24 + m**7/280 + m**6/180 + 4*m**3/3 - 2*m. Let b(x) be the second derivative of z(x). Let b(k) = 0. Calculate k.
-1, 0, 2
Let h(c) be the second derivative of -c**5/70 - 3*c**4/14 + c**3 - 11*c**2/7 - 47*c. Suppose h(k) = 0. Calculate k.
-11, 1
Let a(p) be the second derivative of -p**8/5040 - p**7/420 - p**6/90 - p**5/45 + 7*p**3/6 - 6*p. Let m(i) be the second derivative of a(i). Solve m(l) = 0.
-2, 0
Let p(m) be the second derivative of 16*m**6/15 + 5*m**5 + 9*m**4 + 22*m**3/3 + 2*m**2 + 9*m. Factor p(b).
4*(b + 1)**3*(8*b + 1)
Let q(n) be the third derivative of n**8/28 - 3*n**7/14 + 2*n**6/5 - 3*n**5/20 - n**4/4 + 5*n**2. Determine v so that q(v) = 0.
-1/4, 0, 1, 2
Let t be -1*17/(-12) + (-18)/24. Let y(d) be the first derivative of -d**2 + 2/3*d**3 + t*d - 1/6*d**4 - 2. Factor y(z).
-2*(z - 1)**3/3
Let o be 3/(2*3/8). Suppose x - 3*x + 5*d = 14, 4*x + 8 = 5*d. Factor 2 + k**x + k**3 - k**3 + 5*k + o*k**2.
(k + 1)**2*(k + 2)
Let s = 190 - 188. Factor -75/2*p**5 + 165/2*p**4 + 6 + 12*p - 57/2*p**3 - 69/2*p**s.
-3*(p - 1)**3*(5*p + 2)**2/2
Let d(r) be the first derivative of 4*r**3/3 + 4*r**2 - 12*r + 4. Suppose d(b) = 0. What is b?
-3, 1
Let g(w) be the first derivative of -w**7/105 - w**6/30 + w**4/6 + w**3/3 + w**2 + 2. Let a(p) be the second derivative of g(p). Find b such that a(b) = 0.
-1, 1
Let v be (-27)/18*(-4)/3. Let g be 0/(3 + -2 + v). Solve -l**3 + g + l**5 - 1/2*l**4 + 1/2*l**2 + 0*l = 0 for l.
-1, 0, 1/2, 1
Let i(v) = 5*v**5 - 2*v**4 + 8*v**3 + 4*v**2 - v + 4. Let a(j) = 14*j**5 - 6*j**4 + 23*j**3 + 12*j**2 - 3*j + 11. Let n(h) = -6*a(h) + 17*i(h). Factor n(w).
(w - 1)**2*(w + 1)**2*(w + 2)
Suppose 1/3 + 5/6*t + 1/2*t**2 = 0. What is t?
-1, -2/3
Let o(u) be the first derivative of u**7/3780 + u**6/810 - u**5/180 - 5*u**3/3 + 3. Let h(x) be the third derivative of o(x). Factor h(f).
2*f*(f - 1)*(f + 3)/9
Let u(q) be the third derivative of q**8/168 + 2*q**7/105 - q**5/15 - q**4/12 + 4*q**2. Solve u(b) = 0.
-1, 0, 1
Let s(o) be the third derivative of 1/75*o**5 + 0*o + 0*o**3 + 0 + 1/525*o**7 - 2*o**2 - 1/100*o**6 + 0*o**4. Factor s(l).
2*l**2*(l - 2)*(l - 1)/5
Let m be 4 + 3*(-8)/12. Let r be (-99)/(-22) + m/(-4). Let 1/2*z**3 + 1/4*z**r - 1/2*z**2 + 1/4 - 1/4*z**5 - 1/4*z = 0. Calculate z.
-1, 1
Determine f so that 7 - 3*f - 9*f**2 + 0 + 3*f**3 + 2 = 0.
-1, 1, 3
Suppose -3*y - 2*y = 0. Suppose 0 = 4*g - y - 16. Suppose 0*i**3 + 1/3*i**g - 1/3*i**2 + 0 + 0*i = 0. What is i?
-1, 0, 1
Let -3/10 - 1/10*b**2 - 2/5*b = 0. What is b?
-3, -1
Suppose -4*q - q + 10 = 0. Suppose -3*v**2 + q*v**3 + 2*v + 0*v**2 - 4*v**2 + 3*v**2 = 0. Calculate v.
0, 1
Let z(g) be the third derivative of -g**8/110880 + g**7/9240 - g**6/1980 - g**5/60 + g**2. Let p(h) be the third derivative of z(h). Factor p(q).
