 y.
-2/3, 1
Let s = 3717/2474 + -3/1237. Find v, given that 3/2*v**3 - 1/2*v**2 - s*v + 0 + 1/2*v**4 = 0.
-3, -1, 0, 1
Let f(d) be the third derivative of 0 - 3/16*d**4 + 4*d + 1/2*d**3 - 1/5*d**5 - d**2 - 9/70*d**7 + 5/224*d**8 + 11/40*d**6. Factor f(u).
3*(u - 1)**4*(5*u + 2)/2
Let o(h) be the second derivative of -h**5/150 - h**4/10 - h**3/3 - 13*h**2 - 14*h. Let w(b) be the first derivative of o(b). Factor w(l).
-2*(l + 1)*(l + 5)/5
Suppose 134*w = 4*z + 132*w - 22, 4*w + 29 = 3*z. Let p(a) be the first derivative of 2/3*a**z + 0*a**2 + 9 + 0*a. Find k such that p(k) = 0.
0
What is j in -3/7*j**4 + 3*j**2 + 15/7*j**3 - 18/7 - 15/7*j = 0?
-1, 1, 6
Let p(r) be the third derivative of -r**5/120 - 11*r**4/12 - 121*r**3/3 - 6*r**2. Determine s so that p(s) = 0.
-22
Factor -4/13 - 10/13*l**3 - 18/13*l**2 - 14/13*l - 2/13*l**4.
-2*(l + 1)**3*(l + 2)/13
Suppose -13*h = -9*h. Let i be 4 + (h - 34/9). Factor 0 + 0*v + 2/9*v**3 + i*v**4 - 4/9*v**2.
2*v**2*(v - 1)*(v + 2)/9
Let b(i) = -i**3 + 15*i**2 - 33*i - 25. Let h be b(12). Suppose 5*k**3 - h*k**2 - 12*k**2 - 5*k**2 - 30*k + 3*k**2 = 0. Calculate k.
-1, 0, 6
Let g(t) be the third derivative of -t**5/420 + 2*t**4/21 - 13*t**3/14 - 798*t**2 + 1. Let g(j) = 0. Calculate j.
3, 13
Let u(p) be the second derivative of p**4/4 - 119*p**3/2 + 177*p**2 + 615*p. Factor u(r).
3*(r - 118)*(r - 1)
Let y(a) = -5*a - 42. Let x be y(-14). Let b be (-7)/x + 1/4. Suppose b + 0*m + 1/4*m**2 = 0. What is m?
0
Let h(w) = -w**2 - 11*w + 26. Suppose -5*b - 57 = 4*v, -2*b - 3*b - 75 = -5*v. Let l be h(b). Factor 24/5*x**3 + l*x + 0 - 36/5*x**2 - 4/5*x**4.
-4*x**2*(x - 3)**2/5
Let h(l) be the second derivative of 1/13*l**2 - 1/130*l**5 - 1/78*l**4 + 5*l + 1/39*l**3 + 2. Factor h(x).
-2*(x - 1)*(x + 1)**2/13
Let c(x) be the first derivative of 3*x**4/16 - 117*x**3/4 + 1305*x**2 - 2523*x - 303. Factor c(m).
3*(m - 58)**2*(m - 1)/4
Let y = 20 + -16. Find h such that 8*h**3 + 0*h**4 - 4*h**y - 16*h**2 + 12*h**2 = 0.
0, 1
Let c(i) be the first derivative of 4/3*i**2 - 44/9*i**3 + 1 + 119/15*i**5 + 49/18*i**6 + 0*i + 3/2*i**4. What is g in c(g) = 0?
-2, -1, 0, 2/7
Let i(v) be the first derivative of v**3 - 3*v**2/2 + 52. Factor i(y).
3*y*(y - 1)
Let r(c) be the third derivative of -c**9/20160 - c**8/3360 - c**7/1680 - c**5/2 - 36*c**2. Let d(m) be the third derivative of r(m). Factor d(w).
-3*w*(w + 1)**2
Let n = 3649 + -32839/9. Determine b, given that n*b**4 - 4/9*b**3 + 4/9*b + 0*b**2 - 2/9 = 0.
-1, 1
Let s(a) be the third derivative of 1331*a**7/210 - 9559*a**6/15 - 3498*a**5/5 - 956*a**4/3 - 232*a**3/3 - 190*a**2 + 2*a. Solve s(q) = 0 for q.
-2/11, 58
Let i(d) = d**3 + 19*d**2 - 11*d - 519. Let r be i(-18). Find y, given that 4/5*y**4 - 3/5*y**2 - 1/5 + y - y**r = 0.
