2)**2/5
Let c(a) = 2*a**2 - 3*a + 50. Let g(r) = -5*r**2 + 5*r - 105. Let v(x) = -15*c(x) - 7*g(x). Suppose v(n) = 0. Calculate n.
-3, 1
Let s = 70 + 4. Suppose 5 + s*r**2 + 4 - 4 - 79*r**2 = 0. What is r?
-1, 1
Let f = 28438/3 + -9478. Factor 2/9*r**2 + 14/9*r + f.
2*(r + 1)*(r + 6)/9
Factor 5 - 7*c + 7 - 25*c**2 + 26*c**2.
(c - 4)*(c - 3)
Find q, given that 3 + 2*q**3 - 53 + 20256*q - 20186*q - 22*q**2 = 0.
1, 5
Let r(x) = -3*x**3 + 3*x**2 - 2. Let k be r(-1). Determine n so that 3208*n**3 + 12*n**k - 3 + 116*n**2 - 80*n + 19 - 3272*n**3 = 0.
1/3, 1, 2
Let m be 40/(-210)*7617*(-2)/8. Let c = 363 - m. Factor -2/7 + 4/7*y**3 + 1/7*y**5 - c*y**2 + 4/7*y**4 - 5/7*y.
(y - 1)*(y + 1)**3*(y + 2)/7
Suppose -258 = -2*j + 5*j. Let m = j + 120. What is c in -60*c + 3*c**4 + 13*c**3 + 24 + 14*c**2 + 39*c**2 + c**2 - m*c**3 = 0?
1, 2
Let l be (-1 + -5)/(-24)*64/10. Let w = -133 + 681/5. Solve -w*j + 6/5*j**2 + l = 0.
2/3, 2
Let i = 2/1331 - -2648/9317. Let p(f) be the second derivative of 0*f**2 + 1/35*f**5 + 0 - 4/21*f**4 - 9*f + i*f**3. Suppose p(k) = 0. Calculate k.
0, 1, 3
Let j(p) = 20*p - 144. Let y be j(9). Let b be y/48 + 9/(-12). Factor -1/3 - 2/3*c + 2/3*c**3 + b*c**2 + 1/3*c**4.
(c - 1)*(c + 1)**3/3
Let t(x) be the second derivative of -7/12*x**4 - 11/6*x**3 - 10*x - 5/2*x**2 - 1/20*x**5 + 0. Factor t(d).
-(d + 1)**2*(d + 5)
Let n = 54 - 52. Let h(g) be the third derivative of 0*g + 3*g**n + 1/300*g**6 + 1/150*g**5 + 0 + 0*g**3 + 0*g**4. Suppose h(f) = 0. What is f?
-1, 0
Let h = -23731 - -1803601/76. Let s = 3/19 + h. Let -1/2*a - s*a**3 + 1/4*a**5 + 5/4*a**2 - 1/4*a**4 + 0 = 0. Calculate a.
-2, 0, 1
Let f be 1/14*(-206 - -242). Factor f*w - 4/7 - 2*w**2.
-2*(w - 1)*(7*w - 2)/7
Let g(u) = 5*u**2 + 3. Let s(d) be the third derivative of -d**5/60 - d**3/6 + 13*d**2. Let n(q) = 2*g(q) + 6*s(q). Factor n(c).
4*c**2
Let g(l) be the third derivative of l**8/5880 - l**7/1470 + l**5/210 - l**4/84 + 11*l**3/6 - 12*l**2. Let o(h) be the first derivative of g(h). Factor o(r).
2*(r - 1)**3*(r + 1)/7
Let b(q) be the first derivative of 34 + 0*q + 2/3*q**2 - 1/36*q**6 + 2/9*q**3 - 1/4*q**4 - 1/6*q**5. Let b(g) = 0. What is g?
-2, 0, 1
Let m(d) be the third derivative of -d**8/112 + 13*d**7/210 - 19*d**6/120 + 11*d**5/60 - d**4/12 + 78*d**2. Suppose m(h) = 0. Calculate h.
0, 1/3, 1, 2
Let y(i) be the third derivative of i**6/360 - 17*i**5/90 + 11*i**4/24 - 195*i**2. Find l such that y(l) = 0.
0, 1, 33
Solve 8*z**3 + 2/5*z**4 + 104/5*z + 108/5*z**2 + 34/5 = 0.
-17, -1
Let b be ((-168)/49)/((-54)/672). Find c, given that b*c - 256/3 + 16*c**2 - 16/3*c**3 - 4/3*c**4 = 0.
-4, 2
Let j(r) be the second derivative of -3/8*r**4 + 0*r**2 - 1/6*r**3 + 15*r - 3/8*r**5 + 0 - 1/28*r**7 - 11/60*r**6. Factor j(q).
