m**3/39 + 121*m**2/13 - 8*m - 16. Solve r(f) = 0.
11
Let q = 57193/5 + -11438. Factor -3/5*a + q*a**2 + 0.
3*a*(a - 1)/5
Let x(s) = 29*s**3 - 189*s**2 + 3189*s + 3353. Let q(y) = 13*y**3 - 93*y**2 + 1595*y + 1677. Let a(i) = 9*q(i) - 4*x(i). Factor a(z).
(z - 41)**2*(z + 1)
Let g = -12 - -12. Suppose -4*z + 0 + 12 = g. What is p in 5*p**2 + z*p**2 + 3*p - 2*p**2 + 6 - 9*p**2 = 0?
-1, 2
Factor -45*x**5 - 144*x + 180*x**2 - 20*x**3 - 36*x**2 - 16*x**4 + 49*x**5.
4*x*(x - 3)*(x - 2)**2*(x + 3)
Let m(a) = a**3 - a**2 - a + 2. Let f(b) = 6*b**3 - 12*b**2 - 6*b + 20. Let r(g) = f(g) - 8*m(g). Factor r(p).
-2*(p - 1)*(p + 1)*(p + 2)
Let j = -206 + 208. Let t(u) be the first derivative of -4*u**3 + 36/5*u**5 + 0*u + 9/2*u**6 + 3/2*u**j - 3/2*u**4 - 1. Find s such that t(s) = 0.
-1, 0, 1/3
Let q be 208/130 + 4/10. Let g be q/11 - (-58)/44. Solve -9/2*n**4 + 6*n**2 - g - 3*n**3 + 0*n + 3*n**5 = 0.
-1, -1/2, 1
Let z(r) be the first derivative of -3*r**6 - 224*r**5/25 - 23*r**4/10 + 16*r**3/3 - 4*r**2/5 + 200. Suppose z(t) = 0. What is t?
-2, -1, 0, 1/9, 2/5
Let q(n) be the third derivative of -n**6/120 + 19*n**5/30 - 41*n**2 - 2. Factor q(o).
-o**2*(o - 38)
Let l(x) be the third derivative of x**5/450 - x**3/45 + 19*x**2 + 4. Let l(r) = 0. What is r?
-1, 1
Suppose 3*s - 2*s - 3 = 0. Factor -256*w**4 + s*w**2 - 3*w**5 + 253*w**4 - w**3 + 4*w**3.
-3*w**2*(w - 1)*(w + 1)**2
Let -138 - 4*x**5 - 134 - 44*x**2 + 16*x - 130 - 4*x**4 + 402 + 36*x**3 = 0. What is x?
-4, 0, 1
Let q(u) be the second derivative of u**4/21 - 8*u**3/3 - 58*u**2/7 - 3*u + 12. What is y in q(y) = 0?
-1, 29
Let b = 68536/5 + -13706. Factor 3/5*m**3 - b*m**2 + 0 + 3/5*m.
3*m*(m - 1)**2/5
Let j(k) be the third derivative of k**8/756 - k**7/378 - 13*k**6/180 + 19*k**5/60 - 3*k**2 - 94. Solve j(z) = 0.
-19/4, 0, 3
Let y(n) be the first derivative of n**4/8 + 7*n**3/6 + 11*n**2/4 + 5*n/2 + 91. Determine t so that y(t) = 0.
-5, -1
Let a be (-58)/(-14) + 6/(-42). Let p(h) = h**2 - 7*h + 2. Let l be p(7). Factor -i**5 - i + l*i**3 - i**a + i**4.
-i*(i - 1)**2*(i + 1)**2
Suppose 0 = 8*u - 10*u - 19*u. Let b(x) be the third derivative of 0*x + u + 1/90*x**5 - 1/180*x**6 + 1/36*x**4 - 1/315*x**7 - 2*x**2 + 0*x**3. Factor b(s).
-2*s*(s - 1)*(s + 1)**2/3
Let c(w) be the first derivative of -5*w**4/13 - 62*w**3/39 - 23*w**2/13 - 4*w/13 + 152. Determine q so that c(q) = 0.
-2, -1, -1/10
Let y(p) be the first derivative of p**4/8 + 2*p**3/3 - p**2/4 - 2*p - 168. Factor y(j).
(j - 1)*(j + 1)*(j + 4)/2
Determine l, given that -15/2*l**2 - 6*l**4 + 3/4*l**5 + 0*l + 0 + 51/4*l**3 = 0.
0, 1, 2, 5
Let l(f) be the first derivative of f**6/240 - f**5/160 - f**4/96 + f**3/48 + 21*f - 26. Let o(b) be the first derivative of l(b). Find y, given that o(y) = 0.
