Suppose -3*z - z + 12 = 0. Let 7*o**2 + 10*o**z - 6*o**2 - 9*o**2 + 0*o**2 - 2*o**4 = 0. Calculate o.
0, 1, 4
Let q = -113 + 115. Solve -16*y + q*y + 5*y**2 + 3*y + y = 0 for y.
0, 2
Suppose 0 = 509*g - 500*g - 117. Let t(n) be the third derivative of 1/24*n**6 + 0*n**4 + 0 + 1/12*n**5 - 1/21*n**7 + g*n**2 + 0*n + 0*n**3. Factor t(m).
-5*m**2*(m - 1)*(2*m + 1)
Let y be (-1)/(-3*(-1)/(-9)). What is t in 5*t**4 + 2*t + 5*t**3 - 8*t**2 - 6*t**5 + y*t**4 - 2*t**3 + t**3 = 0?
-1, 0, 1/3, 1
Let t(y) = -45*y**5 - 125*y**4 + 30*y**3 + 186*y**2 - 40*y. Let n(o) = o**2. Let d(i) = 6*n(i) - t(i). Let d(q) = 0. What is q?
-2, 0, 2/9, 1
Let d(f) be the second derivative of 12*f + 0 - 1/5*f**5 + 2/3*f**3 - 1/3*f**4 + 2*f**2. Factor d(z).
-4*(z - 1)*(z + 1)**2
Let b(h) = -h**3 + 18*h**2 + 19*h + 8. Let m be b(19). Determine r, given that 3*r - 4*r**2 + r + r + m - r = 0.
-1, 2
Let n(b) be the third derivative of 0 - 1/5*b**6 + 12*b**2 + 1/15*b**5 - 1/21*b**8 + 6/35*b**7 + 0*b**4 + 0*b**3 + 0*b. Factor n(d).
-4*d**2*(d - 1)**2*(4*d - 1)
Solve 28/5*a**2 + 4/5*a**3 - 24/5 - 4/5*a - 4/5*a**4 = 0 for a.
-2, -1, 1, 3
Let q be (-28)/(-42) + (-284)/480. Let b(k) be the third derivative of -q*k**4 - 3/100*k**5 - 1/10*k**3 - 3*k**2 - 1/200*k**6 + 0 + 0*k. Factor b(w).
-3*(w + 1)**3/5
Let d be (3 + 0)/((-3)/(-2)). Suppose 2*v = 3*k - 6*k + 38, -d*v + 30 = -k. Find j such that 14*j**2 - v*j**2 - 21*j**3 + 3*j**4 + 8*j**2 + 3*j + 9*j**4 = 0.
-1/4, 0, 1
Let n(t) be the first derivative of 1/20*t**4 + 1/10*t**3 + 1 - 3/100*t**5 - 6*t - 3/10*t**2. Let b(m) be the first derivative of n(m). Factor b(g).
-3*(g - 1)**2*(g + 1)/5
Let u(s) = -s**2 + s - 1. Let a(o) = -13*o**2 + 10*o**2 - 6*o**2 + 2*o**2 - o. Let j(g) = 3*a(g) - 24*u(g). Solve j(q) = 0.
1, 8
Suppose -56*b - 104*b - 15*b - 166*b = 0. Find q, given that -1/8*q**2 + 1/8*q**4 + b*q - 1/8*q**5 + 0 + 1/8*q**3 = 0.
-1, 0, 1
Suppose -46*q = 69*q. Factor q*p + 2/7*p**2 + 0 + 2/7*p**5 + 6/7*p**4 + 6/7*p**3.
2*p**2*(p + 1)**3/7
Let h(a) = -1 + 1 + 4*a**2 + 1 + 2 - 3*a. Let x(k) = k**2 + 1. Let p(d) = d**2 - 8*d - 8. Let i be p(9). Let j(o) = i*h(o) - 3*x(o). Factor j(l).
l*(l - 3)
Let v(m) = -45*m**3 + 6 + 44*m**3 + 23*m**2 - 1 - 34*m + 12*m. Let n be v(22). What is j in 0*j + 2/13*j**3 - 2/13*j**n + 0 + 0*j**4 + 0*j**2 = 0?
-1, 0, 1
Let z(l) be the first derivative of 3*l**5/5 + 9*l**4/4 - l**3 - 9*l**2/2 - 51. Let z(r) = 0. Calculate r.
-3, -1, 0, 1
Let k(m) be the first derivative of -m**6/1530 - 3*m**5/340 - m**4/51 - 13*m**3/3 - 20. Let q(u) be the third derivative of k(u). What is f in q(f) = 0?
-4, -1/2
Let d be 8/4 + (-4 - -4). Solve 4*z**2 - 5*z + 3 + z**d - 13 = 0.
-1, 2
Suppose 3*j - 7*j = 3*b + 15, 0 = -4*j + 4*b - 36. Let r be (-4)/5*15/j. Factor -g**2 - 1 - r + 5 + g.
