 Calculate v.
-12, 0, 2
Let f(u) be the first derivative of 25/4*u**4 - 12 + 20*u**3 + 45/2*u**2 + 10*u. Let f(l) = 0. What is l?
-1, -2/5
Suppose -16 = 3*x - 5*d - 42, 0 = 2*d + 8. Find v such that -80 - 3*v**x - 23*v - 28 - 13*v = 0.
-6
Let l(c) be the first derivative of c**5/60 - c**4/36 - c**3/18 + c**2/6 - 5*c - 22. Let p(q) be the first derivative of l(q). Suppose p(f) = 0. Calculate f.
-1, 1
Let t(x) be the second derivative of 1/108*x**4 + 21*x - 1/27*x**3 + 0 + 0*x**2 - 1/270*x**6 + 1/90*x**5. Factor t(k).
-k*(k - 2)*(k - 1)*(k + 1)/9
Let q(l) be the second derivative of -3/20*l**5 - 1/12*l**4 + 1/42*l**7 + 0*l**2 + 1/30*l**6 + 0 + 8*l + 1/3*l**3. Let q(f) = 0. Calculate f.
-2, -1, 0, 1
Let m(u) = 10*u**2 + 150*u + 10. Let f be m(-15). Let w(z) be the first derivative of 1/3*z**2 - f - 1/3*z - 1/9*z**3. Factor w(b).
-(b - 1)**2/3
Let y be 0 + 3/(3/5). Suppose w - t - 1 = 1, y*w + 5*t - 40 = 0. Factor 2 + 2*x**2 - 6*x**2 - 4*x**3 - 3*x + 2*x**4 + 2*x**5 + w*x.
2*(x - 1)**2*(x + 1)**3
Let s = 54 - 49. Let n(y) be the second derivative of -y**2 - 3*y - 4*y**3 - 32/5*y**s - 8*y**4 + 0. Suppose n(h) = 0. Calculate h.
-1/4
What is j in 0 + 3/2*j + 15*j**3 + 9/4*j**4 + 37/4*j**2 = 0?
-6, -1/3, 0
Suppose 3 = y + 1. Factor 58*f**2 - 60*f**2 + 4*f + 4*f**4 - f**5 - y - 4*f**3 + f.
-(f - 2)*(f - 1)**3*(f + 1)
Let c be 46/8 - (14 + -7 - 5). Factor 9/2 + c*d + 3/4*d**2.
3*(d + 2)*(d + 3)/4
Let s(m) = -14*m**3 - 12*m + 17. Let g(a) = -5*a**3 - 4*a + 6. Let t(r) = -8*g(r) + 3*s(r). Let o(h) = h**3 + h - 1. Let j(f) = -6*o(f) - 2*t(f). Factor j(d).
-2*d*(d - 1)*(d + 1)
Let v be (-7)/(-4) + (-2 - (-27)/12). Factor -15*n**2 + n - 17*n**2 + 31*n**v.
-n*(n - 1)
Let d = 519 + -519. Let t(l) be the third derivative of -1/12*l**4 + 0*l + 1/210*l**7 - 1/336*l**8 - 1/60*l**5 + d*l**3 + 1/40*l**6 - 3*l**2 + 0. Factor t(a).
-a*(a - 2)*(a - 1)*(a + 1)**2
Let z(n) be the first derivative of -2*n**5/15 - 137*n**4/6 - 90*n**3 - 403*n**2/3 - 268*n/3 + 66. Factor z(q).
-2*(q + 1)**3*(q + 134)/3
Let i(j) be the first derivative of -j**4/3 + 16*j**3/9 - 2*j**2 - 283. Find t, given that i(t) = 0.
0, 1, 3
Let r = 760 + -757. Let f(h) be the second derivative of 0 - 4/15*h**2 - 1/90*h**4 - 7*h - 4/45*h**r. Let f(k) = 0. Calculate k.
-2
Let v(i) be the first derivative of -4*i**3/9 - 25*i**2/3 - 8*i + 126. Solve v(p) = 0 for p.
-12, -1/2
Let h(u) be the third derivative of u**8/112 - u**7/35 - 3*u**6/40 + 2*u**5/5 - u**4/2 - 18*u**2 - u. Determine w so that h(w) = 0.
-2, 0, 1, 2
Let n(f) be the second derivative of -13/16*f**4 - 27*f + 1/4*f**3 + 0*f**2 + 0. Factor n(z).
-3*z*(13*z - 2)/4
Let m(d) = 4*d**2 + 98*d + 87. Let u(r) = -3*r**2 - 99*r - 90. Let i(b) = -6*m(b) - 7*u(b). Solve i(f) = 0 for f.
