Factor h(k).
-4*(k - 2)*(33*k - 2)
Let q be -21*5/(-15) - (0 + 1). Factor q*u**3 + 26*u - 16*u - 16*u**3 - 5*u**4 + 5.
-5*(u - 1)*(u + 1)**3
Let w(t) be the first derivative of t**4/12 - t**3/3 - 7*t - 20. Let u(l) be the first derivative of w(l). Solve u(a) = 0 for a.
0, 2
Let f(a) = -6*a - 30. Let r be f(-15). Let b be 3/2 + (r/(-8))/(-5). Factor -1/5*k**4 + 3/5*k**b + 0 - 2/5*k**2 + 0*k.
-k**2*(k - 2)*(k - 1)/5
Suppose 9 + 80*g**2 + 38*g**4 - 35*g**3 - 9 - 33*g**4 - 60*g = 0. What is g?
0, 2, 3
Let r be 20/(-8)*(-16)/10. Suppose 3*l**3 - 2*l**2 - 2*l**2 - 7*l + 2 + r*l + 2*l = 0. What is l?
-2/3, 1
Let r(j) = j**3 - 7*j**2 + 5*j + 10. Let u be r(6). Let 40*v - 59 - 3 + u*v**2 - 18 - 9*v**2 = 0. Calculate v.
4
Let 166/7*x**2 + 480*x + 2/7*x**3 - 504 = 0. What is x?
-42, 1
Let m(p) = -p**4 + 3*p**2 + 2*p. Let b be 2/11 + (-168)/77. Suppose 0 = 4*y - 0 + 4. Let c(v) = v**4 - v**3 - v**2 - v. Let o(q) = b*c(q) + y*m(q). Factor o(n).
-n**2*(n - 1)**2
Let f = -61 + 98. What is a in 15*a**2 - 12*a**3 - 9*a + 5*a**4 - 36*a + f*a**3 = 0?
-3, 0, 1
Factor 3/2*z**3 - 3/4*z**5 + 0*z**2 + 0 - 3/4*z + 0*z**4.
-3*z*(z - 1)**2*(z + 1)**2/4
Find l such that -21*l - 2*l - 2*l**2 - 7*l - 100 = 0.
-10, -5
Let s(p) = -10*p**2 + 45*p - 130. Let i(k) be the second derivative of -3*k**4/4 + 23*k**3/3 - 129*k**2/2 + 29*k. Let u(f) = -5*i(f) + 4*s(f). Factor u(d).
5*(d - 5)**2
Suppose -5*t + 1 = -2*v, -11 = 3*v - 6*v - 5*t. Factor 0*i**2 + 2*i - 5*i**2 + 3*i**v.
-2*i*(i - 1)
Let b(q) be the first derivative of 5*q**4/6 + 64*q**3/9 + 37*q**2/3 + 20*q/3 + 227. Find z such that b(z) = 0.
-5, -1, -2/5
Let w = -116 + 134. Solve -58*v**2 - w*v + 113*v**2 - 57*v**2 = 0 for v.
-9, 0
Let s = 10791 + -10788. Find i, given that 0 + 3/2*i**s + 3/2*i**4 + 0*i + 0*i**2 = 0.
-1, 0
Let f(l) be the third derivative of l**6/300 + 11*l**5/150 + 19*l**4/60 + 3*l**3/5 + 166*l**2 + 2*l. Factor f(q).
2*(q + 1)**2*(q + 9)/5
What is d in 5*d**3 - 40 - 4*d**3 - 9*d**2 - 4*d**3 + 52 = 0?
-2, 1
Let m = -47491/4 - -11874. Determine w, given that 0 + m*w - 1/4*w**2 = 0.
0, 5
Let z(v) be the first derivative of -3*v**4/28 + 20*v**3/7 - 150*v**2/7 - 158. Find l, given that z(l) = 0.
0, 10
Let a(r) be the second derivative of 1/40*r**6 + 1/2*r**3 + 3/20*r**5 + 3*r + 0 + 5/2*r**2 + 3/8*r**4. Let g(m) be the first derivative of a(m). Factor g(q).
3*(q + 1)**3
Let -65*p**3 - 96*p**4 - 5*p**5 - 56*p**4 + 192*p**4 + 30*p**2 = 0. What is p?
0, 1, 6
Let c be 7/4 - 1/(-4). Suppose 7*l**4 + 21*l**3 - l**c - 12*l + 8*l**4 - 23*l**2 = 0. What is l?
-2, -2/5, 0, 1
Let m(d) be the first derivative of d**7/2240 - d**6/2880 - d**5/480 - 2*d**3 - 8. Let x(q) be the third derivative of m(q). Factor x(k).
k*(k - 1)*(3*k + 2)/8
Let f(k) be the second derivative of 2*k**6/15 + 19*k**5/35 + 8*k**4/21 - 8*k**3/21 + 67*k. Find q such that f(q) = 0.
