 - 25*y**3/4 + 2*y**2 - 92*y. What is i in j(i) = 0?
-1, 1, 3, 5
Let z(i) = i**2 + 5*i - 9. Let q be z(2). Let o(m) be the first derivative of 1 + 2/25*m**q + 4/15*m**3 + 1/4*m**4 + 0*m + 1/10*m**2. Factor o(d).
d*(d + 1)**2*(2*d + 1)/5
Solve -3/2 + 1/4*a + 1/4*a**3 + a**2 = 0 for a.
-3, -2, 1
Determine f, given that 5023*f**5 - 4948*f**5 - 140*f**2 + 20*f - 95*f**3 + 81*f**4 + 59*f**4 = 0.
-2, -1, 0, 2/15, 1
Find a such that -7/8*a**3 - 5 + 53/4*a - 59/8*a**2 = 0.
-10, 4/7, 1
Let r(f) be the third derivative of f**6/960 - 5*f**5/48 - 103*f**4/192 - 13*f**3/12 + 303*f**2. Factor r(x).
(x - 52)*(x + 1)**2/8
Find v, given that -34/5*v**4 + 0 + 0*v - 8/5*v**2 + 32/5*v**3 + 2*v**5 = 0.
0, 2/5, 1, 2
Suppose -5*c + 8*c - 12 = 0. Let n be (-15 - -11) + -14*(-2)/c. Suppose 0 + 2/9*l**2 + 0*l + 2/9*l**4 - 4/9*l**n = 0. What is l?
0, 1
Let h(d) be the first derivative of 7/2*d**4 - 7/9*d**6 - 4/15*d**5 + 4/3*d**2 + 0*d - 24 + 40/9*d**3. Find k such that h(k) = 0.
-1, -2/7, 0, 2
Suppose 67*l - 58*l = 27. Let s(z) be the third derivative of -1/12*z**4 + 1/60*z**5 + 7*z**2 + 0 - 1/2*z**l + 0*z. Factor s(h).
(h - 3)*(h + 1)
Factor -5*z**2 - 37*z + 17*z - 50*z.
-5*z*(z + 14)
Let w = -863 - -867. Let y(m) be the second derivative of 0*m**2 + 2/15*m**3 + 0 - 6*m - 1/100*m**5 + 0*m**w. Factor y(f).
-f*(f - 2)*(f + 2)/5
Let n(h) be the third derivative of -h**6/180 + 4*h**5/135 - h**4/36 - 2*h**3/27 + 2*h**2 - 39*h. Factor n(k).
-2*(k - 2)*(k - 1)*(3*k + 1)/9
Find a, given that 4/3*a**3 - 1/3*a**4 + 20 + 49/3*a**2 + 104/3*a = 0.
-3, -2, -1, 10
Let y(z) be the second derivative of z**6/360 + z**5/45 - 5*z**4/72 - 9*z**2/2 + 20*z. Let k(d) be the first derivative of y(d). Solve k(u) = 0 for u.
-5, 0, 1
Let n(u) = -u - 23. Let m be n(-20). Let w be 0 + (-5)/(15/7) - m. Factor -w*q**2 + 4/3*q + 2.
-2*(q - 3)*(q + 1)/3
Find x such that 157*x**5 - 16*x**2 - 323*x**5 - 4*x**3 + 170*x**5 + 16*x**4 = 0.
-4, -1, 0, 1
Let t(n) be the first derivative of n**6/70 + 9*n**5/140 - 17*n - 16. Let p(z) be the first derivative of t(z). Determine w, given that p(w) = 0.
-3, 0
Factor 114*i**2 + 40326/5*i - 40898/5 + 2/5*i**3.
2*(i - 1)*(i + 143)**2/5
Let t be (4 - (-40)/(-5)) + 6. Suppose 0 = -k - 3*q - 1, -5 = -t*k + 2*q - q. Determine n so that -2/11*n**k + 0*n + 0 = 0.
0
Let q(n) be the second derivative of -n**7/56 - 3*n**6/40 + 3*n**5/80 + 11*n**4/16 + 3*n**3/2 + 3*n**2/2 - 209*n. Solve q(a) = 0.
-2, -1, 2
Let w = 34 - 34. Let j(c) be the first derivative of w*c**2 + 0*c**5 - 5/6*c**6 + 10/3*c**3 + 8 + 15/4*c**4 + 0*c. Factor j(q).
-5*q**2*(q - 2)*(q + 1)**2
Suppose 2*r = -5*q + 16 - 1, -2*q = -r - 6. Let o(x) be the first derivative of 0*x + 1/4*x**2 - 1 + 1/6*x**q. Suppose o(y) = 0. What is y?
