 derivative of c**7/11340 - c**6/3240 - c**5/270 - c**4/8 + 11*c**2. Let k(n) be the second derivative of m(n). Factor k(h).
2*(h - 2)*(h + 1)/9
Let h(r) = -r**2 + 2*r + 28. Let n be h(-4). Suppose -2*u - 1/2 - 1/2*u**n - 3*u**2 - 2*u**3 = 0. What is u?
-1
Let i(f) be the first derivative of f**5 + 15*f**4/2 + 15*f**3 + 10*f**2 - 67. Factor i(w).
5*w*(w + 1)**2*(w + 4)
Let n(u) = -u**2 - 9*u - 11. Let h be n(-7). Let c(s) = 2 + 5 - 5 - h. Let b(x) = -5*x**2 + x + 1. Let l(v) = -2*b(v) - 2*c(v). Factor l(a).
2*a*(5*a - 1)
Let c = -1556 - -3113/2. What is d in -2*d**3 - c*d**4 + 0*d + 0 - 2*d**2 = 0?
-2, 0
Factor 144*z - 4*z**3 + 0*z**2 + 432 - 1/3*z**4.
-(z - 6)*(z + 6)**3/3
Suppose 2*v = -3*r + 70, 7*r - 2*r - 4*v - 146 = 0. Let m = r - 24. What is k in -3*k**2 + 7*k**m - 5*k**3 + 3*k**3 = 0?
0, 2
Let m be (-20)/(-12)*(-3 - -3 - 21/(-70)). What is w in 3/2*w**2 - 3/2*w + 1/2 - m*w**3 = 0?
1
Find k, given that 27 + 9921*k - 5*k**2 - 10001*k + 58 = 0.
-17, 1
Let c(a) be the first derivative of a**4/2 + 416*a**3/21 + 1515*a**2/7 - 900*a/7 - 108. Factor c(w).
2*(w + 15)**2*(7*w - 2)/7
Let j(o) = 11*o**3 - 6*o**2 + 5*o + 5. Let u(z) = -z**3 - 2*z**2 + z - 1. Let f(d) = -2*j(d) - 10*u(d). Factor f(w).
-4*w*(w - 1)*(3*w - 5)
Let g be (-45)/2*1824/(-190). Let b be ((-1)/(-9) - 0)/(g/324). Solve -b*l**2 - 1/3*l + 1/2 = 0 for l.
-3, 1
Let u = -38 - -49. Suppose n - 11 + u = 0. Find r such that 4/3*r + 2/3*r**3 - 2*r**2 + n = 0.
0, 1, 2
Suppose 91 = 4*t - 61. Suppose -2*y + 4*y = t. Factor 6*g**4 - 7*g**2 - 10*g**3 - 12*g**3 + y*g**2.
2*g**2*(g - 3)*(3*g - 2)
Let o(u) = -2*u**2 - 2*u + 12. Let g(q) = q**2 + 2*q - 11. Let j(p) = 7*g(p) + 6*o(p). Let b(h) = 4*h**2 - 3*h + 6. Let a(n) = -4*b(n) - 3*j(n). Factor a(r).
-(r - 3)**2
Let f(g) be the first derivative of -4*g**5/5 + 2*g**4 + 20*g**3/3 - 12*g**2 + 79. Factor f(l).
-4*l*(l - 3)*(l - 1)*(l + 2)
Let f(z) be the second derivative of -2*z**6/45 + z**5/90 + 4*z**4/27 - z**3/27 - 2*z**2/9 + 31*z - 2. Find b such that f(b) = 0.
-1, -1/2, 2/3, 1
Let j(i) be the third derivative of -i**7/105 - i**6/6 - 5*i**5/6 + 5*i**2 + 2*i. Solve j(y) = 0 for y.
-5, 0
Factor -2*l + 1/4*l**3 + 3 - 1/4*l**2.
(l - 2)**2*(l + 3)/4
Let t(a) = -2*a**2 - 33*a + 20. Let i be t(-17). Let -12 + i*v**2 - 5*v**3 + 2*v**3 + 36*v - 6*v**3 = 0. What is v?
-2, 1/3, 2
Suppose 2*x = u + 5, -2 = 6*x - 8*x - 2*u. Let q(l) be the first derivative of l**x - 1/10*l**5 + 2*l - 1/2*l**4 + 4 - 1/2*l**3. Factor q(m).
-(m - 1)*(m + 1)*(m + 2)**2/2
Let j be ((-468)/(-24))/((-3)/(-2)). Solve -5 + 4*m - 1 - 3*m**2 - j*m = 0.
-2, -1
Let v = 2/515 + 2038/5665. Find j, given that 2/11 + 2/11*j**4 - v*j**3 - 4/11*j**2 + 2/11*j**5 + 2/11*j = 0.
