Let y(i) be the second derivative of 3*i**5/100 - i**4/20 + 6*i. Find z such that y(z) = 0.
0, 1
Suppose -5*g = -3*g - 4. Suppose -g*m + 1 = -w - 5, 5*m - 2*w - 14 = 0. Find n such that 2*n + 10/7*n**m + 4/7 = 0.
-1, -2/5
Factor 3/5*w**2 + w + 2/5 - 1/5*w**4 - 1/5*w**3.
-(w - 2)*(w + 1)**3/5
Find d, given that 0 + 3/7*d**2 - 3/7*d = 0.
0, 1
Suppose -8*k = -3*k + 20, 2*k + 14 = 2*f. Let g(o) be the second derivative of 1/21*o**f + 0 - 1/70*o**5 + 1/7*o**2 - 1/42*o**4 - 4*o. Solve g(t) = 0.
-1, 1
Let y be (-2)/6 + 52/12. Let s = -3 + y. Let -1 + s + 2*a**3 = 0. Calculate a.
0
Let r be 51/15 - 3 - (-12)/(-30). Factor 0*y - 2/3*y**3 + 2/3*y**4 + r*y**2 + 0.
2*y**3*(y - 1)/3
Let a(j) be the first derivative of -j**3/3 - 2*j**2 - 6. Factor a(i).
-i*(i + 4)
Let q(w) be the third derivative of w**7/1260 + w**6/720 - w**5/180 - 23*w**2. What is o in q(o) = 0?
-2, 0, 1
Let g = 31 + -28. Let d(t) be the first derivative of 5/4*t**4 + 0*t**2 + 0*t - 1 + 4/5*t**5 + 2/3*t**g + 1/6*t**6. Factor d(z).
z**2*(z + 1)**2*(z + 2)
Let d be (-34)/(-60) - (-6)/(-36). Suppose 0*g - d*g**3 + 0*g**2 + 0 = 0. Calculate g.
0
Let f be (-20)/(-8) + (2 - 3). Let o(u) be the first derivative of -2 - 4/3*u**3 + 4*u + 3*u**2 - f*u**4. Let o(w) = 0. What is w?
-1, -2/3, 1
Let m(j) be the third derivative of 1/180*j**5 - 7*j**2 + 0*j**3 + 0 - 1/72*j**4 + 0*j. Determine o, given that m(o) = 0.
0, 1
Let k = -3/7 - -25/42. Let g(j) be the first derivative of k*j**2 + 0*j + 2 + 1/9*j**3. Solve g(z) = 0.
-1, 0
Let j(b) = 5*b**3 - 2*b**2 - 5*b - 2. Suppose -5*w = -w + 16. Let y(c) = c**3 - c**2 - c. Let t(a) = w*y(a) + j(a). Factor t(x).
(x - 1)*(x + 1)*(x + 2)
Let x be 34*(-5)/45 - -4. Let -4/9*d - 2/9 - x*d**2 = 0. What is d?
-1
Let a(d) be the first derivative of 2*d**5/55 + 3*d**4/11 + 26*d**3/33 + 12*d**2/11 + 8*d/11 - 60. Factor a(n).
2*(n + 1)**2*(n + 2)**2/11
Let a be 1 - (-6 + 8/4). Let -i + 6*i - i**2 + 2*i**3 - a*i - i**4 = 0. Calculate i.
0, 1
Suppose -7*z = -2*z. Suppose d + 1 - 3 = z. Find o, given that 8/3*o + 1/3*o**3 + 5/3*o**d + 4/3 = 0.
-2, -1
Let a = -732 + 5130/7. Factor a*l**2 + 0 - 4/7*l - 2/7*l**3.
-2*l*(l - 2)*(l - 1)/7
Let k = 403/6 + -35/12. Let u = -64 + k. Determine g so that 0*g**3 + 0*g + 0 - u*g**4 + 1/4*g**2 = 0.
-1, 0, 1
Let q(j) be the first derivative of -4*j**5/5 + j**4 - 7. Solve q(i) = 0.
0, 1
Suppose 2 + 2 = 2*l. Factor -3*v**4 - 9*v - l*v**5 - 14*v**3 - 4 + v**5 - 16*v**2 + 2 - 3*v**4.
-(v + 1)**4*(v + 2)
Let l be (11 - 10) + 5346/(-8). Let v = -661 - l. Factor 5*j - 1 - v*j**2.
-(5*j - 2)**2/4
What is a in -169/4*a**3 - 14*a - 1 - 221/4*a**2 = 0?
-1, -2/13
Let f be (-2)/(2/(-3)) + 8 + -11. Determine g, given that 1/5*g**3 - 1/5*g**2 - 1/5*g**5 + f + 0*g + 1/5*g**4 = 0.
