uppose 11 = -2*f + t. Factor -84*o**f + 21*o**4 + 27*o**3 + 75*o**2 + 21*o - 69*o - 5 + 17 - 3*o**5.
-3*(o - 2)**2*(o - 1)**3
Factor 44 + 35/3*w**2 + 134/3*w + 1/6*w**3.
(w + 2)**2*(w + 66)/6
Let l(i) be the third derivative of i**6/30 + 4*i**5/3 + 19*i**4/6 - 4509*i**2. Factor l(o).
4*o*(o + 1)*(o + 19)
Let o(i) be the first derivative of 3*i**6/20 - 23*i**5/10 + 59*i**4/20 + 176*i**3/3 + 96*i**2/5 - 7144. Determine n so that o(n) = 0.
-3, -2/9, 0, 8
Let x(b) be the third derivative of b**7/420 - 9*b**5/40 + 25*b**4/24 - 2*b**3 + 2*b**2 + 5442. What is m in x(m) = 0?
-6, 1, 4
Let l be (-57)/(-133)*(1 - -6). Suppose 1 + 24*b**2 - 1 + 34*b - 55*b - 3*b**l = 0. Calculate b.
0, 1, 7
Find q, given that -296/11*q + 2/11*q**2 - 1216/11 = 0.
-4, 152
Let g(t) be the second derivative of -2 + 0*t**2 - 2*t + 1/20*t**5 + 1/6*t**3 - 1/6*t**4. Factor g(i).
i*(i - 1)**2
Factor 1402/7*o - 200 - 2/7*o**2.
-2*(o - 700)*(o - 1)/7
Let y(c) = -14*c - 156. Let k be y(-13). Find u, given that -46*u**2 + 169 + k*u**2 + 21*u**2 - u - 6*u - 19*u = 0.
13
Let d(j) be the first derivative of 9/14*j**4 - 58 - 2/35*j**5 - 36/7*j - 25/7*j**2 + 2/7*j**3. Determine m so that d(m) = 0.
-1, 2, 9
Let r = -428 - -430. Find z such that 359*z**3 - 357*z**3 + 2*z - 10*z**r - 2*z = 0.
0, 5
Let f(k) be the second derivative of 2/3*k**6 + 3/2*k**5 - 5/42*k**7 - 30*k**2 + 58*k + 175/6*k**3 + 2 - 40/3*k**4. Factor f(n).
-5*(n - 4)*(n - 1)**3*(n + 3)
Let f(a) be the first derivative of 0*a**2 + 1/360*a**6 - 5*a**3 - 14 - 1/120*a**5 - 1/12*a**4 + 0*a. Let b(g) be the third derivative of f(g). Factor b(y).
(y - 2)*(y + 1)
Let v be (3 - 27/9)/(4/(-2)). Let u be v/(-2)*6/(-96)*8. Factor -1/2*k**5 + 0*k**2 + 0*k**3 + u*k**4 + 0*k + 0.
-k**5/2
Suppose 4*j - 9 = -2*g + 15, j + 5*g - 15 = 0. Factor t**5 + 41*t**4 + t**j - 45*t**4.
2*t**4*(t - 2)
Let a(s) be the third derivative of -s**6/360 + 239*s**5/180 + 181*s**4/18 + 242*s**3/9 + 3541*s**2. Find v, given that a(v) = 0.
-2, -1, 242
Factor -2/15*h**2 + 344/3*h - 73960/3.
-2*(h - 430)**2/15
Let y be ((-6)/(-6))/(85/(1785/252)). Determine z so that 17/12 + y*z**3 + 19/12*z**2 + 35/12*z = 0.
-17, -1
Find r, given that 2/7*r**5 - 16*r**2 + 18/7*r**3 - 104/7*r + 0 + 4*r**4 = 0.
-13, -2, -1, 0, 2
Let g(l) = -3*l**4 + 6*l**3 + 36*l**2 - 125*l + 91. Let m(a) = -15*a**4 + 30*a**3 + 180*a**2 - 624*a + 456. Let r(u) = -24*g(u) + 5*m(u). Solve r(o) = 0.
-4, 2
Suppose 18*v + 315 = 81*v. Let b(n) be the third derivative of -1/75*n**v + 1/15*n**4 + 25*n**2 + 0*n**3 + 0 + 0*n. Factor b(r).
-4*r*(r - 2)/5
Let x(t) be the third derivative of -t**8/252 - 8*t**7/315 + 2*t**6/5 + 154*t**5/45 - 35*t**4/18 - 100*t**3/3 - t**2 - 154*t + 1. Let x(c) = 0. Calculate c.
-5, -1, 1, 6
Let d(a) = -9*a**2 + 246*a + 259. Let w(k) = 80*k**2 - 2215*k - 2330. Let o(z) = 35*d(z) + 4*w(z). Factor o(u).
