. Factor z(r).
r*(r + 24)/4
Factor 20 + 8*g**2 + 23*g + 3/4*g**3.
(g + 2)**2*(3*g + 20)/4
Factor -1/5*c**2 - 21/5*c + 9 + 1/5*c**3.
(c - 3)**2*(c + 5)/5
Let f(x) = x - 3. Let v be f(5). Determine d, given that -57*d - 13*d + 21*d**2 - 26*d**v = 0.
-14, 0
Let c be 4/(-38) + 767/247. Let j(g) be the second derivative of 3/20*g**5 - 7/20*g**6 + 0*g**2 + 7/8*g**4 + 0 - 1/2*g**c + 9*g. Solve j(f) = 0.
-1, 0, 2/7, 1
Factor 24*x**3 + 76*x - 9*x**4 + 33 + 89*x**2 - 83 + 70.
-(x - 5)*(x + 1)*(3*x + 2)**2
Let k(h) be the second derivative of 0*h**2 - 1/315*h**6 + 10 - 4*h - 2/105*h**5 - 1/126*h**4 + 2/21*h**3. Find j, given that k(j) = 0.
-3, -2, 0, 1
Let v be (-31)/(1116/(-828)) + -23. Let 0 - 1/4*j**4 + v*j - 1/4*j**2 - 1/2*j**3 = 0. Calculate j.
-1, 0
Solve -h + 2*h**3 - 9*h - 12*h**2 - 16*h + 84 = 0.
-3, 2, 7
Let s(u) be the third derivative of u**5/270 - 287*u**4/108 + 2804*u**2. Factor s(t).
2*t*(t - 287)/9
Find j, given that 196*j - 54*j**3 - 280*j**2 + 114*j**3 + 40*j**3 = 0.
0, 7/5
Let n be -30*(-15)/(-18)*-1 + 0. Suppose -n*c**4 - 10*c**3 - 145 + 15*c**2 + 70 + 75 = 0. Calculate c.
-1, 0, 3/5
Let q(z) be the first derivative of -z**6/10 + 9*z**5/20 - z**4/2 + 44*z - 28. Let b(c) be the first derivative of q(c). Suppose b(l) = 0. What is l?
0, 1, 2
Suppose -109*i = 1933*i - 70*i - 3944. Factor -4/3 + 1/3*q**4 + 5/3*q**3 - 1/3*q**5 - 8/3*q - 1/3*q**i.
-(q - 2)**2*(q + 1)**3/3
Let i = 2200 - 2195. Let v = -3 + 18. Suppose -6 + i*y**3 + v*y**2 - 4 + 10 = 0. What is y?
-3, 0
Suppose d - 4 = 4*x - 16, -2*x + 6 = -d. Suppose 5*a - 3*a**3 + 6*a - 2*a - 17*a**2 - 19*a + 0*a**x = 0. What is a?
-5, -2/3, 0
Suppose 7*w - 410 + 88 = 0. Suppose w = 2*d + d - v, 5 = -5*v. Solve 10*o**2 - 15*o**3 + 12*o**2 - 3*o + 8*o**2 + d*o**5 - 6 - 24*o**4 + 3*o**3 = 0 for o.
-1, -2/5, 1
Let z(b) be the third derivative of 5*b**8/48 + 9*b**7/14 - 11*b**6/24 - 9*b**5/4 + 5*b**4/6 - 2*b**2 - 155. Determine y so that z(y) = 0.
-4, -1, 0, 1/7, 1
Suppose -1940*t + 1737*t = -2436. Let -3/2*n**3 + t + 6*n - 3*n**2 = 0. Calculate n.
-2, 2
Let f = -53 + 55. Factor -5*p**3 - 38*p + 24 + p**2 + 3*p**3 + 0*p**3 + 15*p**f.
-2*(p - 4)*(p - 3)*(p - 1)
Let y(n) be the second derivative of n**7/5040 - 11*n**6/1440 + 7*n**4/4 + 2*n + 12. Let q(r) be the third derivative of y(r). Factor q(v).
v*(v - 11)/2
Let l(q) = 21*q + 21. Let t = -863 + 862. Let s be l(t). Solve -1/6*f**2 - 1/6*f**3 + 0*f + s = 0 for f.
-1, 0
Let h(n) be the first derivative of -2*n**3/9 + 103*n**2/3 + 208*n/3 - 255. Suppose h(a) = 0. What is a?
-1, 104
Let v be 4 + -2 + (-57840)/336. Let x = -169 - v. Determine a so that -2/7*a**2 + x*a + 0 = 0.
0, 4
Let y(b) = -91*b - 83. Let t(d) = -183*d - 168. Let r(z) = 5*t(z) - 9*y(z). Let g(o) = o**2 + 194*o + 186. Let i(k) = 3*g(k) + 7*r(k). Factor i(n).
