t -35/3*c**4 - 100*c**3 - 1240/3*c + 1/6*c**5 - 920/3*c**2 - 208 = 0. What is c?
-2, 78
Let i(c) = -7*c - 150. Let b be i(-36). Let 102*t + 2*t**5 + 10*t**3 - b*t - 8*t**4 - 4*t**2 = 0. What is t?
0, 1, 2
Let w = -41 + 30. Let u be 5 + -6 - 2 - w. Factor u*q + 2*q**2 - 2 - 2 + 8*q**3 - 10*q**3 - 4.
-2*(q - 2)*(q - 1)*(q + 2)
Factor -1922/11 - 128/11*d**3 - 2172/11*d**2 - 2/11*d**4 - 3968/11*d.
-2*(d + 1)**2*(d + 31)**2/11
Solve -15/2*x**3 - 238*x - 30 - 197/2*x**2 = 0.
-10, -3, -2/15
Let y be (1 + -9)/(-8) + -8 - -7. Let i(x) be the third derivative of 1/360*x**6 + 1/36*x**4 + 0*x + 0*x**3 - 1/60*x**5 - 10*x**2 + y. Factor i(c).
c*(c - 2)*(c - 1)/3
Let b(r) be the third derivative of -3*r**5/80 + 121*r**4/96 - 14*r**3/3 + r**2 - 3*r + 564. Find o such that b(o) = 0.
1, 112/9
Let l(a) = -34*a**2 + 75*a - 252. Let u(s) = -250*s**2 + 524*s - 1764. Let k(g) = 44*l(g) - 6*u(g). Find r, given that k(r) = 0.
-42, 3
Let x = -593007 - -593115. Factor 69/4*n**3 - x*n + 3/4*n**4 + 90*n**2 + 0.
3*n*(n - 1)*(n + 12)**2/4
Determine i, given that 1/8*i**2 + 33/4 - 25/8*i = 0.
3, 22
Let i(n) = -n**3 - 11*n**2 + 42*n + 362. Let x be i(6). Factor 14/3*m**3 - 16/3 - 68/3*m - 38/3*m**x.
2*(m - 4)*(m + 1)*(7*m + 2)/3
Let y(x) be the third derivative of -x**5/660 + 199*x**4/264 + 100*x**3/33 + 2387*x**2. Let y(i) = 0. Calculate i.
-1, 200
Determine f, given that -12*f**2 + 2253 + 36*f**2 - 357*f - 25*f**2 + 21*f - 30477 = 0.
-168
Factor -1118*b**4 + 160*b**2 - 1119*b**4 - 186*b + 46*b**3 + 3353*b**4 + 58*b - 1113*b**4.
b*(b + 8)**2*(3*b - 2)
Let c(i) be the second derivative of i**5/5 + 331*i**4/3 - 2*i**3/3 - 662*i**2 + 1128*i + 2. Factor c(g).
4*(g - 1)*(g + 1)*(g + 331)
Let f(h) be the second derivative of 6*h + 3 - 1/27*h**3 - 1/54*h**4 + 0*h**2. Solve f(d) = 0 for d.
-1, 0
Factor 302*p**2 + 29*p - 485*p**2 - 5*p**3 + 8*p**3 + 823*p - 564 - 108.
3*(p - 56)*(p - 4)*(p - 1)
Let k(c) be the first derivative of -c**5/180 + c**3/18 + 3*c**2/2 - 10*c - 57. Let d(a) be the second derivative of k(a). Factor d(v).
-(v - 1)*(v + 1)/3
Let h be (115/(-20) - -7)*(-1073)/185 - (-9 - -1). Factor h*g**2 - 87/2 + 81/4*g.
3*(g - 2)*(g + 29)/4
Let a = -488 - -492. Let -2*y - 28 + 12*y - a*y + 3*y + 4*y**2 + 15*y = 0. Calculate y.
-7, 1
Let s(t) be the second derivative of 0 + 19/48*t**3 - 33/32*t**4 - 15*t + 81/160*t**5 - 1/16*t**2. Factor s(v).
(v - 1)*(9*v - 1)**2/8
Factor -6/7*m**2 - 1598/7*m - 76.
-2*(m + 266)*(3*m + 1)/7
Suppose -22542/5 + 3/5*p**3 + 3519/5*p - 36*p**2 = 0. What is p?
17, 26
Let p(y) be the second derivative of y**4/30 + y**3/15 - 48*y**2 - 784*y. Factor p(j).
2*(j - 15)*(j + 16)/5
Let k = 4135 - 41349/10. Let h(r) be the third derivative of -3/20*r**5 + 0*r - r**3 - 9/8*r**4 + 6*r**2 + k*r**6 + 0. Factor h(f).
