s**4/42 - 290*s**3/7 + 7090*s. Factor p(z).
2*z*(z - 6)*(z + 5)*(z + 29)/7
Factor -126/11*m + 162/11 - 2/11*m**3 - 34/11*m**2.
-2*(m - 1)*(m + 9)**2/11
Let s be 29 - 1*(9 - 4). Solve -28*b**2 + 3 + 5*b**4 - 3 + s*b**3 - b**4 = 0.
-7, 0, 1
Suppose 5265/4*v - 12393/2 - 63*v**2 - 3/4*v**3 = 0. What is v?
-102, 9
Let f(g) = -4*g**2 + 9*g + 64. Let i be f(6). Let a be -1 + ((-162)/i - 4). Find r such that 12/13 + a*r**2 - 2*r - 2/13*r**3 = 0.
1, 6
Factor -19/5*t**2 + 6/5 - 11*t.
-(t + 3)*(19*t - 2)/5
Let m(l) = 3*l**2 - 11918*l - 7092397. Let z(y) = 17*y**2 - 59592*y - 35461983. Let w(c) = 21*m(c) - 4*z(c). Let w(b) = 0. What is b?
-1191
Let v(w) = w**3 + 97*w**2 + 37*w + 13234. Let u be v(-98). Let 147/5*o**u - 42*o**3 - 156/5*o**2 - 24/5*o + 0 = 0. Calculate o.
-2/7, 0, 2
Let w(y) = 8*y**2 + 20*y + 35. Let p be w(-7). Let b = p - 285. Solve -5/2*t + 0 + 1/2*t**b = 0 for t.
0, 5
Let x(u) be the first derivative of -2*u**3/9 - 2836*u**2/3 - 4021448*u/3 + 1768. Factor x(h).
-2*(h + 1418)**2/3
Let k be (12/(-24))/((3/(-4))/3). Let f = 6 - 2. Determine q, given that q**2 + 5*q + f - 6*q**k + 6*q**2 = 0.
-4, -1
Let z = 1032 + -1032. Let j(g) be the second derivative of z*g**2 + 0*g**3 + 1/20*g**5 + 10*g + 1/12*g**4 + 0. Suppose j(m) = 0. Calculate m.
-1, 0
Let l(k) = -k**2 + 138*k - 122. Suppose 9*p + 35 = -10. Let g(j) = 3*j**2 - 483*j + 426. Let x(r) = p*g(r) - 18*l(r). Solve x(s) = 0 for s.
1, 22
Suppose 0 = g + 3*g. Suppose g = 5*v - 7*v + 224. Solve -21*c**5 + v*c - 9*c**3 + 6*c**2 - 112*c - 36*c**4 = 0 for c.
-1, 0, 2/7
Let h be ((-27)/51)/((-240)/3400). Determine j, given that 0*j - 5/4*j**4 - h*j**2 + 25/4*j**3 + 0 = 0.
0, 2, 3
Suppose 0 = 103*z - 102*z - 5, -2*z + 10 = 3*c. Factor -18/5*b + 3/5*b**3 + 3*b**2 + c.
3*b*(b - 1)*(b + 6)/5
Factor -3/2*t**3 + 0 - 492*t + 147/2*t**2.
-3*t*(t - 41)*(t - 8)/2
Suppose 0 = -5*p + 2*z + 18, z - 26 = -3*p + 6*z. Suppose -10*j**2 - 28*j + p*j**3 + 2*j**2 - 26*j + 54*j = 0. Calculate j.
0, 4
Factor 0*m - 36/7*m**3 - 2/7*m**4 - 90/7*m**2 + 0.
-2*m**2*(m + 3)*(m + 15)/7
Let l = -1964 - -324058/165. Let v = l - -1493/660. Determine n so that 25/4*n**2 - 1 - 3*n - v*n**3 = 0.
-2/9, 1, 2
Let b(j) be the second derivative of j**5/45 - 35*j**4/108 - 2*j**3/9 + 3*j**2/2 + 1519*j - 2. Suppose b(a) = 0. Calculate a.
-1, 3/4, 9
Let i(w) be the second derivative of 1/12*w**4 + 5*w**3 - 15*w + 29/2*w**2 + 0. What is a in i(a) = 0?
-29, -1
Let a(w) be the second derivative of 0 + 7/90*w**6 - 23/60*w**5 + 5/9*w**4 + 32*w - 2/9*w**3 + 0*w**2. Factor a(m).
m*(m - 2)*(m - 1)*(7*m - 2)/3
Let n = 582 - 580. Factor -9*l**2 - 37*l - 31 + 19*l**n - 6*l**2 + 5*l - 5*l**2.
-(l + 1)*(l + 31)
Factor 2/11*y**4 + 0*y + 4/11*y**3 + 0 + 2/11*y**2.
