 Factor 0 - 9/4*c**2 + 3/2*c**3 + o*c - 1/4*c**4.
-c**2*(c - 3)**2/4
Let z(y) = -y**2 - y + 125. Suppose -3*m = -5*m. Let g be z(m). Suppose 23*a + g*a**5 - 2 - 275*a**4 - 211/2*a**2 + 965/4*a**3 = 0. Calculate a.
2/5, 1/2
Let o(k) = k**3 + 6*k**2 + 5*k - 6. Let j(w) = -2*w**3 - 13*w**2 - 11*w + 13. Let r(g) = 6*j(g) + 13*o(g). Factor r(l).
l*(l - 1)*(l + 1)
Factor 68/11*w - 2/11*w**2 + 0.
-2*w*(w - 34)/11
Let m be 209/22 - 3/6. Let y be 2/m + (-15)/((-675)/140). Solve y*x**2 + 8*x + 8/3 = 0.
-2, -2/5
Let b(w) = -20*w**2 - 380*w - 3605. Let l(g) = 9*g**2 + 190*g + 1803. Let a(n) = 2*b(n) + 5*l(n). Factor a(c).
5*(c + 19)**2
Suppose t + t - 3*i = 9, -t - 2*i - 6 = 0. Suppose 0 = -2*d - 0*d - t*d. Find m such that -4/9*m**4 + 0*m**3 + d - 2/9*m + 2/9*m**5 + 4/9*m**2 = 0.
-1, 0, 1
Let q(s) be the third derivative of -s**5/600 - 3*s**4/10 + 73*s**3/60 + 85*s**2 + 1. Suppose q(l) = 0. What is l?
-73, 1
Let w(t) be the second derivative of 2/15*t**6 + 0 - 2/5*t**5 + 0*t**2 + 0*t**3 - 13*t + 0*t**4. Let w(y) = 0. What is y?
0, 2
Let p(b) be the first derivative of -b**8/336 + b**7/35 - 13*b**6/120 + b**5/5 - b**4/6 - 3*b**2 + 3. Let g(k) be the second derivative of p(k). Factor g(t).
-t*(t - 2)**2*(t - 1)**2
Let w(q) be the third derivative of -q**5/15 + 7*q**4/2 - 40*q**3/3 + 103*q**2. Determine u so that w(u) = 0.
1, 20
Let k be 1 + 2 + 0 + -3. Suppose k = -4*o - 3*o. Find f such that 39*f**3 - 12 - 25*f + o - 2*f**2 + 12*f**4 + 11*f**2 - 23*f = 0.
-2, -1/4, 1
Let w(j) be the second derivative of j**7/180 - j**6/60 + 11*j**4/6 + 25*j. Let u(c) be the third derivative of w(c). Factor u(z).
2*z*(7*z - 6)
Let t be 0/2*3*(-1)/3. Suppose t = -5*l + 4*g + 8, 4*l + l - 5*g = 10. Factor -3/4*h**3 + l*h**2 + 9/4*h + 3/2.
-3*(h - 2)*(h + 1)**2/4
Let p(n) = -2*n**2 + 32*n - 36. Let w(c) = 6*c**2 - 96*c + 106. Let h(r) = 8*p(r) + 3*w(r). Factor h(q).
2*(q - 15)*(q - 1)
Let a(p) be the third derivative of p**5/180 - 5*p**4/18 + 32*p**3/9 + 150*p**2. Suppose a(n) = 0. Calculate n.
4, 16
Suppose 5*j + 6*p + 2*p = 5*p, 5*p = 3*j. Solve 2/11*d + 6/11*d**4 - 4/11*d**5 + j + 2/11*d**3 - 6/11*d**2 = 0.
-1, 0, 1/2, 1
Suppose -7 + 5 = -b. Determine h, given that 3*h**4 - 10*h + h**4 - 5*h**b + 3*h**4 - 2*h**4 + 10*h**3 = 0.
-2, -1, 0, 1
Let v(c) be the first derivative of -c**4/28 + c**3/21 + c**2/7 - 80. Find y, given that v(y) = 0.
-1, 0, 2
Let k(f) = 8*f**4 + 80*f**3 + 60*f**2 - 24*f + 12. Let s(r) = -3*r**4 - 32*r**3 - 24*r**2 + 10*r - 5. Let t(m) = 5*k(m) + 12*s(m). Factor t(a).
4*a**2*(a + 1)*(a + 3)
Let f(g) = -20*g**2 + 192*g - 8. Let c(m) = -6*m**2 + m - 2. Let v(z) = 4*c(z) - f(z). Factor v(a).
-4*a*(a + 47)
Let f(v) be the third derivative of -v**6/720 - v**5/80 - 35*v**3/6 + 19*v**2. Let r(j) be the first derivative of f(j). Let r(k) = 0. What is k?
