4 + 368/5*w**2 + 192*w + 160 + 48/5*w**3.
2*(w + 2)**2*(w + 10)**2/5
Let b = -4703 - -4703. Factor b + 12/7*k - 2/7*k**2.
-2*k*(k - 6)/7
Let m(w) be the first derivative of -4*w**3/9 - 212*w**2/3 - 11236*w/3 - 75. Factor m(b).
-4*(b + 53)**2/3
Let i(j) be the first derivative of j**4/8 - j**3/3 - j**2 + 4*j - 88. Suppose i(x) = 0. What is x?
-2, 2
Let t(b) be the first derivative of b**5/160 - 3*b**4/32 - 7*b**3/16 - 10*b**2 + 4. Let k(x) be the second derivative of t(x). Factor k(a).
3*(a - 7)*(a + 1)/8
Let r(i) be the first derivative of -i**5/60 + i**4/18 + 7*i**3/18 + 2*i**2/3 + 26*i - 27. Let d(x) be the first derivative of r(x). Let d(j) = 0. What is j?
-1, 4
Suppose 1/9*b**3 - 4*b + 32/9 + 1/3*b**2 = 0. What is b?
-8, 1, 4
Let g(w) be the third derivative of -w**9/1260 - w**8/320 + w**7/420 - 7*w**4/8 - 19*w**2. Let i(z) be the second derivative of g(z). Factor i(c).
-3*c**2*(c + 2)*(4*c - 1)
Factor -9 - i - 10 + 28 + i**2 + 7*i - 4.
(i + 1)*(i + 5)
Determine o so that 0 + 0*o + 0*o**2 + 2/11*o**4 - 8*o**3 = 0.
0, 44
Suppose 3*a - 10 = q, 5*a = -4*q - 58 + 18. Let u = 13 + q. Factor -14*x - x**u + 3*x**3 + 13*x - x**5.
-x*(x - 1)**2*(x + 1)**2
Let h(k) be the first derivative of -7*k**5/10 - 9*k**4 + 19*k**3/2 + 11*k**2/2 - 3. Determine v so that h(v) = 0.
-11, -2/7, 0, 1
Let a be (10/(-6))/(3 - 20/6). Let b(f) be the first derivative of 0*f**2 + 2/55*f**a + 1/33*f**6 + 0*f + 0*f**4 + 0*f**3 - 2. Factor b(y).
2*y**4*(y + 1)/11
Let j(h) = -4*h**5 + 14*h**4 + 18*h**3 + 14*h**2 + 8*h + 6. Let k(x) = 3*x**5 - 13*x**4 - 17*x**3 - 13*x**2 - 7*x - 5. Let r(d) = -5*j(d) - 6*k(d). Factor r(f).
2*f*(f + 1)**4
Let w(n) be the first derivative of n**6/180 - n**5/15 + 14*n**3/3 - 18. Let i(o) be the third derivative of w(o). Factor i(r).
2*r*(r - 4)
Let k(b) be the third derivative of 0*b**3 + 0*b + 0 + 1/1260*b**7 - 1/180*b**6 + 1/120*b**5 + 0*b**4 + 7*b**2. Determine y so that k(y) = 0.
0, 1, 3
Let c(t) be the second derivative of -t**4/36 + 49*t**2/6 - 305*t. Find x, given that c(x) = 0.
-7, 7
Let o(n) be the first derivative of -3 + 0*n**3 + n**2 + 1/24*n**4 - 1/120*n**6 + 0*n + 0*n**5. Let g(h) be the second derivative of o(h). Factor g(j).
-j*(j - 1)*(j + 1)
Suppose -w = -2*w - 36. Let j be (-4)/18 + (-35)/w. Suppose 0 - 3/4*u**2 + 3/4*u**4 + 3/2*u + j*u**5 - 9/4*u**3 = 0. What is u?
-2, -1, 0, 1
Let w(i) = -i**3 - 78*i**2 - 335*i - 445. Let l(g) = g**3 + 39*g**2 + 167*g + 223. Let u(f) = -5*l(f) - 2*w(f). Determine v so that u(v) = 0.
-5, -3
Let n(c) be the third derivative of c**8/5040 - c**7/315 + c**6/60 - 13*c**5/30 - 24*c**2. Let y(l) be the third derivative of n(l). Let y(a) = 0. Calculate a.
1, 3
Let s(m) = 4*m + 60. Let l be s(-14). Let h(u) be the first derivative of -4/33*u**3 + 1/22*u**l + 0*u**2 + 0*u + 2. Factor h(b).
2*b**2*(b - 2)/11
Determine v so that -1/3*v**2 + 5 + 2/3*v = 0.
