 i - -904/5. What is t in 0 - m*t**2 - 4/5*t**4 - 1/5*t - 6/5*t**3 - 1/5*t**5 = 0?
-1, 0
Let v be ((-2)/2)/(5/135). Let b = v - -29. Factor 8/5*y**3 - b*y**2 + 4/5 - 14/5*y.
2*(y - 2)*(y + 1)*(4*y - 1)/5
Let f be (-2 - -5)/(4 - 3). Let a(b) be the first derivative of -2/3*b - 1/2*b**2 - 1/3*b**5 + 1/4*b**4 + 5 + 7/9*b**f. Suppose a(l) = 0. Calculate l.
-1, -2/5, 1
Let k(w) = w**2 + w - 1. Let q(b) = -16636*b**2 + 521*b - 9. Let c(i) = 5*k(i) - q(i). Factor c(h).
(129*h - 2)**2
Suppose -6*j - 141 = -183. Let u(v) be the first derivative of j + 0*v**4 + 0*v**2 + 0*v**3 - 7/27*v**6 + 0*v - 4/45*v**5. Factor u(m).
-2*m**4*(7*m + 2)/9
Let l(s) be the third derivative of 5/3*s**4 - 50/3*s**3 - 1/15*s**5 + 0 - 12*s**2 + 0*s. Find q such that l(q) = 0.
5
Suppose -5*g = -x - 15, g + g - 23 = -3*x. Let q(k) = k**3 - 6*k**2 + 10*k - 5. Let j be q(g). Factor 2/9*y - 2/9*y**j - 2/3*y**2 + 2/9*y**4 + 4/9.
2*(y - 2)*(y - 1)*(y + 1)**2/9
Let b(z) be the first derivative of -1/18*z**4 + 0*z - 2/27*z**3 + 0*z**2 + 28. Factor b(i).
-2*i**2*(i + 1)/9
Let u(k) be the second derivative of -2*k**6/75 + k**5/25 + 3*k**4/5 - 6*k**3/5 - 70*k. Solve u(y) = 0 for y.
-3, 0, 1, 3
Let z(s) = -2*s**2 - s + 1. Let a(n) = 13*n**2 - 86*n + 2110. Let k(i) = -a(i) - 6*z(i). Factor k(v).
-(v - 46)**2
Solve 6/11 - 8/11*w**3 + 8/11*w - 2/11*w**4 - 4/11*w**2 = 0 for w.
-3, -1, 1
Let f(j) be the second derivative of -22/45*j**3 + 0 - 121/15*j**2 - 1/90*j**4 - 29*j. Factor f(s).
-2*(s + 11)**2/15
Let p(g) = g**4 - g**3 + g**2 + g + 1. Let a(q) = -25*q**2 + 21*q**3 - 6 + q + 0*q**3 + 6*q - 9*q**4. Let s = -3 + -9. Let y(v) = s*p(v) - 3*a(v). Factor y(u).
3*(u - 1)**3*(5*u - 2)
Suppose -3*l = -6 - 66. Suppose -45*n + 33*n + l = 0. Factor -3/4*p**4 + 1/4*p**5 + 0*p - 1/4*p**n + 0 + 3/4*p**3.
p**2*(p - 1)**3/4
Factor -342/7*m + 9747/7 + 3/7*m**2.
3*(m - 57)**2/7
Suppose -3 = -4*t + 5. Let p = 15 + -13. Suppose -q**4 + 6*q + q**3 + 3*q**p - 16*q + 5*q + t = 0. What is q?
-2, 1
Let z be (1/3)/((-2)/(-36)). Let r = z + -4. Factor -18*h - 33*h + 19*h - 8 + 50*h**3 - 10*h**r.
2*(h - 1)*(5*h + 2)**2
Let g(a) be the first derivative of -a**4/60 + 2*a**3/15 + 3*a - 16. Let y(b) be the first derivative of g(b). Solve y(l) = 0 for l.
0, 4
Let y(j) be the third derivative of 5*j**2 - 5 - 1/12*j**5 + 5/1344*j**8 + 0*j**3 - 11/420*j**7 + 11/160*j**6 + 1/24*j**4 + 0*j. Find k, given that y(k) = 0.
0, 2/5, 1, 2
Let b(o) = -2*o**2 + 45*o - 205. Let y(n) = 3*n**2 - 67*n + 307. Let s be (10/(-45) + 195/27)/(-1). Let c(m) = s*b(m) - 5*y(m). Suppose c(u) = 0. Calculate u.
10
Let t(c) = 2*c**2 + 23*c + 16. Let m be (-2)/(-8) - ((-468)/(-16))/9. Let x(y) = -y**2 - 12*y - 8. Let l(s) = m*t(s) - 5*x(s). Solve l(g) = 0.
-8, -1
Suppose 11 = 24*v + 32*v + 11. What is n in v - 2/7*n**3 - 2/7*n**4 + 2/7*n**2 + 2/7*n = 0?
