. What is d?
0, 1, 3
Let v = 44 - 31. Factor -2*g**2 - 8*g**2 - 150*g - 12*g**2 - v*g**2 - 40.
-5*(g + 4)*(7*g + 2)
Let y be -2 + 14 - 20992/1792. Factor k**2 + 0 + 5/7*k**3 + y*k.
k*(k + 1)*(5*k + 2)/7
Suppose 3*r + 0*r = 6. Suppose 0 = -r*i + g + 115, i - 105 + 35 = -2*g. Factor -11*d**5 + 8*d - 22*d**3 - 27*d**2 + 3*d**2 + 61*d**5 + i*d**4.
2*d*(d + 1)**2*(5*d - 2)**2
What is j in -9*j**2 - 12*j - 8*j**2 - 3*j**2 + 18*j**2 = 0?
-6, 0
Let d(v) be the third derivative of -2*v**7/105 - 13*v**6/15 + v**5/15 + 13*v**4/3 + 309*v**2. Find z, given that d(z) = 0.
-26, -1, 0, 1
Let q = -538615/151 + 3567. Let d = q + 147/302. Factor d*u**4 + 0*u + 1/2 + 0*u**3 - u**2.
(u - 1)**2*(u + 1)**2/2
Let z be 32/20*5454/144. Suppose 48*f**4 - 228/5*f - 192/5*f**2 + z*f**3 - 15*f**5 - 48/5 = 0. Calculate f.
-1, -2/5, 1, 4
Let a(k) be the third derivative of -k**6/780 - 7*k**5/65 + 133*k**4/156 - 30*k**3/13 + 7*k**2 + 33*k. Factor a(q).
-2*(q - 2)*(q - 1)*(q + 45)/13
Let c(t) be the second derivative of 0 + 2/3*t**3 + 1/3*t**4 + 0*t**2 + 9*t. Factor c(s).
4*s*(s + 1)
Let q = 76 + -72. Factor 8*u**3 + 12*u**4 - 17*u**4 - 32 + 7*u**q - 32*u.
2*(u - 2)*(u + 2)**3
Let c(m) be the second derivative of -40*m - 6/5*m**5 + 1/2*m**6 - 1/14*m**7 + 0*m**2 + 0 + 0*m**3 + m**4. Solve c(s) = 0 for s.
0, 1, 2
What is z in 41173 + 261*z + 39*z - 43048 - 12*z**2 = 0?
25/2
Let b(d) be the third derivative of -d**7/42 + 5*d**6/8 - 19*d**5/6 + 5*d**4 + 487*d**2. Solve b(q) = 0 for q.
0, 1, 2, 12
Let h = -227707/7 - -32530. Suppose -36/7 - h*f**2 - 24/7*f = 0. What is f?
-6, -2
Let g = -164 + 159. Let l(h) = 13*h + 65. Let p be l(g). Factor p - 12/17*d**3 + 2/17*d**4 + 0*d + 18/17*d**2.
2*d**2*(d - 3)**2/17
Suppose -2*n + 4 = 2*n - 4*p, -3*n = p - 11. Suppose 7 = 2*v - i, n + 1 = 2*v + 2*i. Let 9*b - 3*b**2 - v*b - 3*b + 6 = 0. Calculate b.
-1, 2
Let t = 5 - 4. Factor 2*i**2 + 4*i + 2 - 3*i**2 - 3*i - t - i**3.
-(i - 1)*(i + 1)**2
Let p(k) be the third derivative of 0 - 1/20*k**5 - 1/210*k**7 - 7/240*k**6 + 0*k**4 + 0*k + 38*k**2 + 0*k**3. Let p(x) = 0. Calculate x.
-2, -3/2, 0
Solve -8145 + 36*y**4 - 5*y**5 + 8139 + 20*y**5 - 30*y**2 - 27*y + 12*y**3 = 0.
-1, -2/5, 1
Let v(n) be the first derivative of n**3/33 - n**2/11 - 24*n/11 - 636. Suppose v(h) = 0. What is h?
-4, 6
Let w(g) be the second derivative of -g**5/20 + 5*g**4/8 - 2*g**3 - 11*g**2/2 - 4*g. Let a(b) be the first derivative of w(b). Solve a(d) = 0 for d.
1, 4
Let u(v) be the third derivative of 1/35*v**5 + 0*v + 5*v**2 - 8/7*v**3 + 0 - 1/7*v**4 + 1/140*v**6. What is y in u(y) = 0?
-2, 2
Let y = -15601 + 46817/3. Factor -2 - 10/3*t**2 + 2/3*t**3 + y*t.
2*(t - 3)*(t - 1)**2/3
Suppose 2*x - 3*s = 18, 5*x - 8*s = -4*s + 52. Suppose 8*u + 16 = x*u. Factor -1/4*p**5 + 1/2*p**2 + 0*p**3 + 1/4*p - 1/2*p**u + 0.