-1, 0
Let d(v) = -v**2 - 17*v. Let y(r) = -7*r. Let o(h) = -4*d(h) + 20*y(h). Solve o(z) = 0.
0, 18
Let m(n) be the third derivative of -17/84*n**4 + 3*n**2 - 289/42*n**3 + 0*n - 1/420*n**5 - 1. Factor m(k).
-(k + 17)**2/7
Let f(m) be the third derivative of m**6/240 + 31*m**5/120 - 25*m**4/12 + 17*m**3/3 - 3*m**2 + 2*m. Factor f(b).
(b - 2)*(b - 1)*(b + 34)/2
Determine a so that 74/11*a**4 - 104/11*a**3 - 14/11*a**5 + 0*a + 0 + 24/11*a**2 = 0.
0, 2/7, 2, 3
Suppose 11*a + a + 132 = 0. Let x be (-2)/(30/a) - (-3)/5. Factor -2 - x*b + 2/3*b**2.
2*(b - 3)*(b + 1)/3
Let k(b) be the second derivative of b**7/126 - b**6/90 - 7*b**5/60 + b**4/36 + b**3/3 - 10*b + 1. Determine l, given that k(l) = 0.
-2, -1, 0, 1, 3
Let a(t) be the third derivative of -t**5/420 + 5*t**4/28 - 4*t**3/3 + 631*t**2. Let a(i) = 0. What is i?
2, 28
Determine k, given that 164*k**2 - 10*k**4 - 479*k**2 - 75*k**3 + 5*k**4 - 245*k = 0.
-7, -1, 0
Factor 3*u - 10*u + 24 - 2*u**2 + 34*u - 5*u.
-2*(u - 12)*(u + 1)
Find f, given that 1312*f + 384 - 490*f**2 - 1080*f**3 + 28*f**5 + 90*f**2 - 47*f**4 - 197*f**4 = 0.
-2, -2/7, 1, 12
Solve 8 + 13 - 45*p + 74221*p**2 - 74215*p**2 = 0 for p.
1/2, 7
Let i(a) = 2*a + 4*a - a**2 + a - 6*a + 1. Let b(v) = -6*v - 3 - 4*v + 5*v**3 - 11*v - 18 + 6*v**2. Let z(w) = b(w) + i(w). Factor z(n).
5*(n - 2)*(n + 1)*(n + 2)
Let o(v) be the second derivative of -v**8/448 + 3*v**7/280 - 3*v**6/160 + v**5/80 - 5*v**2/2 + 12*v. Let f(n) be the first derivative of o(n). Factor f(h).
-3*h**2*(h - 1)**3/4
Let h(y) be the second derivative of -9/5*y**2 + 3*y + 0 + 1/20*y**4 + 1/2*y**3. Factor h(g).
3*(g - 1)*(g + 6)/5
Factor -79*s + 21*s**2 - 66*s**2 + 589*s + 308 - 852 - 901.
-5*(3*s - 17)**2
Let y = -1/201 - -409/1407. Factor 0*l + 2/7*l**2 - y*l**3 + 0.
-2*l**2*(l - 1)/7
Let s(c) = -c**4 + c**2 + 1. Let u(f) = 11*f**4 - 5*f**3 - 6*f**2 - 6. Let g(v) = 6*s(v) + u(v). Factor g(k).
5*k**3*(k - 1)
Let c(o) be the third derivative of -o**8/2940 - o**7/490 - o**6/210 - o**5/210 - o**3/2 + 14*o**2. Let s(z) be the first derivative of c(z). Factor s(x).
-4*x*(x + 1)**3/7
Let v(d) = -15*d**3 - 9*d**2 + 36*d - 20. Let j(h) = 55*h**2 + 60*h**3 + 5*h**3 - 215*h + 89 + 25*h**3 + 31. Let z(p) = -4*j(p) - 25*v(p). Factor z(a).
5*(a - 1)*(a + 2)*(3*a - 2)
Let v(z) be the first derivative of 11 - 1/15*z**6 + 0*z + 2/3*z**3 + 2/5*z**2 - 2/25*z**5 + 3/10*z**4. Suppose v(j) = 0. Calculate j.
-1, 0, 2
Suppose 3*c = -d + 21, -7*c + 8*c - 3*d = -3. Suppose 10 = c*t - t. Factor 3 + 3*j + 1/9*j**3 + j**t.
(j + 3)**3/9
Let s(k) be the second derivative of k**6/24 + k**5/3 + 5*k**4/8 - 5*k**2 - 14*k. Let o(r) be the first derivative of s(r). Factor o(w).
5*w*(w + 1)*(w + 3)
Let p(n) = 14*n - 154. Let r be p(11). Let u(m) be the second derivative of 0 + 1/15*m**3 - m + r*m**4 + 0*m**2 - 1/50*m**5. Determine j, given that u(j) = 0.