-3, 5
Factor -205*o + 637*o + 432 + 3194*o**4 - 3193*o**4 + 20*o**3 + 144*o**2.
(o + 2)*(o + 6)**3
Let j(t) be the first derivative of 8/5*t**3 - 11/5*t**2 - 8/25*t**5 + 7 + 1/10*t**4 + 4/5*t. Suppose j(n) = 0. Calculate n.
-2, 1/4, 1
Let r(q) = -3*q**2 + 37*q + 74. Let w be r(14). Let h(a) be the second derivative of -1/18*a**w + 2/3*a**2 + 0 - 6*a + 1/9*a**3. Solve h(s) = 0 for s.
-1, 2
Let q(j) = -5*j**2 + 3*j**3 - 9*j + 4 + 10*j - 3*j**2. Let u(g) = 6*g**3 - 16*g**2 + g + 9. Let z(w) = 5*q(w) - 2*u(w). Solve z(p) = 0 for p.
-1/3, 1, 2
Let f(q) = 55*q**3 - 650*q**2 - 660*q + 90. Let t(p) = -5*p**3 + 59*p**2 + 60*p - 8. Let g(a) = 4*f(a) + 45*t(a). What is s in g(s) = 0?
-1, 0, 12
Let k(z) be the first derivative of -108*z**5/35 - 345*z**4/28 - 89*z**3/7 - 3*z**2/7 + 24*z/7 + 334. Let k(a) = 0. What is a?
-2, -1, -4/9, 1/4
Let t(y) be the third derivative of 2*y**7/105 - 2*y**5/15 + 2*y**3/3 - 14*y**2 - 2*y. Factor t(l).
4*(l - 1)**2*(l + 1)**2
Suppose 3*c - 8 = 4. Factor -r**3 - 4*r**c - 13*r**5 + 9*r**5 - r**4.
-r**3*(r + 1)*(4*r + 1)
Let d(i) = -4*i - 30. Let u be d(-9). Factor -81*z**2 - 2 - z**3 + u*z + 75*z**2 + 3*z**3.
2*(z - 1)**3
Let q be ((-6561)/972)/(6/(-4)). Factor 75/2*i**5 - q*i - 27/2 - 135/2*i**4 + 57*i**2 - 9*i**3.
3*(i - 1)**3*(5*i + 3)**2/2
Let b(x) = x**3 + 8*x**2 - 10*x - 9. Let r = -10 - -1. Let g be b(r). Solve 0 + 1/4*w**3 + 1/4*w**2 + g*w = 0 for w.
-1, 0
Let o(q) = q**5 + 5*q**4 + 10*q**3 - 3*q**2. Let t(z) = z**5 + 4*z**4 + 11*z**3 - 4*z**2. Let d(m) = 4*o(m) - 3*t(m). Find b such that d(b) = 0.
-7, -1, 0
Let p(c) be the first derivative of 5*c**8/336 - c**6/8 - c**5/6 + 49*c**2/2 - 45. Let i(q) be the second derivative of p(q). Factor i(m).
5*m**2*(m - 2)*(m + 1)**2
Let x = 13007/7 + -1855. Factor x*z**3 + 0 - 4/7*z + 18/7*z**2.
2*z*(z + 1)*(11*z - 2)/7
Let y(t) be the third derivative of t**8/1512 + 8*t**7/945 + t**6/108 - 5*t**5/27 + 355*t**2. Let y(x) = 0. Calculate x.
-5, 0, 2
Factor -465*l**2 + 37 + 461*l**2 - 1.
-4*(l - 3)*(l + 3)
Suppose -9331*w = -9288*w. Factor 3/4*z**4 - 3/2*z - 9/4*z**2 + 0*z**3 + w.
3*z*(z - 2)*(z + 1)**2/4
Let w(t) be the first derivative of 6 - 2*t**2 - 1/3*t**3 - 4*t. Determine k so that w(k) = 0.
-2
Let w be 2*1/7 - 458/(-14). Let h(n) = 5*n**2 + 41*n + 34. Let b(x) = x**2 + 8*x + 7. Let s(i) = w*b(i) - 6*h(i). What is g in s(g) = 0?
-3
Let d(h) = 7*h**2 - 2*h. Let i(o) be the second derivative of 0 + 2/3*o**4 - 10*o + 0*o**2 - 1/3*o**3. Let n(c) = 7*d(c) - 6*i(c). What is r in n(r) = 0?
0, 2
Let q(i) = -212*i**2 + i - 1. Let x be q(-1). Let l = x + 214. Solve 1/6*p**4 + 0 + 1/3*p**3 + l*p**2 + 0*p = 0 for p.
