 - 19*q + 7. Let m(g) = -d(g) + s(g). Factor m(t).
-(t - 2)*(t - 1)**2*(t + 4)
Let y(j) be the first derivative of j**4/12 - j**3/9 - 2*j**2 + 216. Find a, given that y(a) = 0.
-3, 0, 4
Let t(l) = -l**2 - 14*l - 13. Let x be t(-13). Suppose -f = x, -5 + 3 = -z + 3*f. Factor 3 + 12 + 3*i**3 + z*i**3 + 60*i**2 - 75*i**2 - 5*i.
5*(i - 3)*(i - 1)*(i + 1)
Let f(c) = 6*c**3 - c**2 + 4. Let q(u) = -u**2 - u + 1. Let w(j) = -f(j) + 2*q(j). Let n be w(-1). Factor 4*s - 9*s - 4*s**3 + 9*s**3 - n + 5*s**2.
5*(s - 1)*(s + 1)**2
Let z(o) = -o**3 + 7*o**2 - 2*o - 22. Let g be (-54)/(-10) - (-18)/30. Let x be z(g). Suppose 2/19*y**3 + 0 - 2/19*y**x + 0*y = 0. Calculate y.
0, 1
Let k(h) be the first derivative of -8/5*h**5 + 0*h**2 + 49 - 2/3*h**6 + h**4 + 8/3*h**3 + 0*h. Solve k(u) = 0.
-2, -1, 0, 1
Let n(r) be the third derivative of 0*r**3 + 0 + 0*r**4 - 1/270*r**5 + 0*r + 1/1080*r**6 - 5*r**2. Factor n(z).
z**2*(z - 2)/9
Find h, given that 29 - 2*h**2 + 196 + 366*h + 120 + 23 = 0.
-1, 184
Suppose -4*f + 16 = 0, -305 = -4*y + 2*f + 75. Factor -46 - 31 + 55*k**2 + y - 75*k.
5*(k - 1)*(11*k - 4)
Let h = -2350 + -14556. Let l be (-1)/(-2 + h/(-8454)). Let -2*q**3 + l - 4227 - 6*q**2 - 4*q = 0. What is q?
-2, -1, 0
Factor -272/15*y**3 + 0*y**2 + 0*y + 2/15*y**5 + 0 + 4*y**4.
2*y**3*(y - 4)*(y + 34)/15
Suppose -3 = -6*o + 21. Factor 30*p**o + 80*p**2 + 45*p**3 + 5*p**5 - 14*p - 46*p - 100*p**2.
5*p*(p - 1)*(p + 2)**2*(p + 3)
Suppose x + 3*x = 5*n + 6, -2 = -n. What is m in 4*m**3 - 2*m**x - 3*m + 163*m**2 - 161*m**2 - 1 - m**5 + 1 = 0?
-3, -1, 0, 1
Let y be (42/21 - 6/(-4))*(-4176)/(-17052). Factor -6 + y*f**2 - 124/7*f.
2*(f - 21)*(3*f + 1)/7
Factor 0 - 28/3*z - 2/3*z**4 + 4*z**3 + 6*z**2.
-2*z*(z - 7)*(z - 1)*(z + 2)/3
Let w be 3*-1*1 - (-240 - -19). Suppose -112 - w = -3*l. Let 2*g**2 + 162 - 24*g + l*g - 16*g - 34*g = 0. What is g?
-9
Find b such that -120*b**2 - 92*b**2 - 90*b**2 + 126*b + 15*b**4 + 3*b**5 - b**2 - 57*b**3 + 1080 = 0.
-5, -3, 2, 4
Let b(d) be the first derivative of 2*d**3/45 - 8*d**2/5 - 512*d/15 - 3890. Let b(y) = 0. Calculate y.
-8, 32
Let w(k) be the third derivative of 0*k + 0*k**3 + 0 + 1/6*k**4 + 0*k**5 + 175*k**2 - 1/120*k**6. Solve w(y) = 0 for y.
-2, 0, 2
Let r(z) be the second derivative of 26/15*z**5 - 169/135*z**6 + 0*z**3 - 4*z + 0*z**2 + 17 - 2/3*z**4. Factor r(y).
-2*y**2*(13*y - 6)**2/9
Let g(s) be the third derivative of 0*s**3 + 65*s**2 - 5/64*s**4 + 0*s + 1/40*s**5 + 0 + 1/320*s**6. Factor g(x).
3*x*(x - 1)*(x + 5)/8
Factor -86/7*j**2 - 2/7*j**3 - 82/7 - 166/7*j.
