) be the first derivative of o(i). Factor q(w).
-w*(w - 2)*(w + 5)/6
Let h = -79 - -75. Let x(w) = -5*w**2 + 3*w + 2. Let l(s) = s**2 - s. Let v(o) = h*l(o) - x(o). What is t in v(t) = 0?
-2, 1
Suppose l + 95 = 20*l. Let b = 16 + -9. Solve 0*c**5 - 5*c**2 + 10*c**3 + 2*c**5 + 5*c**4 - b*c**5 - l*c**3 = 0.
-1, 0, 1
Factor 20/3*s + 1/3*s**4 - 6*s**2 - 7/3 + 4/3*s**3.
(s - 1)**3*(s + 7)/3
Let w(b) be the first derivative of -b**6/2 - 66*b**5/5 - 60*b**4 + 256*b**3 + 3225. Determine a so that w(a) = 0.
-16, -8, 0, 2
Suppose 5*d + 5*n + 5 = 0, -4*d + 8 = -2*n + 3*n. Let h = d + 6. Suppose -z**2 + z + h - 16*z + 7*z = 0. What is z?
-9, 1
Let j = 129 + -127. Find m such that -m**4 + 48*m**2 - 148*m**j + 20*m**3 - 16*m + 16*m = 0.
0, 10
Let w be (-3861)/(-162) + (-2)/(-12). Factor -w*c**3 - 3*c**4 - c**4 - 46*c + 48*c**2 + 16*c**3 - 108 + 118*c.
-4*(c - 3)*(c - 1)*(c + 3)**2
What is n in 2651 + 13287*n + 1147 - 19588279*n**2 + 19588258*n**2 = 0?
-2/7, 633
Factor -12 + 132 + 160*m**2 + 25*m**4 + 292*m - 72*m**3 + 4*m**5 - 7*m**4 - 74*m**4.
4*(m - 15)*(m - 2)*(m + 1)**3
Let s = -66622 - -66624. Determine t so that 7 - 83/3*t - 4/3*t**s = 0.
-21, 1/4
Let o(g) be the first derivative of 7*g**3 - 3273*g**2 - 1872*g - 2531. Determine z, given that o(z) = 0.
-2/7, 312
Let r = 40119 - 80235/2. Solve -9/2*s**2 - 3/2 + 9/2*s + r*s**3 = 0.
1
Let o(u) be the second derivative of -2*u**6/15 - 2*u**5/5 + 31*u**4/3 - 56*u**3/3 - 3262*u. Find m, given that o(m) = 0.
-7, 0, 1, 4
Let t(q) be the second derivative of -1/42*q**4 + 2/7*q**2 - 68*q + 1/21*q**3 + 0. Factor t(o).
-2*(o - 2)*(o + 1)/7
Let v(f) be the first derivative of f**8/6720 - f**6/240 + f**5/60 - f**4/32 - 7*f**3/3 - 7*f - 61. Let z(h) be the third derivative of v(h). Factor z(k).
(k - 1)**3*(k + 3)/4
Let b(k) = 2*k**2 - 287*k + 9245. Let t(y) = -46226 - 10*y**2 + 1426*y - 124*y + 128*y + 0*y**2. Let q(a) = -14*b(a) - 3*t(a). Let q(s) = 0. What is s?
68
Let f(c) be the first derivative of c**4/22 + 302*c**3/33 + 591*c**2/11 + 882*c/11 + 8028. Factor f(h).
2*(h + 1)*(h + 3)*(h + 147)/11
Let v(u) = u**3 - 26*u - 36. Let z be v(-4). Let b be z + 5/(25/(-10)). Find g, given that -2/5 - 1/5*g**3 + 0*g**b + 3/5*g = 0.
-2, 1
Let w(j) = -9*j**3 + 9*j**2 + 12*j - 6. Let y = -100 - -113. Let l(b) = 19*b**3 - 17*b**2 - 23*b + 13. Let g(c) = y*w(c) + 6*l(c). Factor g(v).
-3*v*(v - 6)*(v + 1)
Let t = 1166 - 1132. Suppose -t*a + 39*a = 0. Factor -3/4*d**4 + 1/4*d**5 + 0 + a*d**2 + 0*d + 1/2*d**3.
d**3*(d - 2)*(d - 1)/4
Let p(a) be the second derivative of -a**4/18 - 353*a**3/18 + 59*a**2/2 + 56*a + 12. Let p(z) = 0. What is z?
-177, 1/2
Find f such that -32 + 76/9*f + 2/9*f**3 + 10/3*f**2 = 0.
-9, -8, 2
Let k(s) = 9*s**2 - 12*s**2 - 17*s - 8 + 7*s**2. Let q be k(5). Factor q + 3 + 10*r**3 - 65*r + 135*r**2 + 35*r**4 + 0 - 125*r**3.