-2, 0
Let k be 7 - -6*(-4)/8. Let y(o) = -o**3 + 6*o**2 - 5. Let z be y(k). Let z + 17*g + 3*g**2 + g + 0*g**2 = 0. What is g?
-3
Find f such that 21/2*f - 1/2*f**3 - 9 - f**2 = 0.
-6, 1, 3
Let y = -10055/3 - -3413. Let z = y + -1270/21. Find t, given that 4/7 + z*t**2 - 10/7*t = 0.
2/3, 1
Let m(x) be the second derivative of -x**8/6720 + x**7/1260 + x**6/720 - x**5/60 - 5*x**4/6 + 18*x. Let k(a) be the third derivative of m(a). Factor k(b).
-(b - 2)*(b - 1)*(b + 1)
Let t(z) = 270*z**3 + 251*z**2 - 520*z + 104. Let f(p) = -540*p**3 - 503*p**2 + 1040*p - 207. Let s(u) = -4*f(u) - 7*t(u). Solve s(a) = 0 for a.
-2, 2/9, 5/6
Suppose -2*s - 7/4*s**2 + 4 - 1/4*s**3 = 0. What is s?
-4, 1
Let b = -2101 - -2104. Determine x so that 44/5*x**2 + 48/5*x + 2/5*x**4 + 18/5 + 16/5*x**b = 0.
-3, -1
Suppose -p - 2*y = -17, 5*p - 2*y + 60 = 169. Let k be (7/p)/(1*(-1)/(-12)). Let 0*b + 0*b**3 + 0 + 2/7*b**k - 2/7*b**2 = 0. Calculate b.
-1, 0, 1
Let k(g) be the first derivative of 2*g**6 + 24*g**4 + 24*g - 64/5*g**5 - 22*g**2 + 8 - 8*g**3. Factor k(t).
4*(t - 3)*(t - 1)**3*(3*t + 2)
Factor 1/3*g**3 + 0 - 2/3*g**2 + 0*g.
g**2*(g - 2)/3
Let r be 90/27 + (-1 - 2). Let p(y) be the second derivative of -5*y - 2*y**2 + r*y**3 + 0 + 1/6*y**4. Factor p(u).
2*(u - 1)*(u + 2)
Let l(b) be the second derivative of -b**7/105 - 3*b**6/80 - b**5/60 - 11*b**2/2 - 4*b. Let r(i) be the first derivative of l(i). Let r(o) = 0. What is o?
-2, -1/4, 0
Let s(u) = -2*u**3 - u**2 + 1. Let x(h) = -h**5 + 18*h**3 + 7*h**2 - 7. Let l(n) = 21*s(n) + 3*x(n). Determine w so that l(w) = 0.
-2, 0, 2
Factor -2/21*d**3 + 6/7*d + 2/7*d**2 + 10/21.
-2*(d - 5)*(d + 1)**2/21
Let n be (-1)/5 - 0 - (-231)/55. Suppose 0 = n*k - 5 - 3. Factor -3/7*c + 0 + 9/7*c**k.
3*c*(3*c - 1)/7
Let s(f) = f**3 - 3*f**2 + f + 2. Let t be s(2). Suppose 6*k - 8*k + 28 = t. Let 12*q**2 - 6*q**4 - 2 + k*q**3 + 6 - 4 = 0. Calculate q.
-2/3, 0, 3
Suppose 7*x = 2*x - 220. Let p = 47 + x. Find a such that -9/5*a**3 + p*a**4 + 0*a + 0 - 6/5*a**2 = 0.
-2/5, 0, 1
Suppose -334 + 379 = 15*n. Let m(d) be the first derivative of -d**4 + 8/3*d**n + 9 + 0*d - 2*d**2. Factor m(y).
-4*y*(y - 1)**2
Let l(m) be the third derivative of -11*m**6/360 + m**5/9 + 37*m**4/72 + m**3/3 + 327*m**2. Factor l(g).
-(g - 3)*(g + 1)*(11*g + 2)/3
Let c(r) be the second derivative of -6/5*r**5 - 8/3*r**4 - 2*r**3 + 0*r**6 + 29*r + 0*r**2 + 0 + 2/21*r**7. Factor c(n).
4*n*(n - 3)*(n + 1)**3
What is i in -3/4*i**3 + 0*i + 3/4*i**5 - 3/2*i**2 + 0 + 3/2*i**4 = 0?
-2, -1, 0, 1
Let t(a) be the second derivative of a**6/30 - 3*a**5/10 + a**4 - 5*a**3/3 + 3*a**2/2 - 10*a - 2. Factor t(g).
(g - 3)*(g - 1)**3
Suppose -4*t = -4*z + 370 - 330, -t = -4*z + 16. Let 1/3*p**4 + 5/3*p**3 + 4/3*p + 8/3*p**z +