*c(i) - 33*t(i). Factor j(d).
3*(d + 7)**2
Factor 64*w**2 + 34 - 7 - 65*w**2 - 26*w.
-(w - 1)*(w + 27)
Find q, given that -14612418/5 - 2/5*q**2 + 10812/5*q = 0.
2703
Let -1900*p**2 - 804 + 90*p**3 - 24*p**4 + 2320*p + 468 + 370*p**3 = 0. Calculate p.
1/6, 2, 3, 14
Let k(z) = z**4 + z**3 + z**2. Let m(b) = 55*b**4 - 40*b**3 - 395*b**2. Let i(d) = 60*k(d) - m(d). Factor i(h).
5*h**2*(h + 7)*(h + 13)
Let u be 1/2*(2 - 2). Suppose 99*n - 8 = 91*n. Factor 1 + u + n - 5 + 3*f**2.
3*(f - 1)*(f + 1)
Let t(f) = -2*f**3 + 12*f**2 - 12*f - 4. Let r(m) = -m**3 + 5*m**2 + 8*m + 46. Let y be r(7). Let u be t(y). Factor u*c + 15/2*c**2 + 3/2*c**3 + 6.
3*(c + 1)*(c + 2)**2/2
Suppose -m + 324 = 4*t, -3*m + 233 + 99 = 4*t. Factor -18*k**5 + 77*k**2 - 25*k**3 - t*k**4 - 27*k**5 - 67*k**2.
-5*k**2*(k + 1)**2*(9*k - 2)
Let j(d) be the third derivative of d**7/350 + 13*d**6/200 + 57*d**5/100 + 19*d**4/8 + 5*d**3 - 250*d**2 - 2*d. Suppose j(s) = 0. Calculate s.
-5, -2, -1
Let v be (-1 + 39/12)/(27/72). Let f be (1433 + 1)/(2/v). Factor 4*o - f + 3*o**2 + 4302 - o**3.
-o*(o - 4)*(o + 1)
Let k(d) be the first derivative of -d**4/38 + 24*d**3/19 - 29*d**2/19 - 420*d/19 - 999. Factor k(f).
-2*(f - 35)*(f - 3)*(f + 2)/19
Let q = 776 + -711. Find b, given that -q*b**2 - 55 - 43*b + 9*b**3 - 92*b + 20*b - 14*b**3 = 0.
-11, -1
Suppose -3*n - 5*l + 9413 = 9473, 48 = -2*n - 4*l. What is s in 0 + n*s + 8/5*s**2 - 2*s**4 - 6/5*s**5 + 8/5*s**3 = 0?
-2, -2/3, 0, 1
Let w be -1*(-1 - (1 + 1)). Suppose -w*d + 1 = -8. Factor -5*b**d - 6 - 18*b**2 - 27*b - 6 + 0*b**3 + 2*b**3.
-3*(b + 1)**2*(b + 4)
Let h = 11552/40425 - 2/40425. Find y such that -34/7*y**2 + 0 - 20/7*y**3 - 16/7*y - h*y**4 = 0.
-8, -1, 0
Let h = 14/9535 + 122034/9535. What is t in -132/5*t + h - 4/5*t**3 + 72/5*t**2 = 0?
1, 16
Let q be -5 + -31 + 5080/140. Factor -6/7*g + q*g**2 - 20/7.
2*(g - 5)*(g + 2)/7
Let j = 1297/1056 - -37/352. Let b(s) be the first derivative of -j*s**3 + 44*s + 20*s**2 + 1. Factor b(m).
-4*(m - 11)*(m + 1)
Let b(k) be the first derivative of -k**3/3 + 5*k**2/2 - 3*k - 28. Let g be b(3). Factor -16*s**4 - 6 - 3*s**g - 2*s + 9*s**2 + 7*s**4 + 5*s + 6*s**4.
-3*(s - 1)**2*(s + 1)*(s + 2)
Suppose -40*h - t + 4 = -43*h, -21*h - 4*t + 82 = 0. Factor -75/7*f**4 + 3/7*f + 24/7*f**5 + 0 - 33/7*f**h + 81/7*f**3.
3*f*(f - 1)**3*(8*f - 1)/7
Let i(l) be the second derivative of -l**4/18 - 98*l**3/9 + 2719*l. Let i(x) = 0. What is x?
-98, 0
Let -3/8*c**2 + 9*c - 30 = 0. Calculate c.
4, 20
Let k(f) = 4*f**2 - 10*f - 2. Let o(r) = r**2 + 7*r + 11. Let d be o(-5). Let a(h) = -1 + d + h - 67*h**2 + 66*h**2. Let g(j) = 6*a(j) + k(j). Factor g(w).
