 = -5*g**2 + 52*g + 406. Let v(j) = -a(j) - 6*q(j). Factor v(o).
-(o + 20)**2
Let j(l) be the second derivative of l**6/630 + l**5/210 - 5*l**3/3 - 11*l. Let v(d) be the second derivative of j(d). Factor v(f).
4*f*(f + 1)/7
Let 52*k**3 + k**4 + 7*k**4 + 4*k**5 - 5*k**5 + 40*k**2 - 3*k**5 = 0. Calculate k.
-2, -1, 0, 5
Suppose f = 3, -15*f + 11*f = -2*z + 18. Suppose -3*w = -189 - 318. Let z*n**2 + w - 169 + 9*n**3 - 6*n = 0. Calculate n.
-2, 0, 1/3
Let i(o) be the first derivative of 14*o**6/3 + 68*o**5/5 - 80*o**4/7 + 16*o**3/7 + 194. Suppose i(c) = 0. What is c?
-3, 0, 2/7
Find g such that -3/4*g + 1/2 + 1/4*g**3 + 0*g**2 = 0.
-2, 1
Let p(m) = -1. Let k(t) = -2*t - 18. Let a(r) = -k(r) - 2*p(r). Let y be a(-10). Find x such that y*x + 0 + 3/2*x**3 - 3/2*x**2 = 0.
0, 1
Suppose -9 + 4 + 10*c + 2*c**3 + 0 + 9 + 8*c**2 = 0. Calculate c.
-2, -1
Let j be (-10)/(-3)*(5 + -3 + 1). Let z be ((-6)/(-30))/(6/j). Determine f, given that 16/3 - 8/3*f + z*f**2 = 0.
4
Let h(w) be the third derivative of -5/9*w**3 + 1/30*w**5 + 0*w - 1/360*w**6 - 29*w**2 - 1/24*w**4 + 0. Factor h(y).
-(y - 5)*(y - 2)*(y + 1)/3
Suppose -180 = -6*b + 2*b. Let i = -31 + b. Factor -6 + 29*t**3 - i*t + 6*t**2 - 7*t - 8*t**3.
3*(t - 1)*(t + 1)*(7*t + 2)
Suppose 7 = 5*p - r, -p + 4 = -r + 5. Let v be ((-6)/(-5))/(4/10). Solve -p*g**v + 3*g + g**3 + 0 - 3 + 5 = 0.
-1, 2
Let v = -7717/5 + 1547. Find d, given that -8/5 - 4/5*d**2 + v*d = 0.
1/2, 4
Factor -7*s**2 - 5*s**2 + 8*s**5 - 10*s**5 + 4*s**4 - 3*s**2 - 8*s + 7*s**2 + 6*s**3.
-2*s*(s - 2)**2*(s + 1)**2
Let r = -32 + 35. Factor -6 - 12 + 93 - 52*q + r*q**2 + 82*q.
3*(q + 5)**2
Suppose -50*z + 53*z = 0. Let y(h) be the third derivative of 1/4*h**4 + z + 3/20*h**5 + h**2 + 0*h**3 + 0*h**6 + 0*h - 1/70*h**7. Let y(b) = 0. What is b?
-1, 0, 2
Let a = -2192 - -2192. Factor a + 4/7*w - 4/7*w**2.
-4*w*(w - 1)/7
Suppose 2*h + 3*j = 5*h - 30, -10 = -5*h - 3*j. Suppose g = 10*g + h*g. Factor g*f - 2/3*f**3 + 4/3*f**2 + 0.
-2*f**2*(f - 2)/3
Let d(t) = 2*t**3 - 5*t**2 - 2*t + 2. Let c(a) = a**3 - 4*a**2 - a + 2. Suppose 2*j - 10 = -5*w, 0*w - 3*j - 35 = -5*w. Let m(r) = w*d(r) - 6*c(r). Factor m(g).
2*(g - 1)*(g + 1)*(g + 2)
Factor -48/7*b**3 + 18/7*b**2 + 0*b + 24/7*b**4 + 0.
6*b**2*(2*b - 3)*(2*b - 1)/7
Let q(l) be the first derivative of 2*l**5/15 + 2*l**4 - 25. Suppose q(z) = 0. What is z?
-12, 0
Suppose -3*g = 82 - 1066. Suppose -325*b = -g*b. Let 0*f**3 - f**2 + b*f + 1/2 + 1/2*f**4 = 0. Calculate f.
-1, 1
Let o be 51/7 - ((-182)/((-169)/13) - 7). Factor -10/7*b**2 + 16/7*b + o*b**3 - 8/7.
2*(b - 2)**2*(b - 1)/7
Suppose 0 = -3*r + 3 + 3. Factor -9 + 20*p**3 + 4 + 4*p + 26*p - 45*p**r.
