tor 0 - 3/4*x**3 - 501/2*x**2 - 83667/4*x.
-3*x*(x + 167)**2/4
Let w(z) be the first derivative of 5/4*z**4 - 1/3*z**3 - 13 + 4*z - z**2. Let q(k) = 4*k**3 - k**2 - 2*k + 3. Let a(x) = -4*q(x) + 3*w(x). Factor a(f).
-f*(f - 2)*(f + 1)
Factor 1031*f - 1419*f - 9*f**3 - 576 - 54*f**2 + 7*f**3.
-2*(f + 2)*(f + 9)*(f + 16)
Let h(w) be the first derivative of 5*w**4/4 - 5*w**3/3 - 85*w**2/2 - 75*w + 1144. Factor h(o).
5*(o - 5)*(o + 1)*(o + 3)
Let r be 304/(-24) + 8 - (-35)/3. What is x in -6*x + 15/4*x**4 - r*x**5 + 11/4*x**2 + 41/2*x**3 + 1 = 0?
-1, 1/4, 2/7, 2
Suppose 5*c + 6 + 0 = 4*d, 10 = 4*d - 3*c. Let r(k) be the second derivative of -5/9*k**3 + 0 + 13*k + 1/12*k**5 + 5/36*k**d + 0*k**2. Factor r(i).
5*i*(i - 1)*(i + 2)/3
Let z = -161 + 157. Let h(s) = 7*s**2 - 201*s - 5196. Let d(x) = 4*x**2 - 202*x - 5198. Let o(l) = z*h(l) + 6*d(l). Factor o(j).
-4*(j + 51)**2
Let z = 37 - 113. Let o = z - -78. Factor 48 + 495*c**2 + 633*c**3 + 226*c + 84*c**o + 75*c**5 + 345*c**4 + 38*c.
3*(c + 1)**3*(5*c + 4)**2
Suppose -r - 2*v = 200, -r - 233 = -4*v - 39. Let d be (4/(-18))/(22/r). Factor -2*p**3 + 27/4 + 0*p - 9/2*p**d - 1/4*p**4.
-(p - 1)*(p + 3)**3/4
Let d(h) = 4*h**2 + 38*h - 2. Let p(y) = -10*y - 7. Let t(j) = -13*j - 8. Let l(z) = 4*p(z) - 3*t(z). Let k(r) = -d(r) + 3*l(r). Factor k(x).
-(x + 10)*(4*x + 1)
Factor -8205*i**2 - 593*i - 51680*i**3 - 55*i - 7612*i**2 - 23104*i**4 + 3693*i**2 + 856*i**2.
-4*i*(i + 2)*(76*i + 9)**2
Let r(v) be the second derivative of -v**5/170 + 22*v**4/51 - 28*v**3/17 + 997*v. Factor r(x).
-2*x*(x - 42)*(x - 2)/17
Let p be (-2)/1 + (-132)/(-6) - 0. Let 225*o**5 + 550*o**3 + 117 - 715*o**4 - p*o**2 - 40*o - 117 + 0*o**5 = 0. Calculate o.
-2/9, 0, 2/5, 1, 2
Factor 143*x + 12*x - 189*x**2 + 234*x**2 + 60.
5*(x + 3)*(9*x + 4)
Let m(i) be the first derivative of i**4/12 - i**3/9 - 40*i**2 - 5353. Factor m(y).
y*(y - 16)*(y + 15)/3
Suppose 97*g - 21 = 100*g. Let m(r) = -18*r**2 - 5*r - 1. Let c(b) = -8*b**2 - 3*b - 1. Let y(z) = g*c(z) + 3*m(z). Let y(q) = 0. Calculate q.
-2, -1
Let l be ((-5)/(-1) + -3)/((-4)/(-8)). Let y be (-242)/(-88) + 1/l. Suppose 0*k + 1/3*k**y + 0 - 2/3*k**4 + 1/3*k**5 + 0*k**2 = 0. What is k?
0, 1
Let y(g) be the second derivative of g**6/180 - g**5/5 + 5*g**4/3 + g**3/3 - 23*g**2/2 + 47*g. Let l(m) be the second derivative of y(m). What is h in l(h) = 0?
2, 10
Let c(m) be the third derivative of m**8/756 + 8*m**7/135 + 116*m**6/135 + 538*m**5/135 + 487*m**4/54 + 308*m**3/27 - 10225*m**2. Let c(i) = 0. What is i?
-14, -11, -1
Factor 8/7*s + 22 - 2/7*s**2.
-2*(s - 11)*(s + 7)/7
Suppose -79136*g**4 + 12*g**3 - 15*g + 5 - 5 + 3*g**5 + 18*g**2 + 79118*g**4 = 0. Calculate g.