-3, 0
Find d such that 74/5*d - 18/5 - 4/5*d**4 + 46/5*d**3 - 98/5*d**2 = 0.
1/2, 1, 9
Factor -11560/3 - 2/15*q**2 - 136/3*q.
-2*(q + 170)**2/15
Solve -4*y**5 - 44*y**4 + 3*y**5 + 2*y**5 + 4*y**5 + 54*y**4 = 0.
-2, 0
Let z = -777 + 777. Let r(s) be the third derivative of -1/4*s**5 - s**2 - 1/40*s**6 + z - 3/8*s**4 + 0*s + 9/2*s**3. What is j in r(j) = 0?
-3, 1
Let v be 5 + (118/(-40) - 2). Let w(j) be the first derivative of 0*j + v*j**5 - 1/12*j**3 + 6 + 1/16*j**4 - 1/8*j**2. Factor w(g).
g*(g - 1)*(g + 1)**2/4
Let f(d) be the third derivative of d**5/60 + 31*d**4/6 + 1922*d**3/3 - 167*d**2. Factor f(m).
(m + 62)**2
Suppose 8*p = 14 + 10. Find q such that -5*q**2 - 3*q**2 + 5 + 6*q**3 + p*q**2 - 5*q - q**3 = 0.
-1, 1
Let y(q) be the second derivative of -q**5/4 + 10*q**3 - 40*q**2 - 9*q. Factor y(r).
-5*(r - 2)**2*(r + 4)
What is x in -8/7*x**3 - 2/7*x**2 + 10/7*x + 0 = 0?
-5/4, 0, 1
Suppose 282 = 5*a + 3*j, 0*j - 229 = -4*a + j. Factor -a*m**3 - 6*m + 0 + 55*m**3 + 10*m**2 - 18.
-2*(m - 3)**2*(m + 1)
Let h(w) = 4*w**3 + 26*w**2 + 20*w - 206. Let y(v) = v**2 + 4*v - 3. Let l(k) = k - 1. Let o(d) = 4*l(d) - y(d). Let a(u) = -h(u) + 6*o(u). Factor a(x).
-4*(x - 2)*(x + 5)**2
Let x(d) = -5*d - 17. Let q be x(-5). Determine b, given that 31*b - 15*b**2 + 5*b**3 - 5 - 8*b - q*b = 0.
1
Solve -2 - 2*p**2 - 1 - 5*p + 1 - 6 - 5*p = 0.
-4, -1
Let d(h) = h**5 + h**2 - 1. Let z(w) = -12*w**5 + 4*w**4 - 5*w**3 - 9*w**2 + 11. Let t(b) = -22*d(b) - 2*z(b). Determine y, given that t(y) = 0.
0, 1, 2
Suppose -2*h + 12 = -q + 4*q, 2*h - 2*q - 2 = 0. Let o(y) be the third derivative of 0*y - 1/45*y**5 + 0*y**h + 0 + 1/9*y**4 - 3*y**2. Factor o(z).
-4*z*(z - 2)/3
Let i be (-4)/18*1620/(-210). Factor -i*x**3 - 3/7*x**4 - 3/7 - 18/7*x**2 - 12/7*x.
-3*(x + 1)**4/7
Let d(a) be the third derivative of a**8/560 - a**7/630 - a**6/60 + a**5/30 + a**4/8 + 6*a**2. Let m(o) be the second derivative of d(o). Factor m(j).
4*(j - 1)*(j + 1)*(3*j - 1)
Let z = 1225 + -1225. Find f, given that 1/4*f - 1/4*f**3 + z*f**2 + 0 = 0.
-1, 0, 1
Let n(f) be the second derivative of 1/132*f**4 - 14*f + 0 + 1/22*f**2 - 1/33*f**3. Suppose n(c) = 0. What is c?
1
Let f(d) be the third derivative of d**7/42 + 83*d**6/8 + 1302*d**5 + 9610*d**4/3 + 2*d**2 - 41. Factor f(r).
5*r*(r + 1)*(r + 124)**2
Let t(l) be the second derivative of 2*l**7/7 - 16*l**6/15 + l**5/5 + 8*l**4/3 - 8*l**3/3 + 55*l - 2. What is j in t(j) = 0?
-1, 0, 2/3, 1, 2
Let r be 1058/(-390) + 3 - 10/65. Let y(d) be the first derivative of -3 - 2/5*d**2 + 0*d + 1/10*d**4 + r*d**3. Solve y(g) = 0.
-2, 0, 1
Suppose 0 + 25/2*y + 5/4*y**3 - 127/4*y**2 = 0. What is y?
