vative of -d**5/30 + 7*d**4/4 + 22*d**3/3 - 85*d**2. Factor b(t).
-2*(t - 22)*(t + 1)
Suppose -38*a + 0*a + 5*a = 0. Let a*n - 2/3*n**4 + 0 - 4/15*n**2 - 14/15*n**3 = 0. What is n?
-1, -2/5, 0
Let r(c) be the first derivative of 3*c**4/20 - 93*c**3/5 + 138*c**2/5 + 570. Factor r(v).
3*v*(v - 92)*(v - 1)/5
Suppose -v = -3*k - 1, 0 = -k + 19*v - 13*v - 40. What is p in 1/2*p + 1 - 1/2*p**k = 0?
-1, 2
Let r = 905 + -905. Factor 0 + 0*k**2 + 1/2*k**5 + 1/2*k - k**3 + r*k**4.
k*(k - 1)**2*(k + 1)**2/2
Let w be 17 + -1 + 48*10/(-40). Factor -2*x**2 + 1/3 - x**w + 0*x + 8/3*x**3.
-(x - 1)**3*(3*x + 1)/3
Factor -1796*m**4 + 3338*m**3 + 1420*m**5 + 2630*m**5 + 33*m**2 - 5944*m**4 + 311*m**2 + 8*m.
2*m*(m - 1)**2*(45*m + 2)**2
Let a(y) be the second derivative of 9/8*y**2 + 0 + 18*y + 1/32*y**4 + 5/16*y**3. Factor a(t).
3*(t + 2)*(t + 3)/8
Suppose 17*w - 60 = -3*w. Suppose 2*i - 20 = -w*i. Factor -3/2*y**2 - 3/2*y**3 + 3/2*y**i + 0 + 3/2*y.
3*y*(y - 1)**2*(y + 1)/2
Let y(q) be the third derivative of -27*q**2 + 375/2*q**3 + 0 - 25/4*q**4 + 1/12*q**5 + 0*q. Suppose y(c) = 0. Calculate c.
15
Let v(d) = d**2 + 11*d - 8. Let w be v(-12). Let l = 1401/430 - 5/86. Solve -8/5*r**2 + 2/5*r**w + l*r - 4/5*r**3 + 0 = 0 for r.
-2, 0, 2
Let b(l) be the third derivative of -l**6/30 - 98*l**5/15 - 97*l**4/6 - 17*l**2 - 10. Let b(j) = 0. What is j?
-97, -1, 0
Let x be (-2)/(84/18) + 94/7. Suppose 0 = -6*y + x*y. Find c, given that 0 - 6/7*c**4 + 3/7*c**5 + 0*c + 3/7*c**3 + y*c**2 = 0.
0, 1
Let b(x) be the second derivative of 0 - x + 5/6*x**3 - 5/12*x**4 + 0*x**2. Find m such that b(m) = 0.
0, 1
Let s = 94228/3 + -31409. Factor -1/3*z**4 + 0 + s*z**2 + 0*z + 0*z**3.
-z**2*(z - 1)*(z + 1)/3
Factor z**2 + 47 - 17 - 4*z**2 + 27*z.
-3*(z - 10)*(z + 1)
Let l(c) be the second derivative of -c**4/48 - 59*c**3/6 - 3481*c**2/2 + 604*c. Factor l(r).
-(r + 118)**2/4
Let b(p) be the first derivative of -4*p**5/5 + 7*p**4 - 56*p**3/3 + 16*p**2 - 53. Factor b(d).
-4*d*(d - 4)*(d - 2)*(d - 1)
Let y(u) be the third derivative of u**5/660 - 5*u**4/88 + 13*u**3/33 + 639*u**2. Find z, given that y(z) = 0.
2, 13
Find g such that -54/17*g**2 - 16/17 - 10/17*g**3 - 60/17*g = 0.
-4, -1, -2/5
Let u(f) be the second derivative of 121*f**5/90 - 11*f**4/9 + 4*f**3/9 - f**2 + 19*f. Let k(v) be the first derivative of u(v). Solve k(n) = 0.
2/11
Let r(t) = -t**3 + 3*t**2 - 7*t - 5. Let z(k) = -k**3 + 3*k**2 - 6*k - 4. Let c(x) = 5*r(x) - 6*z(x). Let n be c(3). Factor -12 + 12 + n*v**2.
2*v**2
Let b(f) be the third derivative of -f**5/15 - 17*f**4/6 + 12*f**3 - f**2 - 53. Determine y so that b(y) = 0.
-18, 1
Suppose 0 = 102*g + 64 - 83 - 185. What is t in 6/5*t + 3*t**g + 0 = 0?
-2/5, 0
Suppose 3*r = -13 + 13. Let b(l) be the third derivative of -1/270*l**5 + r - 4/27*l**3 - 1/27*l**4 + 7*l**2 + 0*l. Factor b(d).
