 - 8*h**5/15 - h**2 - 168*h. What is s in j(s) = 0?
-4, 0, 1, 8
Let z(s) = 18*s**2 + 18*s - 36. Let n(d) = -d**3 - 36*d**2 - 35*d + 72. Let g(a) = 3*n(a) + 5*z(a). Determine b so that g(b) = 0.
-4, -3, 1
Let p(l) = -54*l**2 + 39*l. Let t(m) = 2*m - 11. Let j be t(0). Let f(h) = 109*h**2 - 78*h + 1. Let y(d) = j*p(d) - 6*f(d). Factor y(o).
-3*(4*o - 1)*(5*o - 2)
Let z = 20813/3 + -6937. Let y(a) = -a**2 + 10*a + 3. Let m be y(10). Suppose 5/3*h + 1/3*h**4 - h**2 - z - 1/3*h**m = 0. What is h?
-2, 1
Let l(c) be the second derivative of -c**8/6720 + c**6/720 - c**4/96 - c**3/6 + 19*c. Let f(q) be the second derivative of l(q). Factor f(z).
-(z - 1)**2*(z + 1)**2/4
Let w(u) = -6*u**2 - 7*u - 11. Let d(z) = 10*z + 7*z**2 + 2*z**2 + 3 + 14. Let j(i) = 5*d(i) + 8*w(i). Factor j(o).
-3*(o + 1)**2
Let y(q) = q**3 + 10*q**2 + q + 12. Let k be y(-10). Factor -3*b**2 + 19 - 23 + k*b + 5*b**2.
2*(b - 1)*(b + 2)
Let y(j) = -3*j - 6. Let q be y(-3). Suppose 2*s**2 + 5*s**q - 24*s + 13 - 7*s**2 - 28 - s = 0. What is s?
-1, 3
Determine q so that -982*q**4 - 156*q**3 + 8 + 65*q**2 + 1036*q**4 - 64*q + 93*q**2 = 0.
2/9, 2/3, 1
Find o, given that 28/11 + 2/11*o**2 + 30/11*o = 0.
-14, -1
Let z = 8211 + -8209. Solve 4/9 - 1/9*t**3 + 2/3*t**z - t = 0.
1, 4
Let x(q) be the second derivative of -q**5/30 + 2*q**4/9 + 19*q**3/9 + 14*q**2/3 - 18*q. Factor x(p).
-2*(p - 7)*(p + 1)*(p + 2)/3
Let q = -681 - -684. Suppose -6/7*w**2 + 0 + 4/7*w + 0*w**q + 2/7*w**4 = 0. Calculate w.
-2, 0, 1
Let -41 - 7 + 1 + 9 - 4*d**2 - 78*d = 0. What is d?
-19, -1/2
Let c(m) be the first derivative of m**3 + 35*m**2/2 - 12*m - 248. Factor c(f).
(f + 12)*(3*f - 1)
Let l(o) = 2*o**4 - 2*o**3 + 2*o**2 + 10*o - 4. Let r(z) = -z**4 + z**2 - z. Let s(t) = l(t) + 8*r(t). What is j in s(j) = 0?
-1, 2/3, 1
Let c(g) be the second derivative of g**7/3360 - g**6/1440 - 2*g**3/3 + 8*g. Let a(j) be the second derivative of c(j). Factor a(n).
n**2*(n - 1)/4
Suppose -3*t = 4*f, -4*f + t = 3*t. Let z(v) be the third derivative of f*v + 1/33*v**3 + 0*v**4 + 6*v**2 - 1/330*v**5 + 0. Solve z(x) = 0 for x.
-1, 1
Let l(i) be the second derivative of 2*i**7/1365 + i**6/260 - i**5/195 + 9*i**2/2 + 19*i. Let c(x) be the first derivative of l(x). Let c(f) = 0. Calculate f.
-2, 0, 1/2
Let a(q) be the first derivative of q**4/4 + 64*q**3/3 - q**2/2 - 64*q + 139. Factor a(k).
(k - 1)*(k + 1)*(k + 64)
Let d be 1485/99 + (-399)/27. Factor 2/3*r**3 + 2/9*r + 0 - d*r**4 - 2/3*r**2.
-2*r*(r - 1)**3/9
Let i(l) = l**2 - 5*l + 1. Let u be i(7). Factor u*p + 60*p**2 + 6 + 4 - 55*p**2.
5*(p + 1)*(p + 2)
Let k(j) be the second derivative of j**5/40 + j**4/3 + 3*j**3/4 - 9*j**2/2 + 113*j. Solve k(u) = 0.
-6, -3, 1
Let v(w) be the second derivative of -6*w**2 + 1/3*w**4 + 0 + 4/3*w**3 - w. Factor v(z).
