(b) = 0. What is b?
0
Let m(p) be the third derivative of -11*p**5/30 + 7*p**4/12 + 4*p**3/3 - 11*p**2. Factor m(r).
-2*(r - 1)*(11*r + 4)
Factor 1/6*v**4 + 7/6*v**3 + 1/3*v**2 + 0 - 20/3*v.
v*(v - 2)*(v + 4)*(v + 5)/6
Suppose 64 = l + 3*l. Suppose 2*s = l*s - 28. Factor 4/13*j + 0 + 2/13*j**s.
2*j*(j + 2)/13
Let i(z) = z + 1. Let h(s) = 2*s**2 + 4*s + 3. Let r(w) = -4*h(w) + 12*i(w). Let f = 31 - 30. Let a(x) = 1. Let l(g) = f*r(g) + 4*a(g). Factor l(v).
-4*(v + 1)*(2*v - 1)
Let i(x) = -3*x**3 + 4*x**3 + 0*x**3 - 2*x**3 + 4*x**2 + 4. Let z be i(4). Solve -4*k**2 - 4*k**5 - 3*k**2 + k**2 - 2*k**2 - 20*k**3 - 16*k**z = 0 for k.
-2, -1, 0
Let k(h) be the second derivative of -5*h**4/12 + 65*h**3/6 - 30*h**2 + 11*h - 1. Solve k(b) = 0.
1, 12
Let a(k) be the first derivative of -1/2*k + 1/4*k**4 + 1/6*k**3 - 1/2*k**2 - 9. Suppose a(g) = 0. Calculate g.
-1, -1/2, 1
Let y = -20012/15 - -4006/3. Factor 0 + 0*f**4 + 0*f**2 - 3/5*f**5 - 3/5*f + y*f**3.
-3*f*(f - 1)**2*(f + 1)**2/5
Let j(h) = h**3 - 3*h**2 + 2*h + 1. Let s be j(3). Let c = 12 - s. Let 4*n**2 - n**2 + c*n**2 - 8*n - 12 - 4*n**2 = 0. Calculate n.
-1, 3
Let k(f) be the second derivative of -f**6/90 + 2*f**5/15 - 19*f**4/36 + 2*f**3/3 + 86*f. Factor k(w).
-w*(w - 4)*(w - 3)*(w - 1)/3
Let s be 5 - (2 + -1 - 2/(-2)). Let k(r) be the third derivative of 0*r + 5*r**2 + 1/80*r**6 + 1/30*r**5 + 0 + 0*r**s + 1/48*r**4. Determine z so that k(z) = 0.
-1, -1/3, 0
Let a be 165/(-45)*((-192)/44 + 4). Let 4/3*c**2 + 16/3*c**3 - 16/3*c - a = 0. What is c?
-1, -1/4, 1
Let c(o) = 5*o**3 - 50*o**2 + 95*o + 165. Let d(s) = 5*s**3 - 51*s**2 + 96*s + 164. Let j(q) = 4*c(q) - 5*d(q). Factor j(u).
-5*(u - 8)*(u - 4)*(u + 1)
Let a(h) = -h + 11. Suppose 3*l + 2*k - 9 = 7*k, -20 = -l - 4*k. Let u be a(l). Factor -6*p**2 + 9*p**2 - 3*p**u + 0*p**3.
-3*p**2*(p - 1)
Suppose 72 + 16*k**3 + 2*k**4 - 16*k**2 - 6*k**3 - 4*k**3 - 38*k**2 + 8*k + 6*k**3 = 0. What is k?
-9, -1, 2
Suppose -139 + 207 = 68*q. Suppose -q + 0*g + 1/4*g**2 = 0. Calculate g.
-2, 2
Let c(b) be the first derivative of -2*b**2 - 1/6*b**4 + 2*b - 1/20*b**5 + 7/6*b**3 + 5. Let f(r) be the first derivative of c(r). Determine j so that f(j) = 0.
-4, 1
Let g(b) be the third derivative of -b**8/2352 - b**7/1470 + b**6/840 + b**5/420 - 3*b**2 - 18*b. Solve g(a) = 0.
-1, 0, 1
Let l(x) = 6*x**3 + x**2 + 22. Let g(v) = -v**3 - 4. Let a(f) = -11*g(f) - 2*l(f). Factor a(d).
-d**2*(d + 2)
Let v(l) be the first derivative of -l**6/18 + 88*l**5/15 - 173*l**4/12 + 86*l**3/9 + 270. What is d in v(d) = 0?
0, 1, 86
Let s be (((-3)/63)/(4/(-144)))/3. Factor 10/7*x - s - 2/7*x**3 - 6/7*x**2 + 2/7*x**4.
2*(x - 1)**3*(x + 2)/7
Let t = 1567/4 + -11125/28. Let x = -71/14 - t. Factor 1/2*g - 1/2 + 1/2*g**2 - x*g**3.