-1, 1
Let h(x) = -8*x**3 + 12*x**2 - 24*x + 19. Let r(n) = 10*n**3 - 12*n**2 + 24*n - 20. Let i(a) = -4*h(a) - 3*r(a). Solve i(t) = 0.
2
Suppose -14*i + 58 = 2*i + 58. Let 0 + i*v - 3/4*v**2 = 0. What is v?
0
Let g be 4/50 - 34034/(-7700). Factor -3/4*j**2 - 27/4 + g*j.
-3*(j - 3)**2/4
Let n be (-2*2/8)/(13 + -18). Let b(s) be the second derivative of 4*s - 1/4*s**4 + 0 + 3/10*s**2 + 9/100*s**5 + n*s**3. Factor b(k).
3*(k - 1)**2*(3*k + 1)/5
Let z(h) = h**2 + 14*h + 8. Let u be z(-14). Suppose 3*k + 2*f - 4 = -3, -u = 4*k + 5*f. Factor -2*t**3 - 2*t**3 + t**k.
-3*t**3
Suppose -42 + 193 - 10 + 94 - v**2 + 230*v - 4*v**2 = 0. What is v?
-1, 47
Let f be (7 + -13)*(-3 + (-248)/(-84)). Factor 2/7*y**2 - f*y**3 - 2/7*y**4 + 0 + 0*y + 2/7*y**5.
2*y**2*(y - 1)**2*(y + 1)/7
Let x(g) be the second derivative of g**7/56 + g**6/8 + 3*g**5/8 + 5*g**4/8 + 5*g**3/8 + 3*g**2/8 - 96*g. Let x(z) = 0. What is z?
-1
Let t = 381/10 + -2637/70. Solve 0 - t*q - 1/7*q**2 = 0 for q.
-3, 0
Let r = -61 - -66. Factor -9*f + 3*f - r*f**2 - 4*f + 15.
-5*(f - 1)*(f + 3)
Let x(l) = 25*l**2 - 60*l + 5. Let d(i) = 13*i**2 - 30*i + 2. Let z(q) = -11*d(q) + 6*x(q). Factor z(c).
(c - 4)*(7*c - 2)
Let m = 37/204 - 1/68. Let o(f) be the third derivative of 0 + 0*f**4 - f**2 - m*f**3 + 0*f + 1/60*f**5. What is g in o(g) = 0?
-1, 1
Suppose -3*s = -12 - 15. Factor 23*z - 2 - 15*z + 3*z**2 - s*z**2.
-2*(z - 1)*(3*z - 1)
Let z = -6/605 - -3273/605. Let n = 43/5 - 5. Suppose 12/5 + n*g**2 - 3/5*g**3 - z*g = 0. What is g?
1, 4
Suppose -2*d - 3 = -s, 0 = -2*d + 2*s - 0*s - 6. Suppose 3*a + d*a - 6 = 0. Find w such that -22*w**2 + 37*w**a + 28*w + 20*w**3 + 21*w**2 + 4*w**4 + 8 = 0.
-2, -1
Let l(f) be the second derivative of f**4/42 + 38*f**3/21 + 72*f**2/7 - 345*f. Let l(m) = 0. What is m?
-36, -2
Let i(x) be the first derivative of -17 + 1/15*x**3 - 2/5*x - 1/10*x**2. Factor i(q).
(q - 2)*(q + 1)/5
Let l = 14353 - 14353. Factor 2/19*t**2 - 8/19 + l*t.
2*(t - 2)*(t + 2)/19
Let b be (-10)/(-115) - (-615)/69 - 5. Let d(o) be the third derivative of 3*o**2 + 0 + 0*o + 1/12*o**b + 2/21*o**3 - 1/105*o**5 - 1/60*o**6. Factor d(i).
-2*(i - 1)*(i + 1)*(7*i + 2)/7
Let n(b) be the second derivative of -b**5/210 - 4*b**4/7 - 71*b**3/63 - 2*b - 319. Factor n(r).
-2*r*(r + 1)*(r + 71)/21
Let z be (-3)/(-4) + 7*((-963)/108 - -9). Suppose -4/3*p**2 + 4/3*p - z*p**3 + 4/3 = 0. Calculate p.
-1, 1
Suppose 5*n = -y + n - 18, -3*y - 4*n - 14 = 0. Suppose -4*g = -2*u - y, -4*u - 5 = -5*u. Factor -16/5*d**g + 2/5*d**2 + 2*d**4 + 0 + 4/5*d.
2*d*(d - 1)**2*(5*d + 2)/5
Let y be 0/(6/(-2)) - -2. Let z(h) be the first derivative of 4*h**y - 12*h + 2*h**2 - 2*h**3 + 3 + h**3. Let z(m) = 0. What is m?
2
Let o(h) = -3*h**4 - 24*h**3 - 68*h**2 - 61*h - 19. Let u(k) = 3*k**4 + 24*k**3 + 69*k**2 + 60*k + 18. Let s(m) = 6*o(m) + 5*u(m). Factor s(v).