-2*(w + 1)**2
Let v(j) be the first derivative of 126 - 26/15*j**3 + 1/10*j**4 + 0*j + 8*j**2. Determine u, given that v(u) = 0.
0, 5, 8
What is d in 36*d**3 - 10252 - 4224*d - 147*d**3 - 1702*d**2 + 7180 + 442*d**2 - 3*d**4 = 0?
-16, -4, -1
Let o be -1*((-28)/(-4))/(-7). Solve o + 3*k**2 + 3 - 12*k - 23*k**2 + 28*k = 0 for k.
-1/5, 1
Let c be (0 - 180/(-126))/((54/21)/3). Factor 5/3*y**4 - 5/3*y - 5/3*y**2 + 0 + c*y**3.
5*y*(y - 1)*(y + 1)**2/3
Let t be -8 - (52 + 4)/(-4) - (-8)/(-2). Factor -2/5*m**3 - 162/5 - 126/5*m - 6*m**t.
-2*(m + 3)**2*(m + 9)/5
Let t = 1 - -8. Let x(n) = 6*n**2 + 24*n - 27. Let y(a) = -2*a**2 - 1 - 5 + a**2 - a + 7. Let k(v) = t*y(v) + x(v). Factor k(i).
-3*(i - 3)*(i - 2)
Let b(x) = -x**2 + 36*x + 121. Let k be b(39). Let w = 6 + -3. Let -j + 13*j**3 + 32*j**2 - j**k - 12*j**w - 31*j**2 = 0. What is j?
-1, 0, 1
Let x(i) be the second derivative of 48 + 1/32*i**4 - i**3 + 2*i + 117/16*i**2. Determine w, given that x(w) = 0.
3, 13
Let y(u) be the first derivative of 114 - 6*u - 7/2*u**2 - 1/3*u**3. Factor y(o).
-(o + 1)*(o + 6)
Let j = 1011 - 1006. Find d, given that -5*d**4 - j*d**3 - 202*d + 207*d - 115 + 85 + 35*d**2 = 0.
-3, -1, 1, 2
Let k = 188 + -751/4. Let t = 3/4 - k. Factor 0*f**2 + t*f**4 + 3/4*f**3 + 0 - 1/4*f**5 + 0*f.
-f**3*(f - 3)*(f + 1)/4
Find z such that 3260 - 8556 + 3313 + 270*z + 200*z - 2*z**3 + 3283 + 32*z**2 = 0.
-5, 26
Let n(v) be the third derivative of -v**7/210 + v**6/60 + v**5/60 - v**4/12 + 3310*v**2. Factor n(f).
-f*(f - 2)*(f - 1)*(f + 1)
Let t be 3 - (898/330 + 1324/(-4965)). Determine v so that -8/11*v + 10/11*v**2 - t + 4/11*v**3 = 0.
-3, -1/2, 1
Let z(g) = 137*g**2 - 166*g - 159. Let o(d) = 15*d**2 + 1. Let c(p) = -18*o(p) + 2*z(p). Suppose c(t) = 0. Calculate t.
-1, 84
Let g = -30882 - -339731/11. Factor g - 1/11*p**2 + 28/11*p.
-(p - 29)*(p + 1)/11
Let x(s) = -185*s - 1999. Let z be x(-11). Factor -z*y + 6/5*y**2 + 270.
6*(y - 15)**2/5
Let g(z) be the third derivative of -z**5/15 + 21*z**4 + 512*z**3/3 - 331*z**2 + 2*z. Factor g(r).
-4*(r - 128)*(r + 2)
Let h = -9255 - -9260. Let t(d) be the first derivative of 0*d**2 - 11 - 3/2*d**4 - 3/5*d**h - 1/12*d**6 - 4/3*d**3 + 0*d. Factor t(s).
-s**2*(s + 2)**3/2
Suppose 216 = 241*r - 232*r. Find q, given that 82*q + 686*q - 2048 - 20*q**3 + r*q**3 + 120*q**2 = 0.
-16, 2
Let a(g) be the second derivative of -g**5/10 + 1055*g**4 - 4452100*g**3 + 9393931000*g**2 + 189*g - 5. Factor a(i).
-2*(i - 2110)**3
Let -36 + 15*l + 3/2*l**3 + 39/2*l**2 = 0. What is l?
-12, -2, 1
Let o = -39 + 45. Suppose 2*c = 4*c + 2*i - o, -5*c = -i - 9. Factor -12*b + 2*b**2 - 10*b**2 + 6*b**2 - b**c - 12.
-3*(b + 2)**2
Let m(k) = -21*k - 166. Let g = 400 - 408. Let n be m(g). Find i such that -5 + 15*i - 35/4*i**3 + 45/4*i**n = 0.
