3, 1, 24
Factor 25*f - 1/5*f**5 - 42/5 + 4/5*f**4 + 36/5*f**3 - 122/5*f**2.
-(f - 7)*(f - 1)**3*(f + 6)/5
Let c(k) be the first derivative of -k**4/10 - 40*k**3/3 + 8095. Let c(w) = 0. What is w?
-100, 0
Determine j so that -81/10*j**4 + 79/10*j**3 - 8*j + 81/10*j**2 + 0 + 1/10*j**5 = 0.
-1, 0, 1, 80
Let m(v) be the second derivative of v**5/90 + 7*v**4/54 - 10*v**3/27 - 16*v**2/9 - 72*v - 6. Solve m(u) = 0.
-8, -1, 2
Suppose 0 = 3*o + 5*n - 7*n - 31, 0 = -4*n - 240 + 196. Factor 12/7*k + 16/7*k**2 + 0 - 3/7*k**o.
-k*(k - 6)*(3*k + 2)/7
Let x = -48 + 56. Solve 19*j**3 - x*j**2 - 24*j**3 - 10*j**3 - 2*j**2 + 5*j = 0.
-1, 0, 1/3
Suppose 756*d + 1601*d - 23*d**2 + 20*d**2 - 442451 + 1369*d - 714472 = 0. What is d?
621
Suppose 2*z + 2*d - 42 = 0, -5*z + 5*d - 6*d + 89 = 0. Let o be (29 - 5) + z + -14. Solve o + 6*x + 1/3*x**2 = 0 for x.
-9
Let z(s) be the third derivative of -s**7/1680 + s**6/480 + 3*s**5/40 + s**4/6 + 5*s**3/6 + 17*s**2. Let q(c) be the second derivative of z(c). Factor q(v).
-3*(v - 3)*(v + 2)/2
Let v(n) = n**3 + 221*n**2 + 903*n - 56631. Let t(f) = -2*f**3 - 666*f**2 - 2702*f + 169894. Let k(h) = -3*t(h) - 10*v(h). What is c in k(c) = 0?
-33, 13
Let h be (3/2)/(96/832) - 270/24. Determine t so that 41/2*t + h*t**2 - 6 = 0.
-12, 2/7
Let u(j) be the first derivative of j**4/4 - 22*j**3/3 + 75*j**2/2 - 54*j + 1043. What is g in u(g) = 0?
1, 3, 18
Let i be 15 + (30/(-90))/(1/3). Find c such that -60*c - 54*c + i*c - 130 - 5*c**2 + 25*c = 0.
-13, -2
Let t be ((-48)/(-9) + -7)*(1 - 10). Determine q, given that t - 36*q**2 - 9*q**3 - 19 + 30*q - 12*q**2 - 23*q**3 = 0.
-2, 1/4
Let d(z) be the first derivative of z**4/20 - z**3 + 27*z**2/5 + 372. Let d(j) = 0. Calculate j.
0, 6, 9
Let t = 9299342/9 - 1033260. Factor 8/9*q + 10/9*q**3 + t*q**4 + 16/9*q**2 + 0.
2*q*(q + 1)*(q + 2)**2/9
Suppose -7*q - 6 = -9*q. Let 3*y**q - 6*y**3 - 4*y**3 - 8*y**2 + 9*y**3 + 0*y**3 = 0. Calculate y.
0, 4
Determine n, given that 32*n + 973*n**2 + 34*n + 84*n - 971*n**2 = 0.
-75, 0
Suppose 3*i = -m + 54, m - 48 = -0*m - 5*i. Let k = m - 47. Factor 3*j**2 + 3*j**2 - k*j**4 + 3*j**2 + 4*j**4 - 3*j.
-3*j*(j + 1)*(2*j - 1)**2
Suppose 5*l = -3*j + 4*j, -4*l + 80 = -4*j. Let c = j - -25. Factor c + 0*s**2 - 1/6*s + 1/6*s**3.
s*(s - 1)*(s + 1)/6
Let f(n) = -n**3 + 3*n - 1. Let m(i) = 5*i**3 + 4*i**2 - 23*i + 11. Let d be 68/(-119) + (-9)/21. Let h(p) = d*m(p) - 3*f(p). Solve h(a) = 0 for a.
-4, 1
Suppose 6 - 11 = 7*w - 5. Let v(i) be the second derivative of w - 1/78*i**4 - 64/13*i**2 + 16/39*i**3 - 4*i. Let v(o) = 0. What is o?
8
Let c be ((-7525)/(-19350))/((-2)/(-54)). Factor 11/2 - 1/2*b**3 + 9/2*b**2 + c*b.
