irst derivative of h(o). Factor b(z).
-z*(z - 2)*(z + 1)/3
Let j(y) be the first derivative of 3*y**4/7 + 4*y**3/21 - 436*y**2/7 + 576*y/7 - 535. Factor j(k).
4*(k - 8)*(k + 9)*(3*k - 2)/7
Suppose -4*y + 6 = 5*g, 2*g = -3*y + y + 2. Suppose 57 = 2*r + v, 3*r + v + g*v - 87 = 0. Factor -17*k + 8*k**4 + 2*k - 20*k**3 + 3*k - 4*k**4 + r*k**2.
4*k*(k - 3)*(k - 1)**2
Let b(s) = -s**2 + 19*s - 18. Let d be b(17). Let i be (16 - d - -1)*8/14. Factor 68/7*m**3 + i*m**4 + 432/7*m - 864/7 + 360/7*m**2.
4*(m - 1)*(m + 6)**3/7
Let c(j) = j**2 + 12*j + 44. Let g be c(-5). Suppose -13*t + 5*r - 25 = -g*t, -2*r + 10 = t. Solve t - 8/7*m - 10*m**4 - 118/7*m**3 - 8*m**2 = 0 for m.
-1, -2/5, -2/7, 0
Find j, given that -57/5 - 58/5*j - 1/5*j**2 = 0.
-57, -1
Suppose 0 = -4*b - 2*h + 48, -48 = 46*b - 50*b - 5*h. Let n(u) be the first derivative of -1/21*u**3 + 0*u + 2/7*u**2 - b. Factor n(x).
-x*(x - 4)/7
Suppose v + 4 = o, -o + v - 3*v = -10. Suppose 3*p = -g - 0*g + 7, 4*g - o = -p. Factor -f - 1/4*f**4 + 1/2*f**3 - 1 + 3/4*f**p.
-(f - 2)**2*(f + 1)**2/4
Let h(r) = -44*r**2 + 483*r + 13. Let i be h(11). Solve -2/3 - 1/3*p**i + p = 0 for p.
1, 2
Suppose 5*p = 4*n + 5 - 138, -4*n = -2*p - 130. Find j such that 144 + n*j**3 - 60*j - 72*j**3 + 44*j**3 - 8*j**2 = 0.
-4, 3
Suppose 12*m + 157 - 181 = 0. Let -2/5*q**m - 2048/5 - 128/5*q = 0. What is q?
-32
Suppose 0 = 3*b + 40 + 158. Let t = 69 + b. Solve 5*o**3 - o**4 - 4 + 5*o**2 - o**5 + 3*o**3 - 4*o**3 + o**t - 4*o = 0.
-2, -1, 1, 2
Let o(l) be the second derivative of -175*l**4/36 - 530*l**3/9 - 10*l**2 - 604*l. Factor o(q).
-5*(q + 6)*(35*q + 2)/3
Let q be (1 - 2) + (-191 - -197). Let h(t) be the third derivative of -8/15*t**3 - 1/75*t**q + 11*t**2 + 0*t - 2/15*t**4 + 0. Solve h(r) = 0 for r.
-2
Let o(x) = 98*x**2 + 96*x - 245. Let t(z) = -59*z**2 - 49*z + 123. Let b(r) = 3*o(r) + 5*t(r). What is j in b(j) = 0?
3, 40
Let a(n) be the second derivative of -n**4/4 - 253*n**3 - 192027*n**2/2 + 3*n + 371. Let a(t) = 0. Calculate t.
-253
Let p(m) be the second derivative of -m**4/30 - 11*m**3/15 + 16*m**2 - 561*m. Factor p(h).
-2*(h - 5)*(h + 16)/5
Suppose 49/2*n**2 + 0 + 0*n - 1/2*n**4 + 24*n**3 = 0. What is n?
-1, 0, 49
Let q = -5341/18 - -2684/9. Let r(y) be the first derivative of 3/16*y**4 + 8 - q*y**5 + 7/4*y**3 + 3/4*y**2 + 0*y. Solve r(w) = 0.
-1/2, -2/5, 0, 1
Let m be (95/76)/(1/4). Let j be ((-4)/(-6)*-1)/(m/(-30)). Factor 6*p**5 + 4*p**4 + p**5 + 34*p**4 - 6*p**3 - 19*p**j.
p**3*(p + 3)*(7*p - 2)
Suppose 932*y - 474*y = 384*y + 370. Determine s so that -9/5 - 3/5*s + 9/5*s**y - 54/5*s**3 + 54/5*s**2 + 3/5*s**4 = 0.
-3, -1/3, 1
Let m = 1471400 + -1471400. What is r in -16/15*r + 6/5*r**2 + m - 2/15*r**3 = 0?
0, 1, 8
Determine a so that -2/9*a**3 + 32/9*a**2 + 56/3 + 202/9*a = 0.