2*y**2*(y + 1)**2/11
Determine m, given that 100*m**3 + 564 + 6036 + 860*m - 638*m**4 - 1036*m**2 + 642*m**4 = 0.
-33, -2, 5
Let x = 116 + -128. Let d be 200/(-300) + 1 + 2/x. Determine m so that 0*m + d*m**3 + 0 - 1/3*m**4 + 0*m**2 + 1/6*m**5 = 0.
0, 1
Let b = 26021 - 182132/7. Suppose -16/7 + 1/7*t**2 - b*t = 0. Calculate t.
-1, 16
Let c = -43 - -53. Let m(w) = -8*w**2 - w**2 + c - 3*w - 7 + 18. Let h(y) = -y**3 - y**2 - 1. Let n(u) = -3*h(u) - m(u). Factor n(x).
3*(x - 1)*(x + 2)*(x + 3)
Let g(a) = -49*a**2 - 12643*a - 258. Let y be g(-258). Determine x, given that 0*x + y - 1/8*x**2 + 1/8*x**3 = 0.
0, 1
Let v(j) be the third derivative of 0*j + 1/84*j**7 + 1/60*j**6 + 1/672*j**8 + 0*j**5 + 0*j**4 - 2*j**2 + 0*j**3 + 2. Factor v(h).
h**3*(h + 1)*(h + 4)/2
Let w be ((-1)/(-2))/(238/(-120) - -2). Let r = 56 - w. Let -5*s**2 + s**2 - 18 + r - 4*s = 0. Calculate s.
-2, 1
Let f(g) be the first derivative of -g**8/5040 - g**7/90 + g**6/1080 + 7*g**5/90 - g**3 + 25*g + 13. Let v(w) be the third derivative of f(w). Factor v(d).
-d*(d - 1)*(d + 1)*(d + 28)/3
Let o be -2 + 15 - 17313/1393. Let v = 1278/7 - 182. What is w in o - v*w**2 - 4/7*w + 4/7*w**3 = 0?
-1, 1
Let t(v) be the third derivative of v**7/210 - v**6/90 - v**5/15 + 9*v**3/2 + v**2 + 99. Let y(j) be the first derivative of t(j). Factor y(f).
4*f*(f - 2)*(f + 1)
Suppose 4*k = -4*u + 64, 44*k + 2*u = 46*k + 24. Solve -8/5*s + 1/5*s**k + 0 = 0.
0, 8
Let q be 10*(720/(-72) - 312/(-30)). Determine u so that -2*u**3 - 124/13*u**2 - 2/13*u**q - 256/13*u - 192/13 = 0.
-4, -3, -2
Let w be 2/33*2898/483. Let -w*u - 24/11*u**3 + 8/11*u**4 + 0 + 18/11*u**2 = 0. What is u?
0, 1/2, 2
Let h(f) = -f**3 + 36*f**2 - 34*f - 30. Let i be h(35). Let j be 8/i + 1480/75. Determine r, given that 20/9*r - 16/9 + j*r**2 - 245/9*r**3 + 49/9*r**4 = 0.
-2/7, 2/7, 1, 4
Let u(r) be the first derivative of 4*r**5/5 + r**4 - 16*r**3 - 56*r**2 - 64*r + 1452. Factor u(v).
4*(v - 4)*(v + 1)*(v + 2)**2
Suppose -8*k + 8 = 16. Let b(y) = 5*y**3 - 80*y**2 + 75*y + 5. Let n(j) = -j**2 + j + 1. Let h(v) = k*b(v) + 5*n(v). Find a such that h(a) = 0.
0, 1, 14
Suppose -4*n = c - 925, 8*n - 12*n = -4. Let v = c + -2758/3. Determine k, given that -4/3*k**4 + 0 + 0*k - 1/3*k**5 - 2/3*k**2 - v*k**3 = 0.
-2, -1, 0
Suppose 133 + 76 = 57*u + 38. Let w(z) be the third derivative of 1/72*z**4 + 1/27*z**u + 0*z + 1/540*z**5 - 28*z**2 + 0. Factor w(x).
(x + 1)*(x + 2)/9
Let m(l) = 7*l - 51. Let t be m(9). Factor 24 - 32*h**2 - 14 - 24*h**3 + 4*h**5 - t*h - 10.
4*h*(h - 3)*(h + 1)**3
Let n(p) = p**3 - p**2 + 2*p + 1. Let z(q) = 10 + 20*q - 14*q**2 + 8*q**3 + 4*q + 30*q**2 - 28*q**2. Let j(y) = -10*n(y) + z(y). Suppose j(x) = 0. What is x?