-(b - 11)*(b + 1)**2/2
Let p(l) be the third derivative of -2*l**2 - 1/900*l**6 - 1/180*l**4 + 0 + 1/225*l**5 + 40*l + 0*l**3. Suppose p(r) = 0. Calculate r.
0, 1
Let x(r) be the second derivative of -1/120*r**6 + 0 + 5*r**2 + 0*r**3 - 2/3*r**4 - 3*r + 2/15*r**5. Let b(d) be the first derivative of x(d). Factor b(v).
-v*(v - 4)**2
Suppose 2*d - 40 = 4*a, 68 = 5*d - a - a. Suppose -4*x + d = -l - 2*l, -x + 3 = -3*l. Factor l - 1/3*z**2 + 3/2*z**3 + 5/6*z**4 + 0*z.
z**2*(z + 2)*(5*z - 1)/6
Let c(y) be the third derivative of -y**6/420 - 109*y**5/105 - 144*y**4 - 7776*y**3/7 - 623*y**2 - 2*y. Solve c(d) = 0 for d.
-108, -2
Suppose 3*h - 5 = -2*i, 2*i + 12 = 2*h + 2. What is v in -8*v**h + 939*v**2 + 22*v + 10*v + 16 - 4*v**4 - 927*v**2 = 0?
-2, -1, 2
Let s = 731467 - 731465. Determine g, given that -2/5*g**s + 0 - 18/5*g = 0.
-9, 0
Let m(i) be the third derivative of 8*i**2 + 1/6*i**4 - 1/30*i**5 + 0*i + 0*i**3 - 5. What is t in m(t) = 0?
0, 2
Factor 17640 + 11480*a + 2548*a + 4*a**4 - 11205*a**2 + 14185*a**2 + 196*a**3.
4*(a + 2)*(a + 5)*(a + 21)**2
What is z in 246*z - 797/3*z**2 + 0 + 20*z**3 - 1/3*z**4 = 0?
0, 1, 18, 41
Let t(k) = -3*k**2 - 6*k + 28. Suppose 25 = 2*o + 67. Let v(q) = 30*q**2 + 60*q - 282. Let g(j) = o*t(j) - 2*v(j). Factor g(s).
3*(s - 2)*(s + 4)
Suppose k + 3*z + 4 = 2, -3*z - 6 = 0. Factor 25*f + 10*f**2 - 4984*f**k - 9 - 6 - 30*f**3 + 4989*f**4 + 5*f**5.
5*(f - 1)**3*(f + 1)*(f + 3)
Solve -375 + 3/5*i**3 - 153/5*i**2 + 405*i = 0.
1, 25
Let x = 602 - -52. Let c = -650 + x. Let 0 + 1/5*u**2 - 2/5*u - 1/5*u**c + 2/5*u**3 = 0. What is u?
-1, 0, 1, 2
Let a(q) be the third derivative of 5*q**6/24 - 137*q**5/12 + 64*q**4 - 150*q**3 + 814*q**2. Factor a(g).
(g - 25)*(5*g - 6)**2
Let z = 485/2 + -230. Let a(v) be the first derivative of 0*v - z*v**2 - 15*v**3 + 9 + v**5 - 15/4*v**4. Suppose a(x) = 0. Calculate x.
-1, 0, 5
Suppose -69*o + 169*o = -360*o. Let z(a) be the third derivative of o*a**3 + 0*a - 1/10*a**5 + 0 - 2*a**2 - 1/60*a**6 - 1/6*a**4. What is r in z(r) = 0?
-2, -1, 0
Suppose -111*g - 41 = -125 - 138. Let 8/5 + 8*t + 46/5*t**g + 14/5*t**3 = 0. Calculate t.
-2, -1, -2/7
Suppose 5*i - 16 = -26. Let q be ((0/(-14))/1)/((-6)/i). Find h, given that q - 3/7*h**2 - 12/7*h = 0.
-4, 0
Let n(z) be the first derivative of -212 - 14/15*z**3 - 1/20*z**4 - 6*z - 43/10*z**2. What is o in n(o) = 0?
-10, -3, -1
Find x, given that 4798/9*x**3 - 14/9*x**4 + 12996 + 32338*x - 412790/9*x**2 = 0.
-2/7, 1, 171
Suppose 256*j - 337*j**2 + 264 + 148*j**2 + 101*j**2 - 2*j**3 + 146*j**2 = 0. Calculate j.
-2, 33
Let f(p) = 18*p**2 + 53*p + 2. Let m(c) = 35*c**2 + 110*c + 5. Let h be -2*(21*(-2)/(-12) + -1). Let i(g) = h*f(g) + 2*m(g). Factor i(z).
-5*z*(4*z + 9)
Let c(b) be the second derivative of b**4/48 - 13*b**3 + 3042*b**2 - 2*b - 59. Let c(n) = 0. Calculate n.
