 of -1/2*p**u - 1/8*p**4 - 1/2*p**2 + 6 + 0*p. Solve t(c) = 0.
-2, -1, 0
Let b = 437/39 - 111/13. Let b + 28/3*w**2 + 20*w = 0. What is w?
-2, -1/7
Let j be 6*(6/3)/6. Factor -2*q**4 - j*q**4 - 8*q + 4*q + 4*q**5 + 8*q**2 - 4*q**4.
4*q*(q - 1)**3*(q + 1)
Let g(m) = 4*m**3 - 6*m**2 + 3*m - 4. Let t(b) = -b**3 + b**2 + 1. Let x(o) = -g(o) - 3*t(o). Let p(d) be the first derivative of x(d). What is s in p(s) = 0?
1
Let o(j) be the third derivative of -j**8/1008 - 4*j**7/315 - j**6/20 - 4*j**5/45 - 5*j**4/72 - 31*j**2 + 2. Factor o(b).
-b*(b + 1)**3*(b + 5)/3
Determine c, given that -22/7*c**2 + 0 + 1/7*c**4 - 9/7*c**3 + 0*c = 0.
-2, 0, 11
Suppose -6*l + 2*l - 416 = 0. Let v = 106 + l. Factor -2/11 + 2/11*a**4 + 4/11*a + 0*a**v - 4/11*a**3.
2*(a - 1)**3*(a + 1)/11
Let o(b) = -6*b**2 + 17*b + 1. Let u(k) = 3*k**2 - 9*k. Let c = 14 - 8. Let v(a) = c*o(a) + 11*u(a). Determine d so that v(d) = 0.
-1, 2
Let j(b) be the third derivative of -1/300*b**6 - 3*b**2 + 2/75*b**5 + 0*b + 0 + 0*b**3 + 0*b**4. What is m in j(m) = 0?
0, 4
Let z(m) be the third derivative of -m**5/420 - m**4/56 + 5*m**3/21 - 2*m**2 - 123*m. Factor z(s).
-(s - 2)*(s + 5)/7
Let u(v) be the third derivative of v**6/60 - v**5/5 - v**4/3 + 8*v**3 - 113*v**2. Factor u(z).
2*(z - 6)*(z - 2)*(z + 2)
Factor 52/7*d + 2/7*d**3 + 54/7*d**2 + 0.
2*d*(d + 1)*(d + 26)/7
Let f(d) = -3*d**2 - 2. Let x(n) = -10*n**2 + 10*n + 30. Let j(h) = -15*f(h) - x(h). Find i such that j(i) = 0.
0, 2/11
Let j(r) be the first derivative of 16*r**3/15 - 46*r**2/5 + 24*r - 215. Find h such that j(h) = 0.
2, 15/4
Suppose -5*i + 18 = i. Let -59*a**3 - 57*a**i + 113*a**3 = 0. What is a?
0
Let i(y) be the second derivative of -y**6/90 - y**5/60 + y**4/6 + 124*y. Suppose i(u) = 0. What is u?
-3, 0, 2
Let q = -127 + 130. Let c(a) be the second derivative of -1/20*a**5 - 1/30*a**6 + 2*a + 1/6*a**q + 1/4*a**4 - a**2 + 0. Factor c(r).
-(r - 1)**2*(r + 1)*(r + 2)
Let k(s) be the first derivative of 2*s**3/15 + 8*s**2/5 - 66*s/5 - 325. Factor k(q).
2*(q - 3)*(q + 11)/5
Let j(s) be the second derivative of 9/70*s**5 + 4*s + 25/7*s**3 + 163/42*s**4 - 24/35*s**6 + 9/7*s**2 + 0 + 16/147*s**7. Find h, given that j(h) = 0.
-1, -1/4, 3
Let w = 27/22 + -8/11. Let n(b) be the first derivative of -2*b + 3/2*b**2 + 1/16*b**4 - w*b**3 + 5. Let n(v) = 0. Calculate v.
2
Factor -41*s**3 - 36*s**3 + 110*s**3 + 4*s**2 + 6 + 11*s - 34*s**3.
-(s - 6)*(s + 1)**2
Suppose 0 = -5*d + d + m + 25, -15 = -5*m. Suppose 0 = d*p + 6 - 20. Solve 0 + 2/7*x - 6/7*x**p + 6/7*x**3 - 2/7*x**4 = 0.
0, 1
Let z(i) = 2*i**2 + 76*i + 387. Let j be z(-6). Factor 2/21*v**j - 2/7*v + 0*v**2 + 4/21.
2*(v - 1)**2*(v + 2)/21
Suppose -k - 31 = -35. Suppose -2*x - k*w + 16 = 0, -2*w + 23 = 4*x + 3*w. Factor -4/7*j + 2/7*j**x + 0.
