+ 8/5 = 0?
2/7, 2
Suppose 2*t + 0*t = -28. Let o = t - -20. Factor o*y**4 - 3*y**4 + 3 + 0*y - 6*y**3 - 6*y**4 + 6*y.
-3*(y - 1)*(y + 1)**3
Suppose -96*y + 376 = -2*y. Find f such that 0 - 16/3*f - 2/3*f**3 + y*f**2 = 0.
0, 2, 4
Let d(r) be the first derivative of -r**3/12 - 11*r**2/8 - 9*r/2 + 69. Let d(m) = 0. Calculate m.
-9, -2
Let v = -3191/3 + 3193/3. Find h, given that 0 - 1/3*h**2 + 2/3*h - v*h**3 + 1/3*h**4 = 0.
-1, 0, 1, 2
Suppose 16*u + 444 = 22*u. Let m be 2/(-9) - (-5 + u/18). Determine n so that 8/3*n + 2 + m*n**2 = 0.
-3, -1
Suppose -4*j - 2*c + 34 = 0, -3*c + 15 + 8 = 2*j. Factor 5*m**2 - 12*m**3 - 28*m**3 - 25*m**2 - 18*m**4 - j*m**4 - 5*m**5.
-5*m**2*(m + 1)*(m + 2)**2
Let z(w) be the third derivative of -w**5/75 + w**4/5 - 6*w**3/5 + 187*w**2. Factor z(h).
-4*(h - 3)**2/5
Let -4/5*p**4 + 16/5*p**3 - 32/5 + 12/5*p**2 - 8*p = 0. What is p?
-1, 2, 4
Let t be 0 - ((-36)/104 + 0). Let a = t + 2/13. Factor -3/4 + 1/4*d**2 + a*d.
(d - 1)*(d + 3)/4
Let n be 6/(-48)*(-4 + 3). Let u = n - 0. Factor 1/4*p - 1/8 - u*p**2.
-(p - 1)**2/8
Let l(q) be the second derivative of q**4/6 - 32*q**3/3 + 256*q**2 - 2*q - 15. Let l(f) = 0. What is f?
16
Let k(x) = x**2 + 6*x + 5. Let z be k(-5). Suppose 50 = -2*l + 38, 4*f - 2*l - 20 = 0. Factor -3/5*c**3 + 3/5*c**4 + z*c - 6/5*c**f + 0.
3*c**2*(c - 2)*(c + 1)/5
Let k(z) be the first derivative of 18 - 14*z**4 - 2 + 15*z**4. Factor k(m).
4*m**3
Suppose s + s + 14 = -4*q, 0 = 2*q - 2*s - 8. Let b be (q/(-2))/((-1)/(-4)). Let 0*d + 0*d - 82*d**2 + 78*d**b = 0. What is d?
0
Suppose 9/7*i**5 + 33/7*i**2 - 96/7*i - 69/7*i**4 + 87/7*i**3 + 36/7 = 0. What is i?
-1, 2/3, 1, 6
Let r(b) = 20*b**2 + b + 7. Let t be 3*(-1 - (-30)/9). Let a(x) = -20*x**2 - 2*x - 6. Let u(y) = t*a(y) + 6*r(y). Factor u(f).
-4*f*(5*f + 2)
Let f be 29*(-5 + 10/1). Let b = f + -143. Factor -3/2*t + 1 + 3/4*t**b - 1/8*t**3.
-(t - 2)**3/8
Let j(c) be the second derivative of -1/5*c**6 - c + c**5 - 8 + 0*c**3 + 0*c**4 - 1/21*c**7 + 0*c**2. Determine m so that j(m) = 0.
-5, 0, 2
Let w be 328/480 - 10/15. Let u(h) be the third derivative of 1/24*h**4 + 0 - 12*h**2 + 0*h + w*h**5 + 0*h**3. Factor u(y).
y*(y + 1)
Let l = 12694 + -12694. Find a such that -2/5*a**5 - 2/5*a**2 + 2/5*a**4 + 6/5*a**3 + l - 4/5*a = 0.
-1, 0, 1, 2
Suppose 0 = -5*s + 6*s. Factor 2 - 10*o**2 + 8 + 5*o + s*o**2 - 5*o**3.
-5*(o - 1)*(o + 1)*(o + 2)
Suppose 3*j = z - 4 - 125, -3*z + 3*j + 369 = 0. Let k be (6/(-10))/((-36)/z). Let 0 + 1/2*r**4 - 1/2*r**k + 0*r**3 + 0*r = 0. What is r?
-1, 0, 1
Let k(z) be the first derivative of -3*z**5/5 + 7*z**4/20 + 17*z**3/15 - 7*z**2/10 - 2*z/5 + 140. What is t in k(t) = 0?
