2*t**2 + 48*t + 23. Solve j(o) = 0.
-12, 1
Let l be (0*(-6)/42)/3. Let p(c) be the first derivative of l*c**3 + 1/8*c**4 - 1 + 0*c**2 + 0*c. Let p(v) = 0. Calculate v.
0
Let p be 180/36 + (-7)/(-80) - 5. Let y(v) be the third derivative of -1/24*v**6 + 0 - 1/6*v**3 - p*v**5 - v**2 + 0*v + 5/24*v**4 + 5/168*v**7. Factor y(w).
(w - 1)*(w + 1)*(5*w - 2)**2/4
Factor 24*l**4 + 8*l + 84*l**2 - 43*l - 11*l + 97*l + 3*l**5 + 12 + 66*l**3.
3*(l + 1)**4*(l + 4)
Let k(w) be the first derivative of -3/16*w**4 + 0*w**2 - 45 + 0*w + 3/4*w**3. Factor k(i).
-3*i**2*(i - 3)/4
Let m(k) = -95*k - 6932. Let a be m(-73). Factor -28/3*z**2 + 0 + 4/3*z**a + 8*z.
4*z*(z - 6)*(z - 1)/3
Let o(t) be the second derivative of t**6/10 - 9*t**5/20 + t**4/2 - 15*t. Factor o(r).
3*r**2*(r - 2)*(r - 1)
Let l(o) = -o**3 - 5*o**2 + 12*o - 11. Let t be l(-7). Let u be -3*8/(-36)*t. Factor 6*c**u + 0 + 11/2*c**3 - 2*c - 25/2*c**5 - 15*c**4.
-c*(c + 1)**2*(5*c - 2)**2/2
Let i be -6 - (-6 - -5) - -5. Let y(g) be the third derivative of i*g - 9*g**2 - 1/216*g**4 + 1/540*g**5 + 0 + 0*g**3. Factor y(v).
v*(v - 1)/9
Let 82*g**3 - 45 + 3*g**4 + 80*g**3 - 96*g - 162*g**3 + 13*g**2 - 67*g**2 = 0. What is g?
-3, -1, 5
Let w(x) be the second derivative of 1/4*x**2 + 0 + 1/8*x**3 + x + 1/48*x**4. Factor w(q).
(q + 1)*(q + 2)/4
Let n(u) = -3*u - 3. Let x be n(-6). Let h = x + -13. Factor 2*j**2 + 2*j**4 - 4*j**3 + 2*j**3 - h*j**3.
2*j**2*(j - 1)**2
Suppose 0 = 6*c + 542 + 250. Let m = 132 + c. Solve -2/13*l**2 + m + 4/13*l = 0.
0, 2
Let a(w) be the third derivative of -2*w**5/5 + 23*w**4/24 - 3*w**3/2 + 25*w**2. Let j(r) = -12*r**2 + 12*r - 4. Let f(t) = 2*a(t) - 5*j(t). Factor f(l).
2*(l - 1)*(6*l - 1)
Let 2/9 + 0*r**3 + 2/9*r**4 - 4/9*r**2 + 0*r = 0. Calculate r.
-1, 1
Let s be ((-12)/15)/((-4)/10). Let k be ((-2)/(-12))/((-168)/(-144)) + 2/7. Factor k*z**s - 9/7 - 6/7*z.
3*(z - 3)*(z + 1)/7
Suppose -5*j + j = -8. Suppose -78 + 12*y**3 + 88 + 8*y**3 - 15*y - 5*y**5 - 10*y**j = 0. What is y?
-2, -1, 1
Let w = -450/7 - -6764/105. Let i(q) be the second derivative of 2/21*q**7 - w*q**6 + 2/3*q**4 - 2*q**2 + 0 - 8*q + 2/3*q**3 - 2/5*q**5. Factor i(j).
4*(j - 1)**3*(j + 1)**2
Let y(r) be the first derivative of -r**5/5 - 61*r**4/36 - 40*r**3/27 + 2*r**2/3 - 12. Factor y(o).
-o*(o + 1)*(o + 6)*(9*o - 2)/9
Factor 1225/3 + 1/3*w**2 + 70/3*w.
(w + 35)**2/3
Let v(p) be the second derivative of p**6/36 - p**5/60 + p**3/3 + 6*p. Let o(t) be the second derivative of v(t). Let o(s) = 0. Calculate s.
0, 1/5
Let b(p) be the first derivative of 3/4*p**4 + 5*p**3 + 0*p - 9*p**2 - 46. Factor b(m).
3*m*(m - 1)*(m + 6)
Factor -32/13 - 38/13*m**2 + 308/13*m.
-2*(m - 8)*(19*m - 2)/13
Let t = 38085/11102 - 3/1586. Solve t*y**2 + 26/7*y**4 - 116/21*y**3 - 6/7*y**5 - 16/21*y + 0 = 0.
