derivative of y*l**3 - 2/15*l**6 + 0 + 20*l + 7/5*l**5 - 5*l**4 - 8*l**2. Determine j so that g(j) = 0.
1, 4
Let p = -173796 - -173799. Determine v, given that 112/9*v + 10/3*v**4 - 64/9 - 172/9*v**p + 184/9*v**2 = 0.
-2/3, 2/5, 2, 4
Let h(q) = -5*q - 4. Let k be h(-8). Let -13*u**5 + 6*u**3 - k*u**2 + 28*u**5 - 27*u + 2*u**4 + 10*u**4 - 18*u**5 = 0. What is u?
-1, 0, 3
Let i(t) be the first derivative of -t**3/3 - 402*t**2 - 161604*t + 1238. Factor i(q).
-(q + 402)**2
Let y(w) be the second derivative of w**5/90 + w**4 + 36*w**3 - 21*w**2 - 66*w. Let i(t) be the first derivative of y(t). Factor i(d).
2*(d + 18)**2/3
Let y(r) be the second derivative of r**4/30 - 850*r**3/3 + 903125*r**2 + 271*r + 3. Factor y(n).
2*(n - 2125)**2/5
Factor -3/7*o**2 - 450/7*o + 2808/7.
-3*(o - 6)*(o + 156)/7
Let q = -861334/5776095 + 65/4677. Let m = 16/247 - q. Suppose m + 1/5*i**4 - 1/5*i - 1/5*i**5 + 2/5*i**3 - 2/5*i**2 = 0. What is i?
-1, 1
Suppose -2*s = -5*h + 260, -5*s + 9*s = 4*h - 208. Solve h*n + 46*n - 102*n - 4*n**2 = 0.
-1, 0
Let 4 - 1/4*g + 1/4*g**3 - 4*g**2 = 0. What is g?
-1, 1, 16
Factor 1251/4*l + 1/4*l**3 - 627/4*l**2 - 625/4.
(l - 625)*(l - 1)**2/4
Let d(q) be the third derivative of 0*q**3 + 1/70*q**6 - 1/490*q**7 + 0*q - 247*q**2 + 0*q**5 + 0*q**4 + 0. Factor d(g).
-3*g**3*(g - 4)/7
Let c(u) be the second derivative of u**4/12 + 1189*u**3/24 + 297*u**2/8 - 631*u. Suppose c(a) = 0. Calculate a.
-297, -1/4
Let t(h) be the second derivative of -7/20*h**6 - 67/120*h**5 - 74*h - 2/3*h**2 + 1/3*h**3 + 7/4*h**4 + 0. Find d such that t(d) = 0.
-2, -2/7, 2/9, 1
Let x(a) be the first derivative of -a**5/20 - 63*a**4/4 - 3969*a**3/2 - 250047*a**2/2 - 15752961*a/4 - 2199. Solve x(f) = 0 for f.
-63
Let a = -98 + 102. Factor 4*b**5 - 193*b**2 - 16*b**4 + a*b**3 + 118*b**2 + 99*b**2.
4*b**2*(b - 3)*(b - 2)*(b + 1)
Let x = -136 + 118. Let b be (3/9)/((-3)/x). Factor -2*u**2 - 16 + 2*u**b - 4*u**2 + 16*u**2 + 16*u.
4*(u + 2)*(3*u - 2)
Factor -183*p - 52*p + 4*p**2 - 197*p - 1530 + 13194.
4*(p - 54)**2
Let g(h) be the third derivative of h**11/66528 - h**9/4032 + h**8/2016 - 137*h**5/60 + 96*h**2. Let j(z) be the third derivative of g(z). Factor j(m).
5*m**2*(m - 1)**2*(m + 2)
Factor -27378 - 1/8*m**2 + 117*m.
-(m - 468)**2/8
Let i(t) = 4*t**2 - 2 - 950*t + 950*t. Let d(p) = 5*p**2 + p - 3. Suppose -4*n = -2*n - 6. Let k(j) = n*i(j) - 2*d(j). Factor k(a).