-1, 0, 1
Let o(g) be the third derivative of 0 + 1/24*g**4 - 11*g**2 - 1/120*g**6 + 0*g - 1/9*g**3 + 1/180*g**5 + 1/630*g**7. What is y in o(y) = 0?
-1, 1, 2
Let i(k) = 9*k**2 + 12*k + 21. Let v(b) = b**2 - b - 1. Let x(y) = -i(y) + 6*v(y). Factor x(a).
-3*(a + 3)**2
Let n be ((-1)/2)/((-1)/4). Let m = 1 + n. Suppose m*c + 3*c - 3*c + c - c**2 - 4 = 0. What is c?
2
Solve 75 - 27*t**5 - 472*t**3 - 261*t**4 + 405*t - 51*t**3 + 378*t**2 - 47*t**3 = 0 for t.
-5, -1/3, 1
Suppose -70 - 7 = -11*c. Factor 2*d**3 + 0*d**3 + 5*d**2 - d**3 + c*d + 3.
(d + 1)**2*(d + 3)
Let t(p) be the second derivative of -p**7/273 + p**6/65 + 3*p**5/65 - 5*p**4/39 - 7*p**3/13 - 9*p**2/13 + 32*p + 2. Factor t(d).
-2*(d - 3)**2*(d + 1)**3/13
Find j, given that 3*j**4 + 20*j**2 - 7*j**3 - 76*j**2 + 2*j**4 + j**4 + 3*j**4 - 12*j = 0.
-2, -2/9, 0, 3
Solve -1/5*t**4 + 0*t - 2/5*t**3 + 0 - 1/5*t**2 = 0 for t.
-1, 0
Suppose 9*u + 2*u = 33. Let k be (u/(-4))/(12/(-56)). Factor -o**2 + 1 + 7/2*o**3 - k*o.
(o - 1)*(o + 1)*(7*o - 2)/2
Let i(k) be the first derivative of -3/25*k**5 + 9/20*k**4 + 72/5*k - 42/5*k**2 - 17 + 6/5*k**3. Let i(a) = 0. What is a?
-3, 2
Let s be ((-4)/3)/((-224)/126). Find j such that -3/4*j**4 + s*j**2 + 0 + 3/4*j**5 - 3/4*j**3 + 0*j = 0.
-1, 0, 1
Let q(x) = -x. Let j be q(-2). Suppose -19*h + 21*h - 6 = -3*k, 2*k + 3*h - 9 = 0. Suppose 0 - 8/5*a**3 + k*a + 2/5*a**4 + 8/5*a**j = 0. What is a?
0, 2
Factor -156*r + 4*r**5 - 8*r**2 - 16*r**3 + 327*r - 159*r + r**2 + 8 - r**2.
4*(r - 2)*(r - 1)*(r + 1)**3
Let b(q) be the third derivative of -389017*q**6/360 + 5329*q**5/30 - 73*q**4/6 + 4*q**3/9 - 11*q**2 + 7*q. Factor b(w).
-(73*w - 2)**3/3
Let i(c) = -c**2 - 9*c - 8. Let j be i(-8). Suppose -5*q + 13 - 3 = j. Suppose q*v - 1/2*v**2 - 2 = 0. Calculate v.
2
Find x, given that -4*x**5 - 62*x**4 - 140*x**3 - 68*x**2 - 53*x**4 + 109*x**4 - 70*x**4 = 0.
-17, -1, 0
Factor -5*a**2 - 20 + 30*a + 11 - 9 - 27.
-5*(a - 3)**2
Let z(i) be the first derivative of i**6/54 - 2*i**5/5 + 37*i**4/18 - 124*i**3/27 + 31*i**2/6 - 26*i/9 + 252. Solve z(b) = 0.
1, 2, 13
Let p(q) = 5*q**3 + 73*q**2 - 265*q + 9. Let u(l) = -l**3 - 18*l**2 + 66*l - 2. Let z = 122 + -120. Let d(g) = z*p(g) + 9*u(g). Factor d(k).
k*(k - 8)**2
Let o(m) be the second derivative of -m**6/40 - m**5/20 - 4*m**2 - 15*m. Let y(r) be the first derivative of o(r). Factor y(v).
-3*v**2*(v + 1)
Let n = 1651 - 11553/7. Factor 4/7*i - n*i**2 + 0.
-4*i*(i - 1)/7
Let s be 3*4/54 + (-552)/54 + 12. Factor -24/7*y - 4/7*y**s + 4.
-4*(y - 1)*(y + 7)/7
Factor 6*x**2 - 36*x - 203*x**4 - 18*x**3 + 201*x**4 + 26*x**3.
