 + 1/120*c**6 - 1/16*c**4. Factor h(x).
(x - 1)**2*(x + 1)*(x + 2)/4
Suppose -4*t + 815 = 319. Suppose -t*i - 32 = -132*i. Factor 0*y - 9/4*y**5 - 5*y**i - 1/2*y**2 - 13/4*y**3 + 0.
-y**2*(y + 1)**2*(9*y + 2)/4
Determine y so that -27099*y**2 + 13566*y**2 - 20520*y + 13538*y**2 + 21053520 = 0.
2052
Suppose -3*l + 7*i = 2*i - 1791, -4*l + 3*i + 2399 = 0. Let p = -599 + l. Find n, given that 0 + 4/3*n + 25/3*n**p - 20/3*n**2 = 0.
0, 2/5
Let f(g) = -53*g**4 + 21*g**3 - 351*g**2 + 320*g. Let l(u) = 23*u**4 - 11*u**3 + 176*u**2 - 160*u. Let n(w) = 4*f(w) + 9*l(w). Suppose n(q) = 0. What is q?
-8, 0, 1, 4
Suppose 0 = -10*x + 42 - 2. Solve x*a - a**2 + 206 + 208 - 402 = 0 for a.
-2, 6
Let v(j) = 0 - 3*j - 1 + 4*j. Let m(z) = 5*z**3 + 20*z**2 + 5*z + 30. Let c be (-1)/10*-2 - (-202)/(-10). Let h(x) = c*v(x) - m(x). Let h(i) = 0. What is i?
-2, -1
Let f(o) = 3097*o + 68134. Let j be f(-22). Find h such that 4/17*h**2 + 0*h**4 + 6/17*h**3 + 0 - 2/17*h**5 + j*h = 0.
-1, 0, 2
Let g(k) = -2*k**4. Suppose -38*a + 12 = -34*a. Let n(b) = b**5 + 10*b**4. Let l(p) = a*n(p) + 6*g(p). Factor l(c).
3*c**4*(c + 6)
Let y(o) = -3*o**4 - 1004*o**3 + 1007*o**2 - 10*o - 4. Let p(v) = 8*v**4 + 3014*v**3 - 3022*v**2 + 35*v + 14. Let g(t) = 2*p(t) + 7*y(t). Factor g(r).
-5*r**2*(r - 1)*(r + 201)
Factor -15*m - 12 - 6*m**2 + 12*m**4 + 12*m**3 - 2*m**5 - 11 + 5*m**5 + 18 - 1.
3*(m - 1)*(m + 1)**3*(m + 2)
Let b be -2 + 784 - (23 - 29). Let x = b - 8666/11. Find r, given that x*r**3 + 4/11 + 0*r**2 - 6/11*r = 0.
-2, 1
Let f = 928586 + -928583. Factor 8*o - 42/5*o**2 + 2/5*o**f + 0.
2*o*(o - 20)*(o - 1)/5
Suppose -4*r - 38 = -g, -3*r + 8*r + 7 = -g. Suppose g*q = 20*q - 18*q. Determine n, given that -3/7*n**3 - 3/7*n**2 + 0*n + q = 0.
-1, 0
Let f(a) be the second derivative of -a**5/40 - 2*a**4 - 65*a**3/3 - 84*a**2 - 499*a - 1. Let f(o) = 0. What is o?
-42, -4, -2
Let m(l) = 9*l**2 - 210*l - 2541. Let w(r) = -2*r**2 - 4*r + 1. Let n(v) = m(v) + 6*w(v). Find s, given that n(s) = 0.
-65, -13
Let j(m) = -12*m**4 + 76*m**3 + 40*m**2 - 352*m - 432. Let p(d) = -d**4 + 2*d**3 + 2*d**2 + d + 3. Let b(t) = -j(t) + 16*p(t). Factor b(s).
-4*(s - 3)*(s + 2)**2*(s + 10)
Suppose -3*p = -f - 3, 3*p = -0*p + 3. Suppose 375*l + 7803 = 2976*l. Suppose f*s + 3/8*s**4 + 3/4*s**l + 0 + 0*s**2 = 0. Calculate s.
-2, 0
Let x be (-6)/3 - 878/(-325). Let s = x + -6/25. Find v, given that s - 2/13*v**2 - 4/13*v = 0.
-3, 1
Factor -1028196/5 + 4056/5*y - 4/5*y**2.
-4*(y - 507)**2/5
Solve -2/15*r**4 - 152/15 + 24/5*r + 154/15*r**2 - 24/5*r**3 = 0 for r.
-38, -1, 1, 2
Let w(m) be the first derivative of -44 - 4/3*m**3 + 0*m**2 + 2*m**4 + 0*m - 4/5*m**5. Factor w(q).