156
Suppose 3*i = 5*y + 3 - 4, 5*y - i - 7 = 0. Let o(b) be the first derivative of 6 - 2/3*b**y + 2/27*b**3 + 2*b. Factor o(w).
2*(w - 3)**2/9
Suppose -25 = -2*m + j, 15*m + 6*j = 11*m - 6. Let k(i) be the second derivative of -5*i**2 + 0 + 5/12*i**4 + 3/4*i**5 - 5/2*i**3 - m*i + 1/6*i**6. Factor k(t).
5*(t - 1)*(t + 1)**2*(t + 2)
Let l(a) = -5*a + 17. Let p be l(3). Let j(v) = -v**2 + 5*v + 2. Let w be j(4). Factor w*n**2 + 0*n - 4*n + 0*n**p + 10*n**2.
4*n*(4*n - 1)
Let o(u) be the second derivative of 0 - 1/12*u**3 + 1/48*u**4 - 15/8*u**2 + 39*u. Let o(l) = 0. What is l?
-3, 5
Suppose 4*v - k + 16 = 20, v = -4*k - 16. Let g be -5*(-10 + (-4844)/(-490)). Solve v - g*b**3 + 12/7*b**2 + 0*b = 0 for b.
0, 3
Let w(d) = 34*d**2 + 415*d + 86. Let y be w(-12). Factor 2/7*a**y + 0 - 16/7*a.
2*a*(a - 8)/7
Let p(j) = -j**3 + 523*j**2 + 9*j - 515. Let u(d) = d**3 - 349*d**2 - 6*d + 344. Let s(k) = -5*p(k) - 8*u(k). Let s(n) = 0. Calculate n.
-1, 1, 59
Let k be (-42 - -38) + (-12)/(-2). Suppose 2*w**2 + 3*w**2 - k*w**2 - 21*w**3 = 0. Calculate w.
0, 1/7
Let h(j) be the second derivative of j**5/30 - j**4 + 20*j**3/3 + 200*j**2/3 - 1739*j. Factor h(t).
2*(t - 10)**2*(t + 2)/3
Suppose 494*b - 500*b = 72. Let f(w) = 8*w**2 + 52*w - 160. Let r(p) = -3*p**2 - 21*p + 64. Let u(k) = b*r(k) - 5*f(k). Determine a so that u(a) = 0.
-4, 2
Suppose -t - 27 = -s + 4*t, -16 = 4*t. Determine j, given that j**2 - 2*j**4 + 24*j**2 + s*j**4 + 30*j**3 = 0.
-5, -1, 0
Let r(v) be the second derivative of 5 + 0*v**2 + 0*v**3 - 1/45*v**5 - 1/135*v**6 - 8*v + 1/189*v**7 + 0*v**4. Factor r(a).
2*a**3*(a - 2)*(a + 1)/9
Let p = -2280 - -2280. Let z(s) be the third derivative of -1/180*s**5 + 0 - 11*s**2 + p*s + 0*s**4 + 0*s**3. Let z(x) = 0. What is x?
0
Let b(r) = -4*r**3 + 253*r**2 + 639*r - 26. Let v(t) = t**3 - 42*t**2 - 106*t + 4. Let x(j) = 2*b(j) + 13*v(j). Let x(c) = 0. What is c?
-2, 0, 10
Let j(s) be the third derivative of s**8/336 + s**7/35 - s**6/40 - 14*s**5/15 - 2*s**4 - 2*s**2 + 58*s. Determine w, given that j(w) = 0.
-4, -1, 0, 3
Suppose -19*o - 188 + 169 = 0. Let g(f) = f**3 + 1. Let r(i) be the second derivative of -i**5/4 - i**3/2 - 4*i**2 + i. Let l(k) = o*r(k) - 6*g(k). Factor l(d).
-(d - 2)*(d + 1)**2
Let h(r) be the second derivative of 8 - 1/21*r**7 + 1/20*r**5 + 1/10*r**6 + 1/6*r**3 - 1/4*r**4 + 2*r + 0*r**2. Suppose h(t) = 0. What is t?
-1, 0, 1/2, 1
Let s be 4*(0 + 7/14). Let b(f) be the second derivative of -1/6*f**4 - 30*f + 0*f**s + 0 + 3*f**3. Factor b(o).
-2*o*(o - 9)
Let k(v) be the first derivative of 16*v + 2/3*v**3 + 10*v**2 - 48 - 1/2*v**4. Factor k(u).
-2*(u - 4)*(u + 1)*(u + 2)
Suppose 5*c = 508 - 208. Let s be (-10)/(-12)*c/100. Suppose 3/4*x**2 + s + 5/4*x = 0. What is x?
-1, -2/3
Let d 