-2*(d + 2)**2/9
Let u(a) = 10*a + 25. Let q(x) = x**2 - x + 1. Let j(r) = -r**3 - 4*r**2 + 3*r + 13. Let c be j(-3). Let o(l) = c*q(l) + u(l). Solve o(v) = 0.
-1, 4
Let x(g) be the third derivative of -7*g**6/60 + 47*g**5/30 - 35*g**4/6 - 8*g**3 + 224*g**2. Factor x(z).
-2*(z - 4)*(z - 3)*(7*z + 2)
Factor -35100*b**2 - 16/13 - 360*b - 1140750*b**3.
-2*(195*b + 2)**3/13
Let c(a) be the third derivative of -1/3*a**3 - 10*a**2 + 1/210*a**7 + 1/40*a**6 + 0 - 1/8*a**4 + 0*a + 1/60*a**5. Factor c(l).
(l - 1)*(l + 1)**2*(l + 2)
Let g(u) = -u**3 + 3*u**2 - 11*u - 27. Let l = 5 - 13. Let i(q) = -2*q**3 + 4*q**2 - 16*q - 40. Let t(y) = l*g(y) + 5*i(y). Let t(r) = 0. Calculate r.
-2, 2
Let y(q) = 191*q + 382. Let t be y(-2). Find o, given that 2/5*o**2 - 2/5*o + t = 0.
0, 1
Let z(t) = 6*t**2 + 240 - 242 - 3*t**2. Let u(b) = -b**2 + 1. Let h(k) = -6*u(k) - 3*z(k). What is o in h(o) = 0?
0
Let m be 1 + 0 + (2 - (-1 + 1)). Let v be 48/(-36)*m/(-14). Factor -v - 2/7*g**2 + 4/7*g.
-2*(g - 1)**2/7
Let p(i) be the second derivative of 5*i**7/42 - 2*i**6/3 - 3*i**5/4 + 35*i**4/6 - 20*i**3/3 + 49*i + 2. Factor p(n).
5*n*(n - 4)*(n - 1)**2*(n + 2)
Let i = 149 - 145. Let c(q) = -q**5 + 3*q**3. Let o(j) = -5*j**5 + 16*j**3. Let y(w) = i*o(w) - 22*c(w). Suppose y(d) = 0. Calculate d.
-1, 0, 1
Factor 2*i**2 - 3*i**2 - 8*i + 4*i**2 + 8 - i**2.
2*(i - 2)**2
Let t = -10 + 32. Let z = t - 22. Determine j, given that 250/7*j**4 + z - 16/7*j - 300/7*j**3 + 120/7*j**2 = 0.
0, 2/5
Let u be -35*(-6 - (-816)/150). Let h = 20 - u. Factor 0*o + 2/5 - h*o**2.
-2*(o - 1)*(o + 1)/5
Let h(r) be the second derivative of 0 + 0*r**2 - 1/54*r**4 - 1/180*r**5 - 6*r + 0*r**3. Factor h(a).
-a**2*(a + 2)/9
Let g be -3*(-2 - 10/15 - -2). Let p = g - -1. Let 0*v + 1/2*v**p + 0 + 1/4*v**2 = 0. Calculate v.
-1/2, 0
Suppose 2*l - 3 = g, 4*l = 6*g - 3*g + 5. Let c(m) = m**3 - m**2 + m - 1. Let q(w) = -4*w**3 + w**2 - 4*w + 3. Let k(z) = g*q(z) + 3*c(z). Factor k(j).
-j*(j + 1)**2
Let b(d) be the second derivative of 20*d**7/189 - 22*d**6/45 + 13*d**5/15 - 19*d**4/27 + 2*d**3/9 - 199*d. Factor b(k).
4*k*(k - 1)**3*(10*k - 3)/9
Suppose 5*y - 4*y - 22 = 0. Let v = y - 19. Find d, given that -77*d**2 + v + 6*d + 147*d**2 - 67*d**2 = 0.
-1
Let g be 2*-4*2/(-16). Let a be (-6)/3 + 5 - g. Suppose 1 - 5 + 4 + 6*r + a*r**2 + 4 = 0. What is r?
-2, -1
Let f be (-3 - (-10 + 2))*8/10. Let 0 + 1/3*z - 1/3*z**3 + 3/2*z**2 - 3/2*z**f = 0. Calculate z.
-1, -2/9, 0, 1
Let n(d) be the third derivative of -1/30*d**5 + 20*d**2 - d**3 + 0*d + 1/3*d**4 + 0. Factor n(u).
-2*(u - 3)*(u - 1)
Factor -g**3 + 0 + 0*g + 1/4*g**5 - g**2 + 1/4*g**4.
g**2*(g - 2)*(g + 1)*(g + 2)/4
Let c(o) be the first derivative of 3 + 2/3*o**3 + 1/5*o**2 - 4/5*o + 1/5*o**4. Factor c(q).