-1, 0, 1
Let h(u) be the third derivative of -u**7/560 + u**6/960 + u**5/160 - u**4/192 - 2*u**2 - 98*u. Factor h(i).
-i*(i - 1)*(i + 1)*(3*i - 1)/8
Let f(l) be the first derivative of l**8/336 + l**7/210 + 2*l**2 - 3. Let b(p) be the second derivative of f(p). Factor b(n).
n**4*(n + 1)
Let m be (-10)/12 - 300/(-360). Let d(y) be the first derivative of 4 + m*y + 0*y**2 - 2/21*y**3. Determine h so that d(h) = 0.
0
Let j(k) be the second derivative of -1/30*k**6 + k**3 + 0 - 3/10*k**5 - 21*k - 2/3*k**4 + 9/2*k**2. Factor j(a).
-(a - 1)*(a + 1)*(a + 3)**2
Let n be (-2)/11 + 0 + (-2115)/(-8910). Let j(y) be the second derivative of -1/45*y**6 + 0*y**2 + 0 + 1/9*y**3 - 1/30*y**5 + n*y**4 - 6*y. Factor j(r).
-2*r*(r - 1)*(r + 1)**2/3
Let h(j) be the second derivative of -1/90*j**6 + 0 + 1/12*j**5 + 20*j + 7/18*j**3 - 1/3*j**2 - 1/4*j**4. Find v such that h(v) = 0.
1, 2
Let o = 102 - 100. Suppose 4 = o*i, -3*n - 2*i + 12 = i. Determine z so that -2/9*z**3 - 4/9*z**n - 2/9*z + 0 = 0.
-1, 0
Let i = 57 + -48. Let d be (-3)/9 + 21/i. Factor -16/5*t + 8/5 - 2/5*t**3 + d*t**2.
-2*(t - 2)**2*(t - 1)/5
Let w(o) be the second derivative of o**7/84 - 3*o**6/20 + 3*o**5/40 + 73*o**4/24 + 8*o**3 + 9*o**2 - 4*o - 5. Factor w(s).
(s - 6)**2*(s + 1)**3/2
Let b(g) be the second derivative of g**6/25 - g**5/25 + 55*g. Let b(v) = 0. What is v?
0, 2/3
Factor 11*y**2 - 3*y**2 - 9*y - 11*y**2.
-3*y*(y + 3)
Let d(i) be the first derivative of 3/7*i**2 + 6 - 1/42*i**4 + 5*i + 2/21*i**3. Let o(r) be the first derivative of d(r). What is s in o(s) = 0?
-1, 3
Let u be ((-36)/1620)/((-2)/3). Let o(t) be the third derivative of -1/6*t**4 + 0 - 1/15*t**5 + 0*t + 2/3*t**3 + u*t**6 + 9*t**2. Factor o(x).
4*(x - 1)**2*(x + 1)
Let r = -181/69 - -635/207. Factor -2/9*z**4 + 2/9 - r*z**3 + 0*z**2 + 4/9*z.
-2*(z - 1)*(z + 1)**3/9
Let w(z) be the first derivative of z**6/900 + z**5/75 - z**4/12 - z**3 + 6*z + 28. Let h(n) be the third derivative of w(n). Factor h(v).
2*(v - 1)*(v + 5)/5
Let b(i) be the first derivative of -21 - 5/6*i**3 + 0*i - 5/4*i**2. Factor b(s).
-5*s*(s + 1)/2
Let a(o) be the first derivative of 1/26*o**4 + 17 - 4/13*o + 4/39*o**3 - 1/13*o**2. Factor a(t).
2*(t - 1)*(t + 1)*(t + 2)/13
Let w(i) be the third derivative of -4/25*i**5 - 21*i**2 - 14/15*i**4 - 32/15*i**3 + 0*i + 1/150*i**6 + 0 + 2/525*i**7. What is c in w(c) = 0?
-2, -1, 4
Let d(h) be the third derivative of h**7/1260 - h**6/120 - h**5/15 + 13*h**4/24 + 33*h**2. Let a(n) be the second derivative of d(n). Let a(g) = 0. What is g?
-1, 4
Let m(g) be the second derivative of g**9/3780 + g**8/560 + 2*g**4 - 19*g. Let t(s) be the third derivative of m(s). Solve t(v) = 0 for v.
-3, 0
Let m be ((-3)/(81/(-18)))/3. Factor -8/9 - 4/9*l**3 + 2/3*l**2 + 8/9*l - m*l**4.
-2*(l - 1)**2*(l + 2)**2/9
Let b be -23 - (45/20 + (-3)/(-4)). Let p be b/(-24) + (-16)/48. Factor p*m**2 - 2*m + 1.