-1, 0, 1
Suppose 7 = -5*j + 4*j. Let w be (2/(-3))/(j/14). Suppose w*a**3 - 4/3*a**5 + 2/3*a**4 + 0 - 2/3*a**2 + 0*a = 0. Calculate a.
-1, 0, 1/2, 1
Let l(a) be the third derivative of a**7/210 - a**6/120 - a**5/10 - 10*a**2 + 3. Find z such that l(z) = 0.
-2, 0, 3
Let o(k) be the first derivative of 1/3*k**2 - 1/6*k**4 + 2/3*k - 2/9*k**3 + 2. Determine c, given that o(c) = 0.
-1, 1
Let r(g) = 32*g**2 + 40*g + 20. Let o(f) = 13*f**2 + 16*f + 8. Let q(b) = 12*o(b) - 5*r(b). Suppose q(w) = 0. Calculate w.
-1
Let m = 29 - 26. Solve -2*v**4 - v**m - 3*v**2 + 2*v**2 + 3*v**4 + v**5 + 0*v**4 = 0 for v.
-1, 0, 1
Let w(l) be the third derivative of -l**8/420 + 2*l**7/105 - 3*l**6/50 + 7*l**5/75 - l**4/15 - 11*l**2. What is q in w(q) = 0?
0, 1, 2
Let f be 2 + (0 - (-36)/2). Let n = f + -77/4. Determine k so that 1/2*k**2 - 1/4*k**5 + 1/4 + 3/4*k - 1/2*k**3 - n*k**4 = 0.
-1, 1
Let q be 116/247 - (-16)/(-104). Let u = -17/114 + q. Factor -u*o - 5/6*o**3 + 4/3*o**2 - 1/3.
-(o - 1)**2*(5*o + 2)/6
Let x(h) be the second derivative of 7*h**4/6 + 37*h**3/3 + 10*h**2 + 15*h. Factor x(b).
2*(b + 5)*(7*b + 2)
Let d = -1178/9 - -131. Let a(y) be the third derivative of -d*y**3 + 0 + y**2 + 0*y**4 + 1/90*y**5 + 0*y. Factor a(b).
2*(b - 1)*(b + 1)/3
Let j(m) be the first derivative of 5*m**6/8 + 4*m**5/5 - m**4/16 - m**3/6 + 8. Solve j(t) = 0.
-1, -2/5, 0, 1/3
Let f(l) be the third derivative of l**8/336 - l**7/210 - l**6/120 + l**5/60 - 7*l**2. Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let i(o) be the third derivative of 0 - 6*o**2 + 1/6*o**3 - 1/15*o**5 + 0*o - 1/8*o**4. Factor i(g).
-(g + 1)*(4*g - 1)
Let k(d) = d**3 + 11*d**2 + 10*d + 3. Let p be k(-9). Let y = 227/3 - p. Factor y*w**4 - 4/3*w**2 + 0*w + 2/3 + 0*w**3.
2*(w - 1)**2*(w + 1)**2/3
Let j be -1 + (5 - 4/2). Let q = 38 + -21. Determine l so that q*l**3 - 7*l**3 - 6*l**j + 11*l**3 = 0.
0, 2/7
What is s in -3*s + 6*s**3 + 2*s**4 + 2 + 4*s**2 - 48*s**5 + 45*s**5 - 8*s**2 = 0?
-1, 2/3, 1
Let k(m) be the first derivative of -m**5/20 - 3*m**4/8 - m**3 - 5*m**2/2 + 6. Let s(n) be the second derivative of k(n). Factor s(b).
-3*(b + 1)*(b + 2)
Let h(f) be the first derivative of f**6/12 - f**5/10 - f**4/4 - 1. Factor h(v).
v**3*(v - 2)*(v + 1)/2
Factor 2/7*k - 4/21 - 2/21*k**2.
-2*(k - 2)*(k - 1)/21
Let w(c) be the third derivative of 5*c**2 + 0 + 0*c + 0*c**4 - 4/21*c**3 + 1/210*c**5. Let w(d) = 0. Calculate d.
-2, 2
Find m such that -2*m**3 - 3/2*m**5 + 0*m**2 + 4*m**4 + 0 + 0*m = 0.
0, 2/3, 2
Let l(f) be the first derivative of 2*f**3/39 + 6*f**2/13 + 18*f/13 - 9. Factor l(t).
2*(t + 3)**2/13
Let q(b) be the third derivative of b**5/240 - b**3/24 + 12*b**2. Solve q(k) = 0.
-1, 1
Let f be 48/11 + 36/(-9). Factor 6/11*y**2 + 2/11*y - f.
2*(y + 1)*(3*y - 2)/11
Let r be 10 + -1 + -2 - 3. Factor -a**3 + 3*a**3 - 2*a**5 + a**5 + 3*a**5 + 4*a**r.