-p*(p - 1)*(p + 1)**3/4
Let u(p) be the third derivative of p**8/5040 - p**7/630 + p**6/180 - p**5/90 + 3*p**4/8 + 4*p**2. Let i(j) be the second derivative of u(j). Factor i(n).
4*(n - 1)**3/3
Let z(h) = h**2 + 13*h - 14. Suppose -3*d = -4*d + 4*j - 22, -5*d = -2*j + 74. Let b be z(d). Factor 0*l + 2/11*l**4 + b + 2/11*l**2 - 4/11*l**3.
2*l**2*(l - 1)**2/11
Find i such that -4 + 137*i**3 - 25 - 136*i + 427*i**3 + 315*i**4 - 81*i**2 - 68*i - 7 - 162*i**5 = 0.
-1, -1/2, -2/9, 2/3, 3
Let s(m) = m**3 + 6*m**2 + 6*m + 4. Let q be s(-5). Let f be (q - (1 - 0))/((-28)/35). Factor 0 - f*z**3 + 0*z - z**2.
-z**2*(5*z + 2)/2
Let u(a) be the first derivative of 3*a**5/20 - 3*a**4/2 + 9*a**3/2 - 6*a**2 + 15*a/4 - 85. Determine m so that u(m) = 0.
1, 5
Let l(p) be the first derivative of -p**4/10 + 4*p**3/5 - p**2 - 34. Factor l(n).
-2*n*(n - 5)*(n - 1)/5
Let g(f) be the second derivative of 0 - 19*f - 5/42*f**7 + 0*f**5 + 0*f**4 + 0*f**3 + 1/2*f**6 + 0*f**2. Find c such that g(c) = 0.
0, 3
Suppose 15 = 3*v - 5*w, 2*v - 3 = 7*v + w. Factor -4/11*h**2 + 0*h + 2/11*h**4 + 2/11 + v*h**3.
2*(h - 1)**2*(h + 1)**2/11
Suppose -4*m = -3*m - 32. Let v = m + -32. Let -8/7 + v*y + 2/7*y**2 = 0. Calculate y.
-2, 2
Let q = -7879/20 - -394. Let m(s) be the third derivative of q*s**6 + 1/30*s**5 - 1/4*s**4 - 2/3*s**3 + 0 - 3*s**2 + 1/105*s**7 + 0*s. Factor m(a).
2*(a - 1)*(a + 1)**2*(a + 2)
Let l(h) = -15*h**2 - 1. Let c be l(-3). Let o = c - -139. Suppose 10/3*v**2 + 0 - 4/3*v + 2*v**o = 0. What is v?
-2, 0, 1/3
Let q(l) be the first derivative of 16 + 0*l - 5/4*l**4 + 4/5*l**5 - 1/6*l**6 + 0*l**2 + 2/3*l**3. Factor q(a).
-a**2*(a - 2)*(a - 1)**2
Let d be 0 + 339/90 + -18 + (-3638)/(-204). Let -66/5*v**3 - 6/5*v - 12/5 + d*v**4 + 66/5*v**2 = 0. What is v?
-1/3, 1, 2
Let q be (-7 + 9/(-6)*-2)/(-10). Let 1/5*t**5 - 2/5 - t - q*t**2 + 4/5*t**4 + 4/5*t**3 = 0. Calculate t.
-2, -1, 1
Suppose 0 = 7*n - 10*n + 9. Suppose t**4 - 52*t + t**5 - t**n - t**3 + 52*t = 0. Calculate t.
-2, 0, 1
Let g = -258 + 262. Suppose 9*c - 39 = -g*c. Factor 2*r - 4 + r**2 - 1/2*r**c.
-(r - 2)**2*(r + 2)/2
Let 11/6*x**4 - 1/2*x**5 + 43/3*x + 8/3 + 85/6*x**3 + 47/2*x**2 = 0. Calculate x.
-2, -1, -1/3, 8
Let k(j) be the first derivative of -2*j**3/21 + 248*j**2/7 - 30752*j/7 + 69. Factor k(g).
-2*(g - 124)**2/7
Suppose 3*y - 5 = 2*y, -5*u + 355 = 4*y. Let m = 68 - u. What is z in 1/2*z + m - 3/2*z**2 = 0?
-2/3, 1
Let h be -2 - 5/(25/(-20)). Factor -3*r**3 - 8*r**2 - r - 2*r**2 + 8*r**h + 6*r**2.
-r*(r - 1)*(3*r - 1)
Determine r, given that -22/7*r**2 + 0 + 2/7*r**3 + 36/7*r = 0.
0, 2, 9
Let r = -7753 + 7756. Factor 2/7 - 2/7*q**2 + 1/7*q - 1/7*q**r.