-1, 36
Let v(j) = 17*j**4 + 6*j**3 - 96*j**2 - 96*j. Let g(k) = -9*k**4 - 3*k**3 + 48*k**2 + 48*k. Let x(o) = 11*g(o) + 6*v(o). Let x(c) = 0. What is c?
-4, -1, 0, 4
Suppose 0 = -3*k + 4 + 2. Suppose -4*f + 14 = 6. Factor -k*d + 6 + 3*d**2 + f*d + 15*d + 9*d**2 + 3*d**3.
3*(d + 1)**2*(d + 2)
Let b(g) be the third derivative of 0 - 128/15*g**6 - 7/12*g**8 + 62/15*g**7 + 4*g**2 + 32/3*g**3 + 40/3*g**4 - 8/15*g**5 + 0*g. Find w such that b(w) = 0.
-2/7, 1, 2
Let l = 25 + -25. Suppose 2*r - 4*r = l. Factor -1 + r*i + 3 - i**4 - 1 + 2*i - 2*i**3.
-(i - 1)*(i + 1)**3
Let b = -1 - 3. Let w be 12/24 + (-6)/b. Solve 5*c**2 - 5*c**3 + w*c - 2*c**2 + 2*c**3 + 4*c**3 = 0 for c.
-2, -1, 0
Let p(q) = -405*q**3 - 18 + 54 - 325*q**2 - 55*q + 19. Let y(f) = 15*f**3 + 12*f**2 + 2*f - 2. Let j(k) = -2*p(k) - 55*y(k). Factor j(m).
-5*m**2*(3*m + 2)
Suppose -3*r = -349 + 61. Let 5*y**3 + 13 - 81 - 45*y**2 + 39*y - 67 + r*y = 0. What is y?
3
Suppose 0 = -18*f + 33 + 3. Solve -48/5 - 24/5*n - 3/5*n**3 + 21/5*n**f = 0.
-1, 4
Let s(y) be the first derivative of -4*y**2 - 2/3*y**3 + 1/3*y**4 + 3 + 4*y. Let w(l) be the first derivative of s(l). Let w(z) = 0. What is z?
-1, 2
Let m(z) = 7*z**4 - 24*z**3 + 58*z**2 - 48*z + 7. Let d(a) = 6*a**4 - 24*a**3 + 57*a**2 - 48*a + 9. Let h(n) = -4*d(n) + 3*m(n). Suppose h(c) = 0. What is c?
1, 5
Suppose 30 - 15 = 5*f. Solve -453 + 4*k**f - 7*k**3 - 57*k**2 + 210 - 297*k = 0.
-9, -1
Suppose -16*j + 2*w + 18 + 0 = 0, 2*j - 3*w = -17. Factor 0 + 21/2*f**j - 3*f.
3*f*(7*f - 2)/2
Let t = -5/1443 - -5139/2405. Let j = t + -83/60. Suppose 1/4*r**2 - j*r + 0 = 0. What is r?
0, 3
Let u(w) = 7*w**2 - 6*w - 4. Let f be u(-1). Let p be (-22)/(-4) + (-1)/2. Solve -16*a - 3*a + 8*a**2 - 16*a**4 - a + f*a**p + 8 - 5*a**5 + 16*a**3 = 0 for a.
-1, 1, 2
Let v(x) be the first derivative of -2*x**5/55 + 3*x**4/22 + 16*x**3/33 - 12*x**2/11 - 32*x/11 - 104. Determine h, given that v(h) = 0.
-2, -1, 2, 4
Let z(y) be the third derivative of y**6/24 - 13*y**5/12 - 146*y**2. Determine x so that z(x) = 0.
0, 13
Let j be ((-1)/(6/4))/(10/50) - -4. Factor 0 - 2/9*z**3 - 4/9*z - j*z**2.
-2*z*(z + 1)*(z + 2)/9
Suppose m - 2*l - 2 = -0*m, 4 = 2*m - 5*l. Determine y, given that -13*y - 4*y**4 - 22*y + 28*y**m + 8*y**3 + 51*y = 0.
-1, 0, 4
Let c be 1*(0 + 2 - 0). Let q(w) = -w + 0*w**2 + 2*w**2 - 4*w**2 + 2 + 3*w**2. Let v(t) = 5*t**2 - 5*t + 11. Let k(j) = c*v(j) - 11*q(j). Factor k(y).
-y*(y - 1)
Suppose g + h = 5*h + 27, 0 = 3*g + h - 16. Suppose -10 = 2*i - g*i. Let 4*c**3 - i + 15*c - 30*c**2 - 1 + 3*c**5 - 15*c**4 + 9*c**3 + 17*c**3 = 0. What is c?
1
Let v be 2/8*(-7 - (-562)/80). Let u(c) be the third derivative of 0*c**3 + 0 + 0*c**4 + 0*c + 3*c**2 + 1/240*c**5 + v*c**6. Solve u(h) = 0 for h.