-2, 0, 1
Let y = 617 + -612. Find v such that -2*v - 4535*v**y + 2265*v**5 + v**3 + 3*v**4 - 3*v**2 + 2271*v**5 = 0.
-2, -1, 0, 1
Let n(p) = p**2 + p. Suppose 3*g - 15 = 156. Let d = 56 - g. Let i(z) = -8*z**2 - 12*z. Let b(w) = d*i(w) - 6*n(w). Factor b(s).
2*s*(s + 3)
Let y(q) be the third derivative of q**5/12 - 1325*q**4/12 + 351125*q**3/6 - 5554*q**2. Factor y(j).
5*(j - 265)**2
Determine z so that 5124/11*z**3 - 1998/11*z**2 - 2424/11*z - 408/11 - 294/11*z**4 = 0.
-2/7, 1, 17
Suppose -60 - 33/5*l**2 + 1656/5*l = 0. What is l?
2/11, 50
Let v = 4069 - 20329/5. Let n(i) be the first derivative of 8*i**3 + 2*i**2 - 8*i - 3 + 2*i**6 - 4*i**4 - v*i**5. Factor n(g).
4*(g - 1)**3*(g + 1)*(3*g + 2)
Let d(z) be the first derivative of -71/11*z**2 + 48/11*z - 160 - 2/11*z**3. Factor d(l).
-2*(l + 24)*(3*l - 1)/11
Suppose 15 = -6*q - 39. Let y(l) = -l**3 - 8*l**2 + 8*l - 5. Let v be y(q). What is p in -4*p**5 - 3*p**v + 4*p**4 - 7*p**4 + 2*p**4 = 0?
-1, 0
Let i be ((-6)/(-15))/1 + (-16)/40. Solve -5*h**2 + 33*h**3 - 38*h**3 + i*h**2 - 5*h**2 = 0 for h.
-2, 0
Let k be (4/5)/((-30)/(-150)). Let d = 17/141 - -389/282. Factor -3/2*b**k - 3/2*b + 1 + 7/2*b**3 - d*b**2.
-(b - 1)**3*(3*b + 2)/2
Let g(k) be the first derivative of k**3/12 - 975*k**2/8 - 244*k + 3437. Suppose g(l) = 0. What is l?
-1, 976
Factor 1/3*j**2 + 988428 - 1148*j.
(j - 1722)**2/3
Let z = -30/12887 + 26164/167531. Find d such that 4/13*d - z*d**2 + 16/13 = 0.
-2, 4
Suppose 0 = 83*p - 118 - 297. Let k(r) be the third derivative of 2/9*r**3 + 1/36*r**4 - 1/90*r**p + 0 + 0*r + 14*r**2. Factor k(l).
-2*(l - 2)*(l + 1)/3
Let k(f) be the second derivative of -f**9/3024 + f**8/840 - 2*f**7/1575 - 97*f**4/12 - 2*f + 35. Let d(w) be the third derivative of k(w). Factor d(o).
-o**2*(5*o - 4)**2/5
Determine v, given that -5091*v**2 + 400 + 4616*v - 75/4*v**5 - 3686*v**3 - 2431/4*v**4 = 0.
-25, -4, -2/25, 2/3
Let o(p) be the third derivative of -19 - 85/24*p**4 - 1445/6*p**3 + 0*p + p**2 - 1/48*p**5. Factor o(u).
-5*(u + 34)**2/4
Factor s**3 - 116*s**2 + 47*s**2 - 2*s**3 + 52*s + 27*s**2 - 9*s**2.
-s*(s - 1)*(s + 52)
Let y be 1 - 15/6*(-8)/10. Let t = 130 - 126. Suppose 5/8*b**y - 1/8*b**t + 0 + 1/2*b - b**2 = 0. Calculate b.
0, 1, 2
Let o be 5 + 4 - (-6 + -4). Suppose -c - 5*p - 2 = -o, -p + 1 = -c. Factor 2/13*a + 4/13*a**c + 2/13*a**3 + 0.
2*a*(a + 1)**2/13
Let g be 3/(-1)*2/(-1). Let l(j) = -9*j**4 - 3*j**3. Let a(x) = x**2 + 7*x**4 + 5*x**4 - 4*x**4 + 4*x**3 + 2*x**4. Let v(s) = g*a(s) + 7*l(s). Solve v(q) = 0.
-1, 0, 2
Let n(b) be the first derivative of 4/21*b**3 - 6*b**2 + 0*b - 74. Factor n(t).
4*t*(t - 21)/7
Let c(g) be the first derivative of 2*g**3/51 + 16*g**2/17 + 78*g/17 - 368. Factor c(u).
2*(u + 3)*(u + 13)/17
Let u(f) = 8*f**2 + 10*f - 1. Let v(l) = 27*l**2 - 4*l - 67. Let k(m) = 12*u(m) - 