-4, -1, 21
Let h(l) = -l + 3. Let w be h(-1). Suppose 2*q + 12 = -q, u - w*q = 19. Factor -4*m**5 - 14*m**5 - 9*m**u - 3*m**4 + 21*m**5 + 6*m + 3*m**2.
3*m*(m - 2)*(m - 1)*(m + 1)**2
Let l be ((-12)/32)/((-10452)/(-16)). Let p = 38333/15678 + l. Find k, given that 2/3*k**2 + 4/3 + p*k = 0.
-3, -2/3
Solve 316/11 - 156/11*f**2 + 2/11*f**3 - 162/11*f = 0 for f.
-2, 1, 79
Let i = -76307 - -76309. Factor 40/3*b + 1/3*b**i + 400/3.
(b + 20)**2/3
Determine o, given that -83*o**3 + o - 4 + 4*o + 41*o**3 - 18*o**4 + 13*o - 2*o**2 = 0.
-2, -1, 1/3
Let k(n) be the second derivative of -3/100*n**5 - 3*n + 1/4*n**4 + 4/5*n**3 - 72/5*n**2 + 21. Solve k(i) = 0 for i.
-3, 4
Let x(c) = -c - 84 - 86 + 172. Let w(q) = -4*q**2 + 156*q - 8. Let g(a) = -w(a) - 4*x(a). Factor g(p).
4*p*(p - 38)
Let z = -467 + 470. Let 6*o**4 - 3*o**3 + 3*o**4 - o**5 - 2*o**5 - 3*o**z = 0. What is o?
0, 1, 2
Suppose -3*x = 2*w + 18, w = 4*x - 2*w + 7. Let i be (-38)/(-88) - (-1)/x. Factor 2/11*c**3 - 8/11*c - i*c**2 + 8/11.
2*(c - 2)*(c - 1)*(c + 2)/11
Let j(h) = 14*h**4 - 4*h**3 + 46*h**2 - 18*h - 27. Let c(m) = 5*m**4 - 2*m**3 + 16*m**2 - 6*m - 9. Let z(l) = -11*c(l) + 4*j(l). Factor z(v).
(v - 1)*(v + 1)*(v + 3)**2
Let y(g) = -g**3 + 6*g**2 + 5*g + 19. Let o be y(7). Let x be 884/1235 - (-2 - (-12)/o). Solve -2/19*c**2 + x - 4/19*c = 0 for c.
-3, 1
Suppose -81*x = -38*x + 143*x - 15066. Factor 1/4*d**2 + x + 9*d.
(d + 18)**2/4
What is w in -247/5*w + 1/5*w**4 + 166/5 + 83/5*w**3 - 3/5*w**2 = 0?
-83, -2, 1
Let n(i) be the third derivative of -13*i**7/3780 - 19*i**6/1620 - i**5/90 - 143*i**3/6 - 7*i**2 + 10*i. Let v(p) be the first derivative of n(p). Factor v(d).
-2*d*(d + 1)*(13*d + 6)/9
Find s such that -1784/5*s - 318/5*s**3 + 1056/5 + 3376/15*s**2 + 36/5*s**4 - 2/15*s**5 = 0.
2, 3, 44
Let t(y) = 561*y**2 - 13*y + 20. Let m be t(2). Let f = m + -2236. What is k in -3/2*k**f + k + 1/2*k**4 + 0*k**3 + 0 = 0?
-2, 0, 1
Let w(z) = z**2 + 50*z + 270. Let a be w(-6). Suppose a = -q - 2*f, 0*q - 3*q - 4*f = 8. Solve -2/9*p**2 - 2*p**q + 56/9*p + 8/3 - 20/3*p**3 = 0.
-3, -2/3, 1
Let a(u) be the third derivative of -u**7/1050 + 133*u**6/300 - 17149*u**5/300 - 1197*u**4/2 - 2430*u**3 + 90*u**2 - 2. Solve a(b) = 0 for b.
-2, 135
Suppose -76*y = -66*y - 680. Factor y + 453*w - 445*w - 4*w**2 - 8.
-4*(w - 5)*(w + 3)
Suppose -5*i - 203 = -303. What is u in -i*u + 110*u**2 - 56 - 4 - 105*u**2 = 0?
-2, 6
Let q(l) = -28*l**2 - 728*l - 3284. Let a(w) = w**2 - 3*w + 3. Let o(u) = -8*a(u) - q(u). Solve o(x) = 0 for x.
-163/5, -5
Let j(h) be the first derivative of -15*h**4/4 - 355*h**3/3 - 1020*h**2 + 720*h - 2731. Factor j(r).
-5*(r + 12)**2*(3*r - 1)
Let l be (5 - 10)/((-330)/72). Let -l + 2/11*g + 2/11*g**2 = 0. What is g?