-2*(j + 1)**2*(j + 41)/7
Suppose -15529 = -56*d + 12527. Suppose -476*n = -d*n + 75. Factor -17/4*p**2 + 0 - 1/2*p + 21/2*p**n.
p*(2*p - 1)*(21*p + 2)/4
Let q be (2/((-16)/6))/((-1386)/72 - -19). Solve -3/4*o**q + 0*o + 9/4*o**2 - 3 = 0 for o.
-1, 2
Let r(i) = 3*i**2 - 3*i. Suppose -u + 4 = k, u + 2*k + 0*k - 3 = 0. Suppose s + 20 = -5*d - 0*s, -u*s = 25. Let h(p) = p. Let j(a) = d*h(a) - r(a). Factor j(y).
-3*y**2
Let m(u) be the second derivative of -24*u**3 - 648*u**2 - 1/3*u**4 + 1 + 8*u. Factor m(k).
-4*(k + 18)**2
Determine j, given that 887/4*j - 37 + 3/2*j**2 = 0.
-148, 1/6
Let j(n) be the second derivative of n**8/560 + n**7/112 + n**6/60 + n**5/80 - 15*n**3/2 + 4*n - 5. Let b(o) be the second derivative of j(o). Factor b(l).
3*l*(l + 1)**2*(2*l + 1)/2
Factor 1/3*j**3 + 0 + 188/3*j + 17*j**2.
j*(j + 4)*(j + 47)/3
Suppose 18*v - 7575 - 9129 = 0. Determine n so that n - n**2 - 2*n**2 - v + 926 + 4*n**2 = 0.
-2, 1
Determine q, given that -3795*q**3 - 4164*q**2 + 372*q**2 + 688 - 3*q**4 - 688 = 0.
-1264, -1, 0
Suppose -2*r = -43 + 29. Suppose 37 = r*a - 5. Factor -5*b - 6 + 3*b**3 - 6*b + 8*b + a*b**2.
3*(b - 1)*(b + 1)*(b + 2)
Let p(i) be the second derivative of i**6/30 - 19*i**5/20 - 11*i**4/6 + 20*i**3/3 - 1143*i. Factor p(l).
l*(l - 20)*(l - 1)*(l + 2)
Let u(f) = -f**2 - f. Suppose -4*o - 27 = -19. Let y(s) = 3*s**2 + 8*s. Let q(l) = o*u(l) - y(l). Factor q(r).
-r*(r + 6)
Let w(i) be the third derivative of -2*i**5/45 - 383*i**4/12 - 287*i**3/9 + i**2 - 317*i + 2. Factor w(v).
-2*(v + 287)*(4*v + 1)/3
Let s(j) be the first derivative of 3*j**4/16 + j**3 - 165*j**2/2 - 1200*j - 2370. What is z in s(z) = 0?
-10, 16
Let h(u) = 7*u**3 - u**2 - 22*u + 16. Let n(s) = 3*s**3 - s**2 - 10*s + 8. Let q = 182 + -187. Let f(x) = q*n(x) + 2*h(x). Find z such that f(z) = 0.
-2, 1, 4
Let y = 2549/2910 - 344/485. Factor -y*q**4 - 5/6*q**2 + 0 + 0*q - q**3.
-q**2*(q + 1)*(q + 5)/6
Let i(o) be the first derivative of 1/3*o**4 + 8/3*o + 18 - 2/3*o**3 - 4/3*o**2 + 2/15*o**5. Factor i(g).
2*(g - 1)**2*(g + 2)**2/3
Suppose 23*v + 35074 = 1839. Let c = 1447 + v. Solve -2/5*g**c - 9/5*g - 4/5 = 0 for g.
-4, -1/2
Let m(n) be the first derivative of -5*n**4/12 + 155*n**3/3 - 4805*n**2/2 - 102*n - 20. Let z(y) be the first derivative of m(y). What is f in z(f) = 0?
31
Let h(m) be the third derivative of m**7/525 + m**6/300 - 11*m**5/75 - 2*m**4/3 + 2445*m**2. Solve h(n) = 0.
-4, -2, 0, 5
Let b(y) be the first derivative of -7*y - 1/8*y**2 - 3/40*y**6 + 16 + 3/10*y**5 - 11/24*y**4 + 1/3*y**3. Let n(c) be the first derivative of b(c). Factor n(q).
-(q - 1)**2*(3*q - 1)**2/4
Let j(k) be the first derivative of -169 - 84*k**2 - 2/3*k**3 - 3528*k. Let j(l) = 0. Calculate l.
-42
Suppose 0 = n - a - 139, 0 = 10*n - 15*n - 5*a + 745. Let x = 1297/9 - n. Find k, given that -x + 1/9*k + 1/9*k**2 - 1/9*k**3 = 0.
-1, 1
Let i = -14 + 17. Suppose 2 + 7 = -i*t. Let v(d) = 6*d**3 - 3*d**2 + 6. Let f(k) = -7*k**3 + 3*k**2 - k - 7. Let m(c) = t*f(c) - 4*v(c). What is w in m(w) = 0?