4*(z - 1)*(z + 3)
Factor 17 + 3*g**3 + 231*g + 59*g**2 + 97 + 61*g**2.
3*(g + 1)**2*(g + 38)
What is c in 56/9*c**2 + 4/9 - 38/3*c = 0?
1/28, 2
Let w(v) be the third derivative of -v**5/60 + 25*v**4/24 - 23*v**3/3 + v**2 + 132*v. Factor w(n).
-(n - 23)*(n - 2)
Let k = 8 + -2. Factor 20*p - 13 - k*p**2 + p**2 + 13.
-5*p*(p - 4)
Let j(v) be the third derivative of 1/24*v**4 - 1/120*v**6 + 0*v + 0*v**5 + 0*v**3 + 2*v**2 + 0. Factor j(x).
-x*(x - 1)*(x + 1)
Solve 33*o**3 + 44*o**3 - 29*o**3 + o**2 - o**4 - 48*o + 47 - 47*o**2 = 0 for o.
-1, 1, 47
Let h be (-20)/45*3*-3. Suppose i + 4*i = -r - 15, h*i = -4*r - 12. Factor 1/3*t**2 - 1/3*t + r.
t*(t - 1)/3
Let a(t) = t**4 - 11*t**3 + 6*t**2 - t. Let n(u) = u**4 - 12*u**3 + 5*u**2. Let r(p) = 6*a(p) - 5*n(p). Factor r(h).
h*(h - 3)*(h - 2)*(h - 1)
Let r(s) = -5*s**2 - 10*s - 5. Let i(a) be the second derivative of -a**4/3 - 4*a**3/3 - 2*a**2 + 28*a. Let k(f) = -6*i(f) + 5*r(f). Let k(y) = 0. What is y?
-1
Let g(w) be the second derivative of 1/20*w**5 + 0*w**3 + 1/18*w**4 + 0*w**2 + 0 - 5*w - 3/10*w**6. Solve g(r) = 0.
-2/9, 0, 1/3
Suppose 3*z + 48 = 25*z - 18. Factor 1/5*g - 1/5*g**z + 1/5*g**2 - 1/5*g**4 + 0.
-g*(g - 1)*(g + 1)**2/5
Suppose -226*r - 19 - 11 = -241*r. Factor 16/5*h**r - 12/5*h**3 + 0 - 4/5*h.
-4*h*(h - 1)*(3*h - 1)/5
Suppose -x = 4*x - 10. Factor -i + i + 6 - 8*i + 2*i**x.
2*(i - 3)*(i - 1)
Let z be (-60)/(-325)*(-145)/(-58). Solve z*f**2 + 4/13*f + 2/13*f**3 + 0 = 0.
-2, -1, 0
Let d(q) = -16*q**5 - 16*q**4 + 7*q**3. Let i(k) = 5*k**5 + 5*k**4 - 2*k**3. Let c be 2/13 + 384/208. Let a(f) = c*d(f) + 7*i(f). Find v such that a(v) = 0.
-1, 0
Suppose -237*b = -234*b - 9. Let w(y) be the first derivative of -2 - 3/2*y**2 + 2*y + 1/3*y**b. Factor w(j).
(j - 2)*(j - 1)
Factor -2/5*s**2 + 14/5*s - 12/5.
-2*(s - 6)*(s - 1)/5
Let x = -4479136/643 + 6966. Let y = x + 2546/8359. Factor 2/13*s**2 - y*s + 0.
2*s*(s - 2)/13
Let f(d) be the second derivative of 4*d**7/63 - 107*d**5/30 + 67*d**4/6 - 122*d**3/9 + 8*d**2 + 45*d. Suppose f(v) = 0. What is v?
-6, 1/2, 1, 4
Let i = 15727/39330 + 1/7866. Factor 1/5*t - 3/5*t**2 + i - 1/5*t**3 + 1/5*t**4.
(t - 2)*(t - 1)*(t + 1)**2/5
Let j = 12 - 10. Let b be (1 - -28) + j + 2. Suppose 2*f**2 - 4*f - b + 33 = 0. Calculate f.
0, 2
Let z(q) be the third derivative of -q**7/945 - q**6/270 + 2*q**5/135 + 2*q**4/27 + 137*q**2. Find p such that z(p) = 0.
-2, 0, 2
Suppose 6*o = 3*o. Suppose o - 3 = g. Let b(m) = -4*m**2 + 2*m + 3. Let z(x) = -3*x**2 + x + 2. Let l(u) = g*z(u) + 2*b(u). Solve l(r) = 0 for r.
-1, 0
Suppose 124*s - 308 = 64. Let y(n) be the first derivative of -9 + 4/9*n**s - 5/3*n**2 - 8/15*n**5 + 1/9*n**6 + 4/3*n + 2/3*n**4. Factor y(o).