-1, -1/5, 2/3, 1
What is b in -16*b**5 + 6*b**4 - 14*b**2 + 8 + 8*b**5 + 12*b**5 - 2*b**5 - b**3 - b**3 = 0?
-2, -1, 1
Let r be 1/10*(1 - 1). Suppose -9*y**2 + 4*y**3 + r*y - 1/2*y**4 + 27/2 = 0. Calculate y.
-1, 3
Let m(l) = l**3 + l - 1. Let a(h) = -2*h**3 + 14*h**2 - 4*h - 11. Let w(n) = 5*a(n) + 15*m(n). Factor w(b).
5*(b - 1)*(b + 1)*(b + 14)
Let s = 441/2 + -3929/18. Determine w, given that 22/3*w**2 - s*w**3 + 32/9 - 80/9*w + 2/9*w**4 = 0.
1, 4
Let s(f) = -11 + 3 + 1 + 2 + f**2. Let t be s(-3). Factor k**5 + 17*k**2 + 2*k - k + 6*k**3 - 21*k**2 - 4*k**t.
k*(k - 1)**4
Let g(w) = 9*w**4 + 24*w**3 - 130*w**2 - 292*w + 1125. Let f(y) = y**4 + y**3 + 2*y. Let c(v) = -4*f(v) + g(v). Solve c(j) = 0.
-5, 3
Let g(o) = o**2 - 10*o + 18. Let x be g(8). Solve -2*j + 30*j**x + 0*j**2 - 18*j**2 = 0 for j.
0, 1/6
Let o(j) be the first derivative of 9*j**6/14 - 57*j**5/35 + 3*j**4/14 + 367. Factor o(w).
3*w**3*(w - 2)*(9*w - 1)/7
Suppose -2*i + 4 = -6. Let z be i/1 + -1 + -2. Determine k, given that 3*k**3 - 9*k**2 - 3 + 19 + 0*k**z - 4 = 0.
-1, 2
Let h(j) be the third derivative of 0*j**7 + 0*j**4 - 10*j**2 + 0*j**6 + 0*j**5 + 0 + 0*j - 5/336*j**8 + 0*j**3. Factor h(a).
-5*a**5
Let n = 3/4693 - -9359/42237. Solve -n*a**5 + 0*a + 0*a**2 + 0*a**3 + 2*a**4 + 0 = 0 for a.
0, 9
Let j(q) be the third derivative of -1/105*q**7 - 1/168*q**8 + 1/30*q**5 + 0*q + 0*q**4 + 1/60*q**6 + 0 + 0*q**3 + 5*q**2. Factor j(c).
-2*c**2*(c - 1)*(c + 1)**2
Let d(n) be the third derivative of -n**6/90 + 3*n**5/5 - 27*n**4/2 + 5*n**3/2 - 35*n**2. Let z(r) be the first derivative of d(r). Factor z(w).
-4*(w - 9)**2
Suppose s + 4 = p, p + s - 1 = -s. Suppose 4*d = 4*t + 4, -5 = p*t + 2*t. Factor -1/2*v**4 + 0*v + 0*v**2 + d - v**3 + 1/2*v**5.
v**3*(v - 2)*(v + 1)/2
Suppose 2*x + 14/3*x**2 + 0 + 10/3*x**3 + 2/3*x**4 = 0. What is x?
-3, -1, 0
Suppose 8*j - 26 + 2 = 0. Determine s so that -16*s**3 - s**4 + j*s**4 + 12*s**2 + 33 + 17 + 80*s = 0.
-1, 5
Let t(p) be the first derivative of p**4/34 - 20*p**3/51 - 23*p**2/17 - 24*p/17 - 102. Factor t(i).
2*(i - 12)*(i + 1)**2/17
Let a(n) be the first derivative of n**6/210 - n**5/70 + n**4/84 - 16*n + 24. Let z(g) be the first derivative of a(g). Factor z(b).
b**2*(b - 1)**2/7
Let p(x) be the first derivative of -x**3/21 - 22*x**2/7 + 92*x/7 - 209. Suppose p(y) = 0. What is y?
-46, 2
Suppose 8 = 2*w + 4*z - 4, 4*w = -z + 17. Suppose -w*n + 5*n - 30 = -5*u, 5*n = 5*u. Factor 25/2*m**n + 0 + 0*m**4 + 0*m**2 + 0*m - 2*m**3.
m**3*(5*m - 2)*(5*m + 2)/2
Let t(l) be the first derivative of 5*l**4/16 + l**3/3 - 11*l**2/8 + l/2 + 83. Factor t(s).
(s - 1)*(s + 2)*(5*s - 1)/4
Let a(q) = 4*q**2 + 2*q + 1. Let h(b) = 4*b - 35. Let o be h(8). Let s(d) = 3*d**2 + 2*d + 1. Let p(w) = o*s(w) + 2*a(w). Solve p(f) = 0 for f.