-1, 0, 1
Let d(x) be the third derivative of x**8/112 - 2*x**7/35 + x**6/10 + x**5/10 - 5*x**4/8 + x**3 + 2*x**2 - 5. Solve d(s) = 0 for s.
-1, 1, 2
Let o(s) be the first derivative of -s**5/25 - 3*s**4/20 + s**3/3 + 3*s**2/10 - 4*s/5 - 43. Factor o(a).
-(a - 1)**2*(a + 1)*(a + 4)/5
Let 0*c + 0*c**2 - 2/5*c**4 + 0 + 2*c**3 = 0. Calculate c.
0, 5
Let h(i) be the third derivative of i**6/300 + 3*i**5/50 - i**4/6 + 761*i**2. Solve h(q) = 0 for q.
-10, 0, 1
Suppose 0*k - 4*k = -12. Factor -w**3 - 2*w**2 + 11*w**k - 9*w**3 + w.
w*(w - 1)**2
Let o be -1 - (1 - 0) - -1. Let a(t) = -t**2 - 2. Let d be 5/(10*(-4)/(-16)). Let j(g) = -g**2 + 1. Let z(w) = d*j(w) + o*a(w). Solve z(l) = 0.
-2, 2
Let i(a) = -2*a**2 - 13*a - 50. Let y(j) = -j**2 - j - 19. Let r(d) = -d**2 - 18. Let s(w) = -6*r(w) + 7*y(w). Let m(u) = 3*i(u) - 7*s(u). Factor m(f).
(f + 5)**2
Let w(s) be the third derivative of 0*s + 1/2100*s**7 + 0*s**4 + 0 + 1/600*s**6 - 7*s**2 + 1/600*s**5 + 0*s**3. Let w(f) = 0. What is f?
-1, 0
Let i(x) = -3*x**4 - 9*x**3 - 27*x**2 - 25*x. Let l(h) = h**4 - h. Let t(a) = i(a) + 2*l(a). What is z in t(z) = 0?
-3, 0
Suppose y + 4*y + 5 = 0. Let n be (4/y)/((-20)/15). Factor -z**2 + 2*z**2 + 0*z - n*z + z.
z*(z - 2)
Suppose -5/4*y + 0 + 1/4*y**3 + y**2 = 0. What is y?
-5, 0, 1
Suppose r + 6*v = 5*v - 6, -20 = -2*r + 2*v. Find d such that 2/13*d - 12/13 + 2/13*d**r = 0.
-3, 2
Let w = -3 - -6. Let r = 55 + -52. Determine x, given that 2*x**3 + 7*x**r - 11*x**w = 0.
0
Factor 21*o + 2*o - 2*o**2 + 2*o**2 + 9*o - 32 + 2*o**2 - 2*o**3.
-2*(o - 4)*(o - 1)*(o + 4)
Let y(o) be the third derivative of -1/12*o**6 + 1/4*o**5 - o + 0 - 15*o**2 - 1/42*o**7 + 5/6*o**4 - 10/3*o**3. Factor y(z).
-5*(z - 1)**2*(z + 2)**2
Solve 2*s**5 - 7*s**3 - 71*s + 4*s**4 + 59*s + 34*s**2 + 2*s**4 - 23*s**3 = 0 for s.
-6, 0, 1
Let k be (-15 + 14)/((-2)/(-54)). Let t = k - -31. What is n in n**3 + n**5 + 2*n**3 + 2 - 3*n + 2*n**4 - 5*n**3 - t*n**2 + 4*n = 0?
-2, -1, 1
Let t(l) be the third derivative of 0 - 2*l**2 + 1/96*l**4 + 0*l + 0*l**3 - 1/1344*l**8 + 0*l**6 + 1/420*l**7 - 1/120*l**5. Suppose t(n) = 0. Calculate n.
-1, 0, 1
Let y(g) be the third derivative of -5/48*g**4 - 1/24*g**6 + 0*g**3 - g**2 + 0*g + 0 - 1/168*g**7 - 5/48*g**5. Factor y(l).
-5*l*(l + 1)**2*(l + 2)/4
Let i be 17/(-17)*3 + 6 + 1. Let j(f) be the third derivative of 0 - 1/30*f**5 + 4/9*f**3 + 0*f + 0*f**4 + i*f**2 - 1/180*f**6. Factor j(r).
-2*(r - 1)*(r + 2)**2/3
Let i(f) = -f**3 + 6*f**2 + 12*f. Let m be i(6). Let w be 2/m + (-1 - (-33)/27). What is u in 1/4*u**2 + w + 1/2*u = 0?
-1
Let o(w) be the first derivative of -w**5/5 + 2*w**4 - 5*w**3/3 - 25*w**2 + 185. Factor