-2, -1, 0, 2/7
Factor 2*v**2 + 52*v - 31*v + 1250 + 49*v + 14*v + 16*v.
2*(v + 25)**2
Let w be (1/10)/(24/31380). Let x = w - 130. Factor -3/2 - 3*l**2 + 15/4*l + x*l**3.
3*(l - 2)*(l - 1)**2/4
Let a(h) be the second derivative of h**5/5 - 6*h**4 - 26*h**3 - 40*h**2 + 4*h - 7. What is k in a(k) = 0?
-1, 20
Let p(h) = -7*h**2 + 68*h + 19. Let i = -32 - -29. Let b(r) = -3*r**2 + 34*r + 9. Let x(c) = i*p(c) + 5*b(c). Determine n so that x(n) = 0.
-1/3, 6
Let w = 180 + -175. Let u(v) be the second derivative of -1/20*v**w + 0*v**2 + 0*v**4 + 1/6*v**3 - 2*v + 0. Factor u(d).
-d*(d - 1)*(d + 1)
Let v(r) be the first derivative of -4*r**5/5 - 23*r**4 + 412*r**3/3 - 266*r**2 + 216*r - 600. Solve v(i) = 0 for i.
-27, 1, 2
Let y(o) = -1 + o + 1 - 5*o - 16. Let a be y(-4). Find g such that a*g + 0 + 2/7*g**2 = 0.
0
Let o(x) = 60*x**5 + 180*x**4 - 35*x**3 - 155*x**2. Let i(b) = -5*b**5 - 15*b**4 + 3*b**3 + 13*b**2. Let f(q) = 25*i(q) + 2*o(q). Solve f(g) = 0.
-3, -1, 0, 1
Let j(f) be the third derivative of f**5/60 + 41*f**4/24 - 7*f**3 - 57*f**2 - 1. Factor j(r).
(r - 1)*(r + 42)
Let r(y) be the third derivative of -y**8/1344 - y**7/420 + y**6/480 + y**5/120 + 120*y**2. Suppose r(j) = 0. What is j?
-2, -1, 0, 1
Let x(y) be the second derivative of 5*y**4/12 + 20*y**3 + 115*y**2/2 - 2*y - 33. Factor x(r).
5*(r + 1)*(r + 23)
Factor 9*l**3 + 280*l + 2*l**3 - 8*l**2 + 229 - 47*l**3 + 2*l**4 - 46*l**2 + 227.
2*(l - 19)*(l - 3)*(l + 2)**2
Let d = 233/620 - -3/124. Let v(b) be the first derivative of -2/25*b**5 - 4/5*b**3 + 3 - d*b**4 - 4/5*b**2 - 2/5*b. Factor v(s).
-2*(s + 1)**4/5
Factor -3/5*y**3 - 4704/5 + 12*y**2 + 84/5*y.
-3*(y - 14)**2*(y + 8)/5
Factor 0*a + 0 + 0*a**3 - 2/3*a**5 - 6*a**4 + 0*a**2.
-2*a**4*(a + 9)/3
Let r(a) be the third derivative of a**6/30 - a**5/15 - 4*a**4/3 + 8*a**3 - 536*a**2. Factor r(v).
4*(v - 2)**2*(v + 3)
Let a(s) be the second derivative of 1/2*s**4 + 2*s**3 + 0 - 3/20*s**5 - 1/20*s**6 - 8*s + 0*s**2. Find r, given that a(r) = 0.
-2, 0, 2
Let c(b) = -7*b**2 - 4*b - 5. Let r(n) = 9*n**2 - 5. Let k(s) = -4*s**2 + 2. Let h(j) = -7*k(j) - 3*r(j). Let z(l) = c(l) + 5*h(l). Factor z(d).
-2*d*(d + 2)
Suppose -5*j - 4*d - 5 = 0, -3*j + 19 = d - 3*d. Let p = -25 - -29. Let 3*s**2 + s**4 - s**5 - s**3 - 3*s**2 - j*s**p = 0. What is s?
-1, 0
Let d(h) be the first derivative of 4*h**5/25 - 2*h**4/5 - 16*h**3/15 + 16*h**2/5 - 124. Factor d(w).
4*w*(w - 2)**2*(w + 2)/5
Let i(q) = 3*q**3 + 8*q**2 - 7. Let x(n) = n**3 + n**2. Let h(f) = -i(f) + 2*x(f). Let d(k) be the first derivative of h(k). Factor d(b).
-3*b*(b + 4)
Let i(o) be the third derivative of 2*o**7/195 - 27*o**6/260 + 5*o**5/13 - 19*o**4/39 - 8*o**3/13 + 2*o**2 - 10*o. Factor i(a).
