*t**3 + 2350*t**2 + 4219*t + 2035. Let n(r) = -5*o(r) - 7*v(r). Factor n(b).
-(b + 1)**2*(b + 26)**2
Suppose 4*s + 2 = 2*k - 0, -20 = -2*k - 5*s. Suppose -d + 10 - k = 0. What is g in 1/6*g**d - 1/6*g**2 + 0*g + 1/2*g**3 + 0 - 1/2*g**4 = 0?
0, 1
Let d(f) be the first derivative of f**4 - f**4 - f**4 - 16. Factor d(x).
-4*x**3
Suppose -4*y + 6 = z - 1, 0 = 3*z + 2*y - 11. Determine q, given that q**2 - 3 + z - q**4 = 0.
-1, 0, 1
Let s(y) be the third derivative of y**8/15680 - y**7/2940 + y**6/1680 - 5*y**4/24 - 38*y**2. Let w(c) be the second derivative of s(c). Factor w(p).
3*p*(p - 1)**2/7
Let g(t) be the third derivative of t**5/60 - 25*t**4/24 + 14*t**3 - t**2 + 85. Factor g(j).
(j - 21)*(j - 4)
Let v(b) be the second derivative of 0 - 41*b - 3/20*b**5 + 0*b**2 + 0*b**3 + 0*b**4. Factor v(m).
-3*m**3
Let u(m) = -3*m - 12. Let g be u(-5). Let t(f) be the first derivative of -1/10*f**5 + 1/4*f**4 + 1/2*f**g - 2*f - f**2 - 5. Suppose t(x) = 0. What is x?
-1, 2
Let m(z) be the first derivative of -z**3 + 3/4*z**4 + 0*z - 10 + 0*z**2. Find l, given that m(l) = 0.
0, 1
Let g = 1195 - 1193. Let d(f) be the first derivative of -4/17*f - 1/34*f**4 - 5/17*f**g + 9 - 8/51*f**3. Determine w, given that d(w) = 0.
-2, -1
Let n(r) be the first derivative of 1 - 1/8*r**4 - 1/3*r**3 + 1/4*r**2 + r. Suppose n(t) = 0. What is t?
-2, -1, 1
Let x(h) be the first derivative of 0*h + 0*h**4 + 2*h**5 - 5/6*h**6 - 3 + 5/2*h**2 - 10/3*h**3. Factor x(q).
-5*q*(q - 1)**3*(q + 1)
Let 0*f**2 + 3*f**2 - 141*f + 420 + 258*f = 0. Calculate f.
-35, -4
Let n(c) be the second derivative of -5*c**4/16 + 9*c**3/8 - 3*c**2/2 + 63*c. Factor n(b).
-3*(b - 1)*(5*b - 4)/4
Let s = 18 - 15. Suppose 5*o - s - 7 = 0. Suppose 3*r**4 - 6*r**3 + 7*r**3 - 3*r**2 + 0*r**4 - 3*r + o*r**3 = 0. What is r?
-1, 0, 1
Let z = 271/70 - 19/5. Let v(t) be the first derivative of -4/7*t**2 + 0*t - 8 - z*t**4 + 8/21*t**3. Suppose v(i) = 0. Calculate i.
0, 2
Let j(r) be the third derivative of r**8/11760 + r**7/490 + 3*r**6/140 + 9*r**5/70 + r**4/3 - 2*r**2. Let i(c) be the second derivative of j(c). Factor i(y).
4*(y + 3)**3/7
Let g = -57 + 157. Let i = 100 - g. Factor -2/5*m**2 + i + 4/5*m.
-2*m*(m - 2)/5
Let k(j) be the third derivative of j**7/1155 - 7*j**6/165 + 98*j**5/165 - 19*j**2 - 2*j. Solve k(q) = 0.
0, 14
Let h(f) be the second derivative of f**6/45 + 11*f**5/15 + 28*f**4/3 + 490*f**3/9 + 343*f**2/3 + 60*f. Find b such that h(b) = 0.
-7, -1
Let p = 12 + -4. Factor -p*s**3 + 16*s**3 - 9*s + 15*s**2 - 11*s**3 - 27.
-3*(s - 3)**2*(s + 1)
Let g(r) = -9*r**2 - 3*r. Let b(t) = -4*t**2 - t. Let o(v) = 14*b(v) - 6*g(v). What is n in o(n) = 0?
0, 2
Let v = 24/103 - -498/515. Factor -2/5*p**2 - v*p - 4/5.
-2*(p + 1)*(p + 2)/5
Factor -17*c**2 + 11*c**2 + 41*c**2 + 36 - 2*c**2 + 111*c.