-2*x*(x - 3)**2*(x + 2)
Let g(z) = 15*z**2 + 6*z + 3. Let n be g(-2). Let o = -25 + n. Find j such that 20*j**4 + 32*j - 16 - o*j**3 - 4*j**5 - j**5 - 4*j**2 - 2*j**3 + j**5 = 0.
-1, 1, 2
Let s = 81 + -57. Solve -o**3 + 3*o**2 + 9*o - s*o + 15*o = 0 for o.
0, 3
Suppose -12 = -3*w - 0*w. Let i = w + -2. Solve 4*v**2 - 7*v**4 + 4*v**4 + 6*v + 5*v**i = 0.
-1, 0, 2
Let l(d) be the second derivative of -d**6/120 - d**5/8 + d**4/16 + 7*d**3/6 - 5*d**2/2 - 3*d + 23. Factor l(m).
-(m - 1)**2*(m + 2)*(m + 10)/4
Find o such that 38/3*o + 2/3*o**4 + 14*o**2 + 6*o**3 + 4 = 0.
-6, -1
Solve -4/5*o**4 + 44/5*o**3 + 32/5 + 104/5*o + 116/5*o**2 - 4/5*o**5 = 0 for o.
-2, -1, 4
Factor 0 - 9/4*i**2 - 3/2*i + 9*i**3 - 21/4*i**4.
-3*i*(i - 1)**2*(7*i + 2)/4
Factor -1/3*g**4 - 76/3*g**3 - 722*g**2 - 130321/3 - 27436/3*g.
-(g + 19)**4/3
Suppose 2355*c - 28 = 2341*c. Find v such that 0 + 0*v**c - 2/17*v + 0*v**4 - 2/17*v**5 + 4/17*v**3 = 0.
-1, 0, 1
Let i = 22718/9 - 2524. Factor -4/3*g + 10/9 + i*g**2.
2*(g - 5)*(g - 1)/9
Let o(m) be the third derivative of -1/60*m**5 - 5/3*m**3 + 31*m**2 + 0 + 7/24*m**4 + 0*m. Factor o(h).
-(h - 5)*(h - 2)
Let r(l) = -l**2 + 10*l + 3. Let v be r(10). Factor 32 + 186*j**2 + 16*j**v + 4*j**4 + 26*j**3 - 114*j**2 + 80*j - 14*j**3.
4*(j + 1)*(j + 2)**3
Let o(b) = 5*b**3 - 2*b**2 + 2*b - 1. Let c be o(1). Factor 5*n**2 + n**c + 4*n - 279*n**3 - 3*n + n + 283*n**3.
n*(n + 1)**2*(n + 2)
Let x(g) = -5 + 7*g - 1 - g**2 + 3. Let s be x(6). Solve 2*f**3 + f + f - s*f - f = 0.
-1, 0, 1
Let h(c) be the first derivative of -c**7/168 + c**6/30 - c**5/16 + c**4/24 + 49*c - 6. Let o(b) be the first derivative of h(b). Find l such that o(l) = 0.
0, 1, 2
Let o(h) be the third derivative of h**5/12 - 255*h**4/8 - 385*h**3/3 - h**2 - 81*h. Factor o(b).
5*(b - 154)*(b + 1)
Let w(g) be the third derivative of g**7/280 + g**6/30 + g**5/10 - 2*g**3/3 + 166*g**2. Factor w(t).
(t + 2)**3*(3*t - 2)/4
Let -23*j + 2*j**2 - 8 + 35*j - 18*j = 0. Calculate j.
-1, 4
Let a(k) be the second derivative of k**7/70 - k**6/8 + 3*k**5/20 + 9*k**4/8 + 13*k**2/2 + 11*k. Let o(v) be the first derivative of a(v). Factor o(f).
3*f*(f - 3)**2*(f + 1)
Factor 21 - 25 + 16 - 12*c**2 + 32*c.
-4*(c - 3)*(3*c + 1)
Let a(k) be the second derivative of -k**5/80 + k**4/24 + 3*k**3/8 - 9*k**2/4 + 26*k + 7. Find f, given that a(f) = 0.
-3, 2, 3
Let i(h) = 2*h**5 - 29*h**4 - 99*h**3 - 125*h**2 - 67*h. Let x(q) = 2*q**5 + q**4 - q**3 + q**2 - q. Let d(s) = -i(s) + 3*x(s). Let d(c) = 0. What is c?
-2, 0
Let j = -42449 - -382049/9. What is n in j*n + 4/9*n**3 + 2/9*n**4 - 14/9*n**2 + 0 = 0?
-4, 0, 1
Determine r, given that -2/7*r**4 + 0 + 0*r**2 + 0*r**3 + 0*r - 2/7*r**5 = 0.
-1, 0
Suppose -4*g = -2*m - 8*g - 24, 21 = -3*g. What is j in 1/7 - 1/7*j**3 + 1/7*j - 1/7*j**m = 0?
-1, 1
Let b(l) = -3 - 2*l**3 - 1 + 5*l**2 +