-(g - 2)*(g + 1)
Let p be (-21)/(-7) - (0 - 2). Suppose p*d + 2 = 3*s, d + 3*s - 5 = 9. Suppose -4*y - 2*y**3 + 14*y**2 + 0*y - 20*y**d = 0. What is y?
-2, -1, 0
Let l be 1 + (9 - 6) + -1. Let k(s) be the third derivative of -3/70*s**5 + 0 - 1/420*s**6 - 3*s**2 + 0*s - 9/7*s**l - 9/28*s**4. Factor k(c).
-2*(c + 3)**3/7
Let q be 20*(4 - (-135)/(-20)). Let h = q - -167/3. Factor 4/3*y + h*y**4 + 0 + 0*y**3 - 2*y**2.
2*y*(y - 1)**2*(y + 2)/3
Factor 5*d**3 + 7*d**2 - 2915 - 50*d - 38*d + 3086 - 3*d**3 - 8*d.
(d - 3)**2*(2*d + 19)
Let h(w) = -w**5 - w**4 + 2*w. Let f be 12/4 + (2 - 1). Let u(x) = 3*x**5 + 0*x**4 - 5*x**4 - 5*x + 2*x**4 + 5*x**f. Let r(l) = -10*h(l) - 4*u(l). Factor r(t).
-2*t**4*(t - 1)
Suppose -2*r + 2*s - 96 = -7*r, s = -2*r + 39. Let f = 10 + r. Factor -8*i**2 + 21*i**2 - f*i**3 + 32*i**2 + 4 + 28*i - 49*i**4.
-(i - 1)*(i + 1)*(7*i + 2)**2
Let k = 106/11 + -625/66. Let t(h) be the first derivative of 0*h**2 + 0*h + 6 + 1/16*h**4 - k*h**3. Factor t(l).
l**2*(l - 2)/4
Let r(x) be the second derivative of -x**4/12 - x**3 - 31*x. Factor r(w).
-w*(w + 6)
Let a(b) be the third derivative of 0*b + 0*b**3 - 19/24*b**6 + 1/6*b**7 + 2/3*b**5 + 0 + 16*b**2 + 5/6*b**4. Determine k so that a(k) = 0.
-2/7, 0, 1, 2
Let w(a) = 2*a**3 - 17*a**2 - 9*a - 6. Let m be w(9). Let g be m*(-678)/630 + (-4)/(-28). Factor -21*q - 15 - g*q**2 - 3/5*q**3.
-3*(q + 1)*(q + 5)**2/5
Suppose -3*x - 63 + 51 = 0. Let a be 0 + (-14)/x - 3. Factor 1/2*l**3 + 0*l + 0 - l**2 + a*l**4.
l**2*(l - 1)*(l + 2)/2
Let q be (-9)/(-21)*7 - 2*2. Let l be (-6)/(-180)*129 - q/5. Find h such that 3*h**3 - l*h**4 - 3*h + 6*h**2 - 3/2 = 0.
-1, -1/3, 1
Suppose -2*z = 3*z + 190. Let k = z + 42. Factor 0*a - 2/5*a**2 + 0 + 2/5*a**k - 2/5*a**5 + 2/5*a**3.
-2*a**2*(a - 1)**2*(a + 1)/5
Let r(t) be the second derivative of t**8/5040 - t**7/630 + t**6/270 + 4*t**4/3 - 14*t. Let p(j) be the third derivative of r(j). Let p(h) = 0. Calculate h.
0, 1, 2
Factor -739*r - 105*r + 284804*r**2 - 284814*r**2 - 336.
-2*(r + 84)*(5*r + 2)
Let z = 24/77 + -2/77. Let h be 9/(-42)*8/(-6). Factor z*l + 2/7 - 4/7*l**3 + 2/7*l**5 + h*l**4 - 4/7*l**2.
2*(l - 1)**2*(l + 1)**3/7
Let m(n) = -n**2 + 5*n - 2. Let p be m(4). Suppose w = k + p, -2*k + 2*w - 19 = -3*w. Factor 0 + 3*t**2 + 3/2*t**k + 0*t.
3*t**2*(t + 2)/2
Let j = -10462 - -41849/4. Factor -13/4*n + 15/4*n**2 + j*n**4 + 1 - 7/4*n**3.
(n - 4)*(n - 1)**3/4
Let x(f) be the second derivative of 1/36*f**4 + f + 0 + 0*f**2 - 1/9*f**3. Solve x(c) = 0.
0, 2
Let m(x) be the second derivative of -1/24*x**4 - 3/40*x**5 - 26*x + 0 + 0*x**2 + 1/4*x**3 + 1/60*x**6. Factor m(n).
n*(n - 3)*(n - 1)*(n + 1)/2
Suppose 10*u - 105 = -5*u. Factor 30*k + 32 - u*k**2 - 4*k**4 - 14*k - 20*k**3 - 17*k**2.