-1, 0, 1, 5
Let a(f) be the first derivative of 338*f**2 + 13 + 41*f + 1/3*f**4 - 52/3*f**3. Let m(z) be the first derivative of a(z). Factor m(k).
4*(k - 13)**2
Let n(b) be the third derivative of 3*b**8/448 - 31*b**7/280 + 41*b**6/80 - 9*b**5/8 + 43*b**4/32 - 7*b**3/8 - 9*b**2 + 8. Solve n(a) = 0.
1/3, 1, 7
Let m be (-6)/24*(2 + -18). Suppose 2*q = m*s + 1 - 21, -4*s + 20 = 3*q. Factor -1/3*l**2 + q - l.
-l*(l + 3)/3
Let u = -1/72 + 19/72. Let s be 12712/(-3632)*10/(-28). Suppose u*l**2 + 3/4 - s*l + 1/4*l**3 = 0. Calculate l.
-3, 1
Find d such that -4318/9*d**2 - 2/9*d**3 + 0 + 0*d = 0.
-2159, 0
Let q(m) = -m**2 - 28*m - 58. Let j be q(-10). Factor -8*w**5 - 49*w**4 - 8*w - 7*w**4 - 84*w**2 - 10*w - j*w**3.
-2*w*(w + 3)**2*(2*w + 1)**2
Let w(y) be the second derivative of 0 - 5/28*y**4 + 3/140*y**5 + 0*y**2 + 3/7*y**3 - 28*y. Suppose w(s) = 0. What is s?
0, 2, 3
Let c = -120755/2 - -60383. Suppose -7/2*z**2 + 2*z**4 - 11/2*z + c*z**3 + 3/2 = 0. Calculate z.
-3, -1, 1/4, 1
Let q(o) = o**3 + 7*o**2 + 6*o + 2. Let p be q(-6). Factor -951 + 488 + 4*j**p - 20*j + 479.
4*(j - 4)*(j - 1)
Suppose t + 5*n = 51, 0*n = -3*t - 3*n + 117. Factor t*s**5 + 12*s**3 + 30*s**5 - 58*s**5 - 28*s**4.
4*s**3*(s - 3)*(2*s - 1)
Let p(a) be the second derivative of a**5/100 + 101*a**4/60 + 199*a**3/30 + 99*a**2/10 - 542*a. Suppose p(t) = 0. What is t?
-99, -1
Let h(i) be the first derivative of -3*i**2 + 58 + 4*i + 2/3*i**3. Determine j, given that h(j) = 0.
1, 2
Let h be (-350)/700 + (-27)/(-30). Determine o, given that 80/3 - 116/15*o**2 - 104/3*o - h*o**3 = 0.
-10, 2/3
Suppose -2*y + 8 = -4*l, 4*y - l = 9*y + 2. Let q(o) be the second derivative of 0 + y*o**2 - 5/9*o**4 - 18*o - 1/9*o**3. Determine f, given that q(f) = 0.
-1/10, 0
Suppose -23 = -4*r - 7. Suppose 4*q = q + 9. Factor -r*x**3 - 17 - 385*x**2 - 44*x - q + 357*x**2.
-4*(x + 1)**2*(x + 5)
Suppose 2048*c = 2054*c - 24. Find q such that 0 - 15/2*q**3 + 0*q - 5*q**2 + 0*q**c + 5/2*q**5 = 0.
-1, 0, 2
Factor 28/3*z**2 + 7 + 2/3*z**3 - 1/3*z**4 + 46/3*z.
-(z - 7)*(z + 1)**2*(z + 3)/3
Let 2/15*v**4 + 0 - 126/5*v**3 + 0*v**2 + 0*v = 0. What is v?
0, 189
Let j(l) be the first derivative of -l**4/26 + 22*l**3/39 + 136*l**2/13 + 608*l/13 + 1224. Find y such that j(y) = 0.
-4, 19
Let y(w) = 21*w + 15. Let m be y(5). Solve -m*j**2 + 96*j - 3*j**5 - 61*j**3 + 123*j**3 - 26*j**3 + 6*j**4 = 0.
-4, 0, 2
Let k(q) be the first derivative of -2*q**5/25 + 4*q**4/5 + 2*q**3/15 - 8*q**2/5 + 4793. Factor k(i).
-2*i*(i - 8)*(i - 1)*(i + 1)/5
Let x(f) be the first derivative of -5*f**4/4 - 325*f**3 - 9000*f**2 - 87500*f - 5554. Factor x(c).
-5*(c + 10)**2*(c + 175)
Let b(w) = -6*w**2 - 1432*w - 284258. Let i(m) = 5*m**2 + 1451*m + 284258. Let c(z) = 3*b(z) + 4*i(z). Determine r, given that c(r) = 0.