-3, 2
Let g be (0 - (1 + 1)) + 1 + 2. Let p(q) = -q**5 - q**3 - 1. Let k(j) = 12*j**4 - 4*j**3 + 4. Let a(v) = g*k(v) + 4*p(v). Factor a(c).
-4*c**3*(c - 2)*(c - 1)
Let o(g) be the third derivative of 1/720*g**6 - 13/120*g**5 + 133/48*g**4 + 0 - 75*g**2 + 0*g - 361/36*g**3. Let o(i) = 0. What is i?
1, 19
Suppose -3*i + 5*y = 13, 0*i + y = 3*i - 7. Factor 80*d**2 + 155*d**3 - 10*d - 8*d - 2*d + 60*d**4 - 5*d**i.
5*d*(d + 1)*(d + 2)*(11*d - 2)
Let d(l) be the second derivative of -157*l**4/6 - 261*l**3 + 10*l**2 - 6727*l. Determine r so that d(r) = 0.
-5, 2/157
Let s(y) = 641*y + 78843. Let b be s(-123). Factor b + 3/7*d**4 - 48/7*d**2 - 36/7*d - 9/7*d**3.
3*d*(d - 6)*(d + 1)*(d + 2)/7
Factor -1/2*n**2 - 171 - 173/2*n.
-(n + 2)*(n + 171)/2
Let f(h) = -2*h**2 + 12*h + 2. Let d(y) = 6 + 39*y - 5*y - 3*y**2 - 3*y**2 + 0*y. Let v(p) = 6*d(p) - 17*f(p). Factor v(i).
-2*(i - 1)*(i + 1)
Let a be (1 + -1 - -5)/1. Let r be (2/(-10))/(2/10*(-167)/501). Suppose m**4 - 22*m**3 - 17*m**r + 41*m**3 - m**a = 0. Calculate m.
-1, 0, 2
Let d(j) be the second derivative of -j**7/840 - j**6/180 + j**5/40 + 10*j**3/3 + 2*j + 35. Let x(l) be the second derivative of d(l). Factor x(t).
-t*(t - 1)*(t + 3)
Let n(j) = -86*j**3 - 1334*j**2 + 1340*j + 10. Let y(p) = -26*p**3 - 444*p**2 + 446*p + 3. Let a(w) = -3*n(w) + 10*y(w). Factor a(x).
-2*x*(x - 1)*(x + 220)
Let t(r) = -3*r**2 - 13746*r - 3160347. Let b(y) = -y**2 - 5498*y - 1264141. Let w(p) = -12*b(p) + 5*t(p). Suppose w(v) = 0. What is v?
-459
Let h = -431 + -8. Let g = h + 441. Factor 10/3 + 5/3*b**3 - 10/3*b**g - 5/3*b.
5*(b - 2)*(b - 1)*(b + 1)/3
Let r(i) be the third derivative of -2 - 54*i**2 - 1/180*i**5 + 0*i**3 - 1/224*i**8 + 1/80*i**6 + 0*i + 1/630*i**7 + 0*i**4. Find k such that r(k) = 0.
-1, 0, 2/9, 1
Let t(l) = -6*l**5 + 11*l**4 + 7*l**3 + l**2 - 9*l - 8. Let z(b) = 11*b**5 - 21*b**4 - 16*b**3 - 2*b**2 + 17*b + 14. Let g(o) = 7*t(o) + 4*z(o). Factor g(k).
k*(k - 5)*(k + 1)**2*(2*k - 1)
Suppose -2*m + 20 = -0*m + p, -m + 5*p + 21 = 0. Suppose j - m = -0*q + 3*q, -j - 4*q = 10. Factor 4/11 - j*n + 10/11*n**2.
2*(n - 2)*(5*n - 1)/11
Solve -740/3 + 1106/9*c + 2/9*c**2 = 0.
-555, 2
Let q(j) be the third derivative of j**6/120 - 16*j**5/5 + 4*j**2 - j + 330. Find t, given that q(t) = 0.
0, 192
Let h be 2754/(-612)*(-8)/9. Factor -1/3*p**h + p**2 + 10/3*p - 4/3*p**3 - 8/3.
-(p - 1)**2*(p + 2)*(p + 4)/3
Find o, given that -15*o**3 + 10*o**3 + 86*o**4 - 11*o**4 + 15*o + 5*o**5 - 75*o**2 - 15*o = 0.
-15, -1, 0, 1
Suppose -52*w - 60 = -58*w. Find h such that -6 + 346*h + w - 338*h + 4*h**2 = 0.
-1
Let f(g) = -3*g. Let s(m) = 10*m + 28. Let a(d) = -12*f(d) - 4*s(d). Let y be a(-28). Solve k - 5/2*k**2 - 8*k**3 + y - 9/2*k**4 = 0.
-1, 0,