 6*r - 52/5 = 0. Calculate r.
-13, -2
Let j(c) be the first derivative of 2*c**3/3 - 33*c**2/2 + 16*c - 128. Factor j(s).
(s - 16)*(2*s - 1)
Factor 2/5 + 1/5*z - 1/5*z**3 - 2/5*z**2.
-(z - 1)*(z + 1)*(z + 2)/5
Let m(y) = y**3 + y**2 + 34*y + 2. Let r be m(0). Factor 8/7 - 2/7*k**r - 2/7*k**3 + 8/7*k.
-2*(k - 2)*(k + 1)*(k + 2)/7
Let g(f) be the second derivative of -19*f**7/336 - f**6/72 - 17*f**3/6 + 22*f. Let m(y) be the second derivative of g(y). Determine l so that m(l) = 0.
-2/19, 0
What is k in 4/9 - 8/9*k**3 - 22/9*k + 26/9*k**2 = 0?
1/4, 1, 2
Let v = -2005 - -14043/7. What is w in 0 - 4/7*w**3 - v*w**2 + 0*w = 0?
-2, 0
Suppose 187*u - 59*u = 384. Factor 0*g - 1/3*g**4 + 0 - g**2 + 4/3*g**u.
-g**2*(g - 3)*(g - 1)/3
Let j(x) be the third derivative of 4*x**6/15 + 23*x**5/15 + 13*x**4/6 - 4*x**3/3 + 19*x**2 - 2*x. Find l such that j(l) = 0.
-2, -1, 1/8
Let p be ((0 + -12)*-1)/(120/(210/7)). Suppose 0 + 4/5*y**4 - 12/5*y**p + 8/5*y**2 + 0*y = 0. What is y?
0, 1, 2
Let q(j) = 13*j + 3 - 2*j**2 + 0*j + 7. Let b be q(7). Factor -v**2 + 3 - 3*v**3 + 2*v**2 + 8*v**b - 6*v**3 + 5*v.
-(v - 3)*(v + 1)**2
Let q(k) = 13*k**4 + 32*k**3 + 36*k**2 + 19*k - 7. Let l(s) = s**3 + s**2 + 1. Let i = 21 - 17. Let o(d) = i*q(d) + 36*l(d). Factor o(t).
4*(t + 1)**3*(13*t + 2)
Suppose -4*b + 948 = 4*x, 0*b - 2*b = -3*x - 479. Factor -15*l**2 + 5*l**3 - 8*l - b + 233 + 23*l.
5*(l - 1)**3
Let t = -6 - -9. Let s = t + -1. Determine i, given that 15*i**4 - 2*i**s + 6 - 4*i - 12*i**2 - 7*i**2 + 9*i**3 - 5*i = 0.
-1, 2/5, 1
Let m(c) be the second derivative of -4*c + 3*c**2 - 2/3*c**3 + 1/18*c**4 + 0. Factor m(l).
2*(l - 3)**2/3
Let v(f) be the first derivative of f**6/360 + f**5/120 - 3*f**2 - 4. Let l(m) be the second derivative of v(m). Determine c, given that l(c) = 0.
-3/2, 0
Factor 32/5*x + 8/5*x**2 - 128/5 - 2/5*x**3.
-2*(x - 4)**2*(x + 4)/5
Let b(j) = -7*j - 4. Let k be b(-2). Solve -3*t**3 - k*t**2 - 2*t**4 - 2*t**2 - 5*t**3 - 8*t - 2 = 0 for t.
-1
Let u(i) be the first derivative of -3*i**4/4 + 5*i**3 - 6*i**2 - 3. Find r, given that u(r) = 0.
0, 1, 4
Let v(a) be the second derivative of -a**4/30 + 111*a. Factor v(g).
-2*g**2/5
Suppose -2*r + 2*k - 8 = -18, -16 = -2*r + 4*k. Factor -2/3*i - 1/3 - 1/3*i**r.
-(i + 1)**2/3
Let u(v) be the third derivative of v**8/384 - 11*v**7/560 + 23*v**6/480 - v**5/40 - v**4/24 - 9*v**2. Determine o, given that u(o) = 0.
-2/7, 0, 1, 2
Let o(a) be the second derivative of a**5/4 - 11*a**4/4 + 21*a**3/2 - 27*a**2/2 - 134*a. Solve o(g) = 0.
3/5, 3
Factor -4/3 + k**2 - 11/3*k.
(k - 4)*(3*k + 1)/3
Let o = -573 + 4014/7. Let l be ((-3)/(-2))/(42/8). Factor o*j + 3/7*j**2 - j**3 - l + 3/7*j**4.