5*(r - 1)**3*(7*r - 2)
Factor 92*d**2 - 2968*d + 735703 - 47*d**2 - 185139 - 41*d**2.
4*(d - 371)**2
Let f = 742 + -711. Suppose -5*q + 36 = f. Factor -1/3*u**3 - 1/3*u**2 - q + 5/3*u.
-(u - 1)**2*(u + 3)/3
Suppose -8*f = 34 - 26. Let n(l) = -2*l**3 + l**2 + 7*l + 7. Let z be n(f). What is u in 2/7*u - 4/7*u**2 + 2/7*u**z + 0 = 0?
0, 1
Let l(w) be the first derivative of 93*w**4 - 167 + 4*w**2 + 15*w**3 + 13*w**3 - 48*w**4. Factor l(x).
4*x*(3*x + 1)*(15*x + 2)
Let i(u) = 3 + 6*u + 17 + 78. Let p be i(-16). Factor 3/8*h**3 + 3/8*h**5 + 0 + 0*h**p - 3/4*h**4 + 0*h.
3*h**3*(h - 1)**2/8
Let j(t) be the first derivative of 3/28*t**4 + 27/14*t**2 + 6/7*t**3 + 12/7*t - 117. Factor j(f).
3*(f + 1)**2*(f + 4)/7
Factor -368*g + 49 + 47*g**3 + 159 - 6*g**2 + 40 + 0*g**4 + 2*g**4 + 77*g**3.
2*(g - 1)**2*(g + 2)*(g + 62)
Let q be 44/(-8) + ((-6)/4)/(-3). Let u be (9/(-3) - q) + (-1 - -1). Solve 2*a - 12*a**2 + u*a + 16*a**5 - 14*a**4 + 26*a**4 - 20*a**3 = 0.
-1, 0, 1/4, 1
Let j(i) be the second derivative of 1041*i**5/40 + 87*i**4 + 351*i**3/4 + 3*i**2/2 - 5461*i. Factor j(y).
3*(y + 1)**2*(347*y + 2)/2
Let i(s) be the first derivative of -s**3/3 - s**2/2 + s - 65. Let x(r) = -r**2 + 4*r - 4. Let m(d) = -4*i(d) - x(d). Factor m(v).
5*v**2
Let d(o) = 11*o + 611*o**2 - 307*o**2 - o**3 + 30 - 307*o**2. Let t be d(-4). Factor 0 - 2/3*m + 8/3*m**t.
2*m*(4*m - 1)/3
Let h be (-7)/1 + 32*(-3)/(-6). Suppose 2*x = 15 - h. Solve c**4 - 9/2*c**x + 6*c**2 + 0 - 2*c = 0.
0, 1/2, 2
Let w = -1296 - -1432. Suppose -82*k + 14*k = -w. Find g such that 23/7*g - 16/7*g**k - 6/7 + 3/7*g**3 = 0.
1/3, 2, 3
Let d be ((-6225)/15960 - (408/(-64) + 6))*-7. Let w be (-4)/(-3)*(-3)/(-2). Determine j so that 4/19 + d*j**w - 6/19*j = 0.
1, 2
Factor 15/2 - 61/2*r - 3/2*r**3 + 49/2*r**2.
-(r - 15)*(r - 1)*(3*r - 1)/2
Solve 192/17*n**3 + 0 - 2/17*n - 190/17*n**2 = 0.
-1/96, 0, 1
Let s(b) be the third derivative of -b**6/420 + 67*b**5/210 - 1271*b**4/84 + 4805*b**3/21 - 9004*b**2. Factor s(f).
-2*(f - 31)**2*(f - 5)/7
Suppose 76 = 2*l + 66. Let s(a) = -13*a - 19 + 19 - 21*a**2 - 8*a**3. Let q(i) = -4*i**3 - 11*i**2 - 7*i. Let r(p) = l*q(p) - 3*s(p). Find h such that r(h) = 0.
-1, 0
Suppose -3*a - l + 17 = -11, -20 = -2*a - 2*l. Find i such that -36*i + 12 + 19*i**2 - a*i**2 + 17*i**2 = 0.
2/3
Factor -1415/3*r - 125*r**2 + 20/3*r**3 - 110.
5*(r - 22)*(r + 3)*(4*r + 1)/3
Determine c so that 464*c**3 + 798*c**3 + 4574 + 69990*c**2 + 258*c**3 + 77418*c**2 + 4*c**4 + 560930 + 571520*c = 0.
-188, -2
Factor 8*v**2 + 7*v**5 - 3*v**5 - 1383*v**4 + 1375*v**4 - 5*v**3 + v**3.
4*v**2*(v - 2)*(v - 1)*(v + 1)
Determine s so that 52/5*s**3 + 128/5 + 4/5*s**5 - 328/5*s - 68/5*s**4 + 212/5*s**2 = 0.
