. Factor g(x).
5*(x - 1)*(x + 9)*(5*x - 4)
Let x be 28/(-10)*25/(-2). Let w = x - 20. Factor -17 + w - 8 - 5*d + 5*d**2.
5*(d - 2)*(d + 1)
Suppose 1967 = 17*q + 1882. Let a(i) be the first derivative of -1/35*i**q + 3/28*i**4 - 1/21*i**3 - 1 - 3/14*i**2 + 2/7*i. Factor a(f).
-(f - 2)*(f - 1)**2*(f + 1)/7
Let o(z) = 2*z**3 - 9*z**2 - 3*z + 11. Let s(c) = -2*c**3 + 10*c**2 + 4*c - 12. Let m = -85 + 89. Let j(l) = m*o(l) + 3*s(l). Factor j(a).
2*(a - 2)**2*(a + 1)
Let -179*x**3 - 166 + 38*x**3 - 496*x - 326*x**2 + 51*x**3 + 45*x**3 + 49*x**3 = 0. Calculate x.
-1, -1/2, 83
Let y(d) = 16*d**3 + 99*d**2 - 41*d - 352. Let x be y(-6). Determine r, given that -1/6*r**4 - 44/3*r**x + 22*r + 7/2*r**3 - 32/3 = 0.
1, 2, 16
Let w(x) = 52*x**2 + 774*x + 3276. Let n(h) = 28*h**2 + 384*h + 1640. Let t(l) = 11*n(l) - 6*w(l). Factor t(p).
-4*(p + 4)*(p + 101)
Let i(a) be the second derivative of -a**3 - 1/12*a**4 - 2 + 0*a**2 - 39*a. Find y such that i(y) = 0.
-6, 0
Suppose 12*n**2 + 62 + 113*n + 97 + 13*n + 57 - 2*n**3 = 0. What is n?
-3, 12
Let d(g) = 5*g**2 + 1. Let i(u) = -28*u**2 + 9*u + 23. Let k(x) = -5*d(x) - i(x). Let h be k(-2). Find z, given that -2/5 - 6/5*z + 8/5*z**h = 0.
-1/4, 1
Let z(d) be the third derivative of d**5/100 - 189*d**4/40 + 94*d**3/5 - 786*d**2 + 1. Determine q, given that z(q) = 0.
1, 188
Let k(r) = 35*r**2 + 37952*r - 37766. Let c(n) = 4*n**2 + 4744*n - 4722. Let m(b) = 17*c(b) - 2*k(b). Solve m(d) = 0 for d.
1, 2371
Let m(g) be the first derivative of -g**5 + 5*g**4 + 10/3*g**3 - 30*g**2 - 45*g + 100. Solve m(j) = 0.
-1, 3
Let q(r) be the third derivative of 4*r**2 + 0*r - 9/2*r**4 + 10 - 1/30*r**5 + 0*r**3. Factor q(z).
-2*z*(z + 54)
Let n(j) be the second derivative of j**6/15 + 13*j**5/5 - j**4/6 - 26*j**3/3 + 3225*j + 2. Factor n(i).
2*i*(i - 1)*(i + 1)*(i + 26)
Let i = 66178 - 66175. Let 2/11*u**4 + 8/11*u**i + 8/11*u**2 + 0 + 0*u = 0. What is u?
-2, 0
Let s(l) = -2*l**5 - l - 1. Suppose 3*m = -2*i + 14, 2*i + m + 2 = 12. Let x(z) = 5*z**5 - 4*z**3 + 2*z**2 + 5*z. Let p(y) = i*s(y) + 2*x(y). Factor p(k).
2*(k - 1)**3*(k + 1)*(k + 2)
Let z = -384287/3 + 128103. Find b, given that -z*b**3 + 2*b**2 + 2*b**5 - 8/3 + 2/3*b**4 + 16/3*b = 0.
-2, -1, 2/3, 1
What is f in 0 - 370/3*f**3 + 2/3*f**5 + 0*f + 62*f**2 + 182/3*f**4 = 0?
-93, 0, 1
Let r(f) be the third derivative of 1/18*f**3 + 0 - 182*f**2 - 5/144*f**4 + 1/2016*f**8 + 1/180*f**6 - 1/315*f**7 + 1/180*f**5 + 0*f. What is g in r(g) = 0?
-1, 1, 2
Suppose 0 = -f - 0*l + 2*l + 8, 5*l + 20 = 4*f. Let t = 19447/34510 + 39/4930. Factor t*p**2 + 2/7*p**3 + 2/7*p + f.
2*p*(p + 1)**2/7
Let v(o) = -o**3 - 7*o**2 + 9*o + 65. Let l be v(-7). Factor 2771*t**4 - 810*t + 225*t**l - 2766*t**4 - 25*t**3 + 105*t**3.