-1, 1/4, 1
Let x be (-9)/(-2)*-10*(-11)/660. Factor 3/4*l**2 + x*l + 0.
3*l*(l + 1)/4
Let v(k) = -9*k**3 + 321*k**2 - 345*k + 33. Let w(j) = j**3 - 40*j**2 + 43*j - 4. Let y(l) = -4*v(l) - 33*w(l). Suppose y(s) = 0. What is s?
-13, 0, 1
Let t = 71 - 82. Let g be 6 - t/((-715)/350). Factor -2/13*s**3 + 0 - g*s + 8/13*s**2.
-2*s*(s - 2)**2/13
Let l(f) be the first derivative of -f**7/6300 - f**6/675 - f**3 + 9*f**2/2 + 58. Let t(d) be the third derivative of l(d). Factor t(c).
-2*c**2*(c + 4)/15
Let r(x) = 14*x**3 + 501*x**2 - 15363*x + 14884. Let c(a) = 3*a**3 + 125*a**2 - 3841*a + 3721. Let o(v) = 18*c(v) - 4*r(v). Factor o(f).
-2*(f - 61)**2*(f - 1)
Let x(w) be the first derivative of -4/7*w**5 - 51 - 19/7*w**4 - 136/21*w**3 - 1/21*w**6 - 36/7*w - 57/7*w**2. Let x(a) = 0. Calculate a.
-3, -2, -1
Factor 0 + 9*y**2 + 9/2*y**4 - 57/2*y**3 + 0*y.
3*y**2*(y - 6)*(3*y - 1)/2
Let q(o) = 9*o**4 + 40*o**3 + 94*o**2 + 84*o + 25. Let z = 29 - 33. Let c(n) = n**4 + n**2 + n. Let k(a) = z*c(a) + q(a). Determine h so that k(h) = 0.
-5, -1
Suppose -26*x = -24*x + 3*l + 15, l = -2*x - 5. Factor x + j + 1/3*j**2.
j*(j + 3)/3
Let r(z) be the second derivative of 0 - 3*z + 5/12*z**4 + 20/3*z**3 + 40*z**2. Find a, given that r(a) = 0.
-4
Let l(j) be the second derivative of -1/63*j**7 - 4/45*j**3 + 0*j**2 + 3/50*j**5 - 4/45*j**4 + 0 + 24*j + 8/225*j**6. Solve l(a) = 0.
-1, -2/5, 0, 1, 2
Let w(v) be the first derivative of -v**6/42 - 2*v**5/7 - 29*v**4/28 - 20*v**3/21 + 37. Find l such that w(l) = 0.
-5, -4, -1, 0
Let w = -4954 + 44590/9. Factor -2/3 + w*n + 2/9*n**2.
2*(n - 1)*(n + 3)/9
Let m(l) be the second derivative of -3*l**5/8 + l**4/2 + l**3/4 - 2*l + 5. Determine z so that m(z) = 0.
-1/5, 0, 1
Let o(s) be the first derivative of -5*s**2 + 2*s - 2 - 1/2*s**4 + 17/6*s**3. What is b in o(b) = 0?
1/4, 2
Let x(l) be the first derivative of 5/4*l**2 + 5/6*l**3 - 5/8*l**4 - 5/2*l - 5. Factor x(c).
-5*(c - 1)**2*(c + 1)/2
Let a(v) be the second derivative of -3*v + 0*v**3 - 1/231*v**7 + 0*v**4 + 1/165*v**6 + 0*v**2 + 1/55*v**5 + 0. Factor a(g).
-2*g**3*(g - 2)*(g + 1)/11
Suppose t - 4 = 5. Let y be (t/6)/(165/20). Factor y*n**2 + 0 - 6/11*n.
2*n*(n - 3)/11
Determine o so that 8/5*o**4 - 4/5*o**3 + 8/5 - 16/5*o**2 + 2/5*o**5 + 2/5*o = 0.
-4, -1, 1
Let o(x) = -x**3 - x + 2. Let i = -15 - -11. Let n(s) = -s**3 + 1. Let a(c) = i*n(c) + 3*o(c). Solve a(p) = 0 for p.
-2, 1
Let v(h) be the second derivative of h**7/210 + 4*h**6/25 + 47*h**5/25 + 111*h**4/10 + 369*h**3/10 + 351*h**2/5 - h. Factor v(l).
(l + 2)*(l + 3)**3*(l + 13)/5
Suppose 0*s + 16*s = -7*s. Factor 3*i**2 - 1/4*i**5 + s + 3/2*i**4 - 13/4*i**3 - i.
-i*(i - 2)**2*(i - 1)**2/4
Let t(k) be the first derivative of k**6/600 + k**5/50 - 4*k**3 - 11. Let j(w) be the third derivative of t(w). Factor j(h).
