 p be (1 + o)/((-6)/(-6)). Let t(l) = p*n(l) - 4*u(l). Factor t(x).
(x + 1)*(5*x + 2)
Suppose -19*a + 9*a + 40 = 0. Let t(s) be the second derivative of 1/6*s**2 + 0*s**3 + 0 + 3*s - 1/36*s**a. Factor t(x).
-(x - 1)*(x + 1)/3
Let o(k) be the second derivative of 3*k**4/32 + 7*k**3/8 - 51*k**2/16 - 5*k - 12. Factor o(l).
3*(l - 1)*(3*l + 17)/8
Suppose 0 = j - 2*f, -45 = j - 6*j + f. Let n(x) = x**2 - 8*x - 20. Let r be n(j). Let -4*b**2 - 32/3*b**3 + r + 8/3*b - 4*b**4 = 0. What is b?
-2, -1, 0, 1/3
Let z(v) = 7*v**5 + 15*v**4 + 17*v**3 + 13*v**2 + 8*v - 4. Let c(b) = b**5 - b**3 + b**2 + 2*b - 1. Let m(i) = 4*c(i) - z(i). Determine s, given that m(s) = 0.
-3, -1, 0
Let h = 61/21 + -482/231. Let m(t) be the second derivative of -h*t**3 + 10*t + 3/22*t**4 + 0 - 1/110*t**5 + 27/11*t**2. Let m(k) = 0. Calculate k.
3
Let d(s) be the first derivative of 0*s - 2/21*s**3 - 2/35*s**5 - 6 - 1/7*s**4 + 0*s**2. Factor d(o).
-2*o**2*(o + 1)**2/7
Let s(o) be the third derivative of 0 + 0*o**4 - 1/42*o**7 - 3*o**2 - 1/10*o**6 + 0*o - 1/15*o**5 + 0*o**3. Find t, given that s(t) = 0.
-2, -2/5, 0
Let d(p) be the third derivative of 1/660*p**6 + 15*p**2 - 2/33*p**3 + 0 + 0*p - 1/110*p**5 - 5/132*p**4 + 1/1155*p**7. Factor d(u).
2*(u - 2)*(u + 1)**3/11
Let c be (2/4)/(7/14). Let w(g) = -3*g**2 + 3*g - 21. Let p(f) = -f - 1. Suppose 3 + 6 = -z. Let u(a) = c*w(a) + z*p(a). Suppose u(t) = 0. What is t?
2
What is z in -9/4*z**3 + 3/8*z**4 + 21/8*z**2 + 9/4*z - 3 = 0?
-1, 1, 2, 4
Suppose -4 = -3*t + h, -2*t - h = 19 - 15. What is w in 1/5*w**4 - 3/5*w**3 + t + 0*w + 2/5*w**2 = 0?
0, 1, 2
Let z be ((-270)/8)/(-3) + 59 + -64. Factor 11/4*f**2 + 1/4*f**3 + 35/4*f + z.
(f + 1)*(f + 5)**2/4
Let -2/5*q**2 + 16/5*q - 8/5 + 2*q**4 - 14/5*q**3 - 2/5*q**5 = 0. Calculate q.
-1, 1, 2
Let u(k) = -13*k**2 - 160*k + 679. Let l(n) = -5*n**2 - 80*n + 339. Let d(f) = -7*l(f) + 3*u(f). Determine v, given that d(v) = 0.
6, 14
Let w(z) = 4*z - 12. Suppose 0 = 5*j + 3 + 82. Let d = j + 21. Let i(o) = o**2 - 8*o + 25. Let k(y) = d*i(y) + 9*w(y). Factor k(h).
4*(h - 1)*(h + 2)
Let v(y) be the first derivative of -y**8/1680 + y**7/280 - y**6/180 - 14*y**3/3 - 11. Let k(c) be the third derivative of v(c). Factor k(t).
-t**2*(t - 2)*(t - 1)
What is p in 31/2*p**3 + 58*p - 181/3*p**2 - 7/6*p**4 - 12 = 0?
2/7, 1, 6
Let g(z) be the second derivative of -z**7/168 - z**6/20 - z**5/10 + z**4/3 + 2*z**3 + 4*z**2 + 54*z - 1. Find i, given that g(i) = 0.
-2, 2
Let i be (68614/(-585))/(-26) - (-5)/(-45). Let 24/5*z - 8/5 - i*z**2 + 6/5*z**3 = 0. What is z?
2/3, 1, 2
Suppose 18*i - 548 = -476. Factor 0 - 36/5*m**3 + 8/5*m**2 + 28/5*m**i + 0*m.
4*m**2*(m - 1)*(7*m - 2)/5
Factor 2/15*r**4 + 0*r**2 + 0 + 0*r + 12/5*r**3.
