/(-2). Suppose 0 = -5*u - y*v - 16, -12 = 2*u + v + 2*v. Factor u*s + 1/5*s**3 + 0 - 1/5*s**2.
s**2*(s - 1)/5
Suppose 34 = 3*f + 16, 4*f - 24 = -3*k. Factor -4/5*i**3 + k + 4/5*i + 2/5*i**4 - 2/5*i**2.
2*i*(i - 2)*(i - 1)*(i + 1)/5
Let x(b) be the third derivative of b**8/48 - 3*b**7/35 + 109*b**6/840 - 3*b**5/35 + b**4/42 + 152*b**2. Suppose x(u) = 0. Calculate u.
0, 2/7, 1
Let t(g) be the third derivative of 0*g + 0*g**4 - 2/21*g**3 + 0 - 7*g**2 + 1/105*g**5. Factor t(l).
4*(l - 1)*(l + 1)/7
Determine n, given that -7105 + 28401 + 139*n**3 + 132*n**2 - 137*n**3 + 2904*n = 0.
-22
Determine q, given that -2 - 13/2*q**2 - 1/2*q**4 + 3*q**3 + 6*q = 0.
1, 2
What is r in 8*r**2 + 0*r + 4*r - 22*r - 7*r**2 = 0?
0, 18
Let f(t) = -15*t**2 + 358*t - 224. Let b(z) = 45*z**2 - 1073*z + 674. Let m(i) = 3*b(i) + 8*f(i). Factor m(j).
5*(j - 23)*(3*j - 2)
Let x(j) be the second derivative of 2*j**6/15 + 3*j**5/5 + 2*j**4/3 + 10*j. Factor x(l).
4*l**2*(l + 1)*(l + 2)
Let d(l) be the third derivative of -l**7/1050 + l**6/60 + 23*l**5/300 + l**4/10 - 310*l**2. Factor d(s).
-s*(s - 12)*(s + 1)**2/5
Solve 162*k**5 - 2*k**2 - 166*k**5 + 7 - 12*k + 6*k**3 + 10*k**3 + 10*k**2 - 15 = 0.
-1, 1, 2
Let w(j) be the first derivative of -3*j**4/5 - j**3/5 + 6*j**2/5 + 3*j/5 + 28. Let w(g) = 0. What is g?
-1, -1/4, 1
Factor 59*q**2 + 3*q**3 + 62*q + 67*q - 4*q**2 + 77*q**2.
3*q*(q + 1)*(q + 43)
Let o(y) = y**4 + y**3 + 2*y**2 + 2*y + 1. Let j(g) = -5*g**4 - 21*g**3 - 14*g**2 + 18*g + 15. Let z(n) = -j(n) - o(n). Suppose z(p) = 0. Calculate p.
-4, -1, 1
Let y(b) = b**3 + 6*b**2 - 2*b - 8. Let h be y(-6). Solve 0*l - 1/7*l**2 + 0*l**3 + 1/7*l**h + 0 = 0 for l.
-1, 0, 1
Let c = 9 - 7. Suppose -6*l - l + 4*l**5 + 24*l**3 + 11*l + 16*l**4 + 16*l**c = 0. What is l?
-1, 0
Factor 0*y + 0 + 2/17*y**4 + 450/17*y**2 + 60/17*y**3.
2*y**2*(y + 15)**2/17
Let v(c) be the third derivative of -c**7/280 + c**6/40 - c**4/2 + 2*c**3 - 63*c**2 - 5. Factor v(b).
-3*(b - 2)**3*(b + 2)/4
Let n = 1448 + -4342/3. Factor n*a + 0 + 5/3*a**3 + 7/3*a**2.
a*(a + 1)*(5*a + 2)/3
Let b be 12/66 - 106/(-22). Find c, given that 465*c + 54*c**b - 940*c**2 + 925*c**3 - 440*c**4 - 72 + 26*c**5 - 18 = 0.
3/4, 1, 2
Let c = 19344 + -19323. Factor -c*q + 147/2 + 3/2*q**2.
3*(q - 7)**2/2
Let k = 5502 + -5497. Factor -k*n - 5/4*n**2 - 15/4.
-5*(n + 1)*(n + 3)/4
Suppose 2*s + 112 = 6*s. Let r = -24 + s. Factor 0*t + 0*t**r - 4/11*t**2 + 6/11*t**3 + 0 - 2/11*t**5.
-2*t**2*(t - 1)**2*(t + 2)/11
Let b(c) be the third derivative of 2*c**7/735 - c**6/42 + c**5/21 + 5*c**4/42 - 4*c**3/7 - c**2 + 45*c. Suppose b(z) = 0. Calculate z.