2*(o - 2)*(o - 1)**3*(o + 1)/3
Suppose 4*f - 5*o = -0*f + 10, -4*f - 4*o + 28 = 0. Suppose 2*t + 36 = f*t. Factor -2 + 8*y + 12 + t*y**2 - 10 - 4*y**4.
-4*y*(y - 2)*(y + 1)**2
Factor 1/7*b**2 - 31/7 - 30/7*b.
(b - 31)*(b + 1)/7
Let p be -2 + -3 + 114 - -5. Let u = 343/3 - p. Find o, given that -u*o**2 - 8/3*o - 16/3 = 0.
-4
Let o(b) be the second derivative of -b**7/280 - 7*b**6/40 - 147*b**5/40 - 343*b**4/8 + 23*b**3/6 + b. Let d(j) be the second derivative of o(j). Factor d(k).
-3*(k + 7)**3
Let c(a) be the first derivative of a**5/5 - 7*a**4 + 262*a**3/3 - 462*a**2 + 1089*a + 188. Suppose c(h) = 0. Calculate h.
3, 11
Let t(o) be the third derivative of -7*o**6/480 - 19*o**5/240 + 19*o**4/24 - 5*o**3/6 - 96*o**2. Suppose t(k) = 0. Calculate k.
-5, 2/7, 2
Suppose 43*k + 65*k - 324 = 0. Factor 3/10*n + 1/5 + 0*n**2 - 1/10*n**k.
-(n - 2)*(n + 1)**2/10
Let z be 4*(12 - 959/84)*4/42. Factor 0 - 2/3*r**2 - 4/9*r - z*r**3.
-2*r*(r + 1)*(r + 2)/9
Factor -11 + 2*n - 21*n**3 + 5 + 19*n**3 + 8*n - 2*n**2.
-2*(n - 1)**2*(n + 3)
Let h(m) = 4*m**4 - 5*m**3 - 28*m**2 - 10*m - 3. Let b(o) = 7*o**4 - 12*o**3 - 55*o**2 - 21*o - 5. Let x(t) = 3*b(t) - 5*h(t). Solve x(k) = 0.
-1, 0, 13
Suppose -62 = 5*g + 5*n + 93, 0 = -5*g - 4*n - 154. Let k = -28 - g. What is h in 0 + 8/5*h + 0*h**k - 14/5*h**3 - 6/5*h**4 = 0?
-2, -1, 0, 2/3
Let v(f) be the second derivative of -f**6/60 + f**4/4 + 2*f**3/3 + 9*f**2/2 - 2*f. Let u(h) be the first derivative of v(h). Factor u(o).
-2*(o - 2)*(o + 1)**2
Factor 0 + 0*c - 4/5*c**4 + 1/5*c**5 + 3/5*c**3 + 0*c**2.
c**3*(c - 3)*(c - 1)/5
Let h be -9 + 22 + -15 + 1*2. Let f(j) be the third derivative of 0 + 1/5*j**5 - 8/3*j**3 + h*j + 0*j**4 - 8*j**2 + 1/30*j**6. Factor f(i).
4*(i - 1)*(i + 2)**2
Let n be 2 + 4/((-48384)/24186). Let p(o) be the third derivative of 0*o**6 + 0 - 1/1260*o**7 - n*o**8 + 0*o**5 + 0*o**3 + 0*o**4 + 0*o + 5*o**2. Factor p(b).
-b**4*(b + 1)/6
Let t(y) be the second derivative of y**4/4 + 2*y**3 + 9*y**2/2 - 24*y. Solve t(q) = 0.
-3, -1
Let c(z) be the first derivative of z**5/15 - z**4/4 - 2*z**3/9 + 2*z**2 - 8*z/3 + 254. Determine b so that c(b) = 0.
-2, 1, 2
Let k(u) = -3*u**2 - 125*u - 7. Let h(c) = -c**2 - 41*c - 2. Let r(x) = -7*h(x) + 2*k(x). Find v such that r(v) = 0.
-37, 0
Let j(q) be the first derivative of -q**3/18 + 13*q**2/6 - 25*q/6 + 348. Factor j(a).
-(a - 25)*(a - 1)/6
Let t = 35 - 310/9. Let f(c) be the first derivative of 1/5*c**5 - 1 + 1/6*c**2 - 1/12*c**4 + 2/3*c - t*c**3. Factor f(z).
(z - 1)**2*(z + 1)*(3*z + 2)/3
Factor 0*g**4 + g**4 + g**4 - 2490 + 148*g**3 + 2490 + 146*g**2.
2*g**2*(g + 1)*(g + 73)
Let l be 7/1008*-14 + 6/27. Let k(g) be the first derivative of -g**2 - 8 - l*g**4 + 2/3*g**3 + 0*g. Determine z so that k(z) = 0.
0, 2
Suppose -u