-q*(q + 1)**3*(3*q + 2)/2
Let p(k) be the third derivative of 0 + 1/120*k**5 + 0*k**3 + k**2 + 0*k + 1/16*k**4. Determine b so that p(b) = 0.
-3, 0
Let i be (-72)/(-36) + (-2 - 0). Let r(b) be the second derivative of 1/6*b**2 + i + 1/36*b**4 + b - 1/9*b**3. Factor r(o).
(o - 1)**2/3
Factor -156*r**3 + 3 + 15 + 3*r**4 - 57*r + 129*r**3 + 63*r**2.
3*(r - 6)*(r - 1)**3
Let r be (-40)/(-10) + (20/1)/(-5). Let q(k) be the third derivative of 0*k + 3*k**2 + r + 1/12*k**4 - 1/6*k**3 - 1/60*k**5. Find d, given that q(d) = 0.
1
Let v be -6 + 29 + (-4941)/243. Suppose 38/3*k**2 - 8/3*k - v + 2*k**4 - 28/3*k**3 = 0. What is k?
-1/3, 1, 2
Let m(x) be the first derivative of x**5/330 - x**4/44 + 2*x**3/33 - 11*x**2/2 - 2. Let v(t) be the second derivative of m(t). Solve v(q) = 0 for q.
1, 2
Let y(n) be the third derivative of n**8/112 + n**7/14 + n**6/5 + n**5/5 - 3*n**2 + 4*n. Solve y(z) = 0 for z.
-2, -1, 0
Let w(p) be the third derivative of -p**7/70 - 3*p**6/40 + p**5/20 + 3*p**4/8 + 3*p**2 + 32. Solve w(r) = 0 for r.
-3, -1, 0, 1
Factor -6*q**2 - 4*q**2 + 0*q - 3*q**3 - 6*q + q**2 + 0*q.
-3*q*(q + 1)*(q + 2)
Let h(i) be the third derivative of -i**5/270 - 5*i**4/36 - 26*i**3/27 - 30*i**2 - 3*i. Solve h(g) = 0.
-13, -2
Let u(c) = c**2 + 1. Let w be u(-1). Let q(o) be the first derivative of -1/3*o - 8/3*o**4 + 5 + 1/3*o**w + 16/15*o**5 + 5/3*o**3. Determine p so that q(p) = 0.
-1/4, 1/4, 1
Let q(x) = 60*x + 362. Let t be q(-6). Factor -1/2*j**t - 1/2 + j.
-(j - 1)**2/2
Find h such that 1540*h**2 - 4*h**3 - 838*h - 325862*h + 6669226 + 440*h**2 + 11299274 = 0.
165
Suppose 0 = -34*j + 47 + 55. Factor 3/2 - 3*r**3 + 3/2*r**5 + 3/2*r**4 - j*r**2 + 3/2*r.
3*(r - 1)**2*(r + 1)**3/2
Suppose 0 = -4*q + 12, t = 3*q - 29 + 25. Determine r so that -8/5*r + 1/5*r**2 - 1/5*r**4 + r**3 - 1/5*r**t + 4/5 = 0.
-2, 1
Let j(r) be the first derivative of r**5/35 - 6*r**4/7 + 60*r**3/7 - 200*r**2/7 - 445. Determine o so that j(o) = 0.
0, 4, 10
Let n(j) be the first derivative of j**4 - 24*j**3 + 94*j**2 - 120*j - 2. Find l such that n(l) = 0.
1, 2, 15
Let v be -5 + 20 + (0 - 11). Let m(i) be the third derivative of 0*i - 2*i**3 + 1/30*i**6 + 0 - 1/3*i**5 + 11*i**2 + 7/6*i**v. Factor m(d).
4*(d - 3)*(d - 1)**2
Find a such that 0 + a + 1/2*a**2 = 0.
-2, 0
Let c(f) be the third derivative of -1/60*f**6 + 1/315*f**7 + 1/30*f**5 + 7*f**2 - 1/36*f**4 + 0*f**3 + 0*f + 0. Factor c(a).
2*a*(a - 1)**3/3
Let v(m) be the third derivative of m**9/25200 - m**7/4200 - 11*m**4/24 + 4*m**2. Let g(d) be the second derivative of v(d). Suppose g(f) = 0. What is f?
-1, 0, 1
Let u = 24545/3 - 8105. Solve 8 + 182/3*t**4 - 49*t**5 - 92/3*t + 863/3*t**3 - u*t**2 = 0 for t.
-2, -1/3, 2/7, 3
Let a = 26812 + -26809. Factor 0 + 2/9*m**a + 8/9*m**2 + 8/9*m.