-(q - 1)*(q + 1)*(q + 2)/7
Determine h, given that -27/2*h**2 + 45/2*h + 75/2 + 3/2*h**3 = 0.
-1, 5
Let k be (372/189)/(-4) - -2. Let p = k - 11/9. Factor -2/7*z - 2/7*z**4 + p*z**2 + 2/7*z**3 + 0.
-2*z*(z - 1)**2*(z + 1)/7
Suppose -4*q = -v + 19, 5*v = -q - 3 + 14. Let 6 + 47*d**3 - 17*d**v - 27*d**3 - 9*d = 0. What is d?
-2, 1
Factor 4/5*k**2 + 1/5*k**3 + 4/5*k + 0.
k*(k + 2)**2/5
Solve 4/9*n**3 + 0 - 16/3*n + 44/9*n**2 = 0 for n.
-12, 0, 1
Let j = -45 - -136/3. Let h = -566 - -569. Factor -j*y**5 + 4/3 - 19/3*y**h - 16/3*y + 25/3*y**2 + 7/3*y**4.
-(y - 2)**2*(y - 1)**3/3
Suppose 34*w + 22 = 35*w. Suppose -w*g = -23*g. Factor g*f**2 + 0 + 0*f**3 + 1/3*f**4 + 0*f + 1/3*f**5.
f**4*(f + 1)/3
Let y(o) = o**3 - 2*o**2 - 7*o - 11. Let n be y(5). Let 5 - 16 - 7*p + 51*p - 4*p**2 - n = 0. What is p?
1, 10
Let t(b) be the first derivative of 9*b**4/4 - 20*b**3/3 + 13*b**2/2 - 2*b + 6. Factor t(u).
(u - 1)**2*(9*u - 2)
Let c = -55196 - -55199. Suppose 8/9*d - 2/3*d**2 + 2/9*d**4 - 4/9*d**c + 8/9 = 0. What is d?
-1, 2
Factor 44 - 98 - 7*q - 5*q + 2*q**2.
2*(q - 9)*(q + 3)
Let r(g) be the first derivative of 0 + 14 - 27*g + 9*g**2 - 2 - g**3. Factor r(b).
-3*(b - 3)**2
Determine o, given that -27*o**3 - 12*o + 7/2*o**5 + 0 - 9/2*o**4 + 50*o**2 = 0.
-3, 0, 2/7, 2
Factor -34/5*v**3 + 0*v + 1/5*v**4 + 289/5*v**2 + 0.
v**2*(v - 17)**2/5
Let p(u) be the third derivative of u**6/90 + u**5/6 + 2*u**4/3 - 7*u**3/3 - 15*u**2. Let k(v) be the first derivative of p(v). Solve k(m) = 0.
-4, -1
Let d(s) be the third derivative of -s**8/25200 - s**7/600 + 11*s**6/1800 - s**5/4 + 9*s**2. Let w(t) be the third derivative of d(t). Factor w(b).
-2*(b + 11)*(2*b - 1)/5
Let z = 374 - 1121/3. Let s(f) be the first derivative of 0*f - 1/6*f**2 - z*f**3 - 1/4*f**4 - 4 - 1/15*f**5. What is q in s(q) = 0?
-1, 0
Let s(i) be the first derivative of -i**4/4 + i**3/3 + i**2 - 37. Let r be s(0). Let -1/4*v**2 + 1/2*v + r = 0. Calculate v.
0, 2
Suppose 3*k - 5 = 4. Solve 4*z**k - 1 + 8*z**3 + 7 - 24*z**3 + 6*z**2 + 15*z - 3*z**5 - 12*z**4 = 0.
-2, -1, 1
Let x = -97/180 - -13/20. Let c(j) be the first derivative of 0*j - x*j**3 - 1/15*j**5 + 0*j**2 + 3 + 1/6*j**4. Solve c(p) = 0.
0, 1
Let h(g) be the first derivative of g**6/42 - 9*g**5/35 + 13*g**4/14 - 6*g**3/7 - 27*g**2/14 + 27*g/7 - 69. Factor h(t).
(t - 3)**3*(t - 1)*(t + 1)/7
Let 1/5 + 1/5*l**3 - 1/5*l**2 - 1/5*l = 0. What is l?
-1, 1
Let p(g) = g**3 - 7*g**2 + 5*g + 7. Let b(z) = z**2 - z + 1. Let r(m) = 10*b(m) + 5*p(m). Factor r(l).
5*(l - 3)**2*(l + 1)
Let y(o) be the third derivative of -1/1260*o**7 + 1/240*o**6 + 0*o + 0*o**3 + 0 - 1/120*o**5 + 7*o**2 + 1/144*o**4. Factor y(m).
-m*(m - 1)**3/6
Let m(d) be the second derivative of -d**6/30 + d**4/4 + d**3/3 + 6*d + 10. Determine y, given that m(y) = 0.
-