2*j*(j - 2)/7
Let d(f) be the first derivative of -2*f**5/45 + 7*f**4/18 + 62*f**3/27 - 7*f**2/9 - 20*f/3 - 145. Solve d(v) = 0.
-3, -1, 1, 10
Let s(t) be the first derivative of t**3/6 + 15*t**2/4 + 7*t + 127. What is n in s(n) = 0?
-14, -1
Let i = 11069 + -11067. What is m in i + 1/2*m**2 - 2*m = 0?
2
Let o be (-16)/4*273/12. Let n = o + 187/2. Solve -1/2*m**3 - 2*m**2 - n*m - 1 = 0.
-2, -1
Let w = -177 + 142. Let r be 2 - (3 + (4 - (-225)/w)). Let 6/7*z + 4/7 - r*z**2 = 0. What is z?
-2/5, 1
Solve -52*c**2 + 160 + 10*c**4 - 68*c**2 + 25*c**3 - 138*c - 5*c**4 + 158*c = 0 for c.
-8, -1, 2
Let u(s) be the first derivative of -s**4/8 + 11*s**3/6 - 8*s**2 + 14*s + 148. Find j such that u(j) = 0.
2, 7
Suppose -u - 4*w = -20, w - 10 = -3*u - w. Suppose u = 21*j - 20*j - 2. Factor 0 + 0*o - 3/5*o**3 - 6/5*o**j.
-3*o**2*(o + 2)/5
Suppose -3*i = -0*i + 2*i. Factor -w**2 + i*w**4 - 4*w + w**4 + 7*w - 15*w**3 + 12*w**3.
w*(w - 3)*(w - 1)*(w + 1)
Let b(d) = d**2 - 4*d + 10. Let f be b(5). Let g(p) = -20*p**4 - 5*p**3 + 25*p**2. Let v(j) = -j**4 + j**2. Let y(a) = f*v(a) - g(a). Factor y(k).
5*k**2*(k - 1)*(k + 2)
Factor 33*d**4 - 167*d + 5*d**5 + 41*d**4 + 19*d**3 + 126*d**3 - 24*d**4 - 73*d + 40*d**2.
5*d*(d - 1)*(d + 3)*(d + 4)**2
Let y(g) be the third derivative of g**7/56 + 17*g**6/96 - 3*g**5/16 - 85*g**4/96 + 5*g**3/4 + 68*g**2. What is r in y(r) = 0?
-6, -1, 1/3, 1
Let h(s) be the third derivative of -s**5/60 - s**4/12 + s**3/2 + 6*s**2 - 2. Factor h(x).
-(x - 1)*(x + 3)
Let g(s) = s**2 - 10*s - 1. Let x be g(10). Let r be ((-1)/2)/x + -1 + 2. Suppose 3/4*w + r - 3/4*w**2 = 0. Calculate w.
-1, 2
Let d(s) be the first derivative of -s**5/270 + s**4/36 + 10*s**2 + 30. Let t(m) be the second derivative of d(m). Factor t(r).
-2*r*(r - 3)/9
Let d(m) be the third derivative of 5*m**8/336 + m**7/42 - m**6/4 - 7*m**5/6 - 55*m**4/24 - 5*m**3/2 - 12*m**2 + 2*m. Let d(r) = 0. What is r?
-1, 3
Let m(d) = 3*d - 6. Let l(c) = -c**2 - c + 22. Let h be l(-5). Let a be m(h). Let a*s + 1/4*s**2 - 1/4*s**4 + 1/4*s**5 - 1/4*s**3 + 0 = 0. Calculate s.
-1, 0, 1
Suppose -6 = -3*t - 3*v, 22*t + 5 = 24*t + v. Let s(f) be the first derivative of 0*f + 0*f**2 - 2/27*f**t - 2 - 2/45*f**5 + 1/9*f**4. Factor s(x).
-2*x**2*(x - 1)**2/9
Let u(q) be the second derivative of -5/12*q**4 + 0 - q - 5/3*q**3 - 5/2*q**2. Factor u(i).
-5*(i + 1)**2
Let c(y) be the third derivative of 1/165*y**6 + 1/330*y**5 - 1/33*y**4 + 8*y**2 - 1/33*y**3 + 0*y + 0. Factor c(i).
2*(i - 1)*(i + 1)*(4*i + 1)/11
Let p(v) be the first derivative of 2*v**6/3 + 16*v**5/5 - 6*v**4 - 16*v**3/3 + 10*v**2 - 100. Factor p(k).
4*k*(k - 1)**2*(k + 1)*(k + 5)
Let u be (2*-1)/(16/8). Let s = -2 + u. Let p(j) = -3*j**2 + 3*j - 3. Let c(a) = 1. Let i(d) = s*c(d) - p(d). Let i(l) = 0. Calculate l.
