z) = z**2 + 3. Let m(p) = 232*p - 216. Let f(b) = m(b) - 4*t(b). Suppose f(h) = 0. Calculate h.
1, 57
Suppose -12 = -4*n + 8. Factor -7*a**2 + 32*a**4 + 11*a**2 + 3*a**5 + 11*a**n + 22*a**3.
2*a**2*(a + 1)**2*(7*a + 2)
Let d(j) be the second derivative of -5/42*j**7 + 5/3*j**3 + 3/4*j**5 - 25/12*j**4 + 1/6*j**6 + 0*j**2 + 0 - 4*j. What is p in d(p) = 0?
-2, 0, 1
Determine i, given that 516*i - 60*i**4 - 145 - 2086*i**5 - 582*i**2 - 10 + 2089*i**5 + 291*i**3 - 13 = 0.
1, 2, 14
Let s = 21296/5 - 4258. Find n, given that -6/5 + 3/5*n**3 - 3/5*n + s*n**2 = 0.
-2, -1, 1
Let r(w) be the third derivative of -w**10/15120 - w**9/3780 + w**8/840 + 2*w**7/315 - w**4/8 + w**2. Let d(b) be the second derivative of r(b). Factor d(y).
-2*y**2*(y - 2)*(y + 2)**2
Let b(q) be the first derivative of 5*q**3/3 + 760*q**2 + 115520*q - 90. Let b(u) = 0. Calculate u.
-152
Factor 8/7 + 95/7*f**2 + 37/7*f**4 + 46/7*f + 5/7*f**5 + 89/7*f**3.
(f + 1)**3*(f + 4)*(5*f + 2)/7
Let f = -85 + 131. Let k be (-2)/(-7) - (-3 - f/(-14)). What is d in 4/7*d**4 + 0*d + 0 + 2/7*d**5 + 2/7*d**3 + k*d**2 = 0?
-1, 0
Let z(m) be the first derivative of 11*m + 5 + 0*m**4 + 0*m**2 - 1/12*m**3 + 1/40*m**5. Let a(l) be the first derivative of z(l). Factor a(p).
p*(p - 1)*(p + 1)/2
Let p(f) be the first derivative of -f**7/420 + f**6/90 - 7*f**3/3 + 20. Let d(y) be the third derivative of p(y). Let d(n) = 0. Calculate n.
0, 2
Let r = 25 - 23. Factor 1222*m**4 + 12*m**2 - 14*m**3 - 1222*m**4 + r*m**5.
2*m**2*(m - 2)*(m - 1)*(m + 3)
Let v(u) = 12*u**5 + 75*u**4 + 81*u**3 + 18*u**2 + 15. Let i(j) = 3*j**5 + 19*j**4 + 20*j**3 + 4*j**2 + 4. Let a(y) = -15*i(y) + 4*v(y). Factor a(l).
3*l**2*(l + 1)*(l + 2)**2
Let z(y) = y**3 - 6*y**2 + 2*y + 9. Let o(j) = j**2 - 1. Let u(a) = 2*o(a) + 2*z(a). Factor u(f).
2*(f - 4)*(f - 2)*(f + 1)
Let o(h) = 50*h + 69. Let k be o(27). Let s be (-9)/5*(-430)/k. Factor -s*c - 2/11*c**3 + 0 + 10/11*c**2 - 2/11*c**4.
-2*c*(c - 1)**2*(c + 3)/11
Suppose -12*k + 15*k + 516 = 0. Let v = k + 1206/7. Determine n, given that 4/7*n - 2/7*n**2 - v = 0.
1
Solve -6/5*f**4 - 210 + 156*f - 12/5*f**3 + 288/5*f**2 = 0.
-5, 1, 7
Suppose s - 14 = -4*p - s, -3*p + 8 = 2*s. Suppose -p - 3 = -3*q. Factor 0*z**5 - 6*z**4 - 3 + q + 9*z**5.
3*z**4*(3*z - 2)
Let s be (6/9)/((-90)/(-27)). Factor -1/5*g**2 + 2/5*g + s - 2/5*g**3.
-(g - 1)*(g + 1)*(2*g + 1)/5
Let v(x) = 21*x**3 + 35*x**2 + 13*x - 13. Let t(j) = 41*j**3 + 69*j**2 + 25*j - 23. Let b(q) = 3*t(q) - 5*v(q). Determine m so that b(m) = 0.
-1, 2/9
Let q(y) = -11*y**2 - 3*y - 6. Let p(h) = -h**2 - h - 1. Let i = -65 - -59. Let z(d) = i*p(d) + q(d). Factor z(r).
-r*(5*r - 3)
Let m(j) be the third derivative of -j**6/270 - j**5/5 - 77*j**4/18 - 1210*j**3/27 - 142*j**2. Let m(o) = 0. What is o?