-1, 1, 2, 3
Factor -1/4*i**2 + 0 - 3/4*i.
-i*(i + 3)/4
Suppose -9*l - 45 = -4*l. Let p be (-5)/12*l/(162/1680). Let p*d**3 - 124/3*d**2 - 98/9*d**4 - 16/9 + 136/9*d = 0. What is d?
2/7, 1, 2
Let b(w) = -4*w**2 + 189*w - 206. Let k(c) = 23*c**2 - 1134*c + 1230. Let f(m) = -34*b(m) - 6*k(m). Determine r so that f(r) = 0.
1, 188
Let x = -11875/2 - -5940. Factor -25/2*j - 5/2*j**2 - 15/2 + x*j**3.
5*(j - 3)*(j + 1)**2/2
What is b in 34 + 0 - 6 - 3 - 5*b**2 - 20*b = 0?
-5, 1
Factor 371 + 66*o - 5*o**2 - 8 + 0*o**2 + 8*o**2.
3*(o + 11)**2
Let u(h) be the first derivative of 12*h**5/5 - 44*h**4 + 36*h**3 + 28*h**2 - 85. Factor u(k).
4*k*(k - 14)*(k - 1)*(3*k + 1)
Determine l, given that -21 + 24*l**2 - 17*l**2 + 36*l - 3*l**2 - 67 = 0.
-11, 2
Let a(l) be the first derivative of -16*l**6/3 - 4*l**5 + 177. Let a(v) = 0. Calculate v.
-5/8, 0
Let j = -940 + 946. Let n(r) be the second derivative of 1/27*r**4 + 0*r**3 + 0 - 1/135*r**j + 0*r**5 - 1/9*r**2 + 4*r. Find q such that n(q) = 0.
-1, 1
Factor 0 - 3/4*u**4 + 0*u**2 - 3/4*u**3 + 0*u.
-3*u**3*(u + 1)/4
Let o(u) be the first derivative of -u**7/2100 + u**6/450 - u**3/3 + 2. Let m(h) be the third derivative of o(h). Suppose m(z) = 0. What is z?
0, 2
Let s(f) be the second derivative of 5*f - 5/102*f**4 - 1/170*f**5 + 0 - 3/17*f**2 - 7/51*f**3. Factor s(q).
-2*(q + 1)**2*(q + 3)/17
Let f(c) be the second derivative of -13*c + 1/3*c**4 + 0*c**3 - c**2 + 0 + 0*c**5 - 1/15*c**6. Solve f(b) = 0 for b.
-1, 1
Let m(y) be the first derivative of y**6/210 - y**5/70 - 27*y + 13. Let q(t) be the first derivative of m(t). Let q(h) = 0. Calculate h.
0, 2
Find q such that -15/2*q**3 + 0*q - 3/2*q**4 + 0 - 6*q**2 = 0.
-4, -1, 0
Let w be ((-12)/(-21))/((-12)/(-42)). Find z, given that z**3 + 16*z**w + z**3 + 2*z**3 + 16*z = 0.
-2, 0
Let f(m) be the third derivative of m**8/2184 + m**7/91 + 7*m**6/390 + 202*m**2. Solve f(s) = 0.
-14, -1, 0
Let o(t) be the second derivative of -1/100*t**5 - 1/60*t**4 + 1/150*t**6 + 0 - 3*t + 1/30*t**3 + 0*t**2. Let o(j) = 0. What is j?
-1, 0, 1
Let t = -16479/20 - -824. Let j(c) be the third derivative of 1/8*c**4 + 0 - 10*c**2 - t*c**5 + 0*c**3 + 1/70*c**7 - 1/40*c**6 + 0*c. Factor j(a).
3*a*(a - 1)**2*(a + 1)
Let w(d) be the second derivative of d**7/42 + d**6/5 + d**5/4 + 2*d + 18. Solve w(m) = 0.
-5, -1, 0
Let v(t) be the first derivative of t**4/12 + 9*t - 11. Let h(w) be the first derivative of v(w). Solve h(a) = 0 for a.
0
Let w(b) = b**3 + 2*b**2 - 2*b. Let r be w(-2). Let y = 24 - r. Factor 2*c**3 + y*c**2 - 19*c**2 - 3*c**3.
-c**2*(c - 1)
Let s(g) be the second derivative of 1/60*g**5 + 0 + 0*g**4 + 0*g**2 - 1/18*g**3 + 5*g. Factor s(a).
a*(a - 1)*(a + 1)/3
Let z(f) be the third derivative of f**5/48 - 45*f**4/32 + 125*f**3/12 - 23*f**2 + 2. Determine m, given that z(m) = 0.
2, 25
What is p in 13*p**4 + 8*p**3 + 18*p**4 + 10*p**4 - 52*p**4 + 13*p**4 + 8*p + 12*p**2 + 2 = 0?