0, 2/5, 25
Let x = 2447 - 83217/34. Let h = -1/17 - x. Factor v**3 - h*v**4 - v + 0*v**2 + 1/2.
-(v - 1)**3*(v + 1)/2
Suppose -3*v = -5*m, -2*m - 3*m + v + 10 = 0. Let h(n) be the third derivative of -1/90*n**6 + 0*n + 1/9*n**m + 1/18*n**5 + 0 - 4*n**2 - 1/9*n**4. Factor h(x).
-2*(x - 1)**2*(2*x - 1)/3
Let d(n) be the third derivative of n**2 + 0*n - 1/60*n**6 + 1/6*n**5 - 3*n**3 + 0 - 1/4*n**4. Factor d(v).
-2*(v - 3)**2*(v + 1)
What is d in 2*d**3 - 31 + 2368*d**2 - 18*d - 2362*d**2 - 23 = 0?
-3, 3
Suppose -4*z = 12, -3*t + 0*z - 5*z = 489. Let s = -156 - t. Factor 0*j**3 + 0*j + 0*j**s - 1/2*j**5 + 1/2*j**4 + 0.
-j**4*(j - 1)/2
Suppose 47*w - 29*w = 0. Let r(m) be the second derivative of 0*m**4 + w + 0*m**2 - m + 1/36*m**3 - 1/120*m**5. Determine d so that r(d) = 0.
-1, 0, 1
Let l(f) be the first derivative of -f**5/10 + f**4/8 + 5*f**3/6 + 3*f**2/4 - 97. Determine o, given that l(o) = 0.
-1, 0, 3
Let t = 27/280 - -1/35. Let h(k) be the third derivative of 0*k + 0 + t*k**4 - 1/40*k**5 + k**2 - 1/4*k**3. Determine p so that h(p) = 0.
1
Let x(z) = 0*z + z + 7*z**2 + 0*z**2. Let p(k) = -13*k**2 - 2*k. Let g(q) = -q + 6. Let f be g(12). Let c(u) = f*p(u) - 11*x(u). Factor c(o).
o*(o + 1)
Suppose 21*w - 17*w = 176. Factor -h + 30*h**3 + 91*h**3 + 4*h + h - w*h**2.
h*(11*h - 2)**2
Let y(v) = v**3 - 28*v**2 + 27*v + 2. Let o be y(27). Let u(j) be the first derivative of 3 + o*j + 1/4*j**4 + 0*j**3 - 3/2*j**2. What is z in u(z) = 0?
-2, 1
Factor 1/6*v**4 + 13/6*v**3 + 18*v + 29/3*v**2 + 12.
(v + 2)**2*(v + 3)*(v + 6)/6
Let o be 7/(5/530*2). Let z = 2605/7 - o. Find q such that 2*q**2 + 2/7*q**5 - 6/7*q**4 - z + 0*q - 2/7*q**3 = 0.
-1, 1, 2
Let k(r) be the second derivative of r**7/42 + r**6/15 - 4*r**5/5 - 7*r**4/6 + 21*r**3/2 - 18*r**2 + 111*r. Determine x, given that k(x) = 0.
-4, -3, 1, 3
Let k(q) = 3*q**3 - 2*q**2 + 2*q - 1. Let d be k(1). Factor -3*s + d*s**3 + 3*s + 291 - 2*s - 297 + 6*s**2.
2*(s - 1)*(s + 1)*(s + 3)
Let b(d) be the first derivative of 27*d**5/130 + 9*d**4/26 + 3*d**3/13 + d**2/13 - 10*d + 3. Let a(u) be the first derivative of b(u). Factor a(q).
2*(3*q + 1)**3/13
Suppose 35*t = -0*t + 70. Let i(j) be the first derivative of -4 + j - 1/6*j**3 + 1/4*j**t. Determine n so that i(n) = 0.
-1, 2
Solve -2 + 4 - 122*f**2 - 14*f + f + 107*f**2 = 0 for f.
-1, 2/15
Let z be 3 - ((0 - 0) + 1). Let b = -893/10 - -449/5. Find x, given that 7/4*x**z - b*x + 0 = 0.
0, 2/7
Let z(a) be the first derivative of -3*a**4/8 + a**3 + 3*a**2/4 - 3*a - 127. Determine l, given that z(l) = 0.
-1, 1, 2
Let m = 34 + -168/5. Let x = -7/69 - -311/345. Factor 2/5*t - m*t**2 + x.
-2*(t - 2)*(t + 1)/5
Let t(k) = 12290*k**3 + 25346*k**2 + 17424*k + 3993. Let x(n) = 49161*n**3 + 101385*n**2 + 69696*n + 15972. Let d(q) = 9*t(q) - 2*x(q). Factor d(g).
3*