-1, 2/7, 2
Let g(q) be the first derivative of q**7/5880 - q**6/315 - q**5/840 + q**4/21 + 17*q**3/3 - 6*q - 61. Let k(p) be the third derivative of g(p). Factor k(o).
(o - 8)*(o - 1)*(o + 1)/7
Let g(l) = -5*l**2 + 189*l + 470. Let n(h) = -h**2 - 7*h. Let d(k) = g(k) + 3*n(k). Factor d(w).
-2*(2*w - 47)*(2*w + 5)
Suppose -2614 - 14431 = -35*w. Suppose -474*u + w*u = 39. Find m, given that 0 + 3*m - 9/2*m**2 - 3/2*m**5 + 9/2*m**4 - 3/2*m**u = 0.
-1, 0, 1, 2
Let m(x) be the second derivative of -x**5/5 - 34*x**4 + 2*x**3/3 + 204*x**2 - x + 67. Determine l, given that m(l) = 0.
-102, -1, 1
Let h be ((-45)/50 - (-36009)/810)*600/14. Factor -52/3*l**4 - 2/3*l**5 + 160/3*l**2 - 368/3*l**3 - 8000/3 + h*l.
-2*(l - 2)**2*(l + 10)**3/3
Let c(h) be the third derivative of -3*h**5/50 - 133*h**4/60 + 2*h**3 + 1175*h**2. Factor c(w).
-2*(w + 15)*(9*w - 2)/5
Let k(c) = -c**4 - 4*c**3 + 10*c**2 - 14*c + 2. Let y(u) = 4*u**4 + 18*u**3 - 39*u**2 + 55*u - 9. Let x(z) = -9*k(z) - 2*y(z). Factor x(t).
t*(t - 2)**2*(t + 4)
Suppose -36360*j - 22 = -36361*j. Let t(c) be the third derivative of 0 + j*c**2 - 1/3*c**3 - 1/180*c**5 + 0*c + 5/72*c**4. Solve t(h) = 0.
2, 3
Suppose 5*t - 2*u = 120, -t + 5*u = -11 - 36. Let m be 1*(11/t + (-1)/2). Determine x so that m - 3/7*x**2 - 3/7*x = 0.
-1, 0
Let o(a) be the third derivative of a**6/24 - 17*a**5/12 - 2166*a**2. Let o(n) = 0. Calculate n.
0, 17
Let j(p) be the second derivative of 7*p**4/24 - 541*p**3/12 + 77*p**2/2 - 1857*p. Factor j(t).
(t - 77)*(7*t - 2)/2
Let f(g) be the third derivative of 42*g + 1/15*g**5 - 1/28*g**8 - 1/6*g**6 + 0*g**3 + 0 + 2/15*g**7 - g**2 + 0*g**4. Factor f(m).
-4*m**2*(m - 1)**2*(3*m - 1)
Let b(f) be the first derivative of 0*f + 26/45*f**3 - 4/5*f**2 - 1/30*f**4 + 73. Factor b(i).
-2*i*(i - 12)*(i - 1)/15
Factor -63*a**3 + 62*a**3 + 34*a**2 + 17*a**2 + 51*a**2 - 2704*a + 2*a**2.
-a*(a - 52)**2
Suppose -2*n - 2*t = -2, 3*n - 1 - 17 = 2*t. Factor -494*m**3 + 4*m**2 + 0*m + 2*m**4 - 6*m**n + 498*m**3 - 4*m.
-4*m*(m - 1)**2*(m + 1)
Let c be (54/135)/((-4)/7678). Let a = c + 775. What is b in -4/5*b**3 - 12/5*b + a - 4*b**2 = 0?
-3, 1
Let h = 64668 - 646669/10. Let 1/10*q**4 + 0 + 0*q + h*q**2 + 6/5*q**3 = 0. What is q?
-11, -1, 0
Let u(y) be the third derivative of 1/60*y**5 + 5/2*y**3 - 7*y**2 + 0 - 2*y + 2/3*y**4. Factor u(r).
(r + 1)*(r + 15)
Let q = -481 - -481. Let i(t) = -t**2 + 30*t + 402. Let y be i(-10). Determine m, given that 51/5*m**4 - 27/5*m**5 + q + 4/5*m**y + 0*m - 28/5*m**3 = 0.
0, 2/9, 2/3, 1
Let a(g) be the first derivative of 4*g**3/3 - 208*g**2 + 412*g + 4131. Factor a(s).
4*(s - 103)*(s - 1)
Let p(a) be the first derivative of -2*a**3/33 - 84*a**2/11 - 166*a/11 + 1703. Factor p(s).
-2*(s + 1)*(s + 83)/11
Let h(v) be the second derivative of 0*v**2 + 0*v**5 + 0*v**3 + 0 - 1/6*v**6 + 5/12*v**