-(g - 1)**2*(g + 1)/2
Let q be (5 + -13)/4 + 4. Let k(b) be the third derivative of 0 + 6*b**q + 1/12*b**5 + 5/24*b**4 + 0*b - 5/6*b**3 - 1/24*b**6. Let k(w) = 0. What is w?
-1, 1
Suppose 0 = -6*v + v - 2*c + 77, -5*v = 3*c - 78. Suppose -j + v = 12. Solve -11*g**3 + 10*g**2 - g**j + 10*g**2 - 16 + 16*g = 0.
-1, 2/3, 2
Let h(a) be the third derivative of a**7/630 - a**6/30 - 7*a**4/8 - 9*a**2. Let b(o) be the second derivative of h(o). Factor b(m).
4*m*(m - 6)
Let y be 25/(-15)*18/(-135). Find z, given that y*z**3 + 0*z - 2/3*z**2 + 8/9 = 0.
-1, 2
Let a(c) be the second derivative of 0 + 1/20*c**6 + 22*c + 1/8*c**5 + 0*c**2 + 0*c**3 - 1/12*c**4. Solve a(h) = 0 for h.
-2, 0, 1/3
Let r(x) be the first derivative of x**4 + 48*x**3 + 864*x**2 + 6912*x - 26. Let r(f) = 0. Calculate f.
-12
Let a be (-1*4)/((-6)/((-3)/(-1))). Let l(v) = -v - 1. Let p(o) = 4*o**2 - 4*o + 4. Let n(m) = a*p(m) + 4*l(m). Factor n(w).
4*(w - 1)*(2*w - 1)
Suppose -4*z + 12*z = 120. Let b be (z/(-45))/((1 + 1)/(-20)). Let 10/3*r**2 - 4/3*r - b*r**4 + 0 + 4/3*r**3 = 0. What is r?
-1, 0, 2/5, 1
Let d be 3 - -72 - (0 + 4). Let q = -35 + d. Suppose -q*k**2 + 3*k**3 - 6 + 36*k**2 - 9*k = 0. Calculate k.
-1, 2
Factor -7/4*g**2 - 3/2*g**3 + 0 + 1/4*g**4 + 0*g.
g**2*(g - 7)*(g + 1)/4
Let s(i) be the third derivative of -42*i**2 + 0*i + 1/60*i**6 - 1/12*i**4 - 1/6*i**3 + 0 + 1/60*i**5. Factor s(v).
(v - 1)*(v + 1)*(2*v + 1)
Solve -273/4*i**3 + 2115/4*i**2 + 0 - 675/4*i + 9/4*i**4 = 0.
0, 1/3, 15
Factor 2/13*q**3 - 38/13*q + 8/13*q**2 + 28/13.
2*(q - 2)*(q - 1)*(q + 7)/13
Let f(s) be the first derivative of s**4/9 - 16*s**3/27 - 10*s**2/3 + 8*s - 87. What is t in f(t) = 0?
-3, 1, 6
Let k = 1/1995 + 7093/665. Find b, given that 16/3*b**2 + 2/3 + 14/3*b - k*b**3 = 0.
-1/4, 1
Let b(x) be the third derivative of x**8/336 - 4*x**7/105 + 2*x**6/15 + 193*x**2. Find g such that b(g) = 0.
0, 4
Let c(x) = -x - 13. Let y be c(-7). Let w(d) = -4*d - 12. Let s be w(y). Determine q, given that 6 - 2*q**3 - 3*q + s*q - q**3 = 0.
-1, 2
Suppose -411 = -18*s - 14 + 35. Factor -36*w - 3/2*w**3 + 27/2*w**2 + s.
-3*(w - 4)**2*(w - 1)/2
Let r be (15/54)/(6 - 2). Let c(t) be the third derivative of -r*t**4 - 1/9*t**3 - 1/45*t**5 + 0 - 1/360*t**6 + 5*t**2 + 0*t. Solve c(h) = 0.
-2, -1
Let f(i) = -2*i + 34. Let w be f(18). Let z(n) = -4*n**2 + 2*n + 9. Let k(t) = 3*t**2 - t - 8. Let g(r) = w*z(r) - 3*k(r). Factor g(m).
-(m - 2)*(m + 3)
Let z(x) = -20*x**5 + 44*x**4 - 28*x**3 + 4*x**2 - 14*x + 14. Let u(l) = 7*l**5 - 15*l**4 + 9*l**3 - l**2 + 5*l - 5. Let h(t) = -14*u(t) - 5*z(t). Factor h(p).
2*p**2*(p - 3)*(p - 1)**2
Let d(v) be the first derivative of v**3/3 - 5*v**2/2 + 4*v + 6. Let d(s) = 0. What is s?