-1/3, 0
Let y(j) = -5*j**3 - 5*j**2 + 6*j. Let i(d) = 10*d**3 + 11*d**2 - 17*d + 3*d**2 + 11*d**3 - 7*d**3. Let o(q) = -6*i(q) - 17*y(q). Factor o(u).
u**2*(u + 1)
Let y(p) be the second derivative of 7/15*p**3 + 11*p + 0 - 4/5*p**2 + 1/15*p**4. Let y(u) = 0. Calculate u.
-4, 1/2
Let y(i) = -5*i - 71. Let h be y(-14). Let f be h/(-10) - (-10)/25. Find k such that -1/6*k**2 - 1/3 + f*k = 0.
1, 2
Let 1/2*l - 1/6*l**4 + 3 - 7/6*l**3 - 13/6*l**2 = 0. Calculate l.
-3, -2, 1
Let f(x) = 17*x**2 + 199*x - 2194. Let b(z) = -3*z**2 - 40*z + 439. Let y(t) = 22*b(t) + 4*f(t). What is i in y(i) = 0?
21
Let p(i) = i**2 - 4*i - 3. Let q be p(-1). Let r = 0 + q. Factor 8*l + 2*l - 6 + 4 - 35*l**r + 7*l.
-(5*l - 1)*(7*l - 2)
Suppose 19167*p = 19188*p - 63. Find y, given that 2/11*y**4 - 2/11*y**2 + 0*y + 0 + 0*y**p = 0.
-1, 0, 1
Let f(a) be the second derivative of -a**6/720 + a**5/96 - 7*a**3 - 2*a. Let r(h) be the second derivative of f(h). Factor r(u).
-u*(2*u - 5)/4
Suppose -9*d + 12*d = 12. Let l(k) be the first derivative of 3/5*k**5 + 3/2*k**2 + 6*k - 3/4*k**d - 4 - 3*k**3. Factor l(y).
3*(y - 2)*(y - 1)*(y + 1)**2
Factor 3/10*f + 1/5 + 1/10*f**2.
(f + 1)*(f + 2)/10
Let n = 267 - 267. Let s(i) be the third derivative of -1/16*i**4 + 0 + n*i**3 - 1/80*i**5 + 0*i + 2*i**2. Let s(c) = 0. What is c?
-2, 0
Let b(l) = -48*l**3 - 44*l**2 + 12*l - 16. Let i(g) = -32*g**3 - 29*g**2 + 8*g - 10. Let k(v) = 5*b(v) - 8*i(v). Let k(z) = 0. Calculate z.
-1, 0, 1/4
Let o(m) be the first derivative of m**4/42 + 8*m**3/63 - m**2/3 - 20*m/21 - 134. Solve o(w) = 0.
-5, -1, 2
Let n be (-3*5/(-12))/(-49 + 54). What is k in -3/8 + n*k + 1/8*k**2 = 0?
-3, 1
Factor 20/11*c + 2/11*c**2 - 2.
2*(c - 1)*(c + 11)/11
Let h(p) be the second derivative of -p**4/12 - 5*p**3/6 + 7*p**2 - 44*p. Factor h(u).
-(u - 2)*(u + 7)
Factor -5951 + 44*o + 2*o**3 - 14*o**2 + 5911 - o**3.
(o - 10)*(o - 2)**2
Let k be (-3 - -2)/(1/(-6)). Suppose 0 = 2*o - 12 + k. Find y such that -o*y**2 + 8*y**3 + 55*y - 59*y + 6*y**4 + y**2 = 0.
-1, 0, 2/3
Let o(x) be the second derivative of 17*x + 3/8*x**2 - 5/12*x**3 - 3/40*x**5 + 1/4*x**4 + 0 + 1/120*x**6. Factor o(n).
(n - 3)*(n - 1)**3/4
Suppose -44 = -5*h - 14. Factor -h*m**4 + 7*m**3 - 3*m**3 - 4*m**5 + 4*m**2 - m**4 + 3*m**4.
-4*m**2*(m - 1)*(m + 1)**2
Let x(k) be the second derivative of -3*k**5/20 + 7*k**3/2 + 9*k**2 + k - 62. Determine j, given that x(j) = 0.
-2, -1, 3
Let m(k) be the second derivative of -k**5/20 - 3*k**4 - 72*k**3 - 10*k**2 + 34*k. Let i(u) be the first derivative of m(u). Factor i(w).
-3*(w + 12)**2
Let a(c) = -165*c**2 + 89*c + 8. Let p(b) = 164*b**2 - 85*b - 6. Let n(i) = -5*a(i) - 6*p(i). Factor n(l).
-(3*l - 1)*(53*l - 4)
Solve -2085 - 4*s - 3*s**2 + 2115 + s**2 = 0 for s.
-5, 3
Let