3*(f - 2)*(f + 1)*(4*f + 1)
Let v be ((-48)/144)/((-20)/605). Let o(k) be the third derivative of -v*k**5 + 55/6*k**4 - 10/3*k**3 + 25*k**2 + 0 + 0*k. Factor o(s).
-5*(11*s - 2)**2
Let h = 41491/3 - 13830. Let b(m) be the first derivative of -5/2*m**2 - 6*m - 4 - h*m**3. Factor b(r).
-(r + 2)*(r + 3)
Let g(q) be the third derivative of 3*q**7/140 - 31*q**6/160 - 31*q**5/80 + 3*q**4/16 + q**2 - 379. Determine s so that g(s) = 0.
-1, 0, 1/6, 6
Let c(s) = 2970*s + 3. Let i be c(0). Factor 3*t + 0 - 1/2*t**4 + 1/2*t**2 - i*t**3.
-t*(t - 1)*(t + 1)*(t + 6)/2
Find i, given that -165 - 217/4*i + 1/4*i**2 = 0.
-3, 220
Let m(g) be the second derivative of g**6/450 + 2*g**5/75 + 2*g**4/15 + 17*g**3/2 - 3*g - 7. Let r(p) be the second derivative of m(p). Factor r(b).
4*(b + 2)**2/5
Let t be 327/(-42) - -8 - 30/(-105). Let o(c) be the first derivative of -17 + 2*c + t*c**3 - 3/2*c**2 - 1/16*c**4. Factor o(s).
-(s - 2)**3/4
Let t = 225224/7 + -32096. What is s in 2160/7*s**2 + 66/7*s**4 - 3/7*s**5 - 3888/7*s + 2592/7 - t*s**3 = 0?
2, 6
Let d be (9 - 3)*1 + -7. Let n be 0 + (-18)/45*(d - 4). Factor 0*z - 4/21*z**n + 0 - 10/21*z**3.
-2*z**2*(5*z + 2)/21
Let d be ((-6)/9)/(-3 - 214/(-72)). What is l in d*l**2 + 11 - 3 + 4 - 14*l**3 + 50*l = 0?
-1, -2/7, 3
Let z(x) be the second derivative of -x**4/18 - 94*x**3/9 - 1058*x. Factor z(y).
-2*y*(y + 94)/3
Let b be (-90)/405*16/(-8). Let a(s) be the second derivative of -1/9*s**4 - b*s**3 - 2/3*s**2 - 43*s + 0. Factor a(w).
-4*(w + 1)**2/3
Let a(u) = 3*u**2 + 4*u + 5. Let g be a(-1). Let w be 1*(g + -2 + -1). Factor 9 - 48*q**2 - w + 42*q**2 + 2*q**3.
2*(q - 2)**2*(q + 1)
Let q = -13112 + 13114. Let s(u) be the second derivative of 0 + 10*u + 1/4*u**4 + 0*u**q - 1/20*u**5 - 1/3*u**3. Let s(f) = 0. Calculate f.
0, 1, 2
Let x(k) = 54 - 70 + 206*k**2 - 205*k**2 - 11*k. Let r be x(-2). Factor 9*b**2 + r*b**3 + 7/2*b**4 + 2*b - 1/2.
(b + 1)**3*(7*b - 1)/2
Factor 19120/9*n**3 + 1024/3*n + 0 - 100/9*n**4 + 15344/9*n**2.
-4*n*(n - 192)*(5*n + 2)**2/9
Let b(q) be the first derivative of 34*q**3/21 + 15*q**2/7 - 4*q/7 - 1222. Factor b(y).
2*(y + 1)*(17*y - 2)/7
Suppose 6*m - 1333 = -187. Suppose 2*j - m = 17. Factor -j - 42 - 5*y**2 + 21 + 50*y + 0*y**2.
-5*(y - 5)**2
Suppose -2*u + 88 = 4*h, 7*u + 48 = 8*u - 2*h. Factor 37*q**2 - q**3 + 400 - 360*q + u*q**2 - 122*q**2.
-(q - 1)*(q + 20)**2
Let u = -528 + 531. Factor 77*h**3 - 34*h**u - 16*h**2 + 4*h**4 - 31*h**3.
4*h**2*(h - 1)*(h + 4)
Let b(l) = 15*l**2 - 10. Let d be b(3). Factor -240*v**2 - 575*v**4 - 4581*v - d*v**5 - 680*v**3 + 4581*v.
-5*v**2*(v + 3)*(5*v + 4)**2
Let u = 7514 + -1624. Factor 3 + u*s**2 - 31*s + 0*s - 5862*s**2.