-4*q**2*(q - 1)**2
Let a(p) = -p + 5. Let j be a(0). Let g = 32/53 + 413/106. Find c such that 0 + 6*c**4 - g*c**3 + 0*c + 0*c**2 - 3/2*c**j = 0.
0, 1, 3
Let b = -217 + 218. Let j(h) = h**2. Let o(c) be the first derivative of -c**4/4 - 3*c**3 + 4*c + 3. Let k(i) = b*o(i) + 6*j(i). Let k(z) = 0. Calculate z.
-2, 1
Let s(o) = 3*o**5 - 28*o**4 - 10*o**3 + 21*o**2 + 14*o + 14. Let r(d) = -d**5 + 9*d**4 + 3*d**3 - 7*d**2 - 4*d - 4. Let z(j) = -7*r(j) - 2*s(j). Factor z(x).
x**2*(x - 7)*(x - 1)*(x + 1)
Let l be -1412 + 1385 - 407/(-15). Let i = 6107/15 + -407. What is f in -2/15*f**2 + i + 2/15*f**3 - l*f = 0?
-1, 1
Factor -2480/13*x + 768800/13 + 2/13*x**2.
2*(x - 620)**2/13
Let l(b) = 11*b + 1. Suppose -x + 5*x = 4. Let z be l(x). Determine o so that 15*o - 5*o**2 - z*o - 8*o + 10 = 0.
-2, 1
Let k(r) be the first derivative of 64/3*r + 2/15*r**5 - 5/6*r**4 + 53 + 32/3*r**2 - 4/3*r**3. Solve k(p) = 0 for p.
-2, -1, 4
Let w(p) be the first derivative of -10/69*p**3 + 0*p - 2/115*p**5 - 33 + 2/23*p**4 + 2/23*p**2. Let w(t) = 0. Calculate t.
0, 1, 2
Let c(w) be the third derivative of w**8/110880 - w**7/1540 + 9*w**6/440 - 101*w**5/30 + 10*w**2 + w. Let m(t) be the third derivative of c(t). Factor m(i).
2*(i - 9)**2/11
Let b(h) be the first derivative of 1/240*h**5 + 34/3*h**3 + 0*h**4 + 0*h**2 + 1/720*h**6 + 13 + 0*h. Let m(j) be the third derivative of b(j). Solve m(o) = 0.
-1, 0
Let l(c) be the first derivative of c**3/12 - 71*c**2/8 - 73*c/2 - 2518. Solve l(v) = 0 for v.
-2, 73
Let a = -41 + -11. Let z be (-2 - a/14)*(-168)/(-180). Let -4/5*l**2 - 4/5*l + z = 0. What is l?
-2, 1
Let v(h) = 4*h**3 + 3*h**2 - 26*h + 90. Let w be v(6). Let m = w - 902. What is x in 3/2*x**5 - 15/2*x**2 - 3/4*x**m - 9*x**3 + 3/2*x + 9/4 = 0?
-1, 1/2, 3
Find b, given that 33*b**3 + 0 - 3/2*b**4 - 3*b - 35/2*b**2 - 11*b**5 = 0.
-2, -3/22, 0, 1
Let z(q) be the first derivative of -q**7/70 + q**6/5 - 21*q**5/20 + 9*q**4/4 - 50*q**2 + 148. Let p(t) be the second derivative of z(t). Factor p(m).
-3*m*(m - 3)**2*(m - 2)
Suppose -6*g + 264 = 6*g. Suppose -60*k - g = -65*k - m, 5*m + 20 = k. Factor 1/3*w**k + 1/3*w**4 - 4/3*w**2 + 0 - 4/3*w**3 + 0*w.
w**2*(w - 2)*(w + 1)*(w + 2)/3
Let a be ((-35)/450)/(2/6) - (-1)/3. Let i(m) be the second derivative of 1/3*m**3 + 0 - 1/3*m**4 - a*m**5 + 2*m**2 - 4*m. Find k such that i(k) = 0.
-2, -1, 1
Suppose -3*m + 15 = 2*m. Suppose -5*c - m*h + 17 = -2, 3*c = h + 17. Factor -19*x - 53 + c - 5*x - 3*x**2.
-3*(x + 4)**2
Let x(m) be the second derivative of m**6/18 + m**5/3 - 5*m**4/36 - 40*m**3/9 - 10*m**2 + 7*m + 176. Solve x(k) = 0.
-3, -2, -1, 2
Factor -843/2 - 1/2*g**2 + 142*g.
-(g - 281)*(g - 3)/2
Let i = -126004 + 126006. Factor 3 + 15/2*m + 3/2*m**3 + 6*m**i.