5*(u - 51)*(u + 1)
Factor 58*q**2 + 472*q + 445 + q**3 - 158 + q**3 + 441.
2*(q + 2)*(q + 13)*(q + 14)
Let c(b) be the third derivative of 2/315*b**7 - 180*b**2 - 7/18*b**4 + 0 + 1/5*b**5 - 20/9*b**3 + 7/90*b**6 + 0*b. Suppose c(p) = 0. What is p?
-5, -2, -1, 1
Let w(d) be the third derivative of -4*d**5/105 - 15*d**4/28 - 52*d**3/21 + 1913*d**2 + 1. Let w(n) = 0. Calculate n.
-4, -13/8
Let q = -30179/2 + 15094. Factor 1/4*s**2 + 3/4*s - q.
(s - 3)*(s + 6)/4
Let y(k) be the first derivative of 16*k**6 + 4*k**5 - 220*k**4 - 580*k**3/3 + 600*k**2 + 432*k + 4099. Find s, given that y(s) = 0.
-2, -1/3, 9/8, 3
Let n(z) = 5*z**2 + 6*z + 7. Suppose 12 = 7*k - 9. Let b(v) = k*v - 16 + v**2 + 2*v + 22 + 3*v**2. Let m(y) = -6*b(y) + 5*n(y). Let m(f) = 0. What is f?
-1, 1
Let a(g) = 26*g**4 + 4*g**3 - 38*g**2 + 2*g. Let t(k) = 3*k**4 + k**3 - k**2 - k. Let j(d) = -a(d) + 6*t(d). Factor j(h).
-2*h*(h - 2)*(h + 2)*(4*h - 1)
Let a be 150/60*(2/8)/(3/4). Let d(j) be the second derivative of -j - a*j**2 + 1/60*j**5 - 7/36*j**4 + 11/18*j**3 + 0. Find l, given that d(l) = 0.
1, 5
Let f(r) = -r**3 - 2*r**2 + r - 4. Let l(v) = 9*v**3 + 66*v**2 - 414*v + 600. Let q(s) = -6*f(s) - l(s). Find j, given that q(j) = 0.
-24, 2, 4
Suppose 0 + 127/4*a**2 + 1/4*a**3 + 63/2*a = 0. What is a?
-126, -1, 0
Suppose 12*w = 29*w - 85. Let a(h) be the third derivative of 1/240*h**w - h**2 + 0*h**3 + 0*h**4 + 0*h + 0. What is n in a(n) = 0?
0
Let d(z) = 6*z**2 + 9*z - 10. Suppose 4*v + 8 = -4*w, 2*v - w + 8 = -8. Let j(r) = 7*r**2 + 9*r - 10. Let k(a) = v*d(a) + 5*j(a). Factor k(p).
-(p - 1)*(p + 10)
Let n(m) be the first derivative of 0*m + 1/22*m**4 + 50 + 1/11*m**2 + 4/33*m**3. Factor n(o).
2*o*(o + 1)**2/11
Let t(a) be the third derivative of 2/3*a**3 - 2/105*a**7 + 0*a + 56*a**2 + 1/3*a**4 + 0*a**5 + 0 - 1/15*a**6. Factor t(z).
-4*(z - 1)*(z + 1)**3
Let c = -1/67176 - -1074823/470232. Solve 4/7*t**4 - c*t**3 + 0*t - 20/7*t**2 + 0 = 0.
-1, 0, 5
Let o be (-18)/(-39) + 54/(-117). Let f(x) be the first derivative of o*x + 0*x**3 + 10 - 1/20*x**5 + 0*x**2 + 1/8*x**4. Suppose f(m) = 0. Calculate m.
0, 2
Suppose -14*q**4 - 25*q**5 + 145*q**4 - 1716*q**2 - 410*q**3 + 84*q**4 + 1816*q**2 + 120*q = 0. Calculate q.
-2/5, 0, 1, 2, 6
Let h be 3/(-1 - 0) - (7*(-1750)/245 + 45). Factor 2/17*m**h + 8/17 + 8/17*m.
2*(m + 2)**2/17
Factor -2/7*z**2 + 38/7*z - 120/7.
-2*(z - 15)*(z - 4)/7
Let s(h) = h**3 + h**2. Let r(v) = 2*v**5 - 2*v**4 - 3*v**3 - 3*v**2. Let i be (-2 + 4)/(30/(-45)). Let o(d) = i*s(d) - r(d). What is b in o(b) = 0?
0, 1
Let g(u) = 113*u - 1015. Let o be g(9). Let s be (2/3)/((-1)/(-3)). Factor 0*a**o + s*a - 4*a - 3*a**2 - a.
