 - 2. Let s(v) = -v**4 + 5*v**3 - 9*v**2 - 33*v - 3. Let f(l) = -3*q(l) + 2*s(l). Find k such that f(k) = 0.
-3, 0, 2
Let c = 65/2 + -32. Let a be -4*(34/(-16) - -2)*(-3 - -13). Solve -c*h - 1/2*h**a + h**3 - 1/3*h**2 + 1/6 + 1/6*h**4 = 0.
-1, 1/3, 1
Suppose 2*k - 11*k = 0. Let a(o) be the first derivative of -2 + 0*o + 1/6*o**3 + k*o**2 - 1/8*o**4. What is i in a(i) = 0?
0, 1
Let t(v) be the first derivative of -v**5/10 - v**4/8 + 2*v**3 - v**2 - 8*v - 37. Solve t(i) = 0.
-4, -1, 2
Let p(q) be the second derivative of -q**7/525 + q**6/300 + q**5/150 - q**4/60 + 7*q**2 + 8*q. Let m(o) be the first derivative of p(o). Factor m(h).
-2*h*(h - 1)**2*(h + 1)/5
Factor 3*x**3 - 7/2*x + x**2 + 3/2 + 1/2*x**5 - 5/2*x**4.
(x - 3)*(x - 1)**3*(x + 1)/2
Let w be (-1)/((-24)/(-2598)) - -3. Let o = -105 - w. Factor 0*a + 0*a**4 + 0 + o*a**5 + 0*a**2 - 1/4*a**3.
a**3*(a - 1)*(a + 1)/4
Factor 14/5*j - 4 - 2/5*j**2.
-2*(j - 5)*(j - 2)/5
Find s, given that -1/3*s**3 + 0 - 8*s**2 - 80/3*s = 0.
-20, -4, 0
Let n(d) = -d**3 - 18*d**2 + 46*d + 122. Let r be n(-20). Suppose 9/5 - 6/5*z + 1/5*z**r = 0. What is z?
3
Let d be (-4)/(-22) + (-620)/(-220). Let p(o) be the first derivative of 1/14*o**4 + 2/21*o**d + 4 + 6/7*o - 5/7*o**2. Find i, given that p(i) = 0.
-3, 1
Let v be 4 - 2 - (-7 + 4). Suppose -v*m = 3*k - 9, 3*m - 2 = -3*k + 7. Find q such that -2*q**3 + 2/3*q**5 + 0*q**2 + 4/3*q**4 + m*q + 0 = 0.
-3, 0, 1
Let u(w) be the third derivative of w**6/120 - w**5/60 - w**4/4 - w**2 + 23. Suppose u(l) = 0. Calculate l.
-2, 0, 3
Let s be (-5)/2*36/(-5). Suppose -a - 14 = -4*w - 0*w, 4*w = -a + s. Factor -2*q**2 + a*q**2 - 3*q**2 + 3*q**3 + 0*q**2.
3*q**2*(q - 1)
Let p(h) be the first derivative of -5*h**6/6 + 12*h**5 - 115*h**4/2 + 100*h**3 - 125*h**2/2 - 265. Factor p(g).
-5*g*(g - 5)**2*(g - 1)**2
Determine x, given that -92*x**2 + 178*x**2 - 83*x**2 + 6 + 9*x = 0.
-2, -1
Factor 182/9*m + 356/9 + 2/9*m**2.
2*(m + 2)*(m + 89)/9
Suppose 5/3*n**3 - 1/3*n**5 - 1/3*n**4 + 0 - n**2 + 0*n = 0. Calculate n.
-3, 0, 1
Let n(i) be the first derivative of 9/28*i**4 - 3/7*i**3 - 16 + 3/14*i**2 - 3/35*i**5 + 0*i. Let n(s) = 0. Calculate s.
0, 1
Let v(i) be the first derivative of 41 - 3/2*i + 3/16*i**4 - 9/8*i**2 + 0*i**3. Factor v(y).
3*(y - 2)*(y + 1)**2/4
Let v be 4 + (-13)/((-78)/(-96)). Let j be (1 - (-13)/v)/((-6)/64). What is k in -20/9*k**2 - j*k - 4/9*k**4 - 16/9*k**3 + 0 = 0?
-2, -1, 0
Suppose -4*s + 32 = 0, -49*s = -3*z - 47*s - 10. Determine p so that -9/2*p + 1/2*p**z + 0 = 0.
0, 9
Let k(z) be the first derivative of z**4/8 + 13*z**3/6 + 55*z**2/4 + 75*z/2 + 31. Find v, given that k(v) = 0.
-5, -3
Let w = -1614 + 1624. Let i(p) be the third derivative of -1/120*p**5 + 0*p**4 + 0 + 1/3*p**3 + w*p**2 + 0*p. Solve i(c) = 0 for c.