2*a**3*(a + 1)**2
Let v(x) = x**2 - 6*x - 4. Let y be v(7). Suppose y + 12 = 5*b. Factor -4*g**2 + 2*g**3 - 2 - 5*g**3 + 4*g**b + 5*g.
(g - 2)*(g - 1)**2
Let p(n) be the first derivative of 2*n**5/15 - 5*n**4/3 + 26*n**3/9 + 20*n**2 + 24*n - 14. Factor p(f).
2*(f - 6)**2*(f + 1)**2/3
Let t = -93 + 96. Let x(p) be the third derivative of -2*p**2 + 0*p**4 + 1/30*p**5 + 0*p + 0*p**t + 1/42*p**7 + 0 - 7/120*p**6. Find d such that x(d) = 0.
0, 2/5, 1
Let c = -22 - -47/2. What is w in 0 - 3/2*w - 5*w**2 - c*w**3 = 0?
-3, -1/3, 0
Factor -2/3 - 10/3*c**2 + 8/3*c + 4/3*c**3.
2*(c - 1)**2*(2*c - 1)/3
Let i(w) be the second derivative of -2*w**7/21 - 4*w**6/15 + 3*w**5/5 + 8*w**4/3 + 8*w**3/3 - 2*w. Determine p so that i(p) = 0.
-2, -1, 0, 2
Let z = -1 - 2. Let o be (1*2)/(z/(-3)). Factor -8*k**2 + k**o + 10*k - 4 + k**2.
-2*(k - 1)*(3*k - 2)
Let l = 44 + -44. Let f(u) be the second derivative of l + 1/18*u**4 - 2*u - 2/3*u**2 - 1/9*u**3. Suppose f(z) = 0. Calculate z.
-1, 2
Let t = 9 - 8. Let c be t - 4/(0 - 1). Factor -8*u - 22*u**2 - 28*u**3 - 9 + 2 + 6 - 4*u**c - 17*u**4.
-(u + 1)**4*(4*u + 1)
Suppose 0*g - 4 = 3*g + 2*h, -4*h = 4*g + 12. Suppose 0*s**2 - 6*s**3 + 6*s**g - 9*s**4 - 4 - 3*s**5 + 9*s + 7 = 0. What is s?
-1, 1
Let g be ((-6)/2 - 1)/(-2). Factor -3*p - 10*p**3 - p - 4*p**g + 4 + 23*p**3 - 9*p**3.
4*(p - 1)**2*(p + 1)
Let z be (-1286)/(-780) + (-4)/20. Let g = z - -2/39. Suppose -2*o**4 - 1/2*o + 0*o**3 + 0 + g*o**2 = 0. Calculate o.
-1, 0, 1/2
Factor 6*q - 13*q + 3*q + 2 + 4*q**2 - 2*q**2.
2*(q - 1)**2
Factor 0 + 3/2*g**2 - 3*g.
3*g*(g - 2)/2
Let z(b) = -5*b - 4. Let v(j) = 5*j + 5. Let g(x) = 3*v(x) + 4*z(x). Let t be g(-1). Factor -2*y - 3 + 3*y**2 + t - 2*y**2.
(y - 1)**2
Solve 10*a**3 + 8/3*a**5 + 2/3*a - 28/3*a**4 + 0 - 13/3*a**2 = 0 for a.
0, 1/2, 2
Let n(g) be the second derivative of -g**4/30 + 2*g**3/15 + g. Factor n(y).
-2*y*(y - 2)/5
Let b(p) be the third derivative of 1/6*p**4 - 1/3*p**3 + 0*p - 2*p**2 + 0 - 1/30*p**5. Factor b(g).
-2*(g - 1)**2
Let y = -168521 - -12975933/77. Let b = -20/11 - y. Factor 2/7*m**2 + b*m + 0.
2*m*(m + 2)/7
Factor 0 - 1/9*d**2 + 1/9*d**4 - 1/9*d**3 + 1/9*d.
d*(d - 1)**2*(d + 1)/9
Let v be (632/72 - 6) + 4/18. Find q, given that -2/5*q - 3/5*q**2 + 0 - 1/5*q**v = 0.
-2, -1, 0
Suppose -2*v = -3 - 5. Let f(t) be the first derivative of 0*t + 7*t**3 + 15/4*t**v + 3*t**2 + 1. What is x in f(x) = 0?
-1, -2/5, 0
Find i such that 21*i**4 - 27*i**3 - 34*i**2 + 48*i - 17*i**4 + 63*i**3 + 114*i**2 = 0.
-6, -2, -1, 0
Let a = 20 + -18. Factor a*w**3 + 0 - 19*w + 13*w - 4.
2*(w - 2)*(w + 1)**2
Let x(g) be the second derivative of 0*g**6 - 1/105*g**7 + 0*g**2 - 3*g + 0 - 1