 of -s*t**4 + 0*t**2 + 0*t - 1/3*t**3 + 16 - 1/10*t**5. Factor q(c).
-c**2*(c + 1)*(c + 2)/2
Suppose 40*o = -49 - 231. Let l be (-32)/(-56) - (-2)/o. Factor l*a + 1/7 - 3/7*a**2.
-(a - 1)*(3*a + 1)/7
Let t(f) = 2*f**4 + 4*f**3 - 6*f**2 + 4*f + 2. Let y(o) = 3*o**4 + 4*o**3 - 6*o**2 + 4*o + 3. Suppose -33 = 7*c - 54. Let q(h) = c*y(h) - 4*t(h). Factor q(b).
(b - 1)**4
Let j(i) be the second derivative of -i**4/108 - 211*i**3/54 + 42*i - 70. Factor j(z).
-z*(z + 211)/9
Suppose -1 = 5*x + 4*n, -3*x = -24*n + 25*n - 5. Let m(b) be the second derivative of -1/45*b**x + 0*b**2 + 34*b - 1/30*b**4 + 0. Factor m(h).
-2*h*(3*h + 1)/15
Let z(d) be the first derivative of 7*d**6/3 + 234*d**5/5 + 463*d**4/2 + 162*d**3 - 110*d**2 - 6599. Determine o so that z(o) = 0.
-11, -5, -1, 0, 2/7
Suppose -5*n + 23 = q - 0*n, -3*q + 25 = 4*n. Factor 12*v**3 - 8*v**q - 12*v**2 + 3*v**2 - 7*v**3 - 6*v.
-3*v*(v + 1)*(v + 2)
Let c(z) be the first derivative of -z**3/3 + 20*z**2 - 400*z + 2207. Find d, given that c(d) = 0.
20
Let r(a) be the first derivative of -a**6/10 + 13*a**5/25 + 11*a**4/4 + a**3 - 26*a**2/5 - 28*a/5 - 1549. Suppose r(t) = 0. What is t?
-2, -1, -2/3, 1, 7
Let n = 4916 - 4899. Let t(u) be the first derivative of 9/2*u**2 - 3/4*u**4 + n - 54*u + 4*u**3. Suppose t(o) = 0. Calculate o.
-2, 3
Let s = 65 - 17. Factor s*f**2 + 52*f**2 - 97*f**2 - 27.
3*(f - 3)*(f + 3)
Suppose 3 = -n + 3*k, -2937*k - 14 = -2*n - 2935*k. Find i such that -18/5 - 10*i**2 + n*i = 0.
3/5
Let y(x) be the third derivative of x**6/480 - 47*x**5/240 - 49*x**4/48 - 1001*x**2. Factor y(w).
w*(w - 49)*(w + 2)/4
Let d(h) = -h**2 + 4*h + 119. Let r be d(-9). Factor -27*n - 21*n**2 - 15*n**2 - 22*n**2 - 17*n**r + 72*n**2.
-3*n*(n + 9)
Solve -2*l**2 + 1/5*l**3 + 33/5*l - 36/5 = 0.
3, 4
Let b(h) = 4*h**2 + 14*h - 1. Let f(n) = -n**4 + 78*n**3 - 260*n**2 + 114*n - 67. Let y(g) = 24*b(g) + 3*f(g). Factor y(t).
-3*(t - 75)*(t - 1)**3
Let y be ((-17)/15 + 18/60)/((-4)/24). Determine j, given that -3/2 + 3/2*j - 3*j**3 + 3/2*j**y + 3*j**2 - 3/2*j**4 = 0.
-1, 1
Let d(h) = h**3 + 8*h**2 - 6*h + 29. Let x be d(-9). Suppose 3*c + 3 = -j - x*j, -3 = j. Factor -6*s - 2 - 2*s**c - 7 - 11 + 16.
-2*(s + 1)*(s + 2)
Let n(s) be the third derivative of -227*s + 0 - 7/15*s**5 - 17/12*s**4 - 2*s**3 - s**2 - 1/20*s**6. Factor n(v).
-2*(v + 1)*(v + 3)*(3*v + 2)
Suppose 0 = -4*u + 4*o + 28, u - 18 = -2*u + 2*o. Suppose 3*z - 6*q = -5*q + 11, 0 = -2*q - u. Factor 12*l**2 + 15*l**3 + z*l**4 - 322*l + 322*l.
3*l**2*(l + 1)*(l + 4)
Let z(y) be the first derivative of -16*y**5/15 - 42*y**4 - 1625*y**3/9 - 269*y**2 - 168*y + 151. What is r in z(r) = 0?
-28, -2, -3/4
Factor 141*c + 107/2*c**2 + 7/2*c**3 + 36.
