cond derivative of 9*u**6/140 - 3*u**5/70 + u**4/84 + u**3/6 - 3*u**2 - u + 33. Let t(a) be the second derivative of s(a). Factor t(p).
2*(9*p - 1)**2/7
Let i(l) = 6*l**3 + 4*l**2 + 4*l - 4. Let n(f) = f**3 + f - 1. Let q = -72 - -134. Let b = -63 + q. Let w(y) = b*i(y) + 4*n(y). Suppose w(k) = 0. Calculate k.
-2, 0
Let w(v) be the first derivative of -1/28*v**4 - 20/21*v**3 + 0*v + 14 - 50/7*v**2. Factor w(a).
-a*(a + 10)**2/7
Let b be ((-1340)/(-60) - 21)*12/8. Solve -2/7*v**b + 2/7*v**4 - 2/7*v**5 - 16/7*v + 10/7*v**3 - 8/7 = 0.
-1, 2
Let h(a) be the first derivative of a**5/25 + 9*a**4/5 + 272*a**3/15 + 24*a**2 - 1872*a/5 - 564. Factor h(u).
(u - 2)*(u + 6)**2*(u + 26)/5
Let c = 992380 + -992376. Let i(v) = -v - 5. Let y be i(-5). Factor 3*r**c + 0 + 3/2*r**5 - 3*r**2 + y*r**3 - 3/2*r.
3*r*(r - 1)*(r + 1)**3/2
Let j(y) = 0*y + 1 + y**3 + y + 4*y**2 + 2*y. Let x be j(-2). Determine f, given that -3 - f - 9*f**2 + 163*f**3 - 160*f**x + 10*f = 0.
1
Suppose 96/5 - 1284/5*s**3 + 712/5*s + 104/5*s**4 + 372/5*s**2 = 0. Calculate s.
-1/2, -2/13, 1, 12
Let g(c) be the first derivative of -167 + 0*c + 22/3*c**2 + 4/9*c**3. Suppose g(d) = 0. Calculate d.
-11, 0
Let g(m) = m**2 - 393*m + 18876. Let t be g(337). Factor -2*z + t*z**2 + 3/2*z**3 + 0 - 9/2*z**4.
-z*(z + 1)*(3*z - 2)**2/2
Let p be 16093/20482 + (-2)/7. Factor -1/4*v**4 + 0*v - p*v**2 + 3/4*v**3 + 0.
-v**2*(v - 2)*(v - 1)/4
Let y be (-8)/(-25 - (-48 - -33)) - (56/(-5))/2. Factor 8/5*p - y*p**2 + 0 + 14/5*p**3.
2*p*(p - 2)*(7*p - 2)/5
Suppose 0 = -p - 19*p + 360. Suppose 13*l - 9*l = 2*f + p, 4 = -3*l - 2*f. Factor 4/7*h + 0 + 0*h**l - 4/7*h**3.
-4*h*(h - 1)*(h + 1)/7
Let p(o) = -48*o - 26. Let v be p(9). Let i = -453 - v. Factor -5/3*q**i + 10/3*q**3 + 5/3 - 10/3*q**2 + 5/3*q**4 - 5/3*q.
-5*(q - 1)**3*(q + 1)**2/3
Suppose -189 + 64 = -5*x. Suppose 0 = -8*y - 1 + x. Factor -2/21*q**y + 2/7 + 10/21*q + 2/21*q**2.
-2*(q - 3)*(q + 1)**2/21
Factor -252 + 46/3*b**3 + 270*b - 102*b**2 - 2/3*b**4.
-2*(b - 14)*(b - 3)**3/3
Suppose 202/3*c + 44/3 + 6*c**2 = 0. What is c?
-11, -2/9
Let u(m) be the second derivative of m**5/20 - 49*m**4/12 + 272*m**3/3 - 6761*m. Factor u(i).
i*(i - 32)*(i - 17)
Let g be 28/(-4340)*-62*(-3)/(-2). Suppose g*t**2 - 9 + 42/5*t = 0. What is t?
-15, 1
Let v(j) be the first derivative of -1/24*j**6 + 1/16*j**4 + 0*j + 0*j**5 + 0*j**3 + 0*j**2 + 153. Suppose v(s) = 0. What is s?
-1, 0, 1
Let k(x) be the third derivative of -5/12*x**5 + 0*x**3 - 1/210*x**7 + 0 + 1/12*x**6 - 2*x + 0*x**4 + 20*x**2. Suppose k(u) = 0. What is u?
0, 5
Factor -2717*h**2 + 6801*h**2 + 2*h**3 + 11559264*h + 4244*h**2 + 5348086144.
