+ 2*i. Solve q(z) = 0 for z.
-1, 20
Suppose -6*h = -3*h. Suppose 3*d = 8*d - 5*q - 15, h = 2*d - q - 6. Solve -5*v + 5*v + 4*v + 5*v**3 - 1 + v**2 - 9*v**d = 0 for v.
-1, 1/4, 1
Let h be (-88)/(-40) - ((-144)/(-30))/(-6). Factor -4/3*t**2 + 0 - 4/3*t**h + 0*t.
-4*t**2*(t + 1)/3
Let h(b) be the first derivative of -b**9/5040 + b**8/1400 - b**6/300 + b**5/200 - 3*b**3 - 5. Let s(n) be the third derivative of h(n). Factor s(u).
-3*u*(u - 1)**3*(u + 1)/5
Let t be 4 + -1 + ((-1)/(-4))/((-24)/288). Let 8/7*v - 2/7*v**4 + t - 6/7*v**3 + 0*v**2 = 0. Calculate v.
-2, 0, 1
Let d(h) = h**3 - 16*h**2 - 91*h - 292. Let t be d(21). Let -34/15*b**3 - 16/15 - 56/15*b - 68/15*b**t - 2/5*b**4 = 0. Calculate b.
-2, -1, -2/3
Let k(u) be the first derivative of -u**6/90 - u**5/10 - u**4/3 + 13*u**3/3 - 1. Let r(a) be the third derivative of k(a). Factor r(j).
-4*(j + 1)*(j + 2)
Suppose -4*l = -k - 24, 3*k + 2*k + 10 = -2*l. Let y = 24 - 19. Factor 4*p**l - 6*p**y - 2*p**4 - p**3 + p**5.
-p**3*(p + 1)**2
Let k be (4/(-6))/(3040/(-912)). Factor 2/5*u**2 + k*u - 1/5*u**3 - 2/5.
-(u - 2)*(u - 1)*(u + 1)/5
Let m(t) be the first derivative of 0*t**2 - 4*t + 4 + 4/3*t**3. What is b in m(b) = 0?
-1, 1
Let u(l) be the third derivative of -l**8/588 + 2*l**7/735 + l**6/70 - l**5/21 + l**4/21 + 94*l**2. Factor u(k).
-4*k*(k - 1)**3*(k + 2)/7
Let l be (0 + 2/(-30))/((351/(-30))/39). Factor 0 - 4/9*r**2 + 4/9*r**4 + 0*r**3 - l*r + 2/9*r**5.
2*r*(r - 1)*(r + 1)**3/9
Let l(r) be the first derivative of -1/12*r**3 - 9 - 4*r + r**2. Solve l(q) = 0.
4
Let w(n) be the second derivative of 0*n**3 + 1/85*n**5 - 1/255*n**6 + 0*n**2 - 1/102*n**4 + 0 + 2*n. Let w(a) = 0. What is a?
0, 1
Let a(x) = 2*x**2 + 308*x - 2352. Let z(w) = -w**2 - 102*w + 784. Let q(c) = -5*a(c) - 14*z(c). Find t, given that q(t) = 0.
14
Let z(v) = 17*v**2 + 461*v + 56. Let p be z(-27). Let -1/2 + 1/2*k**p - 1/2*k + 1/2*k**3 = 0. Calculate k.
-1, 1
Let f be 4/30 - (-2200)/375. Suppose -f = -5*w - 4*u, 6 = -4*u + 2. Solve 15*d**2 - 33*d**2 + 23*d**w - 3*d - 1 - 4*d**4 + 3*d**3 = 0.
-1, -1/4, 1
Let t be (7 - 5) + 0/3. Suppose 6 + 7*x - 2 + 0 + 3*x**t + x = 0. Calculate x.
-2, -2/3
Let z(x) be the third derivative of x**5/60 - 65*x**4/12 + 4225*x**3/6 + 112*x**2. Determine n, given that z(n) = 0.
65
Let n(y) be the first derivative of y**4/9 + 26*y**3/27 - 26*y**2/9 - 32*y/9 - 232. Factor n(b).
2*(b - 2)*(b + 8)*(2*b + 1)/9
Let x be (-3)/2*1704/(-1065). Determine j, given that 0 - 12/5*j + x*j**2 - 12/5*j**4 + 9/5*j**3 + 3/5*j**5 = 0.
-1, 0, 1, 2
Let l be (3/12)/((-22)/(-24)). Let y(c) be the second derivative of -1/33*c**4 - 7/33*c**3 - l*c**2 + 3*c + 0. Suppose y(v) = 0. What is v?
