 of f(p). Find i such that u(i) = 0.
-1, 0, 2
Suppose 8 = 5*r - r. Let c be 7 + -8 + 3/1. Factor 2*w**c - 4 - 3*w**2 + 3*w**2 + r.
2*(w - 1)*(w + 1)
What is s in 2/9*s + 0 + 2/9*s**2 - 4/9*s**3 = 0?
-1/2, 0, 1
Let k(x) be the third derivative of -1/6*x**4 + 0*x**3 + 0 - 7*x**2 + 0*x + 0*x**5 + 1/120*x**6. Find o such that k(o) = 0.
-2, 0, 2
Let -9*d**4 + 6*d**3 - 2*d**5 + 13*d**5 - 8*d**5 = 0. What is d?
0, 1, 2
Let i be (((-2)/3)/1)/(140/(-105)). Factor -1 + i*n**2 - 1/2*n.
(n - 2)*(n + 1)/2
Let t(q) = 2*q**2 + 2*q - 1. Suppose -2*k + 3 = -k. Let w be (k/(-6))/(1/2). Let o(g) = g**3 - g + 1. Let i(x) = w*t(x) - o(x). Determine z so that i(z) = 0.
-1, 0
Let z(c) be the second derivative of c**8/672 - c**7/210 + c**6/240 - c**2/2 + 5*c. Let m(n) be the first derivative of z(n). What is p in m(p) = 0?
0, 1
Let o(h) = -9*h**3 + 21*h**2 - 31*h + 11. Let i(x) = -100*x**3 + 230*x**2 - 340*x + 120. Let w(b) = -4*i(b) + 45*o(b). Suppose w(j) = 0. Calculate j.
1, 3
Let s(r) be the second derivative of 0 - 1/90*r**5 - r + 2/27*r**3 + 0*r**2 + 1/54*r**4. Factor s(y).
-2*y*(y - 2)*(y + 1)/9
Suppose 2*l + 5 = -3*n, 2*n + 2 = -4*l + 4. Let t be (-3)/((-7)/(7/l)). Let 0 + t*z**4 + 0*z + 3/2*z**3 - 3*z**2 = 0. What is z?
-2, 0, 1
Let g = -2/909 - -3658/9999. Factor 0*l + g*l**5 + 2/11*l**3 + 0 + 6/11*l**4 + 0*l**2.
2*l**3*(l + 1)*(2*l + 1)/11
Let y be (-4 + 5)/(1/4). Determine u, given that -2/3*u**5 + 0 + 4/3*u**y + 0*u**3 + 2/3*u - 4/3*u**2 = 0.
-1, 0, 1
Let i(t) be the second derivative of -t**4/30 + t**3/15 + 2*t**2/5 - t. Factor i(f).
-2*(f - 2)*(f + 1)/5
Suppose -5*d = -10 - 5. What is y in 9/2*y**d - 33/2*y**2 + 19/2*y - 3/2 = 0?
1/3, 3
Let u(i) be the first derivative of 0*i + 0*i**4 + 1/360*i**6 + 1 + 1/2*i**2 + 1/180*i**5 + 0*i**3. Let w(o) be the second derivative of u(o). Factor w(f).
f**2*(f + 1)/3
Let m(j) be the third derivative of -1/90*j**5 + 0*j**3 + 0 + 1/315*j**7 + 0*j**6 + 0*j + 0*j**4 + 4*j**2. Factor m(z).
2*z**2*(z - 1)*(z + 1)/3
Let p(b) = b + 12. Let y be p(-10). Let h be (-4)/35*(-10 + 0). Factor -2/7*k**5 + 0 - 2/7*k - 12/7*k**3 + 8/7*k**y + h*k**4.
-2*k*(k - 1)**4/7
Suppose -3*u - 8 = -5*u. Let r(n) be the second derivative of -1/2*n**2 + n + 1/12*n**u + 0 + 0*n**3. Let r(s) = 0. What is s?
-1, 1
Let i(h) be the third derivative of -1/12*h**4 + 0*h**3 - 1/10*h**6 + 3*h**2 - 1/168*h**8 + 2/15*h**5 + 0*h + 0 + 4/105*h**7. Factor i(a).
-2*a*(a - 1)**4
Let k = 6 + -4. Suppose 0 = -10*p + 6*p. Solve p*g**k - 1/5*g**3 + 0 + 1/5*g = 0 for g.
-1, 0, 1
Suppose -5 + 11 = 3*l. Factor -x**3 - 5*x**l + 2*x**3 + 14*x**2 + 6*x + 2*x**3.
3*x*(x + 1)*(x + 2)
Suppose 0 = n - 4. Suppose c + n = 3*c. Factor q**2 + 4 - c*q - 4 + 1.
(q - 1)**2
Let w be 0 + (-4)/(-16) - 3/(-36). Let n(g) be the second derivative of 0 + 1/12*g**4 + 0*g**2 - w*g**3 - 2*g. Determine l so that n(l) = 0.