-377
Let z(r) be the second derivative of -2/5*r**5 + 0 + 0*r**3 + 0*r**2 - 132*r - 1/15*r**6 + 0*r**4. Determine m so that z(m) = 0.
-4, 0
Factor 1/11*b**5 + 0 - 13/11*b**4 + 12/11*b**3 + 0*b + 0*b**2.
b**3*(b - 12)*(b - 1)/11
Factor 4*o**2 + 0 + 25/7*o**3 + 3/7*o.
o*(o + 1)*(25*o + 3)/7
Let i(t) be the first derivative of 5*t**3/12 + 9*t**2/4 - 2*t - 1030. Let i(l) = 0. What is l?
-4, 2/5
Solve -15/4*m**2 - 3/4*m**3 + 0 + 18*m = 0.
-8, 0, 3
Let p(j) = j - 9. Let d be p(13). Suppose -2*u + d*f = 3*u - 27, -2*u + 3*f = -15. Factor -48*i - 21*i**4 + 2*i**5 - 12 - 5*i**5 - 26*i**2 - 57*i**u - 49*i**2.
-3*(i + 1)**3*(i + 2)**2
Factor 430/3*s**2 - 22454/3*s - 23762 - 2/3*s**3.
-2*(s - 109)**2*(s + 3)/3
Let x(h) = h**3 + 158*h**2 + 205*h - 2. Let g(b) = -15*b**3 - 2505*b**2 - 3282*b + 33. Let p(s) = 2*g(s) + 33*x(s). Factor p(d).
3*d*(d + 1)*(d + 67)
Suppose -4*d + x + 9 = -2*x, 0 = d + 4*x - 7. Factor -72*n - 6 - 2 + 6*n**d - 26*n**3 + 16 - 78*n**2.
-2*(n + 2)**2*(10*n - 1)
Suppose 4*j - 3*g + 18 = 209, -j + 54 = -2*g. Let b(n) = 24*n**3 + 6*n**2 - 2*n - 6. Let a(v) = v**3. Let r(t) = j*a(t) - 2*b(t). Solve r(k) = 0.
-3, -1, 1
Solve 11*v**2 - 34/3 - 19/3*v**3 + 19/3*v + 1/3*v**4 = 0 for v.
-1, 1, 2, 17
Let p(r) = 40*r**2 - 690*r + 285. Let t(l) = -25*l**2 + 343*l - 142. Let y(i) = -2*p(i) - 5*t(i). Factor y(m).
5*(m - 7)*(9*m - 4)
Let a(c) be the third derivative of -c**7/5040 + c**6/432 - c**5/240 - c**4/16 + 47*c**3/2 + 38*c**2. Let g(o) be the first derivative of a(o). Factor g(v).
-(v - 3)**2*(v + 1)/6
Determine q so that -13*q**3 + 222*q + 48*q**3 - 20*q**3 - 43*q**2 + 156*q**2 - 14*q**3 = 0.
-111, -2, 0
Let z(v) = -29*v**3 - 45*v**2 + 80*v - 54. Let d(g) = 25*g**3 + 44*g**2 - 84*g + 55. Let p(y) = 6*d(y) + 5*z(y). Factor p(s).
(s - 1)*(s + 10)*(5*s - 6)
Let b be 9 - (13 + 6/(-1)). Let l(d) be the first derivative of -2/3*d + 0*d**3 - 1/12*d**4 - 8 + 1/2*d**b. Find f, given that l(f) = 0.
-2, 1
Determine q, given that 508/3*q**3 + 0 + 2/3*q**4 + 0*q - 170*q**2 = 0.
-255, 0, 1
Let w be 6503/5 - (-21)/(-210)*310. Find l such that -138/5*l**2 + 1/5*l**3 - 97336/5 + w*l = 0.
46
Let w = 22888 - 22885. What is m in -10/3*m + 2/3*m**w + 2/3*m**2 + 2 = 0?
-3, 1
Let l(r) be the second derivative of -r**8/8960 - 9*r**7/1120 - 209*r**4/12 + 62*r. Let g(x) be the third derivative of l(x). Factor g(v).
-3*v**2*(v + 27)/4
Let v(i) be the second derivative of -i**5/80 - 19*i**4/24 - 91*i**3/8 + 441*i**2/2 + 11*i + 18. Solve v(x) = 0.
-21, 4
Factor 126*l - 27*l**2 - 132 - 3/2*l**3.
-3*(l - 2)**2*(l + 22)/2
Let q = 769 - 766. Suppose -4*p + q = 4*x - 1, 1 = 3*p + x. Let -4/5*w + p - 14/5*w**2 = 0. What is w?
-2/7, 0
Let p(c) be the first derivative of -c**3/3 - 5*c**2/2 + 9*c - 16. Let y be p(-6). Factor -t**y - 3*t + 2*t**2 + 5