2*m*(m + 2)**2/9
Let r(m) be the second derivative of -m**6/60 + m**4/4 - 2*m**3/3 + 3*m**2/4 + 320*m. Determine k so that r(k) = 0.
-3, 1
Suppose 2 = 5*a + 7. Let c be a/(-5) + -5 + (-1736)/(-245). Factor 0 + 8/7*z - c*z**2 - 2/7*z**4 + 10/7*z**3.
-2*z*(z - 2)**2*(z - 1)/7
Factor 14*t**2 + 77*t**2 + 111*t - 94*t**2.
-3*t*(t - 37)
Suppose 0*s = -2*f + 5*s, 5*f = 4*s + 17. Factor -6*g**4 + 12*g**3 + 3*g**f - 16*g**3 + 7*g**3.
3*g**3*(g - 1)**2
Let a(u) be the second derivative of 1/24*u**3 + 31*u + 0 - 1/24*u**4 + 1/80*u**5 + 0*u**2. Factor a(d).
d*(d - 1)**2/4
Suppose -44*m = -51*m - 14. Let k(h) = -h + 1. Let t(n) = -n. Let i(a) = a**2 - 7*a + 3. Let c(u) = i(u) - 6*t(u). Let x(s) = m*c(s) + 6*k(s). Factor x(f).
-2*f*(f + 2)
Factor 6*x**2 - 14*x + 217 + 3*x**4 + 6*x**3 - 229 - 5*x**4.
-2*(x - 3)*(x - 2)*(x + 1)**2
Suppose -5*w + i = -21, 0 = -2*w + 3*w - 4*i - 8. Factor 5*s**2 + 8 - w*s**2 + 2*s - 8*s.
(s - 4)*(s - 2)
Suppose -3*h - 12*h**3 - 21/2*h**2 - 9/2*h**4 + 0 = 0. Calculate h.
-1, -2/3, 0
Suppose -13*d = -10*d - 339. Let u = d - 1467/13. Determine b, given that -10/13*b**3 - 8/13*b**4 + 0*b - u*b**5 + 0 - 4/13*b**2 = 0.
-2, -1, 0
Let q(b) be the second derivative of -11*b**4/3 + 31*b**3/3 + 9*b**2 - 5*b. Let d(i) = 15*i**2 - 21*i - 6. Let c(r) = -17*d(r) - 6*q(r). Factor c(s).
3*(s - 2)*(3*s + 1)
Let k(c) be the first derivative of -c**4 - 20*c**3/3 + 8*c**2 + 80*c - 179. Find r such that k(r) = 0.
-5, -2, 2
Let n(x) be the third derivative of -x**7/1365 + 41*x**6/780 - 44*x**5/39 + 100*x**4/39 - 152*x**2. Factor n(t).
-2*t*(t - 20)**2*(t - 1)/13
Factor 242*b**2 + 26 - 14 - 44*b**3 - 6*b**3 + 118*b + 38*b**2.
-2*(b - 6)*(5*b + 1)**2
Let s be 54/6*2/6. Factor -14*h**4 + 2*h**s - h - h**5 + 4*h**4 + 11*h**4 - 2*h**2 + 2 - 1.
-(h - 1)**3*(h + 1)**2
Determine l, given that 0*l + 0 + 2/3*l**2 - 1/3*l**4 + 7/6*l**3 = 0.
-1/2, 0, 4
Let j(z) = -z**4 - 4*z**3 + z. Let v(b) = 5970*b**4 + 20345*b**3 + 19290*b**2 + 4945*b + 40. Let h(i) = 5*j(i) - v(i). Let h(x) = 0. Calculate x.
-2, -1, -2/5, -2/239
Suppose -994 = 15*a - 1024. Factor -1/2*j**a + 0*j + 1/2.
-(j - 1)*(j + 1)/2
Let q(n) = -n**2 + 200*n - 2256. Let i be q(12). Let 1/6*r**5 + 0*r - 1/6*r**3 + i*r**2 + 0*r**4 + 0 = 0. Calculate r.
-1, 0, 1
Let -4 + 124*s + 36*s + 5*s**3 + 4 - 45*s - 120*s**2 = 0. Calculate s.
0, 1, 23
Let x(n) be the first derivative of 5/2*n**3 + 0*n + 9/4*n**2 + 1/10*n**5 + 10 + 7/8*n**4. Determine t, given that x(t) = 0.
-3, -1, 0
Find h, given that 23*h - 12*h**3 - 29*h + 92*h**2 - 50*h = 0.
0, 2/3, 7
Let b be 2/((-44)/1485 - 8/(-20)). Let t(w) be the first derivative of -9/5*w**2 - 4 - 1/5*w**3 - b*w. Find z, given that t(z) = 0.
-3
Let q(v) be the second derivative of 50*v**2 - 28