5*t*(t - 2)*(t + 9)**2
Let k be 2*1*(-9)/(-6). Factor -n**4 - n**2 + 12*n**4 + 4*n**k - 10*n**4 + 4*n**2.
n**2*(n + 1)*(n + 3)
Let j(b) be the third derivative of -b**5/210 + 29*b**4/84 + 10*b**3/7 + 2*b**2 + 2226*b - 2. Determine s so that j(s) = 0.
-1, 30
Let g(w) = -w**2 - 1. Let p(u) = 3*u + 1. Let y be p(0). Let s(h) = -4*h**2 - 30*h + 220. Let l(i) = y*s(i) - 5*g(i). Factor l(f).
(f - 15)**2
Let h(f) be the first derivative of -f**5/30 + 5*f**4/24 + 25*f**3/18 - 125*f**2/12 - 1370. Factor h(p).
-p*(p - 5)**2*(p + 5)/6
Solve 1736*j**2 + 1664*j**4 + 111873*j**3 - 128*j + 113034*j**3 - 92*j**5 + 112711*j**3 - 340798*j**3 = 0 for j.
0, 2/23, 1, 16
Suppose -4*f + 4 = -2*f, -2*g + 2*f + 290 = 0. Let y(h) be the first derivative of 150*h**2 - g*h**2 + 16 - h + h - 9*h**3. Find x, given that y(x) = 0.
0, 2/9
Let q(u) be the first derivative of 195*u**4 + 3112*u**3/3 + 1154*u**2 - 24*u + 3426. Factor q(o).
4*(o + 1)*(o + 3)*(195*o - 2)
Let n(q) be the second derivative of q**4/36 - 35*q**3/9 + 325*q**2/6 + 15*q + 29. Determine m so that n(m) = 0.
5, 65
Let m(l) be the third derivative of -l**4/24 + 2*l**3/3 + 6*l**2. Let p be m(4). Find y such that 6*y**2 - y - y + 11*y + p*y = 0.
-3/2, 0
Let x(s) = -44*s**2 - 404*s + 144. Let m(k) = 130*k**2 + 1212*k - 434. Let y(i) = -6*m(i) - 17*x(i). Let y(n) = 0. What is n?
-13, 3/8
Let -810/7 - 276*m**2 + 306*m + 676/7*m**3 - 2/7*m**5 - 74/7*m**4 = 0. Calculate m.
-45, 1, 3
Let k(c) be the third derivative of -c**6/24 - 169*c**5/12 + 180*c**4 - 870*c**3 + 2*c**2 + 45*c + 22. Factor k(t).
-5*(t - 3)*(t - 2)*(t + 174)
Factor 102 + 205*m - 3*m**3 + 4*m**3 + 7621*m**2 - 7517*m**2.
(m + 1)**2*(m + 102)
Let z be 2/3*(-924)/(-88). Let 8*y**3 + 13*y**2 - z + 6*y**3 - 14*y - 5*y**2 - 1 = 0. What is y?
-1, -4/7, 1
Let s(c) be the third derivative of c**5/20 - 59*c**4/4 + 116*c**3 - 592*c**2 + c. Find o such that s(o) = 0.
2, 116
Let k(z) be the third derivative of -27*z**7/280 + 9*z**6/20 - 9*z**5/10 + z**4 - 52*z**3/3 + 78*z**2. Let o(b) be the first derivative of k(b). Factor o(y).
-3*(3*y - 2)**3
Let x = 1437/1138 + 135/569. Suppose 0*z - x + 3/2*z**2 = 0. What is z?
-1, 1
Factor -472*o - 169 + 119*o**2 - 172*o + 809 - 57*o**2 - 58*o**2.
4*(o - 160)*(o - 1)
Let a = -29556 + 29558. Let 1/2*z**a + 4 - 3*z = 0. What is z?
2, 4
Determine j, given that -2/3*j**4 - 11/3*j**3 + 0*j + 2*j**2 + 0 = 0.
-6, 0, 1/2
Let d(m) be the second derivative of m**5/4 + 5*m**4/12 - 5*m**3 + 635*m. Suppose d(f) = 0. Calculate f.
-3, 0, 2
Suppose 72 = -315*j + 317*j. Factor 3*c**2 - 5*c**2 - j*c - 2*c**3 - 11*c**2 + 3*c**2 - 8*c**2.
-2*c*(c + 3)*(c + 6)
Let h(q) be the second derivative of q**4/12 - 43*q**3/6 + 3*q + 98. Factor h(d).
d*(d - 43)
Let a(d) be the first derivative of 2/3*d**3 - 13 + 0*d**2 + 1/2*d**4 - 1/3*d**6 - 2/5*d**5 + 0*d. Find l, given that a(l) = 0.