2*(h + 1388)**3
Let k(z) be the first derivative of 50*z**6/21 + 53*z**5/7 + 36*z**4/7 + 29*z**3/21 + z**2/7 - 2781. Let k(g) = 0. Calculate g.
-2, -1/4, -1/5, 0
Let o(c) = 2*c**2 + 53*c + 75. Let j be o(-25). Let f = -34/13 - -36/13. Factor j - f*d**5 - 6/13*d**4 - 6/13*d**3 - 2/13*d**2 + 0*d.
-2*d**2*(d + 1)**3/13
Let m be (-10)/((-350)/905) - -5. Let n(s) = 30*s - 118. Let p be n(4). Factor -48/7 - 243/7*r**p - m*r.
-3*(9*r + 4)**2/7
Let w(c) be the first derivative of -1/50*c**5 - 3/20*c**4 - 11 + 0*c + 4/3*c**3 + 0*c**2 - 1/900*c**6. Let k(p) be the third derivative of w(p). Factor k(n).
-2*(n + 3)**2/5
Let s(g) = -g**2 - 89*g + 3. Let r be s(0). Let n(v) be the third derivative of 0 + 1/210*v**5 - 2/7*v**r + 1/84*v**4 + 0*v - 14*v**2. What is l in n(l) = 0?
-3, 2
Let c(m) = 3*m**3 + 31*m**2 + 17*m + 431. Let s be c(-11). Let i = 3 - -1. Determine w so that 10/3*w - i - 2/3*w**s = 0.
2, 3
Solve -2/3*t**2 + 86/3*t - 220 = 0 for t.
10, 33
Let v(d) = -d**3 - d**2 + d + 3. Let f be v(0). Determine y, given that -30 + 22*y - 126*y + 41*y - 36*y**2 - 3*y**f = 0.
-10, -1
Let k(y) be the first derivative of -y**6/90 + y**4/24 - y**3/18 + 27*y**2/2 + y - 53. Let b(q) be the second derivative of k(q). Factor b(c).
-(c + 1)*(2*c - 1)**2/3
Let m be (-11)/22*78/(-91). What is t in 0 + 0*t + m*t**3 + 24/7*t**2 = 0?
-8, 0
Let f(v) = v**3 + 136*v**2 + 1362*v - 1623. Let m be f(-125). Solve -10/3*i - 2/3*i**m - 4 = 0 for i.
-3, -2
Factor -22*s**3 - 2688/11 - 7520/11*s - 494*s**2.
-2*(s + 21)*(11*s + 8)**2/11
Let i(r) be the second derivative of 1/36*r**4 + r + 15 + 1/90*r**5 + 0*r**3 - 20*r**2. Let q(p) be the first derivative of i(p). Factor q(u).
2*u*(u + 1)/3
Let p(w) = -w**2 + 14*w + 93. Let u be p(19). Let g(d) = 51*d + 103. Let v be g(u). Factor -13/2*n - v + n**2 + 13/2*n**3.
(n - 1)*(n + 1)*(13*n + 2)/2
Let a = 109 + -106. Factor 28*u**2 + 26*u - u**3 + 0*u**3 + a*u**3 + 72*u.
2*u*(u + 7)**2
Let d(i) = -4*i - 21. Let f be d(-10). Factor -16*s**2 + f*s**2 - 12*s + 18*s**2.
3*s*(7*s - 4)
Let j(u) = 39*u + 1. Let x be j(-1). Let m be (-32)/(-80) - x/5. Suppose 2 + 4*h**3 - 7 - 6 + m*h**2 - 4*h + 3 = 0. What is h?
-2, -1, 1
Determine y, given that 7904*y**3 + 2*y**4 - 8012*y**3 + 5120*y + 2*y**4 + 384*y**2 = 0.
-5, 0, 16
Let r = 3271/78 + -1616/39. Find c, given that 0*c + 1/2*c**4 + r*c**2 - c**3 + 0 = 0.
0, 1
Let z be 4/(-6)*((180/(-27))/4 + -1). Let q(y) be the second derivative of -8/9*y**3 - 1/90*y**5 + 0 - z*y**2 - 1/6*y**4 - 6*y. Factor q(a).
-2*(a + 1)*(a + 4)**2/9
Let b(k) be the third derivative of -k**5/120 + 755*k**4/48 + 63*k**3 - 2177*k**2. Solve b(x) = 0 for x.
-1, 756
Let g(f) = 3*f**5 + 8*f**4 - 9*f**3 + 2*f - 2. Let a(s) = -9*s**5 - 25*s**4 + 27*s**3 - 7*s + 7. Let v(i) = 2*a(i) + 7*g(i). Solve v(c) = 0 for c.