(c + 3)*(c + 12)*(7*c + 2)/2
Let t = 4652623/114 + -40812. Let p = t - -1/57. Factor -5/2*j**4 - 3/2*j**2 + p*j**5 + 0 + 7/2*j**3 + 0*j.
j**2*(j - 3)*(j - 1)**2/2
Let f(y) be the first derivative of -7/12*y**4 + 1/30*y**5 + 2*y**2 + 2*y**3 + 24 + 0*y. Let m(v) be the second derivative of f(v). Factor m(i).
2*(i - 6)*(i - 1)
Let n = 150055 + -150051. Let -8/11*u + 2/11*u**3 - 20/11*u**2 + 2/11*u**n + 48/11 = 0. Calculate u.
-3, -2, 2
Find n, given that 1824/7*n + 0 - 4/7*n**2 = 0.
0, 456
Let t(o) = -4*o**2 + 166*o + 162. Let a(h) = -h**2 + h - 2. Let x(l) = 2*a(l) - t(l). Factor x(m).
2*(m - 83)*(m + 1)
Let l be ((-552)/(-56))/3 + (-4)/14. Let 56 - 42*w**2 - 104*w - w**3 + l*w**3 + 14*w - 102 = 0. Calculate w.
-1, 23
Let t(h) be the third derivative of -h**6/40 + 277*h**5/30 - 365*h**4/6 + 364*h**3/3 - 9114*h**2. Factor t(l).
-(l - 182)*(l - 2)*(3*l - 2)
Let l be 2/((4/(-11))/(18/(-9))). Suppose -d + l*d = 280. What is v in -9*v - 28 + v - 4*v**2 + d + 4*v**3 = 0?
-1, 0, 2
Let s be 1512/(-1728)*10/(-7). Let u(j) be the first derivative of -s*j**4 + j**5 - 5*j**3 + 5/2*j**2 - 3 + 10*j. Let u(z) = 0. What is z?
-1, 1, 2
Let a be 209150/4935*(-35)/(-75). Factor a*o**2 - 16/3 + 14/9*o**3 + 116/9*o.
2*(o + 1)*(o + 12)*(7*o - 2)/9
Suppose q - 9 = -2*x, x - 2*x = 5*q + 9. Suppose -4*j + 9 = 5*u - 2*j, -j - x = -u. Factor -2/13*w**5 + 0*w**4 + 6/13*w**u + 4/13*w**2 + 0*w + 0.
-2*w**2*(w - 2)*(w + 1)**2/13
Let g = -38513 + 654723/17. What is k in 0 - 20/17*k**4 - 12/17*k**2 - 6/17*k**5 - 24/17*k**3 - g*k = 0?
-1, -1/3, 0
Let c(z) be the first derivative of 2*z**3/3 + 3924*z**2 + 7698888*z - 5508. Factor c(f).
2*(f + 1962)**2
Let 15*a + 63/4 - 3/4*a**2 = 0. Calculate a.
-1, 21
Let u be (-3)/(-6) - (-28)/8. Let m be (u/5)/((-2)/(-5)). Determine q so that q**4 + 438*q + q**m + 3*q**3 - 440*q - 2*q**2 - q**5 = 0.
-1, 0, 1, 2
Let s(o) be the first derivative of -3*o**4/20 + 12*o**3/5 - 87*o**2/10 + 54*o/5 + 2623. Find v such that s(v) = 0.
1, 2, 9
Suppose -3*k + 14 = 2*c + 2, 0 = 3*k - 3*c + 3. Suppose 3*l - 3*g = -6, -16 = -3*l - l - k*g. Factor 7*h**3 + 26*h**2 + 10*h - 2*h**3 - 41*h**l.
5*h*(h - 2)*(h - 1)
Let y(c) = -74*c**2 + 10722*c + 1192. Let d be y(145). Factor -26/3*u**2 - 24 + d*u + 2/3*u**3.
2*(u - 6)**2*(u - 1)/3
Let m(o) be the first derivative of -o**6/1440 + o**5/120 - o**3/3 + 6*o - 23. Let q(p) be the third derivative of m(p). Find y such that q(y) = 0.
0, 4
Let b = -78431/24 - -3268. Let k(j) be the third derivative of b*j**4 + 0*j**3 + 9*j**2 - 1/120*j**6 + 0*j + 0 - 1/210*j**7 + 1/60*j**5. Factor k(q).
-q*(q - 1)*(q + 1)**2
Let u = -31 + 31. Suppose -5*p + 10*p - 200 = u. Determine s so that -p + s**2 + 10*s**2 - 50*s + 4*s**2 + 0*s = 0.
-2/3, 4
Let x(m) = -13*m + 2. Let i be x(0). Let 45*p - 44*p + 215*p + 4*p**i + 2916 = 0. What is p?