(m - 2)*(3*m - 2)/4
Let f(t) = -t**2 - 4*t + 2. Let z(q) = 5*q**3 - 131*q**2 + 991*q - 853. Let v(j) = -4*f(j) - z(j). Factor v(i).
-5*(i - 13)**2*(i - 1)
Let z = -6 + -6. Let c be (-24)/40*40/z. Let 4/3*a**c - 2/3*a - 4/3 + 2/3*a**3 = 0. What is a?
-2, -1, 1
Suppose 3*i - 3*a - 26 = 2*a, 2*i - 24 = 5*a. Let q be (((-25)/i)/5)/(8/(-16)). Let -1/2*y**4 + 0*y**2 + 1/2*y**q - y**3 + 0*y + 0 = 0. Calculate y.
-1, 0, 2
Let 0 + 54/11*h**5 + 36/11*h + 670/11*h**3 - 354/11*h**4 - 294/11*h**2 = 0. What is h?
0, 2/9, 1/3, 3
Let c(v) be the first derivative of v**5/40 - v**4/24 + 6*v + 5. Let i(h) be the first derivative of c(h). Factor i(d).
d**2*(d - 1)/2
Suppose -2*s + 4 = 5*m, 0 = -3*s + 2*m + m + 6. Factor -166 + 166 - 20*l**s - 3*l**3 - l**3.
-4*l**2*(l + 5)
Solve 854*z**4 + 3*z**2 + 2*z**2 + 60*z**3 - 859*z**4 - 60*z = 0 for z.
-1, 0, 1, 12
Suppose -a + 12 = a. Let b be 2 + 7/(7/a). Factor d**3 - 2*d - b + d + 8.
d*(d - 1)*(d + 1)
Suppose -5 = -v + 1. Let s be (-9)/6*(-8)/v. Suppose 2*h**2 - 18*h**s + 13*h + 3*h - 4 = 0. What is h?
1/2
Factor 11*r + 5*r**2 - 9*r + 4*r**3 - 42*r**4 + 23*r**4 + 20*r**4.
r*(r + 1)**2*(r + 2)
Factor -12*r**2 + 16*r**4 + 3*r**5 + r**5 + 0*r**4 - 12*r**2 + 4*r**3.
4*r**2*(r - 1)*(r + 2)*(r + 3)
Let j(z) be the second derivative of z**4/32 + 17*z**3/16 + 3*z**2 + 224*z. Factor j(x).
3*(x + 1)*(x + 16)/8
Let y(t) = -16*t**3 + 8*t + 12. Let a(z) = -z**4 - 47*z**3 - z**2 + 25*z + 35. Suppose 4*u = u, 3*u - 55 = -5*x. Let d(m) = x*y(m) - 4*a(m). Factor d(c).
4*(c - 1)*(c + 1)**2*(c + 2)
Factor -147/8 - 219/4*m + 9/8*m**2.
3*(m - 49)*(3*m + 1)/8
Suppose x - 2*x = 0. Suppose 0 = 3*b - 4*b + 7. Factor -2*c**2 + 7*c**2 + 2 - b*c + x*c.
(c - 1)*(5*c - 2)
Let h(b) be the second derivative of b**6/60 + b**5/5 + 5*b**4/8 - b**3/3 - 5*b**2 + 92*b. Find x, given that h(x) = 0.
-5, -2, 1
Let x = 171 - 171. Let y(f) be the third derivative of x*f + 0 + 1/360*f**5 + 10*f**2 + 0*f**3 - 1/420*f**7 - 1/72*f**4 + 1/180*f**6. Factor y(d).
-d*(d - 1)**2*(3*d + 2)/6
Factor -270 + 372*z - 1762*z**2 + 1766*z**2 - 106.
4*(z - 1)*(z + 94)
Find c such that 27/2*c + 33 - 3/2*c**2 = 0.
-2, 11
Let m(r) be the third derivative of r**6/200 - r**5/100 - r**4/10 + 2*r**3/5 + 103*r**2. Factor m(p).
3*(p - 2)*(p - 1)*(p + 2)/5
Solve 29*f + 4*f**3 - 46 + 42*f + 9*f - 36*f**2 - 2 = 0 for f.
1, 2, 6
Let k be (-44)/(-77)*(-21)/(-27). Let i = 192 - 1726/9. Determine y, given that k*y + 0 + i*y**2 = 0.
-2, 0
Let i(p) = p**5 - p**2. Suppose -8 + 5 = -3*a. Let d(u) = -3*u**5 - u**4 - u**3 + 5*u**2. Let b(x) = a*d(x) + 4*i(x). Factor b(r).
r**2*(r - 1)**2*(r + 1)
Facto