/27 + 2*b**2/9 - b. Factor i(x).
2*(x - 1)**2*(x + 1)*(x + 2)/9
Let j(n) be the second derivative of n**4/3 + 8*n**3/3 + 6*n**2 + 9*n. Determine z, given that j(z) = 0.
-3, -1
Let f(k) be the third derivative of -4/21*k**3 - 10*k**2 + 0*k + 0 + 1/210*k**5 + 1/28*k**4. Determine r, given that f(r) = 0.
-4, 1
Solve -1/2*k**5 + 0 - 3/2*k + 2*k**3 + k**4 - k**2 = 0 for k.
-1, 0, 1, 3
Let y be 5/2*(-32)/(-20). Suppose 5*j = -0*j + 10. Factor -v**5 + 3*v**2 - j*v**3 - v**2 - 3*v**y + 7*v + 1 - 4*v.
-(v - 1)*(v + 1)**4
Let b = 107 + -105. Let n(g) be the first derivative of 0*g**3 + 0*g**2 + 0*g + b + 1/5*g**5 + 1/2*g**4. Determine v so that n(v) = 0.
-2, 0
Suppose 5*l - 21 = 2*z - 5*z, -5*l + 25 = 5*z. Factor w**z + 2*w + w**2 - 4 + 0*w - 4*w.
2*(w - 2)*(w + 1)
Let h(f) = 2*f**3 - 3*f. Let n(l) = -6*l**3 + 10*l. Let c(t) = 10*h(t) + 3*n(t). Factor c(p).
2*p**3
Let x be 3 - ((-63)/(-15) + -2). Determine g so that -4/5*g**3 - 12/5*g**2 + 8/5 + 4/5*g + x*g**4 = 0.
-1, 1, 2
Suppose 0*d + 3*t = 3*d - 9, -14 = -3*d - 2*t. Factor -2 - 21*c**d + 1 - 45*c**2 + 3*c + 7 + 57*c**3.
-3*(c - 1)**3*(7*c + 2)
Let s(n) = -2*n**2 + 3*n - 3. Let w be s(2). Let q(m) = -6*m**2 - m. Let k(l) = -3*l**2. Let c(d) = w*k(d) + 3*q(d). Factor c(g).
-3*g*(g + 1)
Factor 10*n**3 - 10*n**3 + 81*n**4 - 77*n**4.
4*n**4
Let z be (6/20)/((-48)/(-64)). Solve -6/5*q + 0 + z*q**2 = 0.
0, 3
Let k = 32 + -28. Let u(f) be the third derivative of -f**2 + 0*f + 2/3*f**3 - 7/12*f**k + 0 - 3/10*f**5. Factor u(h).
-2*(h + 1)*(9*h - 2)
Factor 19 - r**2 - 19 + r**3.
r**2*(r - 1)
Let i(a) be the second derivative of a**5/40 + a**4/6 - 5*a**3/12 - 11*a. Factor i(y).
y*(y - 1)*(y + 5)/2
Let w be 9/5*(-15)/(-18). Factor -3/2*l + w*l**2 - 3.
3*(l - 2)*(l + 1)/2
Find n such that -3*n**2 + 4 - 1 + 0 = 0.
-1, 1
Let d(a) = 169*a**2 - 55*a + 1. Suppose -2*j - 11 = k, 2*j - 2*k + 2 = -2*j. Let q(u) = -338*u**2 + 109*u - 3. Let p(y) = j*q(y) - 5*d(y). Factor p(z).
(13*z - 2)**2
Let b = -16/3 + 6. Let y(h) be the second derivative of 0 - 5/9*h**6 + b*h**5 - 20/9*h**3 + 4/3*h