0, 2/3, 1, 2
Suppose -1144*v - 112 - 26476/7*v**2 - 98*v**5 + 1288*v**4 - 3650*v**3 = 0. What is v?
-2/7, 7
Let o be (-9 - 0) + 5 - -5. Suppose 4*a = 5*n - 5, a + 4*n - 3 = o. Solve 0 - 11/4*q**4 + a*q - q**2 - 35/4*q**5 + 5*q**3 = 0 for q.
-1, 0, 2/7, 2/5
Let i be ((-3)/252)/((-9)/27). Let r = i + 45/308. Find a such that -r*a**3 - 24/11*a + 12/11*a**2 + 16/11 = 0.
2
Suppose 3*y + y = 288. Suppose 28*k**2 + 5*k**5 - 20*k**4 - y*k**3 - 40 + 22*k**2 - 20*k + 77*k**3 = 0. What is k?
-1, 2
Suppose -91 - 41 = -6*r. Suppose -15 = 19*m - r*m. Factor -2/5*x**4 + 0*x - 1/5*x**3 + 0*x**2 + 0 - 1/5*x**m.
-x**3*(x + 1)**2/5
Suppose 4*w + 4*s = -0*w + 4, -4*s = -4. Let z(r) be the third derivative of 0 + 0*r - 3*r**2 - 1/144*r**4 + 1/720*r**6 + 0*r**5 + w*r**3. Factor z(n).
n*(n - 1)*(n + 1)/6
Suppose -4*k = v - 8, -k + 2*k - 3*v - 2 = 0. Find i, given that -15*i + 4*i**2 + 0*i**2 + i**k = 0.
0, 3
Let g(i) be the first derivative of -5*i**6/36 - i**5/3 + 5*i**4/6 + 20*i**3/9 - 98. Let g(s) = 0. Calculate s.
-2, 0, 2
Suppose -2*x + 16 = 3*x - i, -2*x - 4*i + 24 = 0. Suppose -11 + x*a**2 + 7 + 6*a - 6*a = 0. What is a?
-1, 1
Let v(u) be the first derivative of u**4/48 - u**3/12 + u**2/8 + 16*u + 4. Let z(w) be the first derivative of v(w). Factor z(y).
(y - 1)**2/4
Suppose 0 = 7*i - 153 - 15. Factor 64*y**3 - i*y**2 - 4 - 4*y**4 + 16*y + 63*y**3 - 111*y**3.
-4*(y - 1)**4
Let r(t) = -t**3 + 11*t**2 + 29*t - 44. Let h be r(13). Let n = h - -7. Find a, given that -4/5*a**3 - 12/5*a - 4/5 - 12/5*a**n = 0.
-1
Let c(x) = -x**2 - x - 1. Let p(b) = 4*b**2 + 8*b + 9. Let i(v) = v + 9. Let f be i(-4). Let w(r) = f*c(r) + p(r). Factor w(q).
-(q - 4)*(q + 1)
Let b(m) be the first derivative of 49*m**5 + 70*m**4 - 130*m**3/3 - 60*m**2 + 45*m - 35. Let b(v) = 0. What is v?
-1, 3/7
Let b(l) = -l + 13. Suppose -d - 8 = -r, -5*r + 4*d - 26 + 63 = 0. Let n be b(r). Let 1 + 82*s**4 - 4*s**3 - 6*s**2 + n*s - 80*s**4 + 7 = 0. What is s?
-1, 2
Let w(c) be the third derivative of 1/8*c**6 + 0*c**4 + 0*c**3 + 0 - 3*c**2 + 1/6*c**5 - 5/42*c**7 + 0*c. Factor w(t).
-5*t**2*(t - 1)*(5*t + 2)
Suppose 0 = -3*g + 4*i + 25, 0*i + 2*i + 14 = 2*g. Suppose -2*q = -g*q + 2. Factor 1 - 4*p**q - 2*p**2 + 5*p**2.
-(p - 1)*(p + 1)
Let 3 - 18 + 5*n + 2*n**4 + 23 + 26*n**2 - 12*n**3 - 29*n = 0. Calculate n.
1, 2
Suppose 0 = -9*h + 3190 - 3163. Solve 0*i - 54/5 + 16/5*i**h + 36/5*i**2 + 2/5*i**4 = 0.
-3, 1
Suppose -b - 42 + 46 = b. Factor -18/5 + 3/5*f**b - 3/5*f.
3*(f - 3)*(f + 2)/5
Suppose 3*m + 0*y - 141 = -3*y, -5*m = 4*y - 238. Suppose 6*x - 106 = m. Factor -9*j**3 + 6*j + x*j**4 - 27*j**3 + 9*j**2 - 5*j**4.
3*j*(j - 1)**2*(7*j + 2)
Factor -26*i**3 - 4*i**2 - 7*i - 158 + 174 + 105*i + 6*i.