-3*(v + 1)**2*(v + 2)*(v + 4)
Suppose -704 - 1219 = -3*z. Let g = z - 367. What is d in 3*d**2 - 5*d - d + 277*d**3 - g*d**3 = 0?
-2, 0, 1
Let b(l) = 3*l**3 + 42*l - 6 - 30*l**2 - 6 - 3*l**5 + 9*l**4 - 3*l**2. Let v(u) = u. Let w(k) = -b(k) + 6*v(k). What is r in w(r) = 0?
-2, 1, 2
Let u(v) be the second derivative of v**6/90 + v**5/60 - 14*v**4/9 + 8*v**3 - 365*v. Determine s, given that u(s) = 0.
-9, 0, 4
Let m = -27454 - -27454. Determine r, given that 0 + 1/3*r**3 + m*r + 1/3*r**4 - 2/3*r**2 = 0.
-2, 0, 1
Let j(s) be the second derivative of s**4/8 - 35*s**3/2 + 3675*s**2/4 + 31*s + 2. What is q in j(q) = 0?
35
Let f(o) be the second derivative of 0 + 0*o**2 + 1/15*o**6 + 0*o**4 + 4*o + 0*o**3 - 1/10*o**5. Solve f(u) = 0 for u.
0, 1
Suppose -14 = -8*t + t. Determine h so that h**t - 3*h**3 - 3 + 3 - 7*h**2 = 0.
-2, 0
Suppose 2*h = -4*g - 2, -5 = -5*g + h - 2*h. Find b such that 5*b**5 - 6*b**5 + 5*b**5 + 3*b**g + 4*b + 5*b**2 - 4*b**4 - 4 - 8*b**3 = 0.
-1, 1
Let c(g) = -g**3 + 3*g**2 - g. Let p be c(2). Suppose -p*u - 2*m + 35 = -7*m, -4*u = 4*m. Let 3*l**5 - 8*l**3 + 2*l**2 - l**u + 6*l**5 - 2*l**4 = 0. What is l?
-1, 0, 1/4, 1
Let f(t) be the first derivative of 42 - 5*t**3 + 1/5*t**5 - 1/2*t**4 + 20*t - 2*t**2. Suppose f(x) = 0. What is x?
-2, 1, 5
Let j(q) = -5*q**2 - 61*q + 336. Let s(p) = 5*p**2 + 59*p - 334. Let i(z) = 3*j(z) + 2*s(z). Factor i(b).
-5*(b - 4)*(b + 17)
Let h be 7/20*60/1890. Let c(y) be the second derivative of 0 + 2/27*y**4 - 5/27*y**3 - 6*y + 2/9*y**2 - h*y**5. Factor c(s).
-2*(s - 2)*(s - 1)**2/9
Let n(m) = 6*m**2 - 60*m + 51. Let l(g) = -g**2 + 2. Let b(z) = 3*l(z) + n(z). Factor b(r).
3*(r - 19)*(r - 1)
Let s(b) be the first derivative of b**3 - 3*b**2 - 72*b + 129. Factor s(k).
3*(k - 6)*(k + 4)
Let l(m) be the second derivative of -17/3*m**3 + 0 + 5/6*m**4 + 6*m**2 - 4*m. Find y such that l(y) = 0.
2/5, 3
Let r be (0/(-5))/(-1) - 6. Let g be ((-1)/(-3))/(r/18) + 3. Suppose 0 + 1/2*x**3 + x**g + 0*x = 0. Calculate x.
-2, 0
Let g = 125 + -69. Let j = g - 39. Solve -j*f**5 + 4*f**3 - 4*f**2 + 5*f**5 + 8*f**5 + 4*f**4 = 0.
-1, 0, 1
Suppose r - 14 = 3*p + 10, 40 = 2*r - 4*p. Factor -8*t**4 + t**5 + 0*t**5 + 18*t**3 - r*t**2 + 2*t**5 - 4*t**4 + 3*t.
3*t*(t - 1)**4
Solve -68*m - 50*m + m**3 + 28*m + 2*m**3 + 39*m**2 = 0 for m.
-15, 0, 2
Let n(h) be the second derivative of -5*h + 0*h**3 + 0*h**4 + 0*h**5 - 1/1365*h**7 + 0*h**6 + 0 + 2*h**2. Let p(g) be the first derivative of n(g). Factor p(f).
-2*f**4/13
Let q(g) be the first derivative of -6*g**6 - 66*g**5 - 4105*g**4/16 - 1515*g**3/4 - 675*g**2/8 - 27*g/4 - 23. What is j in q(j) = 0?
-3, -1/12
Let p(r) be the first derivative of 1/96*r**4 + 7 + 0*r**2 + 1/24*r**3 + 