-4*(k - 1)*(k + 2)**3
Let m = -134424/65 + 2068. Let n = m - -418/455. Factor 30/7*s**2 + n*s**4 + 22/7*s**3 + 4/7 + 18/7*s.
2*(s + 1)**3*(3*s + 2)/7
Let u = -12/7 - -2. Find q such that 0*q**2 + 2/7*q - u*q**3 + 0 = 0.
-1, 0, 1
Let t(y) = 5*y**3 - 142*y**2 + y - 1. Let b(d) = -2*d**3 - 2*d**2 - d + 1. Let m(s) = b(s) + t(s). Factor m(c).
3*c**2*(c - 48)
Let z(w) = -32*w**2 + 756*w - 23866. Let o(s) = -5*s**2 + 126*s - 3977. Let r(t) = 39*o(t) - 6*z(t). Factor r(v).
-3*(v - 63)**2
Let z(r) = -r**2 + 8*r + 20. Let c be z(10). Let u(k) be the second derivative of 4*k + c - 4/3*k**3 - 6*k**2 + 1/3*k**4. Determine l so that u(l) = 0.
-1, 3
Find d, given that -8/13 - 32258/13*d**2 + 1016/13*d = 0.
2/127
Let a = -514022/21 + 74435/3. Let c = a + -333. What is b in -c*b**4 + 6/7*b**3 + 10/7*b**2 + 0 - 8/7*b**5 + 2/7*b = 0?
-1, -1/4, 0, 1
Let n(f) be the first derivative of 0*f - 3/20*f**4 + 0*f**2 + 4 + 3/5*f**3. Factor n(j).
-3*j**2*(j - 3)/5
Suppose -56*a - 10*a = 27*a - 279. Let 3*b + 9/2 - 3*b**a - 1/2*b**4 - 4*b**2 = 0. Calculate b.
-3, -1, 1
Let i(y) be the third derivative of -y**7/105 + y**6/30 - y**5/30 + 90*y**2. What is a in i(a) = 0?
0, 1
Let f(w) be the first derivative of -w**3/3 - 117*w**2 - 13689*w - 828. Solve f(k) = 0.
-117
Let b(h) be the second derivative of h**5/20 + h**4 - h**3/6 - 6*h**2 - 140*h + 2. Suppose b(j) = 0. Calculate j.
-12, -1, 1
Factor 13/4*c**2 + 1/2*c + 5/4*c**4 + 4*c**3 + 0.
c*(c + 1)*(c + 2)*(5*c + 1)/4
Let o(g) = -537*g**4 - 888*g**3 + 418*g**2 + 37*g - 26. Let z(i) = i**4 - i**3 + i**2 - i - 2. Let q(a) = -o(a) + 3*z(a). Suppose q(t) = 0. What is t?
-2, -2/9, 1/4, 1/3
Let a(p) = 1. Let x be 2/3 - (-16)/12. Let s(d) = 11*d - 4*d + 0*d**2 - 4*d - 2 + 3*d**2. Let i(v) = x*a(v) + s(v). Factor i(f).
3*f*(f + 1)
Factor -2/9*l**4 - 4840/9*l - 308/3*l**2 - 8*l**3 - 2662/3.
-2*(l + 3)*(l + 11)**3/9
Factor 44*n**2 - 95 - 7*n**3 + 11*n**3 + 48*n**2 + 3 - 4*n.
4*(n - 1)*(n + 1)*(n + 23)
Let i be 1/(-5)*(516 + 17). Let q = i - -107. Factor q*k**2 - 8/5*k + 8/5.
2*(k - 2)**2/5
Let t(r) be the second derivative of r**4/16 - 55*r**3/24 + 9*r**2/4 - 33*r - 2. Let t(w) = 0. What is w?
1/3, 18
Let x(a) be the first derivative of -25*a**6/36 + 3*a**5 - 3*a**4/2 - 13*a**3/9 - a**2/4 + 44. Solve x(h) = 0 for h.
-1/5, 0, 1, 3
Let a(p) be the first derivative of -64*p**6/3 - 288*p**5/5 - 57*p**4/2 + 106*p**3/3 + 21*p**2 - 18*p + 53. Determine f, given that a(f) = 0.
-1, 3/8
Factor -96 - 17*u**3 + 100*u - 20*u**3 + 3*u**2 - 5*u**2 + 50*u**3 - 15*u**3.
-2*(u - 6)*(u - 1)*(u + 8)
Let j = 11712 - 11708. Factor 0*p + p**2 - 3/2*p**3 + 1/2*p**j + 0.
p**2*(p - 2)*(p - 1)/2
Let x be ((-18)/(-5))/((-70)/(-325)). Let u = -71/21 + x. Let 32/3*g**5 + 10/3*g - 1/3 + 80/3*g**3 -