-1
Determine m so that -18/7*m - 12/7*m**2 + 0 - 2/7*m**3 = 0.
-3, 0
Suppose 3 = -3*g - 9, y - 5*g = 22. Let k be 136/14 - (-4)/14. Factor -6*i**3 - i - i**2 + k*i**2 - y*i.
-3*i*(i - 1)*(2*i - 1)
Let y(a) be the second derivative of -a**6/30 - a**5/4 + 7*a**4 - 6*a - 46. Factor y(h).
-h**2*(h - 7)*(h + 12)
Suppose 1703*p = 1701*p + 10. Let s(a) be the second derivative of 3/2*a**2 - 7/2*a**3 - p*a - 3/4*a**5 + 11/4*a**4 + 0. Factor s(n).
-3*(n - 1)**2*(5*n - 1)
Let s(m) be the second derivative of -m**6/90 - m**5/15 - m**4/12 + 2*m**3/9 + 2*m**2/3 - 12*m. Factor s(i).
-(i - 1)*(i + 1)*(i + 2)**2/3
Let p(g) = 5*g**2 + 3*g + 2. Let w(h) = h**2 + h. Let l(c) = p(c) - 4*w(c). Let x(t) = 3*t**2 - 2*t + 4. Let a(m) = -5*l(m) + 2*x(m). Factor a(d).
(d - 1)*(d + 2)
Let l = 11 + -47. Let q be 1/4 - l/240. Determine v so that 2/5*v + q*v**2 - 2/5 - 2/5*v**3 = 0.
-1, 1
Suppose -4 = 6*a - 814. Let k be -6*6/a*-5. Factor 2/3*x**2 + 0 + k*x.
2*x*(x + 2)/3
Let v(f) be the third derivative of -9*f**2 + 1/300*f**5 + 0 + 0*f**3 - 1/120*f**4 + 0*f. Factor v(k).
k*(k - 1)/5
Let v(i) be the first derivative of 3*i**3 - 597*i**2/2 + 198*i + 285. Factor v(p).
3*(p - 66)*(3*p - 1)
Let f(k) = k**5 - k**3 - k**2 + k. Let c(d) = 9*d**5 + 5*d**4 - 4*d**3 - 5*d**2 + 5*d. Let t(a) = 4*c(a) - 20*f(a). Find n, given that t(n) = 0.
-1, -1/4, 0
Let s(a) be the first derivative of -9*a**5/5 + 3*a**4/4 + 12*a**3 - 6*a**2 + 210. What is x in s(x) = 0?
-2, 0, 1/3, 2
Let l(r) be the first derivative of -r**7/126 + r**5/15 - 25*r - 4. Let m(a) be the first derivative of l(a). Factor m(c).
-c**3*(c - 2)*(c + 2)/3
Factor -17*w - 289/2 - 1/2*w**2.
-(w + 17)**2/2
Suppose -9 = -3*c - f, 5*c = 2*c + 2*f. Factor -2/5*w**c + 4/5*w + 0.
-2*w*(w - 2)/5
Let f be 1337/2156 - 2/(-8) - 1. Let h = 4/77 - f. Factor -8/11 - 10/11*x**2 + h*x**3 + 16/11*x.
2*(x - 2)**2*(x - 1)/11
Let b = 90044/7 + -12862. Solve -2/7*a**2 + 12/7 - b*a = 0 for a.
-6, 1
Let a(d) be the first derivative of -5/16*d**2 - 3/4*d - 18 + 1/24*d**3. What is z in a(z) = 0?
-1, 6
Suppose -y - 3*y - 28 = -3*o, -o - 5*y = 16. Find q, given that 45*q**3 - 3*q**4 + 3*q**4 + o*q**2 - 51*q**3 + 2*q**4 = 0.
0, 1, 2
Let c(k) = k**3 - 85*k**2 + 530*k - 443. Let q(m) = -4*m**3 + 170*m**2 - 1060*m + 887. Let b(u) = 7*c(u) + 3*q(u). Factor b(a).
-5*(a - 4)*(a - 1)*(a + 22)
Let m(z) be the third derivative of z**7/504 - z**6/8 + 27*z**5/8 - 31*z**4/24 - 15*z**2. Let t(v) be the second derivative of m(v). Solve t(f) = 0 for f.
9
Let z(q) be the first derivative of 0*q - q**2 + 0*q**4 - 1 - 1/90*q**5 + 1/9*q**3. Let y(o) be the second derivative of z(o). Factor y(j).
-2*(j - 1)*(j + 1)/3
Let t = -180 + 188. Suppose a + t = -i + 3, 0 = 4*a - i - 5. Factor 0 + a*m - m**3 - 1/2*m**4 - 1/2*m**2.
-m**2*(m + 1)**2/2
Let s(w) be the second derivative of w