0, 1
Let h(q) = q**2 + 6*q - 2. Let b be h(6). Determine y so that 125*y**5 - 303*y**3 - 260*y - 40 + 100*y**4 - 52*y**3 - 555*y**2 - 65*y**2 + b*y**2 = 0.
-1, -2/5, 2
Let n(q) = -1244*q + 6225. Let c be n(5). Find d such that 12/5*d**3 - 8/5*d**2 + 2/5*d**c + 2/5*d - 8/5*d**4 + 0 = 0.
0, 1
Let x(i) be the third derivative of 5/6*i**3 + 0*i**4 + 0 - 6*i**2 + 0*i - 1/12*i**5. Factor x(r).
-5*(r - 1)*(r + 1)
Let r(x) be the second derivative of -x**5/220 + x**4/33 + 19*x**3/66 + 7*x**2/11 + 635*x. Determine p so that r(p) = 0.
-2, -1, 7
Suppose 2*m + 4*o = 3*o + 15, 40 = 5*m + 3*o. Let q be (m + 71/(-15))*5/2. Find n, given that 8/3*n**3 + 0 + 2*n**2 - q*n = 0.
-1, 0, 1/4
Factor 9*u + 3 + 39/4*u**2 + 9/2*u**3 + 3/4*u**4.
3*(u + 1)**2*(u + 2)**2/4
Let -45*m**3 + 4*m**3 - 9*m + 40*m**3 + 6*m**2 + 4 = 0. What is m?
1, 4
Suppose 0 = -3*a - 9, 4*y + 9 + 18 = -5*a. Let u(k) = k**3 + 5*k**2 + 2*k - 4. Let x be u(y). Factor -o**2 - 18*o**3 + x*o**3 + 11*o**3.
o**2*(o - 1)
Determine m so that -8/3*m + 14*m**2 + 2/3*m**4 - 56/3 + 20/3*m**3 = 0.
-7, -2, 1
Let o(l) = -3*l**4 - 17*l + 21 + 7*l**4 - l**3 - 34. Let z(c) = c**4 - 4*c - 3. Let p(q) = -2*o(q) + 9*z(q). Factor p(d).
(d - 1)*(d + 1)**3
Suppose 40 = 58*x - 76. Let u(g) be the second derivative of 2*g + 0 - 3/20*g**5 - g**4 + 0*g**x - 3/2*g**3. Factor u(c).
-3*c*(c + 1)*(c + 3)
Suppose t + 301 = -4*v, v + 88 = 4*t - 0*t. Let w = v + 383/5. Factor -3/5*y + 0 + w*y**3 + 0*y**2.
3*y*(y - 1)*(y + 1)/5
Suppose 4*b + 2 - 3 = 5*r, 0 = -2*r + 3*b + 1. Let w = 15 - r. Let w*v**3 + 27*v**2 + 7*v**3 + 5*v**3 + 2*v**3 - 9*v - 6 = 0. Calculate v.
-1, -2/5, 1/2
Let g(b) be the second derivative of 0*b**2 + 1/12*b**4 - 1/4*b**3 + 0 - 1/120*b**5 + 6*b. Factor g(d).
-d*(d - 3)**2/6
Suppose -r + 15 = -0*y + 5*y, 0 = 4*y - 4*r + 12. Suppose 6*f**2 + f - 2*f**y + f**4 + 3*f**4 + 0*f + 6*f**3 + f**5 = 0. What is f?
-1, 0
Let t(x) = x**2 - x + 2. Let i(l) = -l**3 + 3*l**2 - 9*l + 11. Let j(o) = -i(o) + 6*t(o). Factor j(d).
(d + 1)**3
Let h(m) = -m**3 + 12*m**2 - 19*m + 10. Let d be h(10). Let j be 2/10*d/24. Factor -1/6*f**5 + 1/6*f**3 - 1/6*f**2 + 0 + j*f**4 + 0*f.
-f**2*(f - 1)**2*(f + 1)/6
Let k(n) = 5*n**2 + 6*n + 10. Let z(t) = -10 - 7*t - 4*t**2 - 1 - 2*t**2. Let a(u) = -7*k(u) - 6*z(u). Factor a(p).
(p - 2)*(p + 2)
Let u be (98/13)/(20/5) - 2. Let v = 8/13 + u. Factor -v*r**2 - 1/4*r + 1/2*r**4 + 0*r**3 + 1/4*r**5 + 0.
r*(r - 1)*(r + 1)**3/4
Let n(z) be the second derivative of -z**4/66 + z**2/11 + 33*z. Determine s, given that n(s) = 0.
-1, 1
Let l(b) be the first derivative of -57/2*b**2 - 6 - 96/5*b**5 + 72*b**4 + 9*b + 6*b**3. Solve l(c) = 0.
-1/2, 1/4, 3
Let x(g) be the first derivative of 8