5*v**3 - 6*v**4 + 2*v**4 - 18*v**2 = 0. What is v?
-2, 0, 1, 3
Let f(a) be the second derivative of -2/147*a**7 - 5/21*a**3 + 1/10*a**5 - 1/105*a**6 + 0 + 15*a + 2/7*a**2 - 1/42*a**4. Find j, given that f(j) = 0.
-2, -1, 1/2, 1
Let b(q) be the first derivative of q**4/8 + q**3/2 + 3*q**2/4 + q/2 - 61. Solve b(i) = 0 for i.
-1
Let p be ((-10)/20)/(0 - (-6)/(-4)). Let r(w) be the first derivative of 0*w - 6 - w**2 + p*w**3. Factor r(u).
u*(u - 2)
Let a(u) be the third derivative of -u**5/30 - u**4/3 + 32*u**3/3 + 93*u**2. Let a(k) = 0. What is k?
-8, 4
Factor -5/2*x**4 + 0 + 33/4*x**3 + 1/4*x**5 - 11*x**2 + 5*x.
x*(x - 5)*(x - 2)**2*(x - 1)/4
Let b = -935 - -937. Solve -3/2 + 1/4*v**b + 1/4*v = 0 for v.
-3, 2
Let o(i) be the second derivative of -i**6/10 - 21*i**5/10 - 25*i**4/4 - 6*i**3 - 164*i. Find c such that o(c) = 0.
-12, -1, 0
Let m(i) be the third derivative of -i**6/200 - 2*i**5/25 - 7*i**4/40 - i**2 + 3*i. Let m(g) = 0. What is g?
-7, -1, 0
Determine u so that 66*u - 726 - 3/2*u**2 = 0.
22
Let u(r) be the second derivative of -r**6/6 + 5*r**5/4 - 5*r**4/2 - 23*r + 4. Solve u(p) = 0.
0, 2, 3
Let h be ((-9)/6)/((-1)/8*6). Solve -95*k**2 + 95*k**2 + h*k**5 + 2*k**4 = 0 for k.
-1, 0
Let h(a) be the second derivative of -a**4/4 - 9*a**3 - 243*a**2/2 + 4*a + 4. Find u, given that h(u) = 0.
-9
Let y(g) be the second derivative of 0 + 0*g**3 - 2*g + 1/40*g**6 + 1/2*g**4 - 1/5*g**5 + g**2. Let x(k) be the first derivative of y(k). Factor x(w).
3*w*(w - 2)**2
Let u = 2 + 0. Let c(m) = -m**2 + 9*m + 36. Let z be c(12). Factor 8/11*q + z + 2/11*q**u.
2*q*(q + 4)/11
Let q be ((-31)/((-1519)/14))/(5/21). Determine h, given that 6/5*h**4 - q*h**3 - 16/5*h**2 + 18/5 + 3*h - 1/5*h**5 = 0.
-1, 2, 3
Let s(d) be the first derivative of 5*d**4/4 - 35*d**2/2 + 30*d + 67. Factor s(n).
5*(n - 2)*(n - 1)*(n + 3)
Suppose -3*y - 10 = -5*y, 4*s - 5*y = -185. Let f be s/(-22) - (-4)/22. Find l such that -f*l**3 + 6*l + 2 + 6*l**2 + 4*l - 16*l = 0.
1
Let a be 4/(-3)*(-2 + (-13)/(-8)). What is y in -1/2*y**2 + 0*y + a = 0?
-1, 1
Suppose 3*c + 2*u = -11, 4*c + 7 = 5*c - 2*u. Let j be (8/(-28))/(c + (1 - 1)). Find l, given that 0 + 2/7*l + 0*l**2 - j*l**3 = 0.
-1, 0, 1
Suppose v = -4*v + 4*i - 36, 5*i - 12 = -2*v. Let l be (-3)/(v/(-16)*-3). Let 3*f**2 + f - 4*f - 2*f - l*f + 6 = 0. Calculate f.
1, 2
Let b be (22 - 2)*8/20. Let u(q) = q**2 + 7. Let k be u(0). Factor -k*h**2 + 1 - 2*h**2 + b*h**2.
-(h - 1)*(h + 1)
Let b(q) = 2*q + 6. Let m be b(-3). Suppose m = 6*n - 21 - 3. Determine h so that 4/3*h**2 + 1/3*h**5 + 0 + 1/3*h + 2*h**3 + 4/3*h**n = 0.
-1, 0
Let f(n) = n + 5. Let w = 7 - 7. Let v be f(w). Factor 4*d**2 + d**3 + d**v - 2*d**5 + d**2 - 4*d**2 - d**4.
-d**2*(d - 1)*(d + 1)**2
Let t be (-52)/120 + (-10)/(-12). Let 42/5*b**4 - 8/5 + 32/5*b - 68/5*b**3 + t*b**2 = 0. Calculate b.