-27
Let l(v) be the first derivative of v**4/8 + 7*v**3/2 - 93*v - 48. Let k(y) be the first derivative of l(y). Factor k(t).
3*t*(t + 14)/2
Let s(n) be the second derivative of 8/105*n**6 - 3 + 1/14*n**2 + 2/7*n**5 - 14*n + 11/28*n**4 + 5/21*n**3. Determine w, given that s(w) = 0.
-1, -1/4
Let j(g) = -14*g. Let u(p) = p**3 - 8*p**2 + 110*p - 48. Let x(t) = -22*j(t) - 2*u(t). Let x(z) = 0. What is z?
-2, 12
Factor 0*t - 96/7*t**3 + 0 + 1152/7*t**2 + 2/7*t**4.
2*t**2*(t - 24)**2/7
Let u be (-1)/(8*((-1443)/(-104) + -14)). Factor 0*o + u - 1/9*o**2.
-(o - 3)*(o + 3)/9
Suppose 7*y + 2*l - 30 = 11*y, 5*l = 3*y + 5. Let o(x) = 6*x + 62. Let q be o(y). Find j, given that -2/5*j**3 - 42/5*j**q - 686/5 - 294/5*j = 0.
-7
Solve 1/6*c**2 - 106/3*c + 5618/3 = 0.
106
Let z(r) = 21*r**3 - 43*r**2 - 44*r - 4. Let u(d) = 21*d**3 - 41*d**2 - 44*d - 4. Let v(s) = -12*u(s) + 11*z(s). What is q in v(q) = 0?
-1, -2/21, 2
Let n(x) be the third derivative of -x**6/120 - 3*x**5/20 - 23*x**4/24 - 5*x**3/2 + 8*x**2 - 20*x. Factor n(u).
-(u + 1)*(u + 3)*(u + 5)
Let b(z) be the second derivative of -143/45*z**3 + 82*z - 1/150*z**5 - 121/15*z**2 + 0 - 23/90*z**4. Factor b(v).
-2*(v + 1)*(v + 11)**2/15
Let i be 501/33 - 2/77*7. Suppose -5*l = -5*f + i, 4*l - 8*f + 5*f = -7. Solve -12/7 - 4/7*t**l + 16/7*t = 0 for t.
1, 3
Suppose 2*u + 1368 = 2*m - 948, -4*u + 4600 = 4*m. What is l in m*l - 1142*l + 2*l**2 - 2*l**2 - l**2 + 13 = 0?
-1, 13
Factor y + 1/4*y**3 + 5/4*y**2 + 0.
y*(y + 1)*(y + 4)/4
Factor 9*t - 24*t**3 + 5*t + 15*t - 15*t**4 + 8*t - 55*t + 57*t**2.
-3*t*(t - 1)*(t + 3)*(5*t - 2)
Let b be (-49080)/27600 + (-9)/(-5). Let v(p) be the second derivative of 1/230*p**5 + 0 - 1/69*p**3 + b*p**4 + 34*p - 3/23*p**2. Let v(j) = 0. Calculate j.
-3, -1, 1
Let n(s) be the second derivative of 9*s**5/20 - 11*s**4/4 + 4*s**3 + 6*s**2 + 2*s - 435. Factor n(y).
3*(y - 2)**2*(3*y + 1)
Let i(z) be the third derivative of z**5/15 - 784*z**4/3 + 1229312*z**3/3 + 101*z**2. Let i(l) = 0. What is l?
784
Let r be (-4)/(-26) + 185/65. Suppose r*q + 6 = 0, 4*n + n - 4*q - 28 = 0. Solve -6/5*m**2 + 21/5*m**n + 3*m**3 + 0*m + 0 = 0.
-1, 0, 2/7
Find r such that 4/7*r**4 + 20/7*r**3 + 8/7*r**2 - 80/7*r - 96/7 = 0.
-3, -2, 2
Let 324/5 - 276/5*g - 49/5*g**2 + 1/5*g**3 = 0. Calculate g.
-6, 1, 54
Let p(f) = f**2 - 7*f - 25. Let v be p(12). Suppose 3*j - q - 18 = 2, -v = -3*j + 4*q. Factor 1/7*d**j + 0 + 6/7*d**3 + 4/7*d**4 + 1/7*d + 4/7*d**2.
d*(d + 1)**4/7
Let t(g) be the third derivative of -g**5/180 - 5*g**4/36 - 1076*g**2. Factor t(w).
-w*(w + 10)/3
Let b(m) be the first derivative of -m**3/9 - 22*m**2/3 + 15*m - 537. Suppose b(w) = 0. What is w?
-45, 1
Factor 27*r**2 - 203/2*r - 1/2*r**3 + 75.
-(r - 50)*(r - 3)*(r - 1)/