(q) = 3*q + 4*q - 4*q**2 - 7*q**2 - 5 + 0*q**2. Let t be 16/12*6 + -3. Let m(s) = t*c(s) + 18*h(s). Factor m(b).
-3*b*(b - 2)
Let -38/7 + 36/7*n + 2/7*n**2 = 0. Calculate n.
-19, 1
Let l be ((-6)/(-15))/((-7)/(-105)). Suppose -s - l = -11. Factor 3*h + 3*h**5 - 5*h**4 + h**s + 10*h**3 - 10*h**2 - 1 - 3*h**5 + 2*h.
(h - 1)**5
Suppose 8 + 2 = 5*p. Factor -11 - 44*s + 5 - 1 - 9 + 12*s**p.
4*(s - 4)*(3*s + 1)
Let s = 2/1445 + 7219/4335. Factor 25/6 + 1/6*o**2 - s*o.
(o - 5)**2/6
Let g be 4 - 8/(-1)*-4. Let o = 30 + g. Factor -6/11*w**4 + 2/11*w**o + 4/11*w**5 + 0*w**3 + 0*w + 0.
2*w**2*(w - 1)**2*(2*w + 1)/11
Suppose 3*l = -l. Suppose f - 5*f + 3*j + 14 = l, 5*f + 4*j = 2. Let -11*a**4 - 2*a**f + 0*a**2 - 4*a**3 + 0*a**2 + 9*a**4 = 0. Calculate a.
-1, 0
Factor -3*d**2 - 991 + 5*d**2 + 736 - 7*d**2 + 260*d.
-5*(d - 51)*(d - 1)
Solve -2*i + 31*i**2 + 64 + 2*i**3 - 86 - 9*i**2 = 0.
-11, -1, 1
Factor -243/4 - 3*r**2 + 7/2*r**3 - 1/4*r**4 - 135/2*r.
-(r - 9)**2*(r + 1)*(r + 3)/4
Let v(p) be the first derivative of 9*p**3 - 12*p**2 - 3*p + 6. Factor v(r).
3*(r - 1)*(9*r + 1)
Let r(i) be the second derivative of i**6/210 + i**5/35 - i**4/28 - i**3/3 - 4*i**2/7 - 228*i. Let r(b) = 0. What is b?
-4, -1, 2
Solve -5 + 10*i**4 - 22*i**4 + 17*i**4 - 35*i**2 - 5*i + 35 + 5*i**3 = 0.
-3, -1, 1, 2
Let o(h) be the second derivative of -h**4/3 - 2*h**3/3 + 40*h**2 + 454*h. Factor o(w).
-4*(w - 4)*(w + 5)
Let r(q) be the second derivative of 3*q**5/5 - 25*q**4/3 - 118*q**3/3 - 62*q**2 + 91*q. Solve r(j) = 0.
-1, 31/3
Let p(q) be the second derivative of -q**5/10 + 8*q**4/3 + 35*q**3/3 + 18*q**2 - 668*q. What is t in p(t) = 0?
-1, 18
Factor -30*c - 2*c**2 - 8 - 24 - 2*c**2 + 66*c.
-4*(c - 8)*(c - 1)
Factor 2/5*i**2 - 56/5 + 6/5*i.
2*(i - 4)*(i + 7)/5
Factor -24*q**2 - 87 - 10*q**3 - 69*q**2 + 7*q**3 - 177*q.
-3*(q + 1)**2*(q + 29)
Let s be (-2 - -4) + 6/9*-3. Let m be -2 + s + 65/25. Suppose -2/5 - 1/5*o**2 + m*o = 0. What is o?
1, 2
Let m be 0/2*4/(-12). Let w be (2 + 2 + -3)*2. Find y such that y**w - y**3 + 6*y - 3*y + m*y - y = 0.
-1, 0, 2
Let n(m) be the first derivative of 5*m**6/36 + 5*m**5/3 - 55*m**4/24 - 270. Factor n(w).
5*w**3*(w - 1)*(w + 11)/6
Let k(q) = -44*q**3 - 92*q**2 - 60*q + 12. Let v(z) = 18*z**3 + 37*z**2 + 24*z - 5. Let g(i) = 5*k(i) + 12*v(i). Factor g(s).
-4*s*(s + 1)*(s + 3)
Let s(p) be the second derivative of 0*p**2 + 0 - 1/27*p**3 - 1/54*p**4 - p. Let s(a) = 0. Calculate a.
-1, 0
Let l(h) be the first derivative of 10 + 3/20*h**4 - 1/5*h**3 + 0*h**2 + 0*h. Let l(b) = 0. What is b?
0, 1
Let p(s) be the third derivative of -s**6/8 + 5*s**5/6 - 5*s**4/24 - 5*s**3 + 5*s**2. Determine g so that p(g) = 0.