0, 2
Let l(z) = z - 1. Let o be l(4). Let b(a) = -a**3 + 3*a**2. Let i be b(o). Factor i*d + 2*d**5 + 1/2*d**3 + 0*d**2 + 5/2*d**4 + 0.
d**3*(d + 1)*(4*d + 1)/2
Suppose -7/2*v**5 + 0 - v - 5/2*v**2 + 9/2*v**3 + 5/2*v**4 = 0. Calculate v.
-1, -2/7, 0, 1
Suppose -l + 5*l = 0. Solve 2*r - 2*r + l*r - r**2 + 2*r = 0.
0, 2
Suppose -3*r - 27 = -5*u, -3*u + 26 = -u - 5*r. Suppose 5*d + u*p = -0*p + 23, 2*d - 6 = 2*p. Solve -g**2 - 1/2*g**5 + g**d + 0 + 1/2*g + 0*g**3 = 0.
-1, 0, 1
Suppose 1/2*f - 1/2*f**5 + 0*f**3 + f**4 + 0 - f**2 = 0. What is f?
-1, 0, 1
Let y(d) be the second derivative of d**4 - 2*d**3/3 - 5*d + 3. Suppose y(r) = 0. What is r?
0, 1/3
Let a(h) be the first derivative of -h**4/12 + 2*h**3/9 + h**2/6 - 2*h/3 + 51. Factor a(x).
-(x - 2)*(x - 1)*(x + 1)/3
Let 0 + 0*h**2 - 2/11*h**3 - 4/11*h**4 - 2/11*h**5 + 0*h = 0. Calculate h.
-1, 0
Let h(d) = d**3 + 3*d**2 - 3*d + 3. Let f = -12 + 14. Let m(z) = -2*z**3 - 3*z**2 + 3*z - 4. Let c(u) = f*m(u) + 3*h(u). Determine v, given that c(v) = 0.
1
Let b(r) be the third derivative of -r**8/20160 - r**7/2520 - r**5/15 + r**2. Let l(q) be the third derivative of b(q). Factor l(z).
-z*(z + 2)
Suppose 0 = 3*o - 4*k - 12, -3*o + 5*k = -5 - 7. Suppose -5*i - o*c = -18, -4*i - 3*c + 0*c = -14. Suppose 1/2*u**i + 0 + u - 1/2*u**3 = 0. Calculate u.
-1, 0, 2
Factor 0*c + 1/2*c**4 + 0 - 2*c**2 + 0*c**3.
c**2*(c - 2)*(c + 2)/2
Let v(j) be the second derivative of 0*j**2 - 8*j + 1/8*j**4 + 1/4*j**3 + 0. Determine m, given that v(m) = 0.
-1, 0
Let c(y) = -3*y**3 - 3*y - 2. Suppose 0*t = -t + 3, 0 = -5*x - 2*t - 24. Let l(p) = -4*p**3 + p**2 - 4*p - 3. Let i(v) = x*c(v) + 4*l(v). Factor i(w).
2*w*(w + 1)**2
Factor 0 - 2/5*l - 6/5*l**3 - 6/5*l**2 - 2/5*l**4.
-2*l*(l + 1)**3/5
Let r be 32/256 + ((-1)/8 - -2). Factor -26/5*i**3 - 2/5*i**5 + 24/5*i**r + 0 + 12/5*i**4 - 8/5*i.
-2*i*(i - 2)**2*(i - 1)**2/5
Let t be 6 - (-375)/(-35) - -5. Factor -6/7*d**4 + 10/7*d**3 - t*d**2 - 2/7*d + 0.
-2*d*(d - 1)**2*(3*d + 1)/7
Let y(v) be the second derivative of 0 + 0*v**2 + 4*v - 1/30*v**4 + 0*v**3. Factor y(r).
-2*r**2/5
What is t in 0*t**3 + 0*t**2 + 0*t + t**4 + 7/2*t**5 + 0 = 0?
-2/7, 0
Let p(c) = c**3 - 14*c**2 + 14*c - 7. Let j be p(13). Suppose -2*d = -0*d - j. Factor 0 - 2/5*t - 2/5*t**d + 4/5*t**2.
-2*t*(t - 1)**2/5
Let v = -26 - -54. Let t be v/8 - 3/2. Factor -2*p**t + p**3 + 2*p**3 - p**3.
2*p**2*(p - 1)
Let c(r) = -11*r**2 - 12*r + 6. Let b(f) = 4*f**2 + 4*f - 2. Let t(m) = -17*b(m) - 6*c(m). Factor t(k).
-2*(k - 1)**2
Let r(l) be the second derivative of l**6/15 + 2*l**5/5 + l**4 + 4*l**3/3 + l**2 + 11*l. Factor r(x).
2*(x + 1)**4
Let k(g) be the third derivative of -g**5/330 + g**4/66 - g**3/33 - 5*g**2. Factor k(j).