-2*(i - 2)*(i + 2)*(13*i + 2)
Let h(y) = -y**3 - y - 2. Let q(i) = i**2 - i - 9*i**3 + 6 - 20 - 3 - 8*i. Let b(l) = -51*h(l) + 6*q(l). Suppose b(w) = 0. Calculate w.
0, 1
Let b(q) be the third derivative of q**8/36 + 5*q**7/63 - 53*q**6/90 + 73*q**5/90 + q**4/18 - 8*q**3/9 - 2*q**2 - 500. Suppose b(z) = 0. What is z?
-4, -2/7, 1/2, 1
Factor -192*i - 3*i**3 + 67*i**2 + 288 + 0*i**3 - 25*i**2.
-3*(i - 6)*(i - 4)**2
Suppose 51 = -5*z - s, -z - 3*s = -4*z - 27. Let b = -8 - z. Determine o, given that 10 - 6*o + 2 - 2*o**2 - 3*o - o**b = 0.
-4, 1
Let g = -1282 + 1290. Let b(p) be the second derivative of 0 + 7/3*p**4 + 8*p**3 + 3*p - g*p**2. Find z such that b(z) = 0.
-2, 2/7
Let z(a) be the second derivative of 2*a**7/3 + 2*a**6/5 - 318*a**5/35 + 172*a**4/21 - 16*a**3/7 + 4*a - 7. Solve z(w) = 0.
-3, 0, 2/7, 2
Let m(c) be the second derivative of 13/2*c**5 + 0*c**2 - 7/6*c**6 + 0 + 28*c - 5*c**3 - 65/12*c**4. Determine l so that m(l) = 0.
-2/7, 0, 1, 3
Let h(o) = 29*o**3 + 11*o**2 - 80*o - 35. Let j(b) = -26*b**3 - 10*b**2 + 80*b + 34. Let z(v) = 2*h(v) + 3*j(v). Let z(g) = 0. Calculate g.
-2, -2/5, 2
Let y(x) be the third derivative of x**5/150 + 13*x**4/15 + 676*x**3/15 + 102*x**2. Factor y(q).
2*(q + 26)**2/5
Factor -4116 + 3*p**2 - 168864 - 8*p**2 + 567*p + 1293*p.
-5*(p - 186)**2
Let k(f) be the first derivative of 10/3*f**3 + 0*f + 9 - 3/2*f**4 - 2*f**2. Factor k(b).
-2*b*(b - 1)*(3*b - 2)
Let x(d) be the first derivative of -d**8/2100 + d**7/350 - d**3 + 24. Let p(o) be the third derivative of x(o). Suppose p(n) = 0. What is n?
0, 3
Find x, given that 3/2*x**2 + 9 - 15/2*x = 0.
2, 3
Determine o, given that 0*o**2 - 16/7*o**3 + 0 + 2/7*o**5 + 4/7*o**4 + 0*o = 0.
-4, 0, 2
Suppose 20 - 33*l**2 - 3 + 5 + 3*l**4 + 9*l + 13 - 5 - 9*l**3 = 0. What is l?
-2, -1, 1, 5
Let o(w) be the third derivative of 21*w**2 + 0*w + 0 - 135/2*w**3 + 15/4*w**4 - 1/12*w**5. Solve o(b) = 0 for b.
9
Let x = 23 + -17. Factor d**5 - 3*d**5 - 4*d - x*d**2 + 8*d**4 + 6*d**5 - 2*d**2.
4*d*(d - 1)*(d + 1)**3
Let b be 1 + 202/(-1140)*2. Let r = b + 2/95. Factor 2*h**3 + 0 - 4/3*h**2 + 0*h - r*h**4.
-2*h**2*(h - 2)*(h - 1)/3
Let z(i) be the second derivative of 0*i**2 + 0*i**4 - 2*i + 0 + 1/231*i**7 - 1/55*i**6 + 1/55*i**5 + 0*i**3. Factor z(g).
2*g**3*(g - 2)*(g - 1)/11
Suppose 0 = -3*r + 12, 0*x = -3*x - 5*r + 53. Let y be x + (0 + 3 - 2). Solve 1 - 3*v**2 - y*v - 1 - 9 = 0.
-3, -1
Let p = 8 + -5. Suppose p + 9 = 4*d. Find x, given that d*x**2 - x - x + 2*x = 0.
0
Let x(d) = 2*d**2 + d - 4. Let g be x(2). Let q be (-2)/(1/26*-2). Solve -24*f**3 - q*f**2 - 32*f + g*f**4 + 74*f**2 - 2*f**4 = 0.
0, 2
Let l(n) be the third derivative of 0*n**4 + 1/600*n**5 - 3*n**2 - 1/1800*n**6 + 0 + 3/2*n**3 + 0*n. Let r(u) be the first derivativ