-3*a*(a + 1)
Let p(j) be the first derivative of 57 + 1/6*j**2 + 1/12*j**4 - 4/9*j**3 + 2*j. Factor p(t).
(t - 3)*(t - 2)*(t + 1)/3
Let b be 3/(-9) - (7 - 895/(-150)). Let s = b + 139/10. Solve -s*c**3 - 6/5 - 12/5*c**2 - 3*c = 0 for c.
-2, -1
Let w(y) be the third derivative of y**6/180 + y**5/10 - 7*y**4/12 + 8*y**3/3 + 18*y**2 + 1. Let n(l) be the first derivative of w(l). Factor n(m).
2*(m - 1)*(m + 7)
Let s(h) be the first derivative of -2/57*h**3 - 20 + 2/19*h**2 - 2/19*h. Solve s(v) = 0 for v.
1
Let k = 8283 + -8279. Let n(w) = -w**2 - 2*w + 4. Let r(i) = 2*i**2 + i - 5. Let j = -12 + 17. Let p(c) = j*n(c) + k*r(c). Factor p(f).
3*f*(f - 2)
Let m(h) be the third derivative of -5*h**8/336 + 13*h**7/42 - 23*h**6/12 - 5*h**5/6 + 875*h**4/24 + 625*h**3/6 + 169*h**2. Determine w so that m(w) = 0.
-1, 5
Solve -100 - 1/3*i**2 - 103/3*i = 0.
-100, -3
Let o be 0 - 0*(-8)/(-16). Suppose o = 10*c - 0*c - 20. Factor 0 - 4/5*d - 1/5*d**4 + 4/5*d**c + 1/5*d**3.
-d*(d - 2)*(d - 1)*(d + 2)/5
Let j be 62 + -10 - (1 + 10/(-2)). Factor -1274*d - 306*d**2 - 86*d**3 + 54*d**4 - j + 1038*d + 5*d**3.
(2*d - 7)*(3*d + 2)**3
Let k = -51 - -76. Let h = -26 + k. Let b(i) = -i + 1. Let x(n) = 4*n**2 + 21*n + 3. Let s(z) = h*x(z) + 3*b(z). Factor s(f).
-4*f*(f + 6)
Determine y, given that -2/5*y**2 + 1468/5*y - 269378/5 = 0.
367
Suppose 0 = -5*o + 5*p - 65, 0 + 6 = 2*p. Let q be 1144 - 4*(8 + o). Determine i so that -1728 - 4/3*i**4 - 32*i**3 - q*i - 288*i**2 = 0.
-6
Let f be ((-4)/2)/(29 + -9)*(57456/19)/(-36). Suppose 3/5*x**3 + f*x**2 + 15*x + 36/5 = 0. Calculate x.
-12, -1
Let k(z) be the second derivative of -z**4/42 - 822*z**3/7 - 1520289*z**2/7 - 2*z + 300. Factor k(b).
-2*(b + 1233)**2/7
Let l = -324 - -421. Suppose -118*d - 9*d**3 + l*d + 12*d**3 + 18*d**2 = 0. What is d?
-7, 0, 1
Let i(f) be the second derivative of -4*f**7/21 - 38*f**6/5 - 132*f**5/5 + 3980*f**4/3 - 5568*f**3 - 10368*f**2 - 5174*f. Find c such that i(c) = 0.
-18, -1/2, 4
Find a such that 212/3*a + 144 - 2/3*a**2 = 0.
-2, 108
Suppose 10/3 + 2/9*w**2 + 32/9*w = 0. Calculate w.
-15, -1
Let q(x) be the second derivative of 1/66*x**4 + 0 + 39/11*x**2 - 238*x - 16/33*x**3. Find p, given that q(p) = 0.
3, 13
Let g(w) be the third derivative of 0*w**4 + 0*w**6 - 1/1260*w**7 + 0*w**5 + 18*w**2 + 0*w + 0*w**3 + 1 - 1/2016*w**8. Factor g(l).
-l**4*(l + 1)/6
Suppose -2*f = -5*d + 84 + 105, -f = -3*d + 113. Let n = d + -32. Factor 2*g - 20*g**2 + n + 5 - 6.
-2*(2*g - 1)*(5*g + 2)
Suppose 3*k - 157*f = -152*f + 24, -43*f - 117 = 4*k. Find s such that 32/9 - 14/9*s**4 - 2/9*s**5 - 16/9*s**2 - 32/9*s**k + 32/9*s = 0.
-2, 1
Let s(i) = -i**2 - 132*i - 4129. Let h be s(-51). Suppose 3/7*g**3 - 48/7*g**h - 42 + 33*g = 0. What is g?
2, 7
Let r be 30/24 - 