-2*(j - 1)**2/11
Determine p, given that 16/3 + 76/3*p**3 + 64/3*p + 100/3*p**2 + 4/3*p**5 + 28/3*p**4 = 0.
-2, -1
Let x be 435/216 - (2 + 0). Let w(f) be the third derivative of 0 - 3*f**2 - 1/90*f**5 - x*f**4 + 0*f**3 + 0*f. Suppose w(y) = 0. What is y?
-1/2, 0
Let y be (-10 - -11)*-6*(-1)/2. Let -2/9*s**y - 4/9*s + 0 + 2/3*s**2 = 0. What is s?
0, 1, 2
Let n be 62/93*3/10. Find t such that 1/5*t**3 + 0 + n*t**2 + 0*t = 0.
-1, 0
Let t(b) = 7*b**3 + 3*b**2 + 9*b + 5. Let f(k) = -6*k**3 - 2*k**2 - 8*k - 4. Let g = 8 - 13. Let n(u) = g*t(u) - 6*f(u). Solve n(a) = 0.
1
Let s(v) be the first derivative of v**5/70 - v**4/21 + v**3/21 - 4*v - 1. Let x(g) be the first derivative of s(g). Factor x(n).
2*n*(n - 1)**2/7
Let g(q) = q**2 + q. Let k be g(1). Factor 0*n**k - 2*n**5 + 0*n**5 + 4*n**3 - 2*n + 0*n**2.
-2*n*(n - 1)**2*(n + 1)**2
Let a be (-35)/(-15) + (-1)/1. What is t in 2/9*t**3 + 16/9 + 8/3*t + a*t**2 = 0?
-2
What is q in -1084 + q**2 - 5*q**2 + 32*q + 1020 = 0?
4
What is c in 1/6*c - 1/3*c**2 - 1/6*c**5 + 1/3*c**4 + 0 + 0*c**3 = 0?
-1, 0, 1
Let m(h) be the first derivative of -4*h**5/5 + 4*h**3/3 - 22. Determine k so that m(k) = 0.
-1, 0, 1
Factor -82*m**3 - 20*m**4 - 9*m**2 + 34*m**3 + 9*m**2 + 24*m + 44*m**2.
-4*m*(m - 1)*(m + 3)*(5*m + 2)
Let h(f) = -f**4 - f**3 - f. Let l(c) = -2*c**4 - 3*c**3 - 2*c**2 - 3*c + 1. Let p(y) = 12*h(y) - 4*l(y). What is x in p(x) = 0?
-1, 1
Let h be (15/3)/(2/4). Determine o so that 22*o**2 + 5 + h*o + 11*o + 1 + 6*o**3 - o**2 = 0.
-2, -1, -1/2
Suppose -5*m = -15, s + 0*m = 3*m - 21. Let t be (-3)/s + 0/1. Factor 9/4*h**2 + 1/2 - 7/4*h - 5/4*h**3 + t*h**4.
(h - 2)*(h - 1)**3/4
Suppose 5*h - 20 = h. Let m(n) be the first derivative of -1/3*n**3 - 1/5*n**h + 1/2*n**4 + 1 + 0*n + 0*n**2. Find z, given that m(z) = 0.
0, 1
Let l be 44/(-11) + 3 - (2 - 6). Let y = 453/5 - 90. What is f in -9/5*f**l - 12/5*f**2 - y*f + 0 = 0?
-1, -1/3, 0
Solve 15/2*c**3 + 21/2*c - 9/2 - 6*c**4 + 57/2*c**2 = 0.
-1, 1/4, 3
Suppose s - 2*s - 25 = -5*x, 3*x - 8 = 2*s. Let g be -1*(1 + x/(-4)). Factor 0 + g*t - 1/4*t**3 + 1/4*t**2.
-t*(t - 2)*(t + 1)/4
Determine p so that -37*p**5 + 8*p**4 + 8*p**3 + 4*p**2 + 2*p**3 + 39*p**5 = 0.
-2, -1, 0
Let u(f) be the third derivative of 0*f + 2*f**2 - 1/6*f**3 - 1/16*f**4 + 1/10*f**5 - 7/240*f**6 + 0. Determine l so that u(l) = 0.
-2/7, 1
Let x(l) be the third derivative of 3*l**8/112 + l**7/35 - l**6/10 - l**5/10 + l**4/8 + 5*l**2. What is b in x(b) = 0?
-1, 0, 1/3, 1
Let h(y) = y**3 + 16*y**2 - 17*y + 2. Let m be h(-17). Factor -1/3*p - 1/3 + 2/3*p**m.
(p - 1)*(2*p + 1)/3
Let f(g) = -5*g**3 - 25*g**2 + 15*g + 30. Let j(s) = -7*s**3 - 37*s**2 + 23*s + 45. Let i(p) = -8*f(p) +