5*(p - 1)**2*(4*p - 1)
Let a(s) = s**2 + 11*s + 12. Let p be a(-10). Suppose 14 = 4*l + 6. Suppose -x**l + x**2 + p*x**3 - x**2 - 5*x**2 - 2 + 6*x = 0. Calculate x.
1
Suppose 0 = 10*z + 100 - 120. Let k(p) be the second derivative of 0 + 1/24*p**4 - 1/6*p**3 + 0*p**z - 9*p. Factor k(u).
u*(u - 2)/2
Let d(h) be the second derivative of -10*h + 1/33*h**4 + 0*h**2 + 3/110*h**5 + 0 - 1/33*h**3. Factor d(b).
2*b*(b + 1)*(3*b - 1)/11
Let v = 36 + -32. Suppose 37*j**3 - 88*j**2 + 28*j**5 + 79*j**3 - 32 - 123*j**4 + 243*j**v - 144*j = 0. What is j?
-2, -1, -2/7, 1
Let p = -8 + 10. Suppose -c + 1 = -p. Factor 0*i**2 + c*i + 3*i**2 + 0*i**2 - 12*i + 6.
3*(i - 2)*(i - 1)
Let o(f) be the second derivative of 11*f**4/12 + 19*f**3/2 + 5*f**2 + 50*f + 1. Factor o(a).
(a + 5)*(11*a + 2)
Let j(m) = -m**3 - 3*m**2 + 11*m + 1. Let f be j(-7). Let o = f - 838/7. Factor 0*t + 2/7*t**2 + 0 - 2/7*t**3 + o*t**5 - 2/7*t**4.
2*t**2*(t - 1)**2*(t + 1)/7
Let l = 77 - 81. Let k be l/8*-2 + 3 - 4. Determine f, given that k*f + 8/5 - 2/5*f**2 = 0.
-2, 2
Let f = 70 - -29. Let s be 2/5*f/22. Factor 3/5*b**4 + s*b**3 + 0 + 3/5*b + 9/5*b**2.
3*b*(b + 1)**3/5
Let w = -265/3 + 89. Factor 0 - 1/6*j**5 + 1/3*j**4 - w*j**2 - 2/3*j + 1/2*j**3.
-j*(j - 2)**2*(j + 1)**2/6
Let l be -9 + 25 - (-3 + 17). Factor -1/3*v**3 - 4/3 + v**l + 0*v.
-(v - 2)**2*(v + 1)/3
Suppose -4*b - 3 = -0*b - 3*n, 4*n - 4 = -3*b. Let w(j) = 2*j**2 - j + 2. Let s be w(b). Factor 0*g + 0*g**s + 0 + 12/17*g**4 + 18/17*g**3 + 2/17*g**5.
2*g**3*(g + 3)**2/17
Let l = 2560 + -2554. Solve 3/5*d**2 - l + 27/5*d = 0.
-10, 1
Let o(q) be the second derivative of q**7/140 - q**6/72 - q**5/90 + q**4/18 + 7*q**3 - q. Let z(b) be the second derivative of o(b). Find k such that z(k) = 0.
-1/2, 2/3
Let o(u) be the second derivative of u**7/630 - u**6/60 - 3*u**4/4 - 5*u. Let y(d) be the third derivative of o(d). Find z, given that y(z) = 0.
0, 3
Let l be 22/8 + (-3)/4. Suppose -4*j**2 + 2*j**2 + 6*j + 5*j**l - 18*j = 0. What is j?
0, 4
Let v = 2/13193 - -13185/52772. Find z such that -v*z**2 + 7/2*z - 49/4 = 0.
7
Let r = -1/323 - -327/1292. Let j(p) be the first derivative of -r*p**4 + 1 - 1/2*p**2 + 0*p - 2/3*p**3. Determine v, given that j(v) = 0.
-1, 0
Determine m, given that -2/5*m + 31/10*m**3 - 18/5*m**2 - 7/10*m**4 + 8/5 = 0.
-4/7, 1, 2
Factor 172*n**2 - 336*n**2 + 169*n**2 - 25*n - 70.
5*(n - 7)*(n + 2)
Let f(s) be the second derivative of -s**7/273 + s**6/39 - s**5/13 + 5*s**4/39 - 5*s**3/39 + s**2/13 + s + 2. Factor f(r).
-2*(r - 1)**5/13
Let t(l) = -l**2 + 4*l + 16. Let g be t(6). Let h be g + (-5)/(75/54). Find v such that 0*v**4 - h*v**2 + 3/5*v**3 - 1/5*v**5 + 0*v + 0 = 0.
-2, 0, 1
Let b(y) = -y + 6. Let k be b(13). Let p = -11/2 - k. Factor 9/2*d**2 + 0 + 3*d + p*d**3.
3*d*(d + 1)*(d + 2)/2
Let i(p) = -5*p**3 - 10*p**2 + 6. Let d(h) = -15*h**3 - 30*h**2 + 17. Let c = -27 + 44. Let b(v) = c*i(v) - 6*d(v). Factor b(s).