-11, -5
Let u be (-1)/(-4) + 188/16. Suppose -4*t + u = -0*t. Determine f, given that 3*f**t + 9*f**4 - 2*f**5 + 4*f**5 + 4*f**5 = 0.
-1, -1/2, 0
Find t, given that -2/7*t**2 - 46/7*t + 48/7 = 0.
-24, 1
Let q = 9/1562 - -25/142. Factor -8/11*z**2 - 8/11*z - q.
-2*(2*z + 1)**2/11
Let j(b) be the second derivative of b**4/6 + 30*b**3 + 2025*b**2 + 3*b - 14. Find l such that j(l) = 0.
-45
Suppose 2*m - 3*i + 12 = 0, 4*m + 3*i = 9 - 33. Let y be 65/52 + m/(-8). Factor 25/4*p**3 + 6*p + 1 + 45/4*p**y.
(p + 1)*(5*p + 2)**2/4
Let h(l) be the first derivative of 10*l**6/3 + 64*l**5 + 1805*l**4/4 + 4075*l**3/3 + 2875*l**2/2 + 625*l + 337. Factor h(b).
5*(b + 5)**3*(2*b + 1)**2
Suppose 0 = -7*v + 3*v - 72. Let m be 3*-3*8/v. Factor -2*c**2 + 4*c + m*c**3 + 2*c**2 - 8*c**2.
4*c*(c - 1)**2
Let a be -5 - 4/((-720)/1194). Let z = -3/10 + a. Determine l, given that 4*l + 4/3 + z*l**3 + 4*l**2 = 0.
-1
Let c(h) be the second derivative of -h**7/12 - 29*h**6/30 - 23*h**5/5 - 34*h**4/3 - 44*h**3/3 - 8*h**2 - 32*h. Factor c(z).
-(z + 2)**4*(7*z + 2)/2
Suppose x - 340 + 122 = 0. Let a = x + -1960/9. Factor -2/9*j**4 + a*j**3 + 0*j + 0*j**2 + 0.
-2*j**3*(j - 1)/9
Find i, given that -19/3*i**3 + 90 - 99*i + 39*i**2 + 1/3*i**4 = 0.
3, 10
Let z = -1007 + 1011. Let s(j) be the third derivative of 1/3*j**z + 0 + 0*j - 5*j**2 + 3/5*j**5 + 0*j**3. Let s(q) = 0. What is q?
-2/9, 0
Let s(g) = g**4 + g**3 - g**2 - 1. Let o(d) = -3*d**4 + 148*d**3 - 1404*d**2 + 936*d + 323. Let p(i) = -o(i) + s(i). Suppose p(w) = 0. What is w?
-1/4, 1, 18
Let r(t) be the second derivative of t**3/6 + 4*t**2 - 2*t. Let g be r(-6). Factor -7*u - u**2 + g + u + 3*u - 4*u**2.
-(u + 1)*(5*u - 2)
Solve 2/9*d**2 - 217/9*d + 12 = 0.
1/2, 108
Suppose 3*w + 4*k + 21 = -0*w, 4*w = 4*k. Let i be -3 + (-24)/w + -2. Suppose -3*y**2 + i - 14 - 31 + 24*y - 6 = 0. What is y?
4
Solve -8/7*w**2 - 16/7*w + 2/7*w**5 + 10/7*w**4 + 12/7*w**3 + 0 = 0 for w.
-2, 0, 1
Let s(r) be the second derivative of -r**4/18 - 61*r**3/9 - 118*r**2/3 + 190*r + 1. Factor s(l).
-2*(l + 2)*(l + 59)/3
Let p(z) = 2*z**2 + 23*z + 50. Let k be p(-9). Let n(d) be the third derivative of 1/30*d**k + 0 - 1/3*d**3 + 0*d**4 - 2*d**2 + 0*d. Find w such that n(w) = 0.
-1, 1
Let h = -505 + 513. Let v(u) be the third derivative of -h*u**2 + 0 + 1/44*u**4 - 2/33*u**3 - 1/330*u**5 + 0*u. Let v(f) = 0. Calculate f.
1, 2
Let z = 32 - 63/2. Suppose 615*o = 624*o - 27. Let 0 + 1/3*r + 1/6*r**o - z*r**2 = 0. Calculate r.
0, 1, 2
Let y be 2/14 + 145/(-525) + 3/9. Find k such that 0 + y*k - 1/5*k**2 = 0.
0, 1
Let w(y) = -y**2. Let a(x) be the second derivative of -3*x**4/4 - 4*x**3/3 + 6*x**2 + x. Let k(g) = -a(g) + 5*w(g). Let k(h) = 0. What is h?