1, 4
Let z(x) = 5*x**2 + 7*x + 3. Let j be z(0). Factor -16/19*p + 2/19*p**j + 2/19*p**2 - 24/19.
2*(p - 3)*(p + 2)**2/19
Suppose 4*f - 5*d - 26 = 0, 3*d = -3*f + d + 8. Factor 0*s**4 + 8*s - 8*s**3 - 6*s**4 - f*s**2 + 8*s**2 + 2*s**4.
-4*s*(s - 1)*(s + 1)*(s + 2)
Let j(l) be the third derivative of 21/20*l**6 + 0 - 1/20*l**5 + 0*l - 2*l**3 - 5/2*l**4 - 13*l**2 + 27/70*l**7. Determine h, given that j(h) = 0.
-1, -2/9, 2/3
Let n be 6/(-297)*-9 - (-16)/154. Let n*c**5 - 4/7*c**4 + 0*c**3 + 4/7*c**2 + 0 - 2/7*c = 0. What is c?
-1, 0, 1
Suppose -10*g = 4*g - 28. Let h(d) = d**3 + 8*d**2 + 7*d + 1. Let w be h(-7). Determine j so that 5 + 4*j**2 - j**g + w + 9*j = 0.
-2, -1
Suppose 1 = -6*n + 85. Let h(z) = z**3 - 14*z**2 - z + 17. Let r be h(n). Factor y**2 + 3*y**2 - 6*y**r + 3*y + y + 3*y**3.
-y*(y - 2)*(3*y + 2)
Factor -108*i**2 + 61*i**2 + 5*i**3 + 315*i - 33*i**2.
5*i*(i - 9)*(i - 7)
Let m = 3541/15 + -236. Let s(w) be the first derivative of 0*w - m*w**5 + 1/6*w**4 - 1 + 1/9*w**3 - 1/3*w**2. Factor s(j).
-j*(j - 2)*(j - 1)*(j + 1)/3
Let x(k) be the third derivative of -k**5/12 - 5*k**4/4 - 47*k**3/6 - 13*k**2. Let v(m) = -10*m**2 - 60*m - 95. Let i(l) = -2*v(l) + 5*x(l). Factor i(p).
-5*(p + 3)**2
Let y(o) = o**3 - o**2 + o - 1. Let i(m) = 7*m**3 - 3*m**2 + 3*m - 7. Let c(b) = i(b) - 5*y(b). Factor c(p).
2*(p - 1)*(p + 1)**2
Let a(y) be the second derivative of -y**7/42 - y**6/5 - 7*y**5/10 - 4*y**4/3 - 3*y**3/2 - y**2 - 75*y + 2. Solve a(i) = 0 for i.
-2, -1
Let s(t) = t. Let p(g) = 6 - 10*g**2 + 2*g + 39*g**2 - 13*g**2 - 14*g**2. Let n(b) = -p(b) - 6*s(b). Suppose n(o) = 0. Calculate o.
-3, -1
Let p(x) be the second derivative of -x**7/70 + x**6/40 + x**5/20 - x**4/8 + 7*x**2/2 + 24*x. Let l(o) be the first derivative of p(o). Factor l(d).
-3*d*(d - 1)**2*(d + 1)
Suppose 0 = 2*s + 4, 10*s = 3*f + 11*s - 4. Let u(p) be the second derivative of 0 + 1/66*p**4 - 2/33*p**3 + 1/110*p**5 - 3*p + 0*p**f. Factor u(j).
2*j*(j - 1)*(j + 2)/11
Solve -500 - 15*f**2 + 1/2*f**3 + 150*f = 0 for f.
10
What is g in 68*g**2 - 210*g**3 + 16 + 280/3*g + 98/3*g**4 = 0?
-2/7, 1, 6
Let k(j) be the third derivative of -j**7/105 + j**6/3 - 59*j**5/15 + 15*j**4 - 27*j**3 + 93*j**2. Find h, given that k(h) = 0.
1, 9
Let y(t) be the third derivative of -t**6/30 + 47*t**5/15 - 22*t**4 - 212*t**2. Solve y(a) = 0 for a.
0, 3, 44
Let z(q) = -133 + 138 + 8*q**2 - 4*q**2 + 17*q. Let l(f) = -6*f**2 - 25*f - 7. Let w(j) = 5*l(j) + 7*z(j). Find b such that w(b) = 0.
-3, 0
Let -3/7*f**5 - 1086/7*f**2 - 90/7*f**4 + 108*f - 753/7*f**3 + 168 = 0. What is f?
-14, -2, -1, 1
Let o = -79 - -85. Suppose -5*t + 2*y = o - 33, t + 3*y - 2 = 0. Suppose -3*j**t - 3/2*j**3 + 0 + 0*j - 21/4*j**4 + 3/4*j**2 = 0. Calculate j.
-1, 0, 1/4
Let f(p) = 12*p - 7. Let a be f(1). Le