-2/3, 2/7, 1
Let v(f) be the third derivative of 1/24*f**6 - 5/8*f**4 + 0*f**5 + 0 + 0*f - 5/3*f**3 - 15*f**2. Suppose v(w) = 0. What is w?
-1, 2
Find n such that -5*n**4 - 3*n**4 + 16*n**2 - 2*n**4 - 24*n**2 + 6*n**4 - 12*n**3 = 0.
-2, -1, 0
Suppose 199*l = 194*l + 35. Let t be -4 + (-1 - -12 - l). Factor 2/17*y**2 + 2/17*y**3 + t*y + 0.
2*y**2*(y + 1)/17
Suppose 0 = -o - 2*c + 5, 0*o + 3*c = -2*o + 14. Suppose -44*l**3 - 6 + 2 - 4 + o*l**2 + 44*l - 5*l**2 = 0. Calculate l.
-1, 2/11, 1
Factor -28*g**2 + 25*g - 20 + 23*g**2 - 2 + 2.
-5*(g - 4)*(g - 1)
Suppose 7*t = 132 + 85. Solve -5*s**5 - 14*s**3 + t*s - 25*s**4 + 16 - 1 - 16*s**3 + 4*s + 10*s**2 = 0 for s.
-3, -1, 1
Let i(u) = u**3 - 4*u**2 + 3. Let w be i(1). Factor 3/2*k**4 + 0*k + 1/2*k**2 + 1/2*k**5 + 3/2*k**3 + w.
k**2*(k + 1)**3/2
Let u be -1 + 2 - (-6)/12*6. Let k(v) be the first derivative of -1/3*v**4 - 1/3*v**2 - 2/3*v**3 + u + 0*v. Factor k(z).
-2*z*(z + 1)*(2*z + 1)/3
Factor 4*p**2 - 105*p + 856 + 168 - 23*p.
4*(p - 16)**2
Factor -50*j**2 + 125/4*j - 15/2 + 75/2*j**3 - 25/2*j**4 + 5/4*j**5.
5*(j - 6)*(j - 1)**4/4
Let y be (-112)/(-18) + 1/(-9)*2. Let h(b) be the second derivative of 0*b**2 - 1/12*b**4 + 0 - y*b + 1/6*b**3. What is n in h(n) = 0?
0, 1
Let -25/2*j**2 + 1/2*j**4 + 9/2*j + 0 - 19/6*j**3 = 0. What is j?
-3, 0, 1/3, 9
Let k(g) = -g**2 - 7*g + 12. Let n = -20 - -14. Let b be k(n). Factor 17 + b*p - 46 + 2 - 3*p**2.
-3*(p - 3)**2
Let o(s) = -7*s + 86. Let d(i) = -i**3 + 15*i**2 + 15*i + 28. Let k be d(16). Let p be o(k). Find f, given that -1/3*f**p + 0*f + 1/3 = 0.
-1, 1
Let i be (-2)/(-2) + (-44)/4. Let n = i + 14. Let 4*s**2 - 2*s**n - 2*s**3 - 2*s**2 + 0*s**2 + 2*s**5 = 0. What is s?
-1, 0, 1
Let b(q) be the first derivative of -1/12*q**3 - 5*q - 1/24*q**4 + 0*q**2 - 2. Let j(a) be the first derivative of b(a). Suppose j(x) = 0. Calculate x.
-1, 0
Let o(z) be the first derivative of -z**3/9 + 8*z**2/3 - 5*z - 41. Let o(k) = 0. Calculate k.
1, 15
Let b = -3723 + 982871/264. Let j = 173/792 - b. Find a, given that j*a**2 + 2/9*a - 2/9*a**3 - 2/9 = 0.
-1, 1
Suppose 2*l + 5*r + 15 = 0, -r = -6*r - 25. Suppose -10*f**2 + f**l + 14*f**3 + 18*f**4 + 3*f**5 + 0*f**3 + 6*f**3 - 8 - 24*f = 0. What is f?
-2, -1, -1/2, 1
Let r be 30/(-12)*1/(-10). Let x(c) be the second derivative of 1/12*c**4 + 0 + 1/20*c**5 + 6*c - 1/12*c**3 - 1/84*c**7 - r*c**2 - 1/60*c**6. Factor x(f).
-(f - 1)**2*(f + 1)**3/2
Let y(t) be the first derivative of 0*t + 1/15*t**3 + 1/20*t**4 + 0*t**2 + 15. Factor y(h).
h**2*(h + 1)/5
Let j(z) = 31*z**2 - 34*z + 7. Let r be j(1). Factor -1/2*n**2 + 1/4*n**r + 0*n + 1/4 + 0*n**3.