-2, 2
Suppose 0 = 3*l + 5*c - 11, -2*l + c + 10 = 7. Suppose 4*d + 23 = 5*i, 3*i - l*d - 16 = -i. Determine h so that 2/3*h**2 + 2/3*h - 4/3*h**i + 0 = 0.
-1/2, 0, 1
Let u = 1397 + -1392. What is y in -3/4*y**3 - 1/4*y**2 - 3/4*y**4 - 1/4*y**u + 0*y + 0 = 0?
-1, 0
Factor 9*y + 9868*y**3 - 9873*y**3 + 11*y.
-5*y*(y - 2)*(y + 2)
Let r(k) be the first derivative of k**5/140 + k**4/42 - k**3/42 - k**2/7 - 24*k + 2. Let u(z) be the first derivative of r(z). Factor u(w).
(w - 1)*(w + 1)*(w + 2)/7
Let b(m) = m**4 - 25*m**3 - 39*m**2 - 41*m - 16. Let j(i) = 15*i**4 - 350*i**3 - 545*i**2 - 575*i - 225. Let f(k) = 85*b(k) - 6*j(k). What is w in f(w) = 0?
-2, -1
Let c be (-2)/(-966)*1 - (11 + -11). Let b = 23665/966 + c. Solve 12*y + 21/2*y**4 - 17/2*y**2 + b*y**5 - 73/2*y**3 - 2 = 0.
-1, 2/7, 1
Let y be ((-10)/225)/(1/(-18)). Factor -32/5 + 24/5*p**2 + y*p**4 + 16/5*p - 4*p**3.
4*(p - 2)**3*(p + 1)/5
Determine v so that 0*v + 6/5*v**4 + 0 - 8/5*v**3 + 2/5*v**2 = 0.
0, 1/3, 1
Suppose 6*u - 40 + 40 = 0. Let x(d) be the second derivative of 0*d**5 + u*d**2 + 0*d**3 + 1/45*d**6 - d - 1/18*d**4 + 0. Factor x(r).
2*r**2*(r - 1)*(r + 1)/3
Let o = -24 + 18. Let x be ((-5)/10)/(1/o). What is b in -b + 0*b + b**2 + b**3 + 2 - x = 0?
-1, 1
Let a(c) be the third derivative of c**6/120 - 3*c**5/40 + c**4/4 + 9*c**3/2 - 5*c**2. Let h(y) be the first derivative of a(y). Factor h(v).
3*(v - 2)*(v - 1)
Suppose 0*b - m = -b + 13, -2*b = 4*m - 20. Suppose 2*n - 8 = -2*v, 0 = 2*v + 3*n + 2 - b. Factor 4/3*d**2 - v*d**3 + 0 + 8/3*d**5 - 8/3*d**4 + 2/3*d.
2*d*(d - 1)**2*(2*d + 1)**2/3
Let x = 1/258 + 343/258. Solve 4/3*v + 0 + x*v**2 = 0.
-1, 0
Let w(a) = a**2 + 3*a + 2. Let v be w(-1). Suppose -8*z + 9 + 7 = v. Find h, given that -h**2 + h**z - 3*h**2 + 9*h = 0.
0, 3
Let a = -504 - -508. Let l(f) be the second derivative of 0 + 0*f**3 + 1/4*f**a - 7*f - 3/2*f**2. Factor l(v).
3*(v - 1)*(v + 1)
Let u(i) be the second derivative of i**6/80 + 13*i**5/80 + i**4/4 - 4*i**3/3 - 10*i. Let g(p) be the second derivative of u(p). Factor g(h).
3*(h + 4)*(3*h + 1)/2
Let -2704 - 104/3*l - 1/9*l**2 = 0. Calculate l.
-156
Factor 10/7 + 8/7*f**2 + 6*f.
2*(f + 5)*(4*f + 1)/7
Let b(j) = -19*j**3 - 22*j**2 - 23*j - 8. Let s(a) = -3*a**3 + a**2 - a - 1. Let r(o) = b(o) - 3*s(o). Let r(l) = 0. What is l?
-1, -1/2
Let b be ((-28)/35 - 0)*(-5)/8. Let d(t) be the first derivative of -5/2*t + 6 - b*t**2 - 1/30*t**3. Find n, given that d(n) = 0.
-5
Let a(s) be the first derivative of -s**7/168 - s**6/72 + s**5/12 + 14*s**3/3 - 19. Let d(i) be the third derivative of a(i). Suppose d(r) = 0. Calculate r.
-2, 0, 1
Let j(l) be the first derivative of 3*l**4/16 + 3*l**3/4 - 69*l**2/4 - 36*l + 227. Solve j(m) = 0.