3*(n - 31)*(n + 1)
Suppose 8 = -3*c + 23. Let b(a) = a**2 - 6*a + 10. Let m be b(c). Suppose -9 + 7 + m*s**2 + 1 + 11 + 15*s = 0. What is s?
-2, -1
Let t = -1664 - -2353. Let y = 689 - t. Factor y*h**4 - 1/3*h**5 + 1/3*h**3 + 0 + 0*h**2 + 0*h.
-h**3*(h - 1)*(h + 1)/3
Let n(f) be the second derivative of -f**5/30 + 382*f**4/9 - 3044*f**3/9 + 3040*f**2/3 + 3485*f. Factor n(b).
-2*(b - 760)*(b - 2)**2/3
Let -12 + 12*s**3 - 12/7*s + 9/7*s**4 + 21*s**2 = 0. What is s?
-7, -2, -1, 2/3
Let p(z) = 2*z**3 - 25*z**2 - 13*z + 12. Suppose -2*u + 22 = -4. Let o be p(u). Factor 19*a - 8*a**2 + 14*a**3 - 30*a - 23*a - 24*a**2 + o.
2*(a - 3)*(a + 1)*(7*a - 2)
Suppose 4*h + 14*l = 17*l - 19, -1 = 4*h - l. Find o such that 1/2 + 0*o - 3/8*o**h - 1/8*o**3 = 0.
-2, 1
Let 8*c - 2/9*c**2 + 320/9 = 0. What is c?
-4, 40
Let o(j) be the second derivative of 47*j**4/4 + 375*j**3/2 - 12*j**2 - 9886*j. Factor o(d).
3*(d + 8)*(47*d - 1)
Suppose -3*v = 33*v - 432. Let j(l) be the first derivative of 9/14*l**2 - 3/7*l - 1/14*l**6 - v + 9/35*l**5 - 2/7*l**3 - 3/14*l**4. Let j(t) = 0. Calculate t.
-1, 1
Let g(m) be the third derivative of 1/5*m**4 - 11/900*m**6 - 4/75*m**5 + 0 - 10*m + 0*m**3 - 1/1575*m**7 - 15*m**2. Determine l so that g(l) = 0.
-6, 0, 1
Let h(d) = 28*d**2 - 1732*d - 12320. Let p(x) = -5*x**2 + 346*x + 2464. Let j(r) = -3*h(r) - 16*p(r). Factor j(v).
-4*(v + 8)*(v + 77)
Let v(q) = 56*q + 334. Let i(w) = 18*w + 112. Let c(a) = 11*i(a) - 4*v(a). Let f be c(-4). Factor f - 1/8*b**3 + 0*b + 1/8*b**4 + 0*b**2.
b**3*(b - 1)/8
Let l(g) = -72*g + 6. Let s be l(-1). Let t be s/24 - 1/4. Factor -6/5*p**t - 12/5*p + 13/5*p**2 + 4/5 + 1/5*p**4.
(p - 2)**2*(p - 1)**2/5
Factor -1437*n**4 + 735*n**4 + 147*n**3 + 716*n**4 - n**5.
-n**3*(n - 21)*(n + 7)
Let 64076 - 64076 - r**2 - 164*r = 0. What is r?
-164, 0
Let c = -489989 + 490019. Let 0*d + 70*d**2 + 0 - c*d**3 - 5/2*d**4 = 0. What is d?
-14, 0, 2
Let m(d) be the second derivative of -3*d**2 + 147/20*d**5 - 21*d - 27/2*d**3 + 1 - 21*d**4. Factor m(v).
3*(v - 2)*(7*v + 1)**2
Let b = 833329 - 4166643/5. Factor 32/5 - 4*d**3 + b*d**4 - 16*d + 66/5*d**2.
2*(d - 4)**2*(d - 1)**2/5
Let b(n) = -50 + 2842*n - 2871*n - 93. Let h be b(-5). Suppose 2/3*i + 2*i**3 - 2/3 + 10/3*i**h = 0. Calculate i.
-1, 1/3
Let z(l) be the third derivative of -1/660*l**6 + 0*l**3 - 1/1848*l**8 - 4/55*l**5 + 2/385*l**7 - 4/33*l**4 + l + 0 - 4*l**2. Let z(h) = 0. Calculate h.
-1, 0, 4
Let q(g) = 8*g**2 - 86*g + 10. Let y be (1 + -6)*(-3)/((-75)/10). Let p(i) = 2*i. Let z(u) = y*q(u) - 44*p(u). Factor z(c).
-4*(c - 5)*(4*c - 1)
Let c be (2/3)/1 - 996/(-18). Find h such that -92*h - 23*h**2 + 32*h**2 - 21*h**2 - c = 0.