5*s**2*(s + 2)
What is i in -51/7*i**3 - 12/7 - 96/7*i + 21*i**5 + 33*i**4 - 219/7*i**2 = 0?
-1, -2/7, 1
Let l(n) be the first derivative of -n**4/14 + 4*n**3/7 - 8*n**2/7 + 23. Solve l(w) = 0 for w.
0, 2, 4
Let x(d) be the first derivative of 2*d**5/5 - 6*d**4 + 32*d**3 - 64*d**2 + 387. Let x(u) = 0. Calculate u.
0, 4
Suppose -5*t = 5*m - 65 + 65, -4*t = -16*m. Find i, given that -3/5*i**3 + 0 + m*i + 3/5*i**2 = 0.
0, 1
Suppose 1734/5 - 202/15*g**2 - 2/15*g**3 - 1666/5*g = 0. Calculate g.
-51, 1
Suppose 26*t - 23*t - 6*t**3 + 3*t**3 = 0. Calculate t.
-1, 0, 1
Let d(y) be the second derivative of -y**5/5 + 10*y**4/3 + 26*y**3/3 - 44*y**2 + 62*y - 4. Factor d(n).
-4*(n - 11)*(n - 1)*(n + 2)
Let g = 2 + 1. Factor -4*w**5 + w**5 + 15*w + 6*w**g - 18*w.
-3*w*(w - 1)**2*(w + 1)**2
Let v(f) be the second derivative of f**4/84 - 104*f**3/21 + 5408*f**2/7 + 111*f - 1. Factor v(r).
(r - 104)**2/7
Let p = 89 + -88. Let r be 0/7*(-1)/p. Factor -4/9*a**4 + 0*a + r - 2/9*a**3 - 2/9*a**5 + 0*a**2.
-2*a**3*(a + 1)**2/9
Let i = -1367/90 + 74/5. Let p = 5/9 + i. Solve -p*g**3 + 0 - 1/3*g - 1/2*g**2 = 0.
-2, -1, 0
Let o be 1/(2/4*(-3 + 1)). Let m be 972/(-252) - 5*o. Factor 4/7*i + 4/7*i**2 - m.
4*(i - 1)*(i + 2)/7
Suppose 0*g + 0 + 6*g**4 - 10*g**3 - 2/3*g**5 - 50/3*g**2 = 0. Calculate g.
-1, 0, 5
Suppose -2*n - 4*n = -30. Let m be n - ((-2)/4)/((-2)/8). Factor 2/3*j**4 + 0*j + 2/3*j**2 - 4/3*j**m + 0.
2*j**2*(j - 1)**2/3
Let d(o) be the second derivative of -5/33*o**3 - 3/11*o**2 + 0 - 17*o + 1/110*o**5 - 1/66*o**4. What is c in d(c) = 0?
-1, 3
Suppose 4*s = -2*l + 7*l, 0 = -2*l + 4*s. Let n(u) be the second derivative of 0*u**3 + l*u**4 + 1/30*u**5 - 4*u + 0 + 0*u**2. Factor n(b).
2*b**3/3
Let s(l) be the second derivative of 3*l**6/40 + 7*l**5/60 - l**4/12 + 5*l**2 - 17*l. Let k(b) be the first derivative of s(b). Factor k(n).
n*(n + 1)*(9*n - 2)
Let w(n) = n**4 - n**3 + 4*n - 1. Let t(l) = -l**2 - l + 1. Let k be (-86)/(-4) + (-4)/(-8). Let j = -19 + k. Let r(p) = j*t(p) + w(p). Solve r(a) = 0 for a.
-1, 1, 2
Let p(u) be the first derivative of -3*u**4/8 - u**3/2 + 27*u**2/4 + 27*u/2 - 259. Suppose p(s) = 0. Calculate s.
-3, -1, 3
Let z(o) be the third derivative of o**5/40 - o**4/16 - 3*o**3/2 + 21*o**2 + 2*o. Find v, given that z(v) = 0.
-2, 3
Let g(w) = 2*w**3 - 2*w**2 - w. Let c(u) = -u**3 + u**2. Let z(v) = 3*c(v) + 2*g(v). Factor z(m).
m*(m - 2)*(m + 1)
Let p be -9 - (-21 + 1) - 9. Factor -4/9 + 2/3*x - 2/9*x**p.
-2*(x - 2)*(x - 1)/9
Suppose -12*f = -0 - 12 - 36. Factor 0 + f*l**2 + 16/5*l**3 + 4/5*l**4 + 8/5*l.
4*l*(l + 1)**2*(l + 2)/5
Let q(w) = 6 - 5 - w - 3 - 1. Let z be q(-6). Factor -6*u**2 + u**3 - z*u - 4