-1
Let y(t) = t**3 - 9*t**2 + 3*t - 7. Let q be y(10). Let k = 123 - q. Let k*b + 1/3*b**2 + 0 = 0. What is b?
0
Let x(i) be the third derivative of i**7/840 - i**6/80 - 9*i**5/80 - i**4/24 + 3*i**3/2 - 108*i**2. Factor x(z).
(z - 9)*(z - 1)*(z + 2)**2/4
Let f(o) be the second derivative of o**6/50 - 21*o**5/100 + 11*o**4/20 - o**3/2 - 166*o. Determine d, given that f(d) = 0.
0, 1, 5
Let o(f) be the second derivative of f**5/120 + 5*f**4/72 - 25*f**3/36 - 125*f**2/12 + f + 53. Find d, given that o(d) = 0.
-5, 5
Let l = 3 - -52. Factor 13*t**4 - 162 - 29*t**3 - 2*t**5 + 9*t**4 - 3*t - l*t**3 + 57*t + 108*t**2.
-2*(t - 3)**4*(t + 1)
Let h(y) be the third derivative of -y**6/48 + y**5/24 + 5*y**4/48 - 5*y**3/12 + 10*y**2 - 1. Factor h(u).
-5*(u - 1)**2*(u + 1)/2
Suppose -q = -12*q + 22. Let t(y) be the third derivative of 0*y + 1/36*y**5 + q*y**2 + 0*y**3 + 1/630*y**7 + 0 + 1/36*y**4 + 1/90*y**6. Factor t(w).
w*(w + 1)**2*(w + 2)/3
Factor 1/5*l**2 + 21/5*l - 22/5.
(l - 1)*(l + 22)/5
Let d be (30/(-2800))/((-18)/8). Let f(v) be the third derivative of -1/42*v**4 - v**2 - d*v**5 + 0*v - 1/21*v**3 + 0. Factor f(l).
-2*(l + 1)**2/7
Let k(u) be the third derivative of -u**7/168 - 13*u**6/8 - 1597*u**5/12 - 1235*u**4 - 14440*u**3/3 - 282*u**2. Factor k(x).
-5*(x + 2)**2*(x + 76)**2/4
Let i(q) be the first derivative of 2*q**3/3 - 12*q**2 - 26*q + 567. Factor i(f).
2*(f - 13)*(f + 1)
Let p = -48862/3 + 16151. Let j = p + 137. Solve -j - 2/9*m**2 + 8/9*m = 0 for m.
1, 3
Let -36*i**4 - 100*i - 6875*i**2 - 40 + 65*i**3 + 6905*i**2 + 11*i**4 = 0. Calculate i.
-1, -2/5, 2
Let a = -13/73 - -7177/949. Factor 6/13*o**4 - 40/13*o**3 + 32/13 + a*o**2 - 96/13*o.
2*(o - 2)**3*(3*o - 2)/13
Let t(j) = 14*j**3 - 113*j**2 + 9*j - 4. Let s be t(8). What is g in 4/3*g**2 + 8/3*g - s = 0?
-3, 1
Let m(x) be the second derivative of -5*x**4/12 + 170*x**3 - 26010*x**2 + 2*x - 315. Let m(y) = 0. What is y?
102
Let a be 19/38*4/(-18)*-24. Determine y, given that 5/2*y + 1/3 - a*y**3 + 4*y**2 = 0.
-1/4, 2
Suppose -4*z = -5*q - 38, 24*z + 3*q = 21*z - 12. What is i in 1/4*i**4 + 0*i**3 + 0 - 1/4*i**z + 0*i = 0?
-1, 0, 1
Suppose 0 = 3*s - q + 8, -11 + 3 = -s + 3*q. Let n = -2 - s. Solve -8*p**2 - 2*p - n*p - 5*p**3 + 8*p**4 - 9*p**4 = 0.
-2, -1, 0
Let v(m) be the second derivative of -3*m**5/100 + 21*m**4/20 - 39*m**3/10 + 57*m**2/10 + 2*m + 15. Factor v(p).
-3*(p - 19)*(p - 1)**2/5
Let w(c) be the second derivative of c**7/63 + 11*c**6/45 - c**5/2 - 35*c**4/18 + 14*c**3/9 + 8*c**2 + 35*c. Find s, given that w(s) = 0.
-12, -1, 1, 2
Let t = 1113/4292 + -10/1073. Factor 0*u**2 + 1/2*u**3 - 1/2*u + 1/4 - t*u**4.
-(u - 1)**3*(u + 1)/4
Let i(k) be the first derivative of 1/18*k**3 - 28 + 0*k - 1/