-2/3, 1, 3
Let s(f) = -10*f**4 + 41*f**3 + 169*f**2 - 320*f - 993. Let x(l) = -5*l**4 + 21*l**3 + 84*l**2 - 160*l - 498. Let m(z) = 6*s(z) - 11*x(z). Factor m(c).
-5*(c - 4)**2*(c + 2)*(c + 3)
Let k be (-2)/27*-3 + (-2072)/(-72). Let u be (4/5)/((-4)/(-10)). Let -17*g**3 + 2 - 2*g**3 - k*g**3 + 44*g**u - 16*g + 0*g**3 + 18*g**4 = 0. Calculate g.
1/3, 1
Let f(g) be the second derivative of -g**4/3 + 32*g**3/3 - 132*g. Factor f(n).
-4*n*(n - 16)
Let u(j) be the third derivative of 0*j - j**2 + 0 + 0*j**4 - 1/180*j**5 + 0*j**3 + 1/180*j**6 + 1/252*j**8 + 1/90*j**7. Factor u(h).
h**2*(h + 1)**2*(4*h - 1)/3
Let b(o) = o**2 - 5*o + 9. Let f be b(0). Factor 3*q**3 + 6 - 6*q**2 - f*q**2 + 5*q**4 - 3*q + 0*q**3 + 4*q**4.
3*(q - 1)*(q + 1)**2*(3*q - 2)
Let j = -45 + 33. Let q be (j - -6)*(-1)/4. Let 3/4*v**3 - q*v**2 - 9/4*v**5 + 0 + 3*v**4 + 0*v = 0. What is v?
-2/3, 0, 1
Factor 60/7 + 24/7*o - 3/7*o**2.
-3*(o - 10)*(o + 2)/7
Let j be 12/7 - 2/(-7). Find h such that 27*h**4 - 24*h - 9*h**j - 29*h**2 + 64*h**2 + 58*h**2 - 90*h**3 = 0.
0, 2/3, 2
Let b = 10 - 5. Suppose 5*u = 25, -2*k - u - 11 = -4*u. Factor -w**2 + 4*w + 4*w**k - b*w**2.
-2*w*(w - 2)
Suppose 1/4*r**3 - 3/2*r**2 + 3*r - 2 = 0. What is r?
2
Factor 12/5*z**2 + 184/5*z - 128/5.
4*(z + 16)*(3*z - 2)/5
Suppose y - 5 = -4*a, -8 - 17 = -5*y. Factor -1/5*o**3 + 2/5 + 3/5*o + a*o**2.
-(o - 2)*(o + 1)**2/5
Let p(c) = -c**2 - 94*c - 4. Let g(t) = -3*t**2 - 189*t - 10. Let f(y) = -4*g(y) + 10*p(y). Let f(q) = 0. What is q?
0, 92
Let n(k) be the second derivative of -5/18*k**3 + 0*k**2 - 5/36*k**4 + 0 + 22*k. Suppose n(j) = 0. Calculate j.
-1, 0
Let g(c) = 2*c**3 + c**2 + 2*c - 3. Let i be g(2). Let k = i - 19. Solve 0*z**3 + 0*z + 2/9*z**5 + 0 + 0*z**k + 4/9*z**4 = 0 for z.
-2, 0
Let j be (4/21)/(2/3). Let t = -4046 - -4048. Factor j + 1/7*n**t - 3/7*n.
(n - 2)*(n - 1)/7
Let 0*t**3 + 2/9*t**5 - 2/9*t + 0 + 4/9*t**4 - 4/9*t**2 = 0. What is t?
-1, 0, 1
Factor 50/9*m**2 - 8/3 + 142/9*m.
2*(m + 3)*(25*m - 4)/9
Let k be -12*(-4)/(-6) + 8. Let z(s) be the first derivative of -2 + 0*s - 4/9*s**3 + 4/3*s**5 + 1/3*s**4 + k*s**2 + 2/3*s**6. Determine i, given that z(i) = 0.
-1, 0, 1/3
Let k(y) = -10*y**2 - 42*y + 9. Let t(g) = -4*g**2 - 20*g + 4. Let h(j) = 4*k(j) - 9*t(j). Factor h(b).
-4*b*(b - 3)
Let p = -47 + 28. Let i = 21 + p. Factor 0*w**2 + 6 - 12*w**4 - 15*w + 6*w**i + 8*w**3 + 3*w**3 + 3*w**5 + w**3.
3*(w - 2)*(w - 1)**3*(w + 1)
Let r = -3201 + 3203. Suppose 2*w**r - 2/7*w**3 + 18/7 - 30/7*w = 0. Calculate w.
1, 3
Let n(q) be the first derivative of 0*q - 7 - 12/5*q**5 - 28/3*q**3 - 8*q**4 - 4*q**2. Determine o, given that n(o) = 0.
-1, -2/3, 0
Suppose 3*u - 4*l - 4 = -25, u - l = -6. Let j be (-6)/u*(-2 + 3). Factor -2*t**2 - 3 + 3*t + 1 + t**j.