2*(a - 2)**3*(14*a + 3)/13
Let t(z) be the first derivative of -13/2*z**3 + 45/8*z**2 - 19 - 45/16*z**4 - 3/2*z + 21/5*z**5. Determine c, given that t(c) = 0.
-1, 1/4, 2/7, 1
Let l be (13 + 298/(-21))/(25/(-30)). Let -6/7 - 2/7*k**3 - 2/7*k**2 + l*k = 0. Calculate k.
-3, 1
Factor 4*i - 20/3*i**2 - 1/3*i**4 + 3*i**3 + 0.
-i*(i - 6)*(i - 2)*(i - 1)/3
Let q(v) = 56*v**2 + 1. Let k be q(-1). Let z = 173/3 - k. Let 2/3*n**2 + 1/3*n + 1/3*n**5 - 1/3*n**4 - 1/3 - z*n**3 = 0. Calculate n.
-1, 1
Let t(c) be the second derivative of 0 + 0*c**2 - 6*c - 1/6*c**3 + 1/12*c**4. Factor t(z).
z*(z - 1)
Let y(v) = -4*v**2 + 5*v - 2. Suppose 25 = 2*a + 29. Let z(r) = -3 + 11 + 2 - 25*r + 21*r**2. Let o(k) = a*z(k) - 11*y(k). Suppose o(i) = 0. What is i?
1/2, 2
Let m(z) be the second derivative of 2/21*z**7 - 2/5*z**5 + 2/5*z**6 - 5*z - 16/3*z**3 + 0 - 4*z**4 + 0*z**2. Factor m(h).
4*h*(h - 2)*(h + 1)*(h + 2)**2
Let z be ((-18)/8)/(((-45)/(-40))/3). Let u be ((0/(-2))/z)/3. Let u - 1/9*j**2 - 2/9*j + 1/9*j**3 = 0. Calculate j.
-1, 0, 2
Determine q, given that -30 + 12*q + 3/2*q**2 = 0.
-10, 2
Let x(u) = -u + 11. Let a be x(10). Let q be 12/2 + -4 + a. Determine v, given that -9 - 19*v**2 - 12*v + v**2 + 6 - 3*v**4 - 12*v**q = 0.
-1
Let l(i) be the first derivative of -5*i**4/84 - 11*i**3/14 + i**2 - 33*i - 7. Let f(r) be the first derivative of l(r). Factor f(x).
-(x + 7)*(5*x - 2)/7
Let g be (-45)/1200*1*(-4)/6. Let d(v) be the second derivative of 6*v + 1/12*v**4 - g*v**5 - 1/2*v**2 + 0 + 1/12*v**3. What is o in d(o) = 0?
-1, 1, 2
Let k(t) be the second derivative of -t**5/50 + 13*t**4/30 - 4*t**3/5 + 56*t + 1. Factor k(u).
-2*u*(u - 12)*(u - 1)/5
Let o(b) be the first derivative of 10*b**3/3 + 6*b**2 + 11*b - 51. Let u(a) = 5*a**2 + 7*a + 6. Let l(v) = 4*o(v) - 9*u(v). Factor l(y).
-5*(y + 1)*(y + 2)
Let n(m) = -m**3 - m**2 + 10*m - 2. Let d = 35 + -30. Let f(b) = b**3 + b**2 + 2*b**2 + 4 - 19*b + 2*b**3. Let y(p) = d*n(p) + 3*f(p). Factor y(h).
(h + 2)*(2*h - 1)**2
Let t = -47 + 49. Suppose -t*z + 5 = -j, -z - 3 = -4*j + 5. Factor -21/5*v**5 + 57/5*v**4 - 9*v**j + 3/5*v**2 + 0 + 6/5*v.
-3*v*(v - 1)**3*(7*v + 2)/5
Suppose 4*o - 5*o + 14 = 0. Let c be 4/(-3 + 1) + 49/o. Let 0*l - 1/2*l**3 + 2 - c*l**2 = 0. What is l?
-2, 1
Suppose -7 = -7*f + 7. Let c(h) be the first derivative of -1/4*h**4 + h**3 + f + h - 3/2*h**2. Determine n so that c(n) = 0.
1
Let a(o) = o**4 + o**3 - o**2 + 1. Let u(r) = 2*r**4 - 26*r**3 + 30*r**2 + 6. Let i(k) = -6*a(k) + u(k). Find f, given that i(f) = 0.
-9, 0, 1
Let k(r) be the third derivative of -r**8/224 + 3*r**7/70 - 9*r**6/80 + r**5/10 - 140*r**2 + 2*r. Determine t so that k(t) = 0.
0, 1, 4
Suppose -4*z - 3*m = -46,