-1, 0, 1
Let r(z) be the second derivative of -z**4/2 + 203*z**3/3 + 68*z**2 + 2992*z. Factor r(c).
-2*(c - 68)*(3*c + 1)
Let i(w) be the third derivative of -5*w**8/336 + w**7/6 + 23*w**6/8 + 39*w**5/4 + 36*w**2 - 2*w. Suppose i(k) = 0. What is k?
-3, 0, 13
Let j = -159 - -135. Let w be (0/(j/(-3)))/((-2)/2). Solve 4/3*i + w + 1/6*i**2 = 0 for i.
-8, 0
Let n be 7/(42/66) - -4. Let p(v) = -v**3 + 16*v**2 - 16*v + 18. Let c be p(n). Factor -252*t - 392/5 + 384/5*t**2 - 28/5*t**c.
-4*(t - 7)**2*(7*t + 2)/5
Let p = -987 + 989. Let q be (-24)/120 + 2*p/4. Factor -q*z**2 + 4/5 + 2/5*z - 2/5*z**3.
-2*(z - 1)*(z + 1)*(z + 2)/5
Let h be (-8)/1 - (-253)/92*4. Let f(g) be the second derivative of 1/56*g**7 + 3/80*g**5 - 1/10*g**6 + 9*g - 1/2*g**3 + 0 + 5/8*g**4 - h*g**2. Factor f(w).
3*(w - 2)**3*(w + 1)**2/4
Let b(w) = -w**3 - 2*w**2 + 2*w + 2. Let a be b(-3). Suppose 10 - a*m**2 - 60*m + 32 + 24 - 1 = 0. Calculate m.
-13, 1
Let c be 1 + (-7 - 432/(-63))/(3/(-21)). Factor 9/7*q**3 + 6/7*q - 29/7*q**c + 0.
q*(q - 3)*(9*q - 2)/7
Let v(i) = -5 + 8 + i**2 + 18*i - 3*i**2 - 17. Let n be v(8). Factor 0*y - 4*y**2 + 19*y**n - 13*y**2 - 4 + 2*y.
2*(y - 1)*(y + 2)
Let r(t) be the second derivative of 10/3*t**3 - 1 - 5/3*t**4 - 17*t - 1/4*t**5 + 1/6*t**6 + 0*t**2. Find p such that r(p) = 0.
-2, 0, 1, 2
Let v be 26/208 + (175/(-440))/(-7). Factor 4/11 - 18/11*k + 12/11*k**4 + 32/11*k**2 - v*k**5 - 28/11*k**3.
-2*(k - 2)*(k - 1)**4/11
Suppose 4*l = -4*m + 32, -4*m + 44*l = 40*l. Let p(s) be the first derivative of 0*s**2 - 15/4*s**m + 9 + 12/5*s**5 + 2*s**3 + 0*s - 1/2*s**6. Solve p(n) = 0.
0, 1, 2
Let j = 449 + -447. Let -j*k**2 + 145*k - 3*k**2 - 25*k = 0. What is k?
0, 24
Let p be -7 + 4 + (-1 - -8) - -4. Suppose d = -3*d + p. Find q such that q + 3*q**2 - 14*q**2 + 5*q**d + 7*q**2 = 0.
-1, 0
Suppose 0*h = 4*h - 48. Suppose -h*d**2 - 3612*d - 28*d**4 + 6*d**5 + 34*d**3 + 3612*d = 0. Calculate d.
0, 2/3, 1, 3
Let k(z) = 5*z**3 + 5*z**2 - 30. Let x(c) = -5*c**3 - 9*c**3 + 1 + 13*c**3 + c**2. Let g(r) = -k(r) - 10*x(r). Let g(m) = 0. Calculate m.
-1, 2
Let y = -85 + 87. Factor 1032 + 2*k**y + 120 + 12*k + 84*k.
2*(k + 24)**2
Let r(j) be the third derivative of -j**6/180 - 7*j**5/45 - 17*j**4/12 - 6*j**3 - 5*j**2 - 120*j. Find m, given that r(m) = 0.
-9, -3, -2
Let j be 6 + 1 + 174 + -77. Let i be (2 + -3)*j/(-39). Let i*m**4 - 8/3 + 0*m**2 - 34/3*m + 34/3*m**3 = 0. Calculate m.
-4, -1, -1/4, 1
Let r(u) be the third derivative of -u**6/40 + 3*u**5/20 - 2*u**3 + 2*u**2 + 34*u. What is o in r(o) = 0?
-1, 2
Let j(r) = -r**3 + 6*r**2 - 5*r + 4. Let v be j(5). Let -4*h**2 + 307*h**3 - 299*h**3 + 5*h**5 - 5*h**v - 4*h**5 = 0. What is