-3, -1/2
Suppose -9*z + 17 = -8*z. Suppose -15*m + z*m = 0. Factor 1/2*j**2 - 1/4*j - 1/2*j**4 + m*j**3 + 1/4*j**5 + 0.
j*(j - 1)**3*(j + 1)/4
Let x(n) = 15*n**4 - 879*n**3 + 3807*n**2 + 4833*n + 33. Let a(c) = -c**4 + 55*c**3 - 238*c**2 - 302*c - 2. Let y(d) = -33*a(d) - 2*x(d). Solve y(b) = 0.
-1, 0, 10
Let d = 443 + -440. Let o(m) be the first derivative of 0*m + 2 + 9/10*m**2 - 1/5*m**d. Factor o(l).
-3*l*(l - 3)/5
Let r = 6866 - 6863. Factor 1/4*t**2 - 5/8*t**4 + 3/4*t**r - 7/8*t + 1/8*t**5 + 3/8.
(t - 3)*(t - 1)**3*(t + 1)/8
Let i be 4*(-1 - 0) - 3472/(-864). Let q(s) be the second derivative of -i*s**4 + 1/27*s**3 - 1/90*s**5 + 2*s + 0 + 1/9*s**2. Factor q(c).
-2*(c - 1)*(c + 1)**2/9
Suppose 4*o = -0*o + 20. Factor 2*g**4 - 4*g**4 + 7*g**4 - 15*g**o.
-5*g**4*(3*g - 1)
Let m = -36 + 36. Let j(o) be the second derivative of 0 + m*o**2 + 1/78*o**4 + 1/195*o**6 - 3*o + 0*o**3 + 1/65*o**5. Determine r, given that j(r) = 0.
-1, 0
Let f(m) be the second derivative of -m**6/255 + 4*m**4/51 - 16*m**2/17 + 33*m + 4. Factor f(x).
-2*(x - 2)**2*(x + 2)**2/17
Let h(j) be the second derivative of 5/12*j**4 + j + 5/6*j**3 - 1/4*j**5 + 29 - 5/2*j**2. Determine c, given that h(c) = 0.
-1, 1
Solve 22 - 16 + 0 + 401*i + 65*i**2 + 34 - 131*i = 0 for i.
-4, -2/13
Solve -47/3*d**3 + 5/3*d**4 - 50/3 + 31*d**2 + 95/3*d = 0 for d.
-1, 2/5, 5
Suppose -2*c - 58*f = -55*f - 14, 4*c - 4*f = 8. Solve 4*l**4 - 24 + 124/3*l**2 + c*l - 76/3*l**3 = 0 for l.
-2/3, 1, 3
Let f = -3008/21 - -1005/7. Factor 0 + 1/3*n**2 - 1/3*n**3 - f*n**4 + 1/3*n.
-n*(n - 1)*(n + 1)**2/3
Let c(h) be the first derivative of -25*h**3 + 235*h**2/2 - 30*h + 86. What is i in c(i) = 0?
2/15, 3
Let g(t) be the first derivative of t**6/45 + t**5/30 - 3*t + 13. Let s(n) be the first derivative of g(n). Factor s(h).
2*h**3*(h + 1)/3
Let k = -14 + 23. Let a(m) = 2*m - 9. Let v be a(7). What is n in 4 - v*n**2 + 13*n**2 + 4*n**3 + 3*n + 4*n**2 + k*n = 0?
-1
Let b(l) be the third derivative of l**6/2700 - l**5/225 - l**3/3 + 3*l**2 - 5. Let s(x) be the first derivative of b(x). Find u such that s(u) = 0.
0, 4
Suppose 2*v + 3*w - 740 + 241 = 0, v - 3*w - 227 = 0. Let o = 242 - v. Let o - 3/2*x**2 - 6*x = 0. What is x?
-4, 0
Suppose 0 = -77*n + 79*n - 224. Let a = n - 109. Factor -3/2*m**2 + 3/2 + 3/4*m**a - 3/4*m.
3*(m - 2)*(m - 1)*(m + 1)/4
Let j be (-3 + -3 - 273/(-42))*0. Factor 1/2*v**2 + 1/2*v**4 + 0*v + j - v**3.
v**2*(v - 1)**2/2
Let l(q) be the second derivative of 5*q**7/42 - 2*q**6/3 + 5*q**5/4 - 5*q**4/6 - 10*q - 4. Factor l(c).
5*c**2*(c - 2)*(c - 1)**2
Find n, given that -2/23*n**3 + 12/23 + 14/23*n + 0*n**2 = 0.
-2, -1, 3
Factor 10 - 3922*f**3 + 54*f**2 + 3932*f**3 + 6 + 60*f.
2*(f + 1)*(f + 4)*(5*f + 2)
Let u(w) be the third derivative of w**8/140 + 13*w**7/350 - 17*w**6/200 - 17*w**5/100 + 13*w**4/40 + 2*w**3/5 + 50*w**2 + w. What is c in u(c) = 0?