-2, 1, 16
Let s = -1028145 + 6168923/6. Determine j, given that 17/2*j**3 + 1/6*j**4 + s*j + 0 - 35/2*j**2 = 0.
-53, 0, 1
Let j(t) = -t**3 + 4*t**2 - t - 4. Let k be j(3). Factor -47*a**3 + 49*a**3 + 3*a - k*a - 9*a + 0*a.
2*a*(a - 2)*(a + 2)
Let q = 1830266/5 - 366051. Solve -q + 12/5*y - 1/5*y**2 = 0 for y.
1, 11
Suppose -4*s + 17 = -v, -20 = -4*s - 19*v + 23*v. Let f(j) be the second derivative of 1/42*j**s + 0 - 15*j - 1/3*j**3 + 10/7*j**2. Factor f(b).
2*(b - 5)*(b - 2)/7
Let y(w) be the third derivative of -w**8/4480 + w**7/240 + w**6/60 - 109*w**4/24 + 107*w**2. Let g(a) be the second derivative of y(a). Factor g(z).
-3*z*(z - 8)*(z + 1)/2
Let 26712/5*t**2 + 3028/5*t**3 + 2/5*t**5 + 60858/5*t + 37044/5 + 132/5*t**4 = 0. Calculate t.
-21, -2, -1
Suppose 2 = 27*n - 106. Factor -607*h + 21*h**2 + 0*h**3 + 619*h - 4*h**n + 4*h**3 - h**2.
-4*h*(h - 3)*(h + 1)**2
Let o = -262 + 617. Factor -145*p**3 + 40*p**4 + 386*p**2 - o*p**3 - 1196*p**2 - 415*p - 70.
5*(p - 14)*(2*p + 1)**3
Let q(r) = -r**2 - 1178*r + 1199. Let u(g) = -4*g**2 - 3537*g + 3596. Let p(f) = 11*q(f) - 4*u(f). Factor p(n).
5*(n - 1)*(n + 239)
Let m(g) be the second derivative of -g**7/84 + 55*g**6/12 - 2346*g**5/5 - 1587*g**4/2 - 5952*g. Solve m(k) = 0 for k.
-1, 0, 138
Suppose -4*i - 3*u = -4*u + 538, i - u = -136. Let h = i - -139. Determine b so that -2 - 7 + 11 + 3*b**4 + 5*b**3 - 5*b**2 - 3*b - 2*b**h = 0.
-1, 1/2, 1, 2
Let m(r) be the first derivative of r**6/3 - 6*r**5/5 - r**4 + 4*r**3 + r**2 - 6*r + 1301. Suppose m(g) = 0. Calculate g.
-1, 1, 3
Let g = 90288/59 - 1530. Let b = g - -141/118. Factor b*r - 1 - 1/2*r**3 + 0*r**2.
-(r - 1)**2*(r + 2)/2
Let n = 26448 + -78814/3. Let -160/3 - 5*l**4 + 155/3*l**3 + 640/3*l - n*l**2 = 0. Calculate l.
1/3, 2, 4
Let z(w) = -11*w - 284. Let x be z(-20). Let u be 44/10 - (-15)/(240/x). What is h in 1/2*h**3 + 0 - 3/10*h**4 + 2/5*h**2 - u*h = 0?
-1, 0, 2/3, 2
Let g be (0/(27 - -10))/(1 - 0). Solve g + 2/7*r**3 + 0*r + 4/7*r**2 = 0 for r.
-2, 0
Let y be 14/21 - ((-2756)/(-360) - 7). Let q(c) be the third derivative of 5/9*c**3 + 0*c + 1/9*c**4 - 22*c**2 - y*c**5 + 0. Factor q(p).
-2*(p - 5)*(p + 1)/3
What is q in 35*q**2 + 75 - 215/2*q - 5/2*q**3 = 0?
1, 3, 10
Suppose -6 = -2*v + 3*g, 10*g = -2*v + 6*g - 8. Let p(u) be the second derivative of v*u**2 + 1/21*u**4 - 13*u + 0 + 8/21*u**3. Factor p(n).
4*n*(n + 4)/7
Let x(t) = -6*t**5 - 4*t**4 + 17*t**3 + 10*t**2 - 5*t. Let o(m) = -m**5 + m**4 - m**3 + 2*m**2 - m. Let c(s) = -15*o(s) + 3*x(s). Solve c(h) = 0 for h.
-11, 0, 2
Let z(u) be the first derivative of -u**6/14 + u**5/5 + 19*u**4/28 + 5*u**3/21 - 2*u**2/7 - 1376. Find n such that z(n) = 0.
-1, 0, 1/3, 4
Let c(z) be the first derivative of 