2*a*(a - 1)
Let r(w) be the first derivative of 2*w**5/5 + 5*w**4/2 - 146*w**3/3 + 127*w**2 - 120*w + 1072. Find i such that r(i) = 0.
-12, 1, 5
Suppose 4*z = -2*v + 20, 6*z - 7*z = -4*v - 5. Let -8*s**3 - s**z - 907*s**2 - 7*s**4 + 898*s**2 - 7*s**3 = 0. What is s?
-3, -1, 0
Let w(a) be the second derivative of -a**4/24 - 3*a**3 + 63*a**2 - 46*a - 1. Factor w(o).
-(o - 6)*(o + 42)/2
Let h(m) be the third derivative of 264*m**2 + 49/64*m**4 + 0*m + 0 - 1/320*m**6 - 7/80*m**5 - 17/8*m**3. Find v such that h(v) = 0.
-17, 1, 2
Let g = 27 + -33. Let j(r) = 5*r - 27 - 2*r + 9*r - 9*r**2. Let u(q) = q**2 + q. Let c(i) = g*u(i) - j(i). Determine x, given that c(x) = 0.
3
Let b be 1 + (-6835)/(-30150) + 1. Let r = b + -3/670. Factor 0 + 8/9*j + r*j**2.
4*j*(5*j + 2)/9
Let h(k) be the second derivative of -k**5/60 + 49*k**4/3 + 100*k - 1. Factor h(l).
-l**2*(l - 588)/3
Let o(s) be the third derivative of -s**5/20 - 9*s**4/2 - 35*s**3/2 + 1638*s**2. What is u in o(u) = 0?
-35, -1
Let u(y) = 13*y - 1. Let z be u(1). Let -15*f**3 + z*f - 197*f**4 + 197*f**4 + 3*f**5 = 0. Calculate f.
-2, -1, 0, 1, 2
Factor -1438 - 68*l**2 - 362 + 2*l**3 - 152080*l + 152770*l.
2*(l - 15)**2*(l - 4)
Let y = 7169/21372 + -15/7124. Suppose 4*z - 2*z - 23 = -5*n, 5*z + 4*n - 32 = 0. Suppose 0 + 2*f**2 + 2*f**z + 11/3*f**3 + y*f = 0. What is f?
-1, -1/2, -1/3, 0
Let r(h) be the first derivative of -91 + 43/4*h + 1/12*h**3 - 11/2*h**2. Factor r(z).
(z - 43)*(z - 1)/4
Let r(g) be the third derivative of -g**5/270 + 119*g**4/6 - 42483*g**3 + g**2 + 5*g - 9. Factor r(n).
-2*(n - 1071)**2/9
Let s be ((-100)/(-3250))/(4/13). Let n(m) be the first derivative of 2/15*m**3 + 1/20*m**4 + 0*m + s*m**2 + 2. Factor n(d).
d*(d + 1)**2/5
Let q(u) be the second derivative of 1/10*u**6 + 3/2*u**4 - 2*u**3 + 3/4*u**5 - 1 - 7*u - 12*u**2. Factor q(f).
3*(f - 1)*(f + 2)**3
Let n(r) be the first derivative of -23/2*r**2 + 5/12*r**3 + 187 + 9*r. Solve n(q) = 0.
2/5, 18
Let k = 176 - 173. Suppose 64 - l**4 + 2*l - 59 + 4*l - 4*l**2 - 6*l**k + 0*l = 0. What is l?
-5, -1, 1
Let f = -311282 - -1562059/5. Let a = -1125 + f. Suppose -3/5*k**2 + 6/5*k + a = 0. Calculate k.
-2, 4
Let g(t) be the second derivative of t**7/21 + 17*t**6/5 - 354*t**5/5 + 1472*t**4/3 - 1664*t**3 + 3024*t**2 + 9*t + 622. Factor g(u).