-4, -1, -1/4, 1
Let w(q) be the second derivative of q**5/18 + 7*q**4/54 - 2*q**3/9 + 72*q. Factor w(u).
2*u*(u + 2)*(5*u - 3)/9
Let h(f) be the second derivative of 2*f**7/63 + 2*f**6/9 + 8*f**5/15 + 4*f**4/9 + 2*f + 5. Factor h(b).
4*b**2*(b + 1)*(b + 2)**2/3
Suppose 3*b = 5 - 2, 3*b - 3 = f. Let s(z) be the second derivative of 1/22*z**5 + 2*z - 1/66*z**4 + 1/77*z**7 + f*z**3 - 7/165*z**6 + 0 + 0*z**2. Factor s(i).
2*i**2*(i - 1)**2*(3*i - 1)/11
Suppose 2*q - 2 = 0, -3*q - 3 = -0*h - 3*h. Factor -35 + 35 + 4*l - l**h.
-l*(l - 4)
Let v(g) be the third derivative of 13*g**2 - 5/84*g**8 - 118/315*g**7 + 0*g + 44/45*g**5 - 8/9*g**4 + 0 + 8/45*g**6 + 0*g**3. Let v(h) = 0. What is h?
-4, -1, 0, 2/5, 2/3
Let f(y) = -y - 7. Let s be f(-11). Let m(p) be the first derivative of s - 2/15*p**3 - 18/5*p + 6/5*p**2. Factor m(c).
-2*(c - 3)**2/5
Let s = 256 + -252. Suppose m = s*f + 4*m - 14, 4*f + 2*m = 12. Determine n, given that 4/5*n**f + 16/5*n + 16/5 = 0.
-2
Let m(d) be the third derivative of 7*d**6/720 + 13*d**5/180 + 13*d**4/144 - d**3/6 + 16*d**2 + 3. Factor m(g).
(g + 1)*(g + 3)*(7*g - 2)/6
Let q(h) be the first derivative of -7*h**4/2 + 188*h**3 - 2880*h**2 + 1600*h - 104. Factor q(c).
-2*(c - 20)**2*(7*c - 2)
Let g(p) be the third derivative of -p + 7/480*p**6 + 1/840*p**7 - 5*p**2 + 0*p**4 + 0 + 0*p**3 + 0*p**5. Find k such that g(k) = 0.
-7, 0
Let v(t) be the third derivative of -3*t**6/80 - 41*t**5/20 - 79*t**4/12 - 26*t**3/3 + 24*t**2. Factor v(p).
-(p + 26)*(3*p + 2)**2/2
Let y = 1113/40 + -69/8. Suppose -j - 3*s + 21 = 2*j, -2 = -2*j + s. Factor 2/5*i**j + y*i - 24/5*i**2 - 128/5.
2*(i - 4)**3/5
Let b(g) be the second derivative of -g**4/16 + 13*g**3/8 + 45*g**2/4 - 617*g. Determine f so that b(f) = 0.
-2, 15
Suppose -3 = -3*k - 18, 0 = -4*n + 3*k - 33. Let w be (((-16)/n)/4)/(1/6). Find p such that -1/3*p**w + 4/3 + 4/3*p - 1/3*p**3 = 0.
-2, -1, 2
Let s be -96 + 2/(-2)*1. Let p be (-1 + 0)/(-1) - s. Factor -f**2 + f**4 + p - 98.
f**2*(f - 1)*(f + 1)
Let g(o) be the second derivative of -o**5/100 - o**4/6 - 7*o**3/30 + 9*o**2/5 + 66*o. Factor g(b).
-(b - 1)*(b + 2)*(b + 9)/5
Let f = 212 + -209. Let d(b) be the third derivative of -1/120*b**4 + 0 - 1/60*b**5 + 0*b + 1/30*b**f - 1/200*b**6 - 5*b**2. Let d(j) = 0. Calculate j.
-1, 1/3
Determine j so that 640/21 - 34/21*j**3 + 22/21*j**4 - 662/21*j**2 + 32/21*j + 2/21*j**5 = 0.
-8, -1, 1, 5
Suppose 0 = -5*j + 3*j - 4. Let a(s) = 2*s + 3*s**2 + 5 - 1 - 6 + 1. Let o(c) = -c**2 + 1. Let u(v) = j*o(v) - a(v). Factor u(t).
-(t + 1)**2
Let j be (-9)/2*(-4 + (-12)/(-9)). Factor -4 + 4*u + j*u**2 - 7*u + 9*u**3 - 2.
3*(u + 1)**2*(3*u - 2)
Let i(o) be the second derivative of o**5/10 - 23*