-8, -1, 6
Let j(v) be the second derivative of v**4/24 + 17*v**3/12 + 158*v. Factor j(g).
g*(g + 17)/2
Let a(t) be the first derivative of t**4/8 + t**3/8 + 7*t - 14. Let k(q) be the first derivative of a(q). Find i, given that k(i) = 0.
-1/2, 0
Let c(g) be the third derivative of 1/1680*g**7 + 1/480*g**5 + 0*g + 1/480*g**6 + 0*g**3 + 0*g**4 + 0 - 9*g**2. Factor c(b).
b**2*(b + 1)**2/8
Let k be (-45)/6*(-2)/3 - 2. Suppose 14 = -k*h + 5*f, 5*f - 24 = -3*h + 2. Factor 1/5 - 2/5*j + 1/5*j**h.
(j - 1)**2/5
Let k(j) be the second derivative of 2/15*j**6 - 1/3*j**4 + 0 - 1/5*j**5 + 0*j**2 + 0*j**3 + 2/21*j**7 + 15*j. Factor k(o).
4*o**2*(o - 1)*(o + 1)**2
Let t(i) = 4*i**3 - 7*i**2 - 11*i + 5. Let b(l) = 4*l**3 - 8*l**2 - 12*l + 4. Let q = 13 + -9. Let r(f) = q*t(f) - 5*b(f). Factor r(j).
-4*j*(j - 4)*(j + 1)
Let s = 79 + -76. Let d(n) be the first derivative of -1/2*n**4 - n**2 + 4/3*n**s + 0*n + 5. Let d(h) = 0. Calculate h.
0, 1
Suppose -h = -i + 7, -2*h + 2*i - 15 = -i. Let g(r) = r**2 + 6*r + 4. Let m be g(h). Factor 3*w - 2*w**2 - m + 0*w**3 + 5 + 5*w**2 + w**3.
(w + 1)**3
Let p be (2/5)/(908/11350*15/4). Solve 1 - p*q + 1/3*q**2 = 0 for q.
1, 3
Let k(n) = 7*n**4 + n**3 - 11*n**2. Let t(h) = -3*h**4 + 5*h**2. Let a(p) = 4*k(p) + 10*t(p). Suppose a(w) = 0. Calculate w.
-1, 0, 3
Factor 150*h - 404*h - 28 - h**2 + 137*h + 133*h.
-(h - 14)*(h - 2)
Factor -2/7*u**2 - 7442/7 - 244/7*u.
-2*(u + 61)**2/7
Factor -15*v + 4*v**3 - 4*v**2 + 11*v - 4*v.
4*v*(v - 2)*(v + 1)
Let v(m) = 3*m - 6 + 5 + m**3 - 4*m + m**2. Let q(z) = 7 - 8*z**3 + z**3 - 9*z**2 + 3*z**2 - z**4 + 7*z. Let b(x) = -2*q(x) - 14*v(x). Let b(o) = 0. What is o?
-1, 0, 1
Let d(y) be the second derivative of y**6/120 - y**5/4 + 131*y**4/48 - 38*y**3/3 + 24*y**2 - 61*y. Factor d(p).
(p - 8)**2*(p - 3)*(p - 1)/4
Suppose -5*d + 31 = 7*j - 4*j, 0 = 2*j - 2*d + 6. Let o(u) be the first derivative of 2/7*u**j + 6/7*u**4 - 6/7*u**3 - 2/7*u**5 + 6 + 0*u. Factor o(w).
-2*w*(w - 1)**2*(5*w - 2)/7
Let h(y) be the first derivative of -4/5*y**3 - 12 - 1/5*y**4 + 12/5*y + 2/5*y**2. Solve h(s) = 0.
-3, -1, 1
Let i(w) be the first derivative of w**6/420 + w**5/210 - w**4/84 - w**3/21 + 3*w**2 - 13. Let s(t) be the second derivative of i(t). Factor s(d).
2*(d - 1)*(d + 1)**2/7
Let i = -45 - -54. Let b be (2/(-3))/(24/i - 3). Factor -1/4*n**b + 1/4*n**3 + 0*n + 0.
n**2*(n - 1)/4
Let z(v) be the third derivative of -v**8/4032 - v**7/1008 + v**6/72 - 19*v**5/60 - 33*v**2. Let q(o) be the third derivative of z(o). Solve q(k) = 0 for k.
-2, 1
Let p(v) be the second derivative of v**7/15120 - 3*v**4 - 27*v. Let b(c) be the third derivative of p(c). Suppose b(u) = 0. What is u?
0
Factor 1/5*k**2 + 4/5 - 4/5*k.
(k - 2)**2/5
Determine x, given that 3*x**4 + 12*x**