2*r**3*(r + 18)/15
Suppose -42*y + 25*y + 34 = 0. Factor 0 + 2/3*n - 1/3*n**3 + 1/3*n**y.
-n*(n - 2)*(n + 1)/3
Let w be 10/(-40) - (-1)/4. Suppose -3*b - 2*b + 20 = w. Determine k so that -5*k**2 - b + 4 - 3*k + k**2 + 1 = 0.
-1, 1/4
Suppose 8*t - 12*t = -96. Factor -6*b**4 - 32*b**2 + t*b - 3547 - 24*b**3 + 2*b**4 + 3583.
-4*(b - 1)*(b + 1)*(b + 3)**2
Suppose 5*l - 151 = -3*o, -4*o + 4 = l - 16. What is p in -l + p**2 + 12*p + 2*p + 113 + 4*p = 0?
-9
Let a be (-9 + 8)*0/2*1. Let l(x) be the third derivative of 0*x**3 + a*x + 0 - 1/210*x**5 - 1/42*x**4 + x**2. Factor l(t).
-2*t*(t + 2)/7
Let n(c) be the third derivative of -c**7/126 - c**6/72 + 5*c**5/6 + 20*c**4/9 - 400*c**3/9 - 41*c**2 + c. Solve n(u) = 0 for u.
-4, 2, 5
Let s(a) = -2*a**3 + 37*a**2 + 18*a + 23. Let z be s(19). What is h in 0 + 0*h - 1/5*h**3 + 0*h**z + 0*h**2 + 1/5*h**5 = 0?
-1, 0, 1
Let i(s) be the third derivative of -s**8/112 + s**7/14 + 53*s**6/40 + 131*s**5/20 + 16*s**4 + 22*s**3 + 104*s**2 - 2. What is w in i(w) = 0?
-2, -1, 11
Let b(o) be the second derivative of -o**4/3 - 2*o**3 + 36*o**2 - 121*o. Determine y so that b(y) = 0.
-6, 3
Suppose 9/2 - 11/2*c**2 - 3/4*c**3 + 47/4*c = 0. What is c?
-9, -1/3, 2
Let g be (0/(-2))/(-1 + 0). Suppose 5*t - 10 = -g*t. Suppose -5 + 6 - 5 + 0*b**2 - t*b**2 - 6*b = 0. Calculate b.
-2, -1
Let a(q) be the third derivative of q**8/1680 + q**7/63 + 5*q**6/36 - q**4/8 - 13*q**2. Let h(n) be the second derivative of a(n). Factor h(t).
4*t*(t + 5)**2
Let v(p) be the second derivative of p**7/84 + p**6/30 + p**5/40 - 96*p. Solve v(g) = 0.
-1, 0
Suppose -10 = 2*x, -104*f - 2*x - 20 = -106*f. Factor 0*u + 0 + 11/9*u**3 - 7/9*u**4 - 5/9*u**2 + 1/9*u**f.
u**2*(u - 5)*(u - 1)**2/9
Let x = 369 + -369. Let v(d) be the first derivative of -1/2*d**2 + x*d + 3 + 5/6*d**3. Factor v(z).
z*(5*z - 2)/2
Let l(x) = 4*x**2 - 22*x - 20. Let r(k) = -2*k**2 + 22*k + 20. Let j(g) = -2*l(g) - 3*r(g). Factor j(h).
-2*(h + 1)*(h + 10)
Let j(d) be the third derivative of 0*d**3 + 4/3*d**4 - 2/3*d**5 + 0 - 23/30*d**6 + 0*d - 2/21*d**7 + 36*d**2. Factor j(q).
-4*q*(q + 1)*(q + 4)*(5*q - 2)
Let n(u) be the second derivative of 0 + 0*u**2 + 3/8*u**5 - 1/5*u**6 + 0*u**3 - 41*u + 0*u**4 - 1/28*u**7. Suppose n(x) = 0. What is x?
-5, 0, 1
What is s in -4/3*s - 16 + 52/3*s**2 = 0?
-12/13, 1
Let o(p) be the first derivative of -7*p**3/3 + 61*p**2/2 + 18*p - 197. Factor o(g).
-(g - 9)*(7*g + 2)
Let i(f) be the second derivative of f**6/120 - f**5/15 + f**4/24 + f**3 + f**2 + 22*f. Let o(h) be the first derivative of i(h). Factor o(b).
(b - 3)*(b - 2)*(b + 1)
Let j(r) = -4*r**2 - 7*r + 5. Let p be j(-3). Let d be (3/15)/((-1)/p). What is n in 2/3 - 1/3*n**d - 1/3*n = 0?
-2, 1
Let f(a) = a**2 + 1. Suppose -25*l + 5 = 30. Let n(h) = 35*h**3 - 24*h**2 - 10*h + 1. Let j(z) = z + 1. Let i be j(0). Let y(u) = i*f(u) + l*n(u). Factor y(w).