-3, 1
Let u(n) = n**2 - 2*n - 7. Let m be u(-5). Determine b, given that 22*b**4 + m*b**4 - 46*b**4 - 4*b**3 = 0.
0, 1
Let v(y) = y**2 + 69*y - 290. Let l be v(4). Let r(h) be the first derivative of -1/15*h**5 - 13 - 2/9*h**3 + 0*h**l + 0*h + 1/4*h**4. Factor r(i).
-i**2*(i - 2)*(i - 1)/3
Let q(a) be the second derivative of -a**5/15 - 7*a**4/24 + a**3/3 + 5*a**2/2 - 13*a. Let m(o) be the first derivative of q(o). Factor m(d).
-(d + 2)*(4*d - 1)
Let m be (1/(-2))/(7/(-56)). Factor 4*b**4 + 6*b - m + 2*b - 27*b**3 + 19*b**3.
4*(b - 1)**3*(b + 1)
Let w(o) be the first derivative of -2*o**6/3 + 4*o**5 + 3*o**4 - 52*o**3/3 - 20*o**2 + 398. Determine y so that w(y) = 0.
-1, 0, 2, 5
Let r(p) be the first derivative of -p**3/8 + 33*p**2/16 + 183. Factor r(n).
-3*n*(n - 11)/8
Let j(b) be the second derivative of -9/40*b**5 + 0*b**2 + 5*b + 1/12*b**3 - 11/60*b**6 + 0 - 1/21*b**7 - 1/24*b**4. Find l such that j(l) = 0.
-1, 0, 1/4
Factor -32/7 + 20/7*t - 2/7*t**2.
-2*(t - 8)*(t - 2)/7
Let j(d) = 8*d**5 + d**4 + 3*d**3 + 5. Let p(w) = 4*w**5 + w**4 + w**3 + 2. Suppose -10 = -0*q - 2*q. Let s(b) = q*p(b) - 2*j(b). Determine o so that s(o) = 0.
-1, 0, 1/4
Let u(o) = 31*o**2 - 47*o - 46. Let f(p) = -4*p**2 + p + 1. Let i(h) = 24*f(h) + 3*u(h). Factor i(l).
-3*(l + 1)*(l + 38)
Let i(n) be the first derivative of 2/27*n**3 + 1/3*n**2 + 4/9*n + 9. Factor i(b).
2*(b + 1)*(b + 2)/9
Factor -6/5*x**4 + 4/5*x**3 + 0*x + 0 + 0*x**2 + 2/5*x**5.
2*x**3*(x - 2)*(x - 1)/5
Let q(o) be the second derivative of o**4 - 2/15*o**6 - 16/3*o**3 + 0 + 4*o + 8*o**2 + 2/5*o**5. Factor q(h).
-4*(h - 2)*(h - 1)**2*(h + 2)
Let p(h) be the third derivative of 0*h**5 + 0*h + 1/600*h**6 - 1/1680*h**8 - 15*h**2 + 0*h**3 + 0 + 0*h**4 + 0*h**7. Determine l so that p(l) = 0.
-1, 0, 1
Let o(v) be the second derivative of -v**7/105 + 7*v**6/25 - 57*v**5/50 + 11*v**4/6 - 6*v**3/5 + 101*v. Factor o(w).
-2*w*(w - 18)*(w - 1)**3/5
Let g(z) be the third derivative of -z**7/350 + 7*z**6/200 - 7*z**5/100 - 3*z**4/8 - 19*z**2 + 6. Factor g(m).
-3*m*(m - 5)*(m - 3)*(m + 1)/5
Let x(b) = 3*b**3 + 1. Let q = -11 - -12. Let r be x(q). Factor -6*o + 9*o - 3*o**5 - 6*o**2 + 3*o**r + 2*o**4 + o**4.
-3*o*(o - 1)**3*(o + 1)
Let i = -2/22335 - -236753/22335. Factor -11/5*r**3 + 8/5 - 34/5*r - i*r**2.
-(r + 1)*(r + 4)*(11*r - 2)/5
Let c(i) be the third derivative of -i**8/2352 - 2*i**7/735 - i**6/280 + i**5/105 + i**4/42 + 104*i**2. Suppose c(d) = 0. Calculate d.
-2, -1, 0, 1
Let n = 34 - 32. Suppose 4*i + 0*i**2 + 5 - 5 + i**n = 0. What is i?
-4, 0
Let i(v) be the first derivative of v**4/6 - 12*v**2 + 316. What is p in i(p) = 0?
-6, 0, 6
Let u be (36/(-16))/(45/(-30)). Find m, given that 0 - 1/2*m**2 + u*m = 0.
0, 3
Factor -8 + 1/5*r**2 - 3/5*r.
(r - 8)*(r + 5)/5
Let n(l) = l**2