-1, 1
Suppose 20 = 2*l + 5*d + 1, d = -l + 8. What is r in r**2 + 3*r + 1953 - 976 - 968 + l*r = 0?
-9, -1
Let i be -536 - -1 - (-8 + 5 + 2). Let m = i + 534. Factor -1/4*x**4 + 1/2*x**2 - 1/4*x**3 + 0*x + m.
-x**2*(x - 1)*(x + 2)/4
Let d = 103202 - 103200. Factor -3/5*q**d - 7/5*q**3 - 3/5*q**4 + 3/5*q + 2/5.
-(q + 1)**3*(3*q - 2)/5
Let z(g) = 2*g**3 + 2*g**2 - g + 5. Let c(t) = 402*t**3 + 405*t**2 - 810*t - 21. Let n(m) = c(m) + 3*z(m). Factor n(a).
3*(a - 1)*(a + 2)*(136*a + 1)
Let y(n) be the first derivative of -1/15*n**3 + 13*n**2 - 845*n + 230. Factor y(w).
-(w - 65)**2/5
Let i(h) be the first derivative of -4*h**3/3 + 14*h**2 + 240*h - 968. Factor i(w).
-4*(w - 12)*(w + 5)
Suppose -h = 13 - 16. Suppose 2*d - h*d = -12. Factor 0*q**2 - 15 + d*q + 0*q**2 + 23 - 4*q**3.
-4*(q - 2)*(q + 1)**2
Factor 1233*q**2 + 484 - 6669*q + 2027 - 987*q**2 + 1742*q**2 + 2404*q**2 + 48*q**3.
3*(q + 93)*(4*q - 3)**2
Let f(z) be the first derivative of z**4/2 - 28*z**3 - 88*z**2 - 1780. Factor f(v).
2*v*(v - 44)*(v + 2)
Let h = -169974 + 169974. Suppose 3*i + 3*q - 12 = 0, -q - 16 = 5*i - 5*q. Find w, given that h + 5/3*w**2 + 0*w**3 + i*w - 5/3*w**4 = 0.
-1, 0, 1
Suppose -4*k = -3*b - 37 - 19, 0 = -b + 3*k - 17. Let q(s) = 2*s + 44. Let g be q(b). Factor 27*r**3 - 25*r**g + 29*r**4 + 7*r**5 - 13*r**2 - 27*r**4 + 2*r.
r*(r - 1)**3*(7*r - 2)
Let -15/2*s**4 + 825*s + 0 - 4485/2*s**2 + 453*s**3 = 0. What is s?
0, 2/5, 5, 55
Let p = -27945 - -27945. Let k(z) be the second derivative of 1/120*z**4 + 9*z + 121/20*z**2 + 11/30*z**3 + p. Determine y so that k(y) = 0.
-11
Suppose -75/2*o + 10*o**4 - 55*o**2 + 40*o**3 + 45 - 5/2*o**5 = 0. What is o?
-3, -1, 1, 6
Let h(z) = z**2 - 15*z - 1. Let t be h(14). Let v = 5 - t. Factor v*p + 24 - 48*p + 3*p**4 - 29*p - 3*p - 21*p**3 + 54*p**2.
3*(p - 2)**3*(p - 1)
Let q(v) be the first derivative of 3*v**4 - 23*v**3 - 171*v**2 - 81*v - 2254. Factor q(a).
3*(a - 9)*(a + 3)*(4*a + 1)
Let t(m) = m**2 - 1. Let a(g) = -2*g**2 + 2*g**2 + 5*g**2 + 4*g - 6. Let p(r) = -r**2 + 31*r - 102. Let h be p(27). Let x(c) = h*t(c) - a(c). Factor x(j).
j*(j - 4)
Let q = 559 + -551. Suppose q + 8 - 19*d**2 + 1 - 7*d**3 - 13 - 8*d + 0*d = 0. Calculate d.
-2, -1, 2/7
Let m(o) be the third derivative of -o**5/270 + 71*o**4/108 - 68*o**3/9 - 994*o**2. Factor m(u).
-2*(u - 68)*(u - 3)/9
Let n(k) be the second derivative of k**6/630 - k**5/210 + 23*k**3/3 - 7*k - 3. Let b(s) be the second derivative of n(s). Suppose b(a) = 0. Calculate a.
0, 1
Let j(f) be the third derivative of -f**7/210 + f**6/10 - 13*f**5/15 + 4*f**4 - 32*f**3/3 + 499*f**2. Let j(k) = 0. What is k?
2, 4
Let g(w) = -w**3 - 150*w**2 - 109*w - 16347. Let