3*(c + 3)*(11*c + 4)
Find s such that 0 - 5*s**3 - 15*s**5 - 65/2*s - 575/4*s**2 + 785/4*s**4 = 0.
-2/3, -1/4, 0, 1, 13
Let y(a) = -2*a**2 + 2*a + 1. Let l(s) = 7*s**2 - 10*s - 1. Let u(h) = l(h) + 4*y(h). Factor u(v).
-(v - 1)*(v + 3)
Determine y so that 5*y**3 - 40 + 4*y**2 + 8*y**2 + 10*y + 3*y**2 - 40*y = 0.
-4, -1, 2
Suppose 110*f - 221*f = -113*f. Factor 2/5*t**2 + 2/5*t + f.
2*t*(t + 1)/5
Suppose -6*b = -10*b + 88. Let w(o) = -o**3 + 2*o**2 + 2. Let d(i) = 5*i**3 - 11*i**2 - 11. Let p(c) = b*w(c) + 4*d(c). Factor p(q).
-2*q**3
Suppose 246 = 10*d + 226. Factor 2/9*f + 0 + 4/9*f**d - 2/3*f**3.
-2*f*(f - 1)*(3*f + 1)/9
Factor 2/3*v**4 + 10/3*v**2 + 4/3*v + 8/3*v**3 + 0.
2*v*(v + 1)**2*(v + 2)/3
Let d be (18/(-7) + 2)/((-37)/259). Let u(r) be the third derivative of 1/24*r**3 - 1/240*r**5 + 4*r**2 + 0 + 1/96*r**d - 1/480*r**6 + 0*r. Factor u(t).
-(t - 1)*(t + 1)**2/4
Factor 2/7*b**2 - 26/7 + 24/7*b.
2*(b - 1)*(b + 13)/7
Let b(k) = -k**3 + 9*k**2 + 10*k + 5. Let d be b(10). Find h, given that 5*h**d + 6*h + 5*h**2 + h**5 - 12*h**3 - 3 + 0*h + h**2 - 3*h**4 = 0.
-1, 1/2, 1
Let t(z) = z**3 - 3*z**2 + z + 4. Let j be t(2). Solve j*i**2 + 8*i**2 - 20*i**3 - 10*i**4 - 144*i**5 + 149*i**5 + 15*i = 0 for i.
-1, 0, 1, 3
Suppose -23 + 5 = -6*k. Factor -47*w**k - 3*w + 5*w + 45*w**3.
-2*w*(w - 1)*(w + 1)
Let q be ((-320)/(-350) - 1)*(1 - 6). Let -1/7*c**3 + q*c**2 + 0*c + 0 = 0. Calculate c.
0, 3
Let p be 0 + 246/105 - (-1)/(-5). Let t be -3 - (72/(-14))/1. Let -30/7*w**3 - 30/7*w**2 - 3/7 - 3/7*w**5 - p*w**4 - t*w = 0. What is w?
-1
Let f(a) = 42*a**4 + 15*a**3 - 81*a**2 - 6*a + 15. Let x(n) = 21*n**4 + 8*n**3 - 41*n**2 - 2*n + 7. Let c(y) = 7*f(y) - 15*x(y). Find h, given that c(h) = 0.
-2, 0, 2/7, 1
Let h be 10/60 - 7/42. Let n(g) be the third derivative of h + 1/48*g**4 + 0*g + 1/6*g**3 - 5*g**2 - 1/60*g**5 - 1/240*g**6. Factor n(z).
-(z - 1)*(z + 1)*(z + 2)/2
Suppose -y = -2, -l - 5*y - 78 = -90. Let h(r) be the third derivative of 1/210*r**5 + 4*r**l + 4/21*r**3 + 0 + 0*r - 1/21*r**4. Find t such that h(t) = 0.
2
Let t(d) be the second derivative of d**6/35 - 33*d**5/70 + 20*d**4/7 - 48*d**3/7 + 243*d. Determine v, given that t(v) = 0.
0, 3, 4
Factor 1/6*x**4 - 3/2*x**3 + 3 + 29/6*x**2 - 13/2*x.
(x - 3)**2*(x - 2)*(x - 1)/6
Let m be 15/20 + 973/(-12). Let o = -80 - m. Determine q, given that -o*q**2 + 4/3 + 0*q = 0.
-2, 2
Let q(p) be the first derivative of -2*p**5/5 - 5*p**4/2 - 8*p**3/3 - 64. Factor q(n).
-2*n**2*(n + 1)*(n + 4)
Let j(w) be the first derivative of 9*w**5/5 + 3*w**4/4 - 20*w**3 + 18*w**2 - 284. Let j(g) = 0. Calculate g.
-3, 0, 2/3, 2
Let z be (-1 + 7)*-2*(-1)/6. Let 20*u + 39*u**2 - 3 - 43*u**z + 3 = 0. Calculate u.