-(t - 2)*(t - 1)
Let r(a) be the first derivative of -a**6/2 - 141*a**5/5 + 291*a**4/4 - 49*a**3 - 53. Solve r(x) = 0.
-49, 0, 1
Let p(r) be the second derivative of -r**7/294 - r**6/210 + r**5/70 + r**4/42 - r**3/42 - r**2/14 - 5*r + 43. Factor p(y).
-(y - 1)**2*(y + 1)**3/7
Let i(o) be the second derivative of -o**6/60 - 67*o**5/40 + 23*o**4/8 + 67*o**3/12 - 17*o**2 + 5*o + 4. Factor i(q).
-(q - 1)**2*(q + 1)*(q + 68)/2
Let w(l) be the first derivative of 2*l**3/21 - l**2 - 12. Factor w(x).
2*x*(x - 7)/7
Let g(h) = -4*h**3 - 5*h**2 + 38*h - 15. Let t be g(-4). Factor t*p**2 + 12 - 3/2*p**3 - 18*p.
-3*(p - 2)**3/2
Let f(m) be the second derivative of 2*m**7/105 + m**6/15 + m**5/15 - 9*m**2 + 6*m. Let p(o) be the first derivative of f(o). Factor p(n).
4*n**2*(n + 1)**2
Let s(w) = -8*w**2 - 32*w - 64. Let z(o) = -o**2. Let a = 56 + -57. Let n(i) = a*s(i) + 4*z(i). Factor n(g).
4*(g + 4)**2
Let p be 60/(-24)*(-20)/25. Solve 6/5*t + 0 - 4/5*t**p - 2/5*t**3 = 0 for t.
-3, 0, 1
Let b(f) be the first derivative of 0*f - 3/4*f**4 + f**3 - 11 + 0*f**2 + 1/2*f**6 - 3/5*f**5. Let b(x) = 0. What is x?
-1, 0, 1
Factor -69 + p**2 - 4*p**2 + 2*p**2 - 98*p + 78*p + 2*p**2.
(p - 23)*(p + 3)
Let n = -20/3 - -449/66. Let q(w) be the first derivative of -2/55*w**5 + n*w**4 + 1/11*w**2 - 2/11*w**3 - 2 + 0*w. Factor q(u).
-2*u*(u - 1)**3/11
Let b(g) be the first derivative of 8*g**5/5 + 9*g**4/2 - 4*g**3/3 - 9*g**2 - 4*g - 54. Find j, given that b(j) = 0.
-2, -1, -1/4, 1
What is j in 488*j**2 + 1782 + 6199*j**4 - 6200*j**4 + 79*j**2 + 57*j**3 + 1755*j = 0?
-3, 66
Suppose -2*m - 3*m + 10 = 0. Suppose -4*i + 8 = 3*o, i = 6*o - m*o + 2. Factor o*n + n - 10*n**2 + 9*n**2.
-n*(n - 1)
Let p = 14 - 14. Let x be p*(4 + -8)/4. Find o such that 6*o**2 + 2*o**2 - 8*o**4 + x*o**3 + 4*o**3 - 4*o**5 + 0*o**3 = 0.
-2, -1, 0, 1
Let j(b) be the second derivative of -3*b**5/4 - 65*b**4/12 + 295*b**3/3 - 180*b**2 - 177*b. Factor j(q).
-5*(q - 4)*(q + 9)*(3*q - 2)
Let t(r) be the second derivative of 3*r**3 - 3/20*r**5 - 5/4*r**4 + 0*r**2 + 35*r + 0. Find z such that t(z) = 0.
-6, 0, 1
Suppose -2*y + 4 = -4. Suppose 2*d = -3*a + 10 + 6, -5*a + 28 = y*d. Factor 2*z - 4*z**3 + d*z**5 - z**4 + 2*z**4 - 3*z**4 + 0*z**5 + 4*z**2 - 2.
2*(z - 1)**3*(z + 1)**2
Let g(q) be the first derivative of q**4/10 - 32*q**3/15 + 64*q**2/5 + 143. Factor g(r).
2*r*(r - 8)**2/5
Let f = -571 - -45681/80. Let l(r) be the third derivative of 5/96*r**4 + 0*r + 0 - f*r**5 - 1/12*r**3 - 4*r**2. Factor l(s).
-(s - 1)*(3*s - 2)/4
Let b(y) be the first derivative of -y**6/63 + 2*y**5/105 + y**4/21 + 607. Factor b(a).
-2*a**3*(a - 2)*(a + 1)/21
Factor -1792/5*f - 52/5*f**3 - 2/5*f**4 - 2048/5 - 96*f**2.
-2*(f + 2)*(f + 8)**3/5
Let u(x) be the third derivative of -1/600*x**6 + 0 + 0*x**4 + 0*x**3 + 12*x**2 + 1/300*x**5 + 0*x