-2*(q - 2)*(q - 1)/11
Let l be (16/(-24))/(4/(-18)). Let z(v) be the first derivative of v + 3/4*v**4 + 1 + 1/2*v**2 - 5/3*v**l. Factor z(t).
(t - 1)**2*(3*t + 1)
Let f be (0 - (1 + -1))/(-2). Suppose 3*g + g - 8 = f. Solve 0*j**g - 10*j**3 + j**4 + 7*j**4 - 2*j**5 - 2*j**3 - 2*j + 8*j**2 = 0 for j.
0, 1
Let n(q) be the second derivative of 2*q**4/3 - q**3 - q**2 - 5*q. Factor n(t).
2*(t - 1)*(4*t + 1)
Let x(t) be the second derivative of t**7/4410 - t**6/630 + t**5/210 - t**4/4 + 3*t. Let d(c) be the third derivative of x(c). Determine z, given that d(z) = 0.
1
Let w be 3 + (6 - 3)/(-3). Let g = -42/17 + 143/51. Find h such that g*h**w + 4/3*h + 4/3 = 0.
-2
Let y = 76 - 49. Let w be 63/y*(-4)/(-7). Find z such that 0 + 2/3*z - w*z**3 + 2/3*z**2 = 0.
-1/2, 0, 1
Suppose -k - 3 = 9. Let j be 49/(-77)*k/14. Factor -j*c**2 + 10/11*c - 4/11.
-2*(c - 1)*(3*c - 2)/11
Let y(q) = -q**3 + 17*q**2 + 5*q. Let s(f) = -16*f**2 - 4*f. Let a(j) = -5*s(j) - 4*y(j). Solve a(t) = 0.
-3, 0
Let a(w) be the second derivative of -w**5/160 - w**4/96 + 22*w. Factor a(m).
-m**2*(m + 1)/8
Let i be (-1)/(-3)*-3*(-3)/6. Factor 1/4*t**3 + 0 + i*t**2 + 1/4*t.
t*(t + 1)**2/4
Suppose 4*w - f - 340 = 0, 246 = 3*w - 0*w - 3*f. What is b in -b**2 + 22*b**4 - 35*b**2 - 32*b**3 + 128*b**3 - w*b**4 = 0?
0, 3/4
Solve 12/5*n**3 - 3/5 - 12/5*n + 3/5*n**2 = 0 for n.
-1, -1/4, 1
Let j = -14 - -16. Let c(s) be the first derivative of -2/3*s**3 - 1 + 0*s - 2*s**j. Factor c(a).
-2*a*(a + 2)
Let h be 1 + (-4)/(-12) - 1. Let t(w) be the first derivative of 0*w**2 - 3 - h*w**3 + 0*w. Factor t(r).
-r**2
Solve 2/9*v**2 - 4/9*v + 2/9*v**3 + 0 = 0.
-2, 0, 1
Let z(x) be the second derivative of 0 + x - 1/4*x**4 - x**2 + 1/20*x**5 - 5/6*x**3 + 1/30*x**6. What is l in z(l) = 0?
-1, 2
Let z(k) be the first derivative of -2*k**5 - 29*k**4/4 - 20*k**3/3 - 2*k**2 - 31. Factor z(j).
-j*(j + 2)*(2*j + 1)*(5*j + 2)
Suppose 2*u - 31 = -5*r - 0*u, 5 = 4*r - 5*u. Factor -s**r - 142 + 142.
-s**5
Factor -2/3*x + 0 - 2/3*x**2.
-2*x*(x + 1)/3
Let r = 2 + 7. Let i be 208/30*r/6. Factor i*l + 25*l**4 - 18*l**2 - 5*l**3 - 8/5.
(l + 1)*(5*l - 2)**3/5
Factor -u**3 + 5*u**4 - 2*u**4 - 3*u**4 + u**4.
u**3*(u - 1)
Let p(n) = -10*n**2 - 10*n + 20. Let c(k) = -2*k**2 - 2*k + 4. Suppose -5*a + 2*a = -48. Let f(w) = a*c(w) - 3*p(w). Determine y so that f(y) = 0.
-2, 1
Suppose k - s - 3 = 0, -12 = 6*k - 4*k + 4*s. Let a(i) be the second derivative of -1/40*i**5 + 0*i**2 + 0 + 0*i**3 + k*i**4 + 3*i + 1/60*i**6. Factor a(t).
t**3*(t - 1)/2
Let p = 33/2 + -16. Factor -r + p*r**2 + 0.
r*(r - 2)/2
Let w(o) be the second derivative of -o**6/720 - o**5/480 + o**3/2 + 3*o. Let r(c) be the second derivative of w(c). Factor r(t).