-7, -2/3
Let u(y) = -y**3 + 7*y**2 - 4*y - 9. Let c be u(6). Factor 720*a**2 + 120*a**c + 10*a**4 - 2*a**4 - 3*a**4 + 0*a**4.
5*a**2*(a + 12)**2
Let u be ((-28)/6)/(12/(-18)) + -2. Let k(n) be the second derivative of 1/10*n**4 + 1/5*n**2 + 1/50*n**u + 1/5*n**3 + 0 - 30*n. Solve k(h) = 0 for h.
-1
Let v be (-10)/(-2) + 36/(-12). Determine t so that 13*t - 5*t**v + 5*t + 12*t = 0.
0, 6
Determine c, given that 169*c**4 - c**2 + 7*c**2 + 2500*c**3 - 174*c**4 - 6*c**2 = 0.
0, 500
Suppose 0 = 11*w - 12*w + 10. Suppose 0 = -5*h - 15, 0*s - 2*h = -s + w. Factor 8*a**3 + 10*a**2 - 5*a**2 - 13*a**2 + 4*a**5 - 12*a - s + 12*a**4.
4*(a - 1)*(a + 1)**4
Suppose 327*u - 3*r - 18 = 322*u, -3*u + 3*r = -18. Let q be (-3)/(-3*(-5)/(-2)). Determine v, given that u + 2/5*v**3 - q*v + 0*v**2 = 0.
-1, 0, 1
Let o(c) be the third derivative of -c**5/120 + 2287*c**4/24 - 5230369*c**3/12 - 6*c**2 - 851*c. Solve o(z) = 0 for z.
2287
Let a be (((-160)/14)/2)/((-39425)/66234). Factor 2/5*p**4 + a*p + 4*p**3 + 56/5*p**2 + 0.
2*p*(p + 2)**2*(p + 6)/5
Let x(v) be the second derivative of -43/27*v**4 + 1/45*v**6 + 0 + 18*v - 16/45*v**5 - 64/27*v**3 - 13/9*v**2. What is n in x(n) = 0?
-1, -1/3, 13
Suppose -2301 = 259*t - 861*t + 709. What is x in 74/17*x**4 - 80/17*x**2 + 24/17*x**t - 20/17*x**3 - 4/17*x + 6/17 = 0?
-3, -1, -1/3, 1/4, 1
Let i(p) = 3*p**2 + 2136*p + 393150. Let d(f) = 6*f - 3. Let t(v) = -6*d(v) - i(v). Suppose t(h) = 0. Calculate h.
-362
Let z(h) be the third derivative of 88*h**2 + 0*h**4 + 0*h - 1/300*h**6 + 0 + 0*h**3 - 2/225*h**5 + 1/1575*h**7. Solve z(m) = 0.
-1, 0, 4
Let b(u) be the first derivative of -5*u**6/6 + 11*u**5 + 925*u**4/4 + 875*u**3 - 1932. Suppose b(h) = 0. Calculate h.
-5, 0, 21
Let d(h) = 26*h + 95. Let t be d(2). Factor -t*r + 2*r**4 - 54*r**2 + 344*r - 89*r.
2*r*(r - 3)**2*(r + 6)
Let v(s) be the first derivative of -2*s**5/5 - 23*s**4/2 - 370*s**3/3 - 625*s**2 - 1500*s + 6105. Factor v(b).
-2*(b + 3)*(b + 5)**2*(b + 10)
Let n(j) = 2*j - 13. Let a be n(10). Suppose 3*i = f - a - 5, f = i + 16. Suppose -f*m**2 + 0*m**5 + 2*m**4 + 2*m**5 - 2*m**3 + 16*m**2 = 0. Calculate m.
-1, 0, 1
Let r(m) be the third derivative of -m**2 + 0 + 3/40*m**6 - 1/12*m**5 - 73*m - 2/3*m**4 + 1/210*m**7 + 2*m**3 - 1/336*m**8. Factor r(i).
-(i - 3)*(i - 1)**2*(i + 2)**2
Suppose f = -4*n + 20, n - 3*n - 78 = -5*f. Suppose 19*v + f - 16 = 0. Factor v + 0*m + 2/7*m**4 + 0*m**2 - 2/7*m**3.
2*m**3*(m - 1)/7
Let b = 233 + -230. Let x = 2/913 - -1820/2739. Factor 0 - c**2 + x*c + 1/3*c**b.
c*(c - 2)*(c - 1)/3
Let t(v) = -6*v**4 + 94*v**3 + 134*v**2 + 82*v - 6. Let x(z) = 4*z**4 - 87*z**3 - 134*z**2 - 83*z + 5. Let q(l) = 5*t(l) + 6*x(l). Find r, given that q(r) = 0.
-4, -11/3, -1, 0
Let f(a) be the second derivative of a**6/30 - a**5/5 + a*