(j - 1)**3*(3*j + 2)/7
Let l = -3 - -6. Let z be 16/240*-3*(105/(-4))/3. Factor z*t + 2*t**2 + 1/2 + 3/4*t**l.
(t + 1)**2*(3*t + 2)/4
Let u = -24 + -13. Let v = 58 + u. What is w in w**2 - 19*w - 3*w**2 + v*w = 0?
0, 1
Let s(r) be the second derivative of -r**8/216 + r**7/105 - r**6/270 - 10*r**2 - 21*r. Let n(b) be the first derivative of s(b). Factor n(p).
-2*p**3*(p - 1)*(7*p - 2)/9
Let w(m) = 5*m**3 + 791*m**2 + 163*m + 792. Let s be w(-158). Suppose -48/7*j**s + 12/7*j**4 + 18/7*j - 22/7*j**3 + 0 = 0. What is j?
-3/2, 0, 1/3, 3
Let g(h) be the first derivative of 2*h**3/3 - 6*h**2 + 18*h + 90. Solve g(z) = 0.
3
Let g(x) be the first derivative of -2*x**3/21 - 29*x**2/7 + 126. Factor g(j).
-2*j*(j + 29)/7
Let w(a) = -15*a**3 + 134*a**2 - 263*a + 160. Let v(m) = -5*m**3 + 44*m**2 - 88*m + 55. Let q(k) = -8*v(k) + 3*w(k). What is z in q(z) = 0?
1, 8
Suppose -9*m - 13*m = -616. Let b be (m/(-98))/(((-16)/14)/2). Find u such that b*u**4 + 0 + 0*u**2 + 0*u - 1/2*u**5 + u**3 = 0.
-1, 0, 2
Let m(w) be the first derivative of 5/12*w**2 - w + 27 + 1/18*w**3. Find k such that m(k) = 0.
-6, 1
Suppose 32*n = 30*n. Suppose n = -4*y - 0*y + 8. Find l, given that 21*l**3 + 3*l**2 - 5*l**4 - 3*l - 18*l**3 + y*l**4 = 0.
-1, 0, 1
Find k such that -44*k**2 + 18 + 18*k + 3*k**5 - 14*k**3 + 5*k**4 + 5*k + 21*k**4 - 12*k = 0.
-9, -1, -2/3, 1
Let r = 61 + -41. Factor -45*o**2 + 34*o**3 - 10*o + 5*o**4 - 21*o**3 - 45*o - 18*o**3 - r.
5*(o - 4)*(o + 1)**3
Factor 3/2*v**2 - 3/2*v + 1/2 - 1/2*v**3.
-(v - 1)**3/2
Let v(a) be the third derivative of -a**7/504 - a**6/216 + a**5/72 + 5*a**4/72 + 5*a**3/2 - 8*a**2. Let l(q) be the first derivative of v(q). Factor l(s).
-5*(s - 1)*(s + 1)**2/3
Let s(z) = -3*z**5 - 3*z**4 - 3*z**3 - 3. Let g(n) = -n**4 - n**3 - 1. Let v(b) = b - 3. Let i be v(0). Let c(l) = i*g(l) + s(l). Solve c(r) = 0 for r.
0
Suppose 38*b - 167*b = 134*b. Let -1/10*h**2 + 0 + b*h = 0. What is h?
0
Let h be 32/(-64)*(-2)/7. Let m be (42/15 - 3) + (-36)/(-105). Factor 1/7*t**3 - 1/7 - h*t + m*t**2.
(t - 1)*(t + 1)**2/7
Let l(f) be the first derivative of 5*f**4/4 - 10*f**3/3 - 15*f**2/2 - 128. Find n such that l(n) = 0.
-1, 0, 3
Let v(o) = -7*o**2 + o - 1. Let f(x) = -36*x**2 + 27*x + 3. Let j(a) = -f(a) - 3*v(a). Factor j(r).
3*r*(19*r - 10)
Let i(a) be the third derivative of a**6/120 - a**5/36 + a**4/72 - 7*a**3/3 - 26*a**2. Let r(w) be the first derivative of i(w). Factor r(q).
(q - 1)*(9*q - 1)/3
Let q = 10291/10 - 1029. Let m(l) be the second derivative of 0 + 1/6*l**4 - 14*l - 2/3*l**3 + q*l**5 + 0*l**2. Factor m(c).
2*c*(c - 1)*(c + 2)
Suppose -36*u - 8 = -8. Let a(w) be the third derivative of 0 - 1/120*w**6 + 1/8*w**4 + u*w - 5*w**2 + 0*w**5 + 1/3*w**3. Solve a(n) = 0 for n.
-1, 2
Let y be (2/(-150) - (-3)/9)/(106/265). Let y + 2/5*p - 2/5*p**2 = 0. Calculate p.