3*(m + 1)**2*(m + 2)/2
Let x be 39*4/12 - (-3 - -1). Suppose -r + 20 = x. Solve -3*s**4 - 16*s**3 - 4*s**4 - s**r - s**5 - 8*s**2 - 3*s**4 = 0.
-2, -1, 0
Let v(t) be the first derivative of -1/210*t**5 + 0*t + 0*t**3 + 1/42*t**4 - 3*t**2 - 14. Let w(s) be the second derivative of v(s). Factor w(y).
-2*y*(y - 2)/7
Let c = 2 - -1. Suppose 3*n - c*u = -6*u + 39, -2*u = -5*n + 30. Find o, given that 10*o + n*o + 20*o**2 - 10*o = 0.
-2/5, 0
Let f(u) be the third derivative of -u**2 - 3/2*u**3 + 0 - 11/32*u**4 - 12*u + 1/80*u**5. Suppose f(c) = 0. Calculate c.
-1, 12
Determine c, given that -2304*c - 4*c**3 - 708*c**2 - 18816 - 1608*c + 440*c + 1397*c**2 - 897*c**2 = 0.
-24, -14
Let r(p) be the second derivative of p**7/210 - 29*p**6/150 - 3*p**5/10 + 694*p. Find l, given that r(l) = 0.
-1, 0, 30
Let z(h) = -57134*h**2 - 13520*h - 836. Let a(t) = t**2 + 3. Let s(n) = 12*a(n) + z(n). Find f such that s(f) = 0.
-20/169
Let i(t) = 6*t**3 + 284*t**2 - 542*t - 808. Let m(v) = -11*v**3 - 564*v**2 + 1086*v + 1618. Let z(u) = -7*i(u) - 4*m(u). Solve z(f) = 0 for f.
-136, -1, 3
Let t(i) be the third derivative of i**6/480 - 69*i**5/80 - 139*i**4/32 - 209*i**3/24 - i**2 + 113. Suppose t(l) = 0. What is l?
-1, 209
Let y(q) = -q**5 - 34*q**4 - 91*q**3 - 18*q**2 + 132*q + 6. Let m(t) = t**4 - t**3 + 2*t - 1. Let w(u) = -6*m(u) - y(u). Solve w(g) = 0 for g.
-24, -3, -2, 0, 1
Let j = -118 - -130. Solve 2*z - 7*z - z**2 + j*z + 2*z**2 = 0 for z.
-7, 0
Let y be (-15)/((-235)/75 + (-35)/21). Let t(r) be the first derivative of 0*r**3 + 0*r**2 + 1/4*r**5 + y*r**4 - 3 + 0*r. Factor t(a).
5*a**3*(a + 10)/4
Let c(r) = 38*r**4 - 1005*r**3 + 4302*r**2 - 1159*r + 3. Let d(v) = 75*v**4 - 2005*v**3 + 8605*v**2 - 2315*v + 5. Let n(s) = -5*c(s) + 3*d(s). Factor n(x).
5*x*(x - 23)*(x - 5)*(7*x - 2)
Let u(a) = -a**4 - 70*a**3 - 276*a**2 - 360*a + 6. Let l(v) = 2*v**4 + 212*v**3 + 828*v**2 + 1080*v - 20. Let f(k) = -3*l(k) - 10*u(k). Factor f(i).
4*i*(i + 3)**2*(i + 10)
Let o(m) be the first derivative of m**5 + 55*m**4/2 + 395*m**3/3 - 255*m**2 - 1504. Let o(d) = 0. What is d?
-17, -6, 0, 1
Factor -459/4*k**2 + 459/4 + 3/8*k**3 - 3/8*k.
3*(k - 306)*(k - 1)*(k + 1)/8
Let u = 3395789/7 - 485111. Factor 22/7*p**2 + u - 10*p.
2*(p - 3)*(11*p - 2)/7
Factor -210 - 1754/7*t + 2/7*t**3 - 282/7*t**2.
2*(t - 147)*(t + 1)*(t + 5)/7
Let m(b) be the second derivative of -1/22*b**4 - 1/660*b**6 - 2*b + 1/66*b**5 + 3*b**2 + 0 + 0*b**3. Let a(g) be the first derivative of m(g). Factor a(s).
-2*s*(s - 3)*(s - 2)/11
Let y(q) = q - 10. Let t(h) = -h**2 + 8*h. Let i be t(6). Let s be y(i). Factor -10*k**3 + 6*k + 3*k**4 - 5*k**3 - 3*k**3 + 12*k**3 - 3*k**s.
3*k*(k - 2)*(k - 1)*(k + 1)
Suppose 20*m - 60 = 17*m. Suppose m*z - 42 = 18. Factor -4/5 + 2/5*g**4 + 6/5*g - 6/5*g**z + 2/5*g**2.
2*(g - 2)*(g - 1)**2*(g + 1)/5
Let g be 2/24 