-3, 0, 1
Let t(k) = 14*k**2 + 43*k + 38. Let c(a) = -5*a**2 - 15*a - 13. Let z(r) = -11*c(r) - 4*t(r). Let n be z(-4). Factor 8 + 16*i + 8*i**2 + 4 + i**n - 12.
i*(i + 4)**2
Let i(u) be the first derivative of 5*u**4/4 - 1150*u**3/3 + 2270*u**2 - 4520*u - 275. Factor i(y).
5*(y - 226)*(y - 2)**2
Let o(d) be the second derivative of -3*d**5/80 + 9*d**4/8 - 41*d**3/8 - 45*d**2/2 + 4088*d. Factor o(i).
-3*(i - 15)*(i - 4)*(i + 1)/4
Let j = 2/2623307 + 18363141/10493228. Find t, given that 0*t**2 - 3/2 + j*t - 1/4*t**3 = 0.
-3, 1, 2
Let u be 2*((-88214)/(-12600) + -7). Let k(b) be the third derivative of -u*b**5 + 8*b**2 + 0*b**4 + 1/45*b**3 + 0*b + 0. Find c, given that k(c) = 0.
-1, 1
Let z(i) be the second derivative of 5*i - 3/5*i**5 + 1/2*i**3 + 9*i**2 - 9/4*i**4 + 0. Find s, given that z(s) = 0.
-2, -1, 3/4
Let v(p) be the second derivative of -5*p**4/24 + 505*p**3/2 - 459045*p**2/4 + 233*p. Factor v(f).
-5*(f - 303)**2/2
Let x(g) be the third derivative of g**6/40 - 3*g**5/4 - 11*g**4/4 + 48*g**3 - 3416*g**2. Factor x(w).
3*(w - 16)*(w - 2)*(w + 3)
Factor -8*m**4 - 216*m**2 - 270 + 5*m**3 - 21*m**3 - 480*m - 114 + 5*m**4 - 26*m**3.
-3*(m + 2)*(m + 4)**3
Let f = 234 - 237. Let t(q) = -5*q**3 - 5*q**2 + 7*q + 3. Let v(s) = -4*s**3 - 4*s**2 + 6*s + 2. Let c(r) = f*v(r) + 2*t(r). Factor c(b).
2*b*(b - 1)*(b + 2)
Let i(t) be the third derivative of 0*t - 25*t**2 + 0 + 0*t**4 + 1/84*t**8 - 1/10*t**6 + 4/105*t**7 + 0*t**3 + 0*t**5. Determine x so that i(x) = 0.
-3, 0, 1
Let i(z) be the second derivative of 3*z**5/20 - 56*z**4 - 225*z**3/2 - 3105*z. Factor i(h).
3*h*(h - 225)*(h + 1)
Let m = -184313 + 184316. Suppose -5/2 - 7/8*u**m + 13/2*u + 65/8*u**2 = 0. What is u?
-1, 2/7, 10
Let a(b) be the first derivative of -b**7/525 + b**6/300 + b**5/150 - b**4/60 - 22*b**2 + 32. Let s(z) be the second derivative of a(z). Factor s(r).
-2*r*(r - 1)**2*(r + 1)/5
Let z(s) be the third derivative of -s**11/266112 - s**10/30240 - s**9/16128 - 49*s**5/60 + 18*s**2. Let p(t) be the third derivative of z(t). Factor p(d).
-5*d**3*(d + 1)*(d + 3)/4
Let x be ((176/(-10))/2)/((-4)/10). Let f be -16 + x - 1*2. Factor -1038*u**4 - 3*u + 1026*u**4 - f*u**2 - 20*u**3 + 7*u.
-4*u*(u + 1)**2*(3*u - 1)
Let x(t) be the second derivative of -t**7/378 + t**6/270 + 13*t**5/90 + t**4/18 - 17*t**3/6 - 15*t**2/2 + 2052*t. Let x(q) = 0. Calculate q.
-3, -1, 3, 5
Suppose z - 218 + 48 = 0. Find q such that 212*q + 5618 - 158*q**2 + 330*q**2 - z*q**2 = 0.
-53
Let r(s) = 5*s**3 - 630*s**2 - 1883*s + 2490. Let l(p) = -p**3 + 4*p**2 + p + 2. Let q(w) = 6*l(w) + 2*r(w). Factor q(h).
4*(h - 312)*(h - 1)*(h + 4)
Let k(f) = -19*f - 24. Let q be k(-2). Let 26*w**2 + 0*w**3 - 342 + 4*w - q*w**3 + 342 = 0. What is w?
-1/7, 0, 2
Let n(q) be the second derivative of -q**8/4032 - q**7/252 + q**4/6 + 27*q**2/