3*h*(h + 4)/5
Let s(r) be the third derivative of -1/6*r**4 + 2/15*r**5 + 1/30*r**6 + 0 - 6*r**2 + 0*r - 4/3*r**3. Solve s(b) = 0.
-2, -1, 1
Determine o so that -16*o**3 + 136/3*o**2 - 6 - 28*o = 0.
-1/6, 3/2
Let b(m) be the first derivative of m**6/30 + 2*m**5/15 - m**4/6 - 4*m**3/3 - m**2 + 7. Let j(f) be the second derivative of b(f). Solve j(l) = 0 for l.
-2, -1, 1
Let p be 2 + -4 + (-16)/(-4) + 0. Factor -14 + 2*m**2 + 7*m**2 + 4*m - 11*m**p + 12*m.
-2*(m - 7)*(m - 1)
Let v(m) be the first derivative of 2*m**5/45 + m**4/18 - 10*m**3/27 + m**2/3 - 73. Let v(l) = 0. Calculate l.
-3, 0, 1
Let v(i) = i**3 + 7*i**2 + 11*i + 6. Let s be v(-2). Let d be 6/(-3) + (-32)/(-14). Determine h, given that 0*h + 2/7*h**s + 0 + 0*h**2 - d*h**3 = 0.
0, 1
Let l = 46/15 + -8/3. Suppose -7*b - 4*g + 35 = -2*b, 2*b = g + 1. Suppose l*x**4 - 4/5*x**2 + 0*x + 2/5 + 0*x**b = 0. What is x?
-1, 1
Suppose 0 = -5*k + 7*k - 4. Suppose -5*x = -k*x. Factor 4/3*d**2 - 8/3*d**3 + 0 + 4/3*d**4 + x*d.
4*d**2*(d - 1)**2/3
Let k be 18/12*(-12)/(-9). Suppose 0 + 1/5*x + 1/5*x**k = 0. Calculate x.
-1, 0
Let m = -36167 - -36170. Determine q so that -2/17*q**4 + 4/17*q**2 - 2/17*q - 2/17*q**5 + 4/17*q**m - 2/17 = 0.
-1, 1
Let g(m) be the first derivative of -m**5/15 + m**4 - 52*m**3/9 + 16*m**2 - 64*m/3 - 222. Factor g(y).
-(y - 4)**2*(y - 2)**2/3
Let l be 2/36 - 3/(-18). Let a(q) be the first derivative of -l*q**3 + 2/15*q**5 + 0*q**2 + 0*q**4 - 5 + 0*q. Determine t, given that a(t) = 0.
-1, 0, 1
Solve 1/2*f**2 - 15/2*f - 8 = 0.
-1, 16
Let m be -5*4/(-50) + 0/24. Factor m*t**4 - 2/5*t**2 + 4/5*t**3 - 4/5*t + 0.
2*t*(t - 1)*(t + 1)*(t + 2)/5
Let o(h) be the first derivative of -h**7/2520 - h**6/1080 + h**5/180 - 14*h**3/3 + 44. Let u(f) be the third derivative of o(f). Solve u(k) = 0 for k.
-2, 0, 1
Let g(r) be the first derivative of 7/72*r**4 + 0*r + 2*r**2 - 7/360*r**6 - 1/90*r**5 + 1/9*r**3 + 3. Let w(a) be the second derivative of g(a). Factor w(p).
-(p - 1)*(p + 1)*(7*p + 2)/3
Let p(b) be the third derivative of 0*b + 1/20*b**5 - 3/8*b**4 + 7*b**2 + 0 + b**3. Find q such that p(q) = 0.
1, 2
Suppose 3*u = -5*n + 2*n - 9, 2*n = 4*u - 18. Factor 656 + 44*z**u + 27*z**5 + 8*z + 81*z**4 - 656 + 90*z**3.
z*(z + 1)*(3*z + 2)**3
What is a in 2/17*a**4 - 26/17*a**2 + 0 + 14/17*a + 10/17*a**3 = 0?
-7, 0, 1
Let f be 8*(9/(-24))/(6/(-8)). Let p(i) be the first derivative of 1/16*i**f + 0*i - 1/12*i**3 + 1/20*i**5 - 1/8*i**2 - 7. Determine v, given that p(v) = 0.
-1, 0, 1
Let m(z) = -z**2 + 8*z + 3. Let l(v) = -6*v**2 + 40*v + 14. Suppose 0 = -0*d - 4*d - 12. Let g(h) = d*l(h) + 16*m(h). Suppose g(r) = 0. Calculate r.
-3, -1
Suppose -6*z - 3/8*z**2 - 189/8 = 0. Cal