-1, 2
Let b be (-1*(-1)/(-2))/((-3)/(-12)). Let y be b + (-116)/28*-1. Factor 3/7*w**5 - 9/7*w**3 - 6/7*w - 3/7*w**4 + y*w**2 + 0.
3*w*(w - 1)**3*(w + 2)/7
Let m = -26 + 31. Find p such that 0*p**5 + 0 + 12*p**m - 4*p**4 + 0 = 0.
0, 1/3
Let w(v) be the first derivative of -5*v**4/8 - 55*v**3/2 + 5*v**2/4 + 165*v/2 + 329. Factor w(u).
-5*(u - 1)*(u + 1)*(u + 33)/2
Suppose -u**3 + 12*u**2 + 907*u + 4 + 5*u**3 - 895*u = 0. Calculate u.
-1
Let i(a) be the third derivative of -a**6/30 + 37*a**5/15 - 140*a**4/3 - 800*a**3 - 267*a**2. Factor i(o).
-4*(o - 20)**2*(o + 3)
Let b(x) be the first derivative of -2/3*x - 29 + 8/9*x**3 + 1/4*x**4 + 1/2*x**2. Factor b(n).
(n + 1)*(n + 2)*(3*n - 1)/3
Let b(j) be the third derivative of 2*j**7/315 + 41*j**6/30 + 427*j**5/5 + 3721*j**4/18 + 466*j**2. Factor b(l).
4*l*(l + 1)*(l + 61)**2/3
Let a(z) be the third derivative of z**5/90 + 17*z**4/36 + 8*z**3 + 671*z**2. Factor a(q).
2*(q + 8)*(q + 9)/3
Factor -5*p**4 + 17*p**3 + 53*p**3 + 10 - 85*p**2 - 13 + 170*p - 95*p**2 - 52.
-5*(p - 11)*(p - 1)**3
Let u(h) be the first derivative of h**5 - 5*h**4 - 55*h**3/3 - 15*h**2 - 152. Factor u(d).
5*d*(d - 6)*(d + 1)**2
Let g(u) be the first derivative of -2*u**3/3 - 6*u**2 + 32*u - 587. Factor g(d).
-2*(d - 2)*(d + 8)
Let n(m) be the third derivative of -m**7/1680 + m**5/20 + 11*m**4/24 - 2*m**2. Let s(p) be the second derivative of n(p). Solve s(x) = 0 for x.
-2, 2
Let k be (2 - 15/10)/((-2)/140). Let a be ((-5)/k*-48)/(-2). Determine c, given that a*c - 4/7 - 32/7*c**2 = 0.
1/4, 1/2
Suppose -5 + 1 = -2*o. Suppose -q = -o*q + 2. Factor 2/9*i + 4/9 - 4/9*i**q - 2/9*i**3.
-2*(i - 1)*(i + 1)*(i + 2)/9
Let o(v) = 4*v**2 + 7*v - 28. Let t(l) = -3*l**2 - 6*l + 28. Let u(z) = -2*o(z) - 3*t(z). Let y be u(4). Factor -2/9*p + 2/9*p**3 + 0 - 2/9*p**2 + 2/9*p**y.
2*p*(p - 1)*(p + 1)**2/9
Let c(u) = 11*u**4 + 10*u**3 - 15*u**2 - 20*u + 32. Let b(s) = 10*s**4 + 10*s**3 - 15*s**2 - 20*s + 30. Let q(i) = 6*b(i) - 5*c(i). Let q(n) = 0. What is n?
-2, 1
Let g(t) be the second derivative of -t**6/10 - 3*t**5/2 - 8*t**4 - 16*t**3 + 2*t + 57. Factor g(a).
-3*a*(a + 2)*(a + 4)**2
Let a(o) be the second derivative of o**5/50 + 23*o**4/30 + 37*o**3/5 + 153*o**2/5 - 80*o - 1. Suppose a(b) = 0. What is b?
-17, -3
Let i be (0/((-13)/(65/10)))/(-1). Let s(v) be the third derivative of 0*v + 0*v**4 - 1/40*v**6 + 2*v**2 + 1/70*v**7 + 0*v**3 + i*v**5 + 0. Solve s(u) = 0.
0, 1
Let m(t) = 56*t**2 - 96*t + 46. Let b(o) be the first derivative of -11*o**3/3 + 19*o**2/2 - 9*o + 25. Let x(a) = -16*b(a) - 3*m(a). Solve x(i) = 0.
1/2, 3/2
Suppose -4 = -h + 6. Suppose 3*s = -4*j + h, -3*j - 5*s = -2*s - 6. Find t such that -2*t**j + 26*t - 12*t**4 - 54*t**2 + 0 + 46*t**3 - 4 = 0.
2/7, 1
Let y(q