-5*w*(w - 1)*(7*w + 2)
Let z = 25/3 + -8. Let h(i) be the third derivative of 4*i**2 + 0 + z*i**3 - 7/30*i**5 - 1/6*i**4 + 0*i - 1/15*i**6. Factor h(d).
-2*(d + 1)**2*(4*d - 1)
Let g(s) be the first derivative of -4*s + 0*s**3 + 5 - 3*s**2 + 1/2*s**4. Find l, given that g(l) = 0.
-1, 2
Let d = -88/9 - -59/6. Let q(s) be the second derivative of -s + 0*s**2 - 1/90*s**5 + 0 + d*s**4 - 1/27*s**3 + 2/189*s**7 - 1/45*s**6. Solve q(k) = 0 for k.
-1, 0, 1/2, 1
Let 32/3*o**2 + 0 + 6*o = 0. What is o?
-9/16, 0
Let r(w) = 2*w**3 + 4*w**2 - 32*w - 46. Let s(g) = 8*g**3 + 17*g**2 - 130*g - 183. Let u(x) = 9*r(x) - 2*s(x). Factor u(c).
2*(c - 4)*(c + 2)*(c + 3)
Let n be -2 - 28/(-13) - 216/(-117). Suppose 0 = -a + 3*g, 2*a - 10 = -n*a + 2*g. Find f such that f**a - 2/3*f - 1/3*f**2 - 1/3*f**5 + 1/3*f**4 + 0 = 0.
-1, 0, 1, 2
Let d be 1*(-4)/20*-2. Solve d*c + 1/5 + 1/5*c**2 = 0 for c.
-1
What is x in 41/5*x**2 + 0 + 0*x - 1/5*x**3 = 0?
0, 41
Let s(i) be the second derivative of i + 7/36*i**3 + 1/24*i**4 + 0 + 1/6*i**2. Determine r so that s(r) = 0.
-2, -1/3
Let q(g) be the second derivative of g**5/20 - 9*g**3/2 + 27*g**2 + 550*g. Determine j, given that q(j) = 0.
-6, 3
Let j = -102 - -101. Let x(q) = -12*q**3 - 20*q**2 + 22*q + 10. Let d(t) = -t**3 + t**2 + t - 1. Let c(u) = j*x(u) - 2*d(u). Find h such that c(h) = 0.
-2, -2/7, 1
Let g be (-119 - 2/2)*(-6)/(-3). Let x be -1 + (-17)/(-4) - g/(-192). Factor 2/7*v**4 + 8/7 + 26/7*v**x - 12/7*v**3 - 24/7*v.
2*(v - 2)**2*(v - 1)**2/7
Factor 6*x**3 + 2738 + 1342*x + 2*x**3 - 3*x**3 - 146*x**2 - 3*x**3 + 1248*x.
2*(x - 37)**2*(x + 1)
Let j = 14785/8 - 1847. Find d, given that -3/8*d**2 - 9/8*d**3 - 3/8*d**5 - j*d**4 + 0*d + 0 = 0.
-1, 0
Suppose -5*t - 3*k = -6*k - 1078, -452 = -2*t - 4*k. Let l = 218 - t. Factor 2/11*v**4 - 4/11*v + 4/11*v**3 - 2/11 + l*v**2.
2*(v - 1)*(v + 1)**3/11
Solve -198/7*p - 324/7 + 2/7*p**3 - 24/7*p**2 = 0 for p.
-3, 18
Let r(k) be the first derivative of k**4/10 + 2*k**3/15 - 77. Determine v so that r(v) = 0.
-1, 0
Let n(l) be the third derivative of -l**8/84 + 8*l**7/105 - l**6/6 + 2*l**5/15 + 98*l**2. Factor n(f).
-4*f**2*(f - 2)*(f - 1)**2
Solve 2*c**3 - c**2 - 5/2*c + 2*c**4 - 1 + 1/2*c**5 = 0 for c.
-2, -1, 1
Let p(q) be the first derivative of 5*q**2/2 - 14*q + 9. Let s be p(6). Factor -8*r**2 + s*r**2 - 9*r**2.
-r**2
Let o(g) = 13*g**2 - 10*g. Let x(c) = -11*c**2 + 6*c - 4. Let u(r) = -10*r**2 + 6*r - 3. Let l(f) = -4*u(f) + 3*x(f). Let d(w) = 11*l(w) - 6*o(w). Factor d(p).
-p*(p + 6)
Let u(n) be the second derivative of 20*n + 14/15*n**6 - 4/3*n**3 + 0*n**2 - 16/5*n**5 + 11/3*n**4 + 2. What is p in u(p) = 0?
0, 2/7, 1
Let i b