-t*(2*t + 1)/4
Factor 1/4*x**2 + x + 0.
x*(x + 4)/4
Suppose 5*f + 22 = z - 0*f, -5*f - 20 = 0. Factor o**2 + 7*o**2 - 12*o**2 + 0*o**z.
-4*o**2
Let y(n) be the first derivative of -n**3/3 + 3*n**2/4 - n/2 - 8. Factor y(g).
-(g - 1)*(2*g - 1)/2
Let k(g) = g**3 - 7*g**2 - 15*g - 6. Let t be k(9). Let r be t/6 - 8/4. Factor r*o - 3/2*o**2 + 1/2*o**3 - 1/2.
(o - 1)**3/2
Let o(y) = y**3 - 8*y**2 + y - 8. Let h be o(8). What is r in -4*r**4 + r + r + 6*r**2 + h*r**2 - 2 + 4*r**3 - 6*r**3 = 0?
-1, 1/2, 1
Let p be (12/8*(0 + 2))/1. Factor 1/2*z**2 - 1/2 + 1/4*z - 1/4*z**p.
-(z - 2)*(z - 1)*(z + 1)/4
Let v(c) be the first derivative of c**6/6 - 3*c**4/4 + 2*c**3/3 + 7. Suppose v(h) = 0. What is h?
-2, 0, 1
Let a(x) be the second derivative of 1/105*x**7 - 3/50*x**5 + 2/15*x**3 + 0 + 1/30*x**4 + 3*x + 0*x**2 - 1/75*x**6. Solve a(j) = 0 for j.
-1, 0, 1, 2
Let j = -736 + 1473/2. Factor 1/2*z**3 + j*z**2 + 0 - z.
z*(z - 1)*(z + 2)/2
Let h(j) be the second derivative of -1/90*j**6 + 1/30*j**5 + 5*j + 0*j**3 + 0 + 0*j**2 - 1/36*j**4. Solve h(a) = 0 for a.
0, 1
Solve 1/5*d**3 - d**2 - 3/5 + 7/5*d = 0.
1, 3
Let p(y) be the first derivative of y**4/10 - 2*y**3/15 - 6*y**2/5 - 25. Factor p(s).
2*s*(s - 3)*(s + 2)/5
Let w(z) be the third derivative of z**7/7560 + z**6/540 + z**5/120 - z**4/6 + 3*z**2. Let m(j) be the second derivative of w(j). Factor m(k).
(k + 1)*(k + 3)/3
Suppose 0 = 3*l + l - 8. Let 4 + 2*i**l + 14*i + 7*i**2 + i**2 = 0. What is i?
-1, -2/5
Factor -12/5*c - 2/5*c**2 + 14/5.
-2*(c - 1)*(c + 7)/5
Let q be 3 + -3 - 1/(-4). Factor 0*m**2 + 1/4*m**4 - 1/2*m**3 - q + 1/2*m.
(m - 1)**3*(m + 1)/4
Let k(s) be the first derivative of 5/2*s**2 - 2/3*s**3 - 5 - 2*s. Factor k(n).
-(n - 2)*(2*n - 1)
Let v(c) be the first derivative of c**4/2 + 20*c**3 + 300*c**2 + 2000*c + 6. Factor v(d).
2*(d + 10)**3
Suppose -15 = 3*a + 3*f, 0 = 3*a - 8*f + 4*f - 20. Suppose -2*q - 5*t - 5 = q, -t - 1 = -3*q. Solve -4/7*w**3 + q*w + 2/7*w**4 + a + 2/7*w**2 = 0 for w.
0, 1
Let j(x) be the first derivative of 1/5*x**3 - 3/10*x**2 + 1/10*x**4 - 4 - 2/5*x. Find h, given that j(h) = 0.
-2, -1/2, 1
Find w such that 2/3*w**2 + 2/3*w - 4/3 = 0.
-2, 1
Let j(p) be the second derivative of 0 + p + 0*p**2 - 1/1080*p**6 - 1/72*p**4 + 1/180*p**5 + 1/6*p**3. Let k(h) be the second derivative of j(h). Factor k(n).
-(n - 1)**2/3
Let b(o) be the first derivative of -2 - 1/80*o**5 - 1/2*o**3 - 2*o + o**2 + 1/8*o**4. Let x(l) be the first derivative of b(l). Find z, given that x(z) = 0.
2
Let j(n) be the first derivative of n**3 + 3*n**2/2 + 9. Factor j(z).
3*z*(z + 1)
Solve -17*o**3 - 6*o**3 + 26*o - 5*o**3 - 24 + 64*o**2 + 42*o = 0.
-1, 2/7, 3
Let r be ((-4)/10)/((-27)/(-15) - 2). What is v in 0 + 1/2*v + 1/2*v**r = 0?
-1, 0
Let i(p) = -p - 1. Let d(r) = 