2*(q + 1)*(q + 2)*(2*q - 1)/5
Let y = 124 - 119. Let p(j) be the third derivative of -1/30*j**6 + 1/15*j**y + 0*j + 0 - 6*j**2 + 1/3*j**4 + 0*j**3. Let p(t) = 0. What is t?
-1, 0, 2
Let g(a) be the third derivative of -9*a**2 + 1/57*a**3 + 1/190*a**5 - 1/1140*a**6 - 1/76*a**4 + 0 + 0*a. Factor g(c).
-2*(c - 1)**3/19
Let b(h) be the third derivative of 0*h**5 + 0*h**3 - 1/168*h**8 + 0*h**7 - 4*h**2 + 1/60*h**6 + 0*h + 0 + 0*h**4. Find w such that b(w) = 0.
-1, 0, 1
Let b = -221/5 - -44. Let m = 2/15 - b. Solve -m*w + 0 + 1/3*w**2 = 0 for w.
0, 1
Let j(u) be the third derivative of u**8/84 - 8*u**7/315 - 37*u**6/135 - 16*u**5/27 - 31*u**4/54 - 8*u**3/27 + 83*u**2. What is l in j(l) = 0?
-1, -1/3, 4
Let o(u) = 54*u**4 - 720*u**3 - 3039*u**2 - 4101*u - 1689. Let f(d) = -5*d**4 + 72*d**3 + 304*d**2 + 410*d + 169. Let z(k) = -21*f(k) - 2*o(k). Factor z(m).
-3*(m + 1)**2*(m + 3)*(m + 19)
Suppose t - 24 = 4*x - 103, 2*x + t = 47. Suppose 4*l - 5 = n, 5*n + 6 = x. Suppose -1/2*d - 1/2*d**l + 0 = 0. Calculate d.
-1, 0
Factor 5/2 + 19/4*d + 1/4*d**5 - 2*d**4 - 5*d**3 - 1/2*d**2.
(d - 10)*(d - 1)*(d + 1)**3/4
Find i, given that -22/7*i**2 + 236/7*i + 66/7 = 0.
-3/11, 11
Let j = -2448 - -80794/33. Let f = 139/132 - j. Factor -3/4*g**2 - f*g**3 + 0*g + 0.
-3*g**2*(g + 1)/4
Factor 4*q**3 - 12*q**2 - 7*q**2 - 272 - 12*q**2 - 21*q**2 - 256*q.
4*(q - 17)*(q + 2)**2
What is h in -8/3*h**3 + 20/9*h**2 + 4/3*h**4 - 2/3*h - 2/9*h**5 + 0 = 0?
0, 1, 3
Let r(s) = 20*s**3 + 100*s**2 + 184*s + 128. Let j(f) = 4*f**3 + 20*f**2 + 37*f + 26. Let w(a) = -24*j(a) + 5*r(a). Solve w(y) = 0 for y.
-2, -1
Let j(c) be the second derivative of 3*c**5/20 - 7*c**4/4 + 3*c**3 - 48*c. What is x in j(x) = 0?
0, 1, 6
Suppose 0 = 2*n + 10, 145*c - 4*n = 146*c + 20. Let s(q) be the third derivative of 7*q**2 + c*q + 1/80*q**5 + 0 - 1/16*q**4 + 1/8*q**3. Factor s(i).
3*(i - 1)**2/4
Let k be (-1 + -3 - -6)*3538/(-16). Let d = -440 - k. Let -3/2*t**3 - 3/4*t + 0 + d*t**2 = 0. What is t?
0, 1/2, 1
Suppose -i + 2 = -2. Let m be i/(-14) - (-46)/14. Factor 3*s**4 - 3*s**2 + 20*s**3 - 20*s**m.
3*s**2*(s - 1)*(s + 1)
Let n(f) be the third derivative of f**9/120960 + f**8/5760 + f**7/672 + f**6/160 + f**5/10 - 5*f**2. Let h(c) be the third derivative of n(c). Solve h(j) = 0.
-3, -1
Factor -6640/3*b**4 - 42592/3 - 1123144/3*b**2 + 100/3*b**5 + 431728/3*b + 147844/3*b**3.
4*(b - 22)**3*(5*b - 1)**2/3
Factor -104 - r**2 + 46 - 31*r + 0*r**2.
-(r + 2)*(r + 29)
Let z(c) = c**3 - 16*c**2 + 54*c + 13. Let s be z(11). Factor -s*i + 8/3 - 2/3*i**2.
-2*(i - 1)*(i + 4)/3
Suppose -9*z + 833 + 490 = 0. Let a be -2*(-5 - z/(-30)). Factor 0*g + 0 + 1/5*g**2 - a*g**3.
-g**2