0, 5
Suppose -3*i + 41 = -c, 5*c + 0*c = -i + 3. Suppose -i*v = -18*v. Let -2/5*j**4 + 0*j**3 + 0*j**2 + v*j + 0 = 0. Calculate j.
0
Let s = -20/17 - -151/85. Let n be (-10)/(-85) + (-5)/(850/(-82)). Factor n*g**2 - 6/5*g + s.
3*(g - 1)**2/5
Let t(g) = -32*g**2 + 1590*g - 42135. Let h(i) = 11*i**2 - 530*i + 14045. Let p(d) = -17*h(d) - 6*t(d). Find k, given that p(k) = 0.
53
Let x = 41753/99 - 4638/11. Find q such that -x*q - 1/9*q**2 + 0 = 0.
-1, 0
Let a(s) be the first derivative of -3*s**5/40 - 15*s**4/32 + 3*s**3/4 + 139. Determine d, given that a(d) = 0.
-6, 0, 1
Let m(a) be the second derivative of -7/30*a**4 + 3*a + 1/3*a**3 + 2/5*a**2 + 0. Determine w, given that m(w) = 0.
-2/7, 1
Let n = 9442 + -9442. Let u be 1/2 + 0 + 0. Factor -2 + u*f**2 + n*f.
(f - 2)*(f + 2)/2
Let r(s) be the third derivative of -1/144*s**6 - 5/18*s**3 + 1/36*s**5 + 0*s - 26*s**2 + 0 + 5/144*s**4. Suppose r(m) = 0. Calculate m.
-1, 1, 2
Suppose 4*m - m + 2*b + 532 = 0, -5*m + 5*b - 870 = 0. Let g = -701/4 - m. Factor -3/4*p**3 + 9/4*p**2 - 9/4*p + g.
-3*(p - 1)**3/4
Let y(t) be the second derivative of -1/9*t**2 - 5/54*t**3 - 1/27*t**4 - 1/180*t**5 + 14*t + 0. Factor y(i).
-(i + 1)**2*(i + 2)/9
Suppose n + 7 = 3*y, 155*y - 2 = 5*n + 151*y. What is c in 0*c + 0 + 1/3*c**5 - c**4 + 0*c**n + 2/3*c**3 = 0?
0, 1, 2
Let m = -87 + 89. Find n, given that 6*n + 2*n**m + 6 + 2/9*n**3 = 0.
-3
Let h(k) be the second derivative of -5*k**4/12 + 29*k**3/6 + 37*k**2/2 - 17*k. Let u(s) = -40*s**2 + 230*s + 295. Let a(l) = 25*h(l) - 3*u(l). Factor a(j).
-5*(j - 8)*(j + 1)
Let u be 15 - (42/56 - 22/8). Determine b, given that -8*b - 9 - b**2 + u*b - 15*b = 0.
-3
Let t(x) = -11*x + 398. Let n be t(36). Find l such that 0 - 1/3*l**2 - n*l = 0.
-6, 0
Factor 0 + 3/4*n**2 + 1/2*n + 1/4*n**3.
n*(n + 1)*(n + 2)/4
Let -2/13*z**2 - 22/13 + 24/13*z = 0. Calculate z.
1, 11
Let -10/11*p + 6/11 + 2/11*p**3 + 2/11*p**2 = 0. Calculate p.
-3, 1
Suppose -88 - 106*y + 123*y - 69*y - 4*y**2 + 0*y**2 = 0. Calculate y.
-11, -2
Let y(p) be the third derivative of -2*p**5/195 + 109*p**4/156 - 9*p**3/13 + p**2 - 29. What is a in y(a) = 0?
1/4, 27
Let t(n) be the third derivative of -n**5/60 + 5*n**4/12 + 11*n**3/6 + 9*n**2 + 2. Solve t(o) = 0 for o.
-1, 11
Let j = 173/3 - 1121/21. Solve -58/7*o**4 + 0 + 16/7*o**2 + j*o**3 - 8/7*o + 20/7*o**5 = 0 for o.
-1/2, 0, 2/5, 1, 2
Let a(j) be the first derivative of j**6/960 + j**5/480 - 35*j**2/2 - 37. Let n(w) be the second derivative of a(w). Find l, given that n(l) = 0.
-1, 0
Determine u, given that -11/2*u**2 - 6 + 34*u = 0.
2/11, 6
Determine d, given that -5/3*d**3 - 80 - 40/3*d**2 + 220/3*d = 0.
-12, 2
Let i(c) be the first derivative of -c**7/1680 - c**6/120 - 3*c**5/80 - 11*c**3/3 + 4. Let h(d) be th