(s - 1)*(28*s - 3)
Let u = 159 + -112. Factor k**2 + u*k - 18*k + k + 225.
(k + 15)**2
Let i be (34 - 34)/((-4)/(-10)*5). Let n(z) be the third derivative of 1/6*z**6 + 22*z**2 - 3/10*z**5 + 1/6*z**4 + 0*z**3 + i + 0*z. Factor n(w).
2*w*(2*w - 1)*(5*w - 2)
Let q(v) be the third derivative of -v**7/140 + 19*v**6/80 - 11*v**5/8 - 363*v**4/16 + v**2 + 444. Find j such that q(j) = 0.
-3, 0, 11
Let s(l) be the third derivative of -l**6/1080 + 121*l**5/108 - 30401*l**4/72 - 10201*l**3/6 - l**2 - 1133. Determine h so that s(h) = 0.
-1, 303
Let p(j) be the third derivative of -j**7/42 - 14*j**6/3 - 107*j**5/12 + 280*j**4/3 + 370*j**3 - 4505*j**2. Find z, given that p(z) = 0.
-111, -2, -1, 2
Let c(t) be the second derivative of -202*t + 1/4*t**4 - 33*t**2 + 9/2*t**3 + 0. Solve c(q) = 0.
-11, 2
Let a(s) = s**3 + 10*s**2 + 7*s - 1. Suppose p + 45 = -5*n + 3*p, -n - 4*p - 9 = 0. Let h be a(n). Factor 3*c**2 - h + 25 - 11.
3*(c - 1)*(c + 1)
Let c be (4 - 45/(-27)) + 46/(-69). Let w(h) be the first derivative of 0*h - 4/5*h**c + 1/3*h**6 - 2 + 1/2*h**4 + 0*h**2 + 0*h**3. Let w(x) = 0. Calculate x.
0, 1
Let -11732*c**3 - 3*c**4 + 11708*c**3 - 398 + 42*c**2 + 1343 + 576*c = 0. Calculate c.
-7, -3, 5
Let i(b) be the first derivative of 19*b**3/3 - 31*b**2/2 + 12*b - 1742. Suppose i(v) = 0. What is v?
12/19, 1
Suppose 0 = 5*k, 2*m + 5*k - 19 = -7. Let v(w) = -4*w**2 - 3*w - 3. Let x(n) = -5*n**2 - 2*n - 5. Let y(c) = m*v(c) - 5*x(c). Determine a so that y(a) = 0.
1, 7
Suppose 0 = 582*o - 821 - 1507. Let i(j) be the third derivative of -1/40*j**o + 0*j + 1/200*j**6 + 0 + 42*j**2 + 1/100*j**5 - 1/10*j**3. Factor i(p).
3*(p - 1)*(p + 1)**2/5
Let w(h) be the second derivative of -1/630*h**5 - 21*h + 0 - 1/21*h**4 + 33/2*h**2 - 11/63*h**3. Let y(p) be the first derivative of w(p). Factor y(i).
-2*(i + 1)*(i + 11)/21
Let u(h) = 3*h**4 + h**3 - 2*h**2 + 6*h. Let f(l) = -4*l**4 - 83*l**3 + 430*l**2 - 612*l + 261. Let k(b) = -2*f(b) - 2*u(b). Determine o so that k(o) = 0.
-87, 1, 3
Let n(l) = 25*l - 120. Let t be n(5). Suppose -3*z = -t*r - 2, -6*r + 4*r - 24 = -7*z. Find c, given that 4/7*c**r - 4 - 24/7*c = 0.
-1, 7
Let g = 15 + -10. Suppose 12*w = 18 + 30. Factor -15*q**w - 15*q**3 + 9*q**4 - 4*q**4 + g*q**5.
5*q**3*(q - 3)*(q + 1)
Let o(p) = -5*p**2 + 2249*p - 6700. Let c be o(3). Solve 6 + 9/2*t + 3/4*t**c = 0 for t.
-4, -2
Determine i so that 78608/11 + 204/11*i**2 + 6936/11*i + 2/11*i**3 = 0.
-34
Let m(v) be the first derivative of 2*v**5/35 + 29*v**4/14 - 20*v**3/7 - 1408. Find s such that m(s) = 0.
-30, 0, 1
Let -198*c**3 - 32*c**4 - 3447*c**2 + 9216 - 39*c**4 - 37*c**4 - 5568*c + 105*c**4 = 0. What is c?
-32, -3, 1
Let z(l) be the first derivative of -2*l**5/5 + 4*l**4 + 88*l**3/3 + 48*l**2 - 3703. Factor z(c).
-2*c*(c - 12)*(c + 2)**2
Suppose -2*i + 2*w + 6 = 0, 