(n - 1)**2*(n + 1)**2/4
Let x(k) = 4*k**2 - 38*k - 16. Let m be x(10). Let a be -1*m + (-11 - -17). Factor 2/3*t**2 + a + 8/3*t.
2*(t + 1)*(t + 3)/3
Suppose 3*h + 4*m - 4 = -h, -3*m - 3 = 0. Let u = 91 - 29. Let -2*g**3 - u*g + h*g**2 + 62*g = 0. Calculate g.
0, 1
Let x(g) be the second derivative of -3*g**5/20 + 5*g**4/2 - 23*g**3/2 + 21*g**2 - 3*g + 2. Factor x(d).
-3*(d - 7)*(d - 2)*(d - 1)
Let 6*n**3 + 48*n + n**5 - 51*n**2 - 3*n**5 + 21*n**4 + 19*n**4 - 65*n**2 - 128*n = 0. Calculate n.
-1, 0, 2, 20
Let q(o) = -o**3 + 8*o**2 - 14*o + 14. Let l be q(6). Factor x**2 - 15 + 0*x**l - 3*x + 17.
(x - 2)*(x - 1)
Let j(n) be the third derivative of -n**7/10080 - n**6/960 - n**5/240 - n**4/12 - 13*n**2. Let g(t) be the second derivative of j(t). Factor g(z).
-(z + 1)*(z + 2)/4
Factor 2/7*a**2 + 128/7 - 68/7*a.
2*(a - 32)*(a - 2)/7
Let -558/13*f**3 - 336/13*f**4 + 0 - 214/13*f**2 + 32/13*f**5 - 24/13*f = 0. Calculate f.
-1, -1/4, 0, 12
Let d(r) = 6*r**2 - 5*r. Suppose 2*q - 2 = 2. Let u(j) = -6*j - 7 + 7 + 7*j**q. Let s(o) = -6*d(o) + 5*u(o). Factor s(n).
-n**2
Let b(n) be the first derivative of -n**3/12 - n**2/4 - 181. Factor b(w).
-w*(w + 2)/4
Suppose o - 1 = 10. Let j(t) = t**3 - 11*t**2 + t - 7. Let p be j(o). Factor -3*v - 5*v**3 + 20*v**3 + 0*v**4 - 3*v**2 - 9*v**p.
-3*v*(v - 1)**2*(3*v + 1)
Let v(b) be the second derivative of -b**6/10 + 3*b**5/10 - b**3 + 3*b**2/2 + 16*b - 2. Factor v(i).
-3*(i - 1)**3*(i + 1)
Let w be ((732/(-24))/61)/(2/(-8)*1). Factor 5/4*y**3 + 80 + 60*y + 15*y**w.
5*(y + 4)**3/4
Suppose -4*o + 8*o = 16. Suppose -13 = -4*i + f, i + o*i - 19 = 4*f. Determine h so that 2*h - 3 + 5*h + 3*h**4 - i*h - 6*h**3 + 2*h = 0.
-1, 1
Let b(f) be the second derivative of f**5/20 - f**3/2 + f**2/2 - 2*f. Let d be b(2). Find t, given that 0 - d + 2*t + 1 + 2*t**2 - 2 = 0.
-2, 1
Let i(a) = a**2 - 15*a - 58. Let l(j) = -j**2 - j - 1. Let c(x) = -5*i(x) - 10*l(x). Factor c(n).
5*(n + 5)*(n + 12)
Let m(b) be the first derivative of b**3 + 291*b**2 + 28227*b + 34. Solve m(p) = 0.
-97
Let i(l) = 9*l - 3. Let x be i(2). Let g(b) = -1 + b + 12 + 20*b**2 - x*b. Let u(a) = 7*a**2 - 5*a + 4. Let f(d) = 6*g(d) - 17*u(d). Factor f(c).
(c - 1)*(c + 2)
Let r(d) be the third derivative of -d**8/336 - d**7/30 - 7*d**6/60 - d**5/30 + 5*d**4/8 + 3*d**3/2 + 64*d**2. Factor r(i).
-(i - 1)*(i + 1)**2*(i + 3)**2
Let t(b) be the second derivative of -b**5/20 + 3*b**4/16 - 5*b**3/24 + 26*b. Factor t(h).
-h*(h - 1)*(4*h - 5)/4
Suppose u - 5*z = -0*z + 4, -3*z = u - 4. Let o(w) be the first derivative of 5/12*w**u + 0*w + 8/9*w**3 - 1 - 2/3*w**2. Suppose o(p) = 0. Calculate p.
-2, 0, 2/5
Let s(q) be the second derivative of -1/8*q**4 + 0 + 0*q**3 + 3*q + 5/2*q**2 + 1/20*q**5. Let x(z) be the first derivative of s(z). Factor x(m).
3*m*(m - 1