2*(u - 6)*(u - 2)**3*(u + 63)
Let y(g) = -g**3 + 5*g**2 - 1. Let n(q) = 50176*q**4 - 1342*q**3 - q**2 + 2. Let u(z) = -n(z) - 2*y(z). Factor u(d).
-d**2*(224*d - 3)**2
Find h, given that -4*h**3 + 480 - 8265*h**2 + 6*h + 16258*h**2 - 8229*h**2 + 242*h = 0.
-60, -1, 2
Let f be 2 - (36/4)/9. Find j, given that -9 + f + 10*j**2 - 63*j + 37*j + 2*j + 4*j**2 = 0.
-2/7, 2
Let t(n) be the first derivative of -n**4/4 - 22*n**3/9 + 43*n**2/6 - 6*n + 138. Find c such that t(c) = 0.
-9, 2/3, 1
Let x(d) be the second derivative of 1/9*d**3 + 2/45*d**6 - 1/9*d**4 + 0*d**2 - 1/63*d**7 + 0 + 110*d + 0*d**5. Factor x(c).
-2*c*(c - 1)**3*(c + 1)/3
Let h(k) be the third derivative of -1/10*k**6 - 1/14*k**7 + 0*k + 1/2*k**4 + 1/56*k**8 - 2*k**3 + 11/20*k**5 + 0 - 86*k**2. Suppose h(d) = 0. Calculate d.
-1, 1/2, 2
Let f(a) = -a**3 + 4*a**2 + 2*a - 3. Let h be (0 + -1)/((-7)/28). Let s be f(h). Factor s*m - 2*m + m**2 - 3*m**2 + 3*m.
-2*m*(m - 3)
Let d(i) be the first derivative of -i**2 + 19*i + 5. Let u be d(8). Factor -92*k**4 + 96*k**4 + 12*k**u + 8*k**2 + 0*k**2.
4*k**2*(k + 1)*(k + 2)
Suppose -229*w - 85*w + 3140 = 0. Find s such that 34*s - 9/2*s**3 - w*s**2 + 8 = 0.
-4, -2/9, 2
Let o(n) be the second derivative of n**5/240 - 91*n**4/48 + 8281*n**3/24 + 109*n**2/2 - 2*n - 95. Let u(h) be the first derivative of o(h). Factor u(f).
(f - 91)**2/4
Let v(t) be the first derivative of t**5/180 + t**4/24 - 3*t**2/2 - 8*t + 23. Let j(i) be the second derivative of v(i). Factor j(u).
u*(u + 3)/3
Factor 4*b**2 + 2*b**2 - 130*b + 9*b - 5*b**2 + 27 - 527.
(b - 125)*(b + 4)
Let s(c) = -8293*c**2 - 26*c - 5. Let h(x) = -29025*x**2 - 86*x - 17. Let d(w) = -5*h(w) + 17*s(w). Factor d(z).
4*z*(1036*z - 3)
Let l be (44/(-11))/((-2)/121). Suppose 3*w**5 + 20*w**3 - 27 - l*w**4 + 22*w**3 + 6*w**2 - 45*w + 263*w**4 = 0. Calculate w.
-3, -1, 1
Determine c, given that 14/5*c**4 + 96*c**2 - 1024/5 + 152/5*c**3 + 128/5*c = 0.
-4, 8/7
Let c be (5 + -5)/4 - (-4 - 1). Let w(a) be the third derivative of 0 - 3/32*a**4 + 0*a - 2*a**2 + 7/80*a**c + 1/280*a**7 - 1/32*a**6 + 0*a**3. Factor w(d).
3*d*(d - 3)*(d - 1)**2/4
Let f be (-2)/(-8 + 3/((-168)/(-707)) - 5). Let s be (-6)/9 + 34/6. Factor -f + 8/3*a - 8/3*a**3 + s*a**2 + 1/3*a**4.
(a - 4)**2*(a - 1)*(a + 1)/3
Let y = 335 - 335. Let b be ((-15)/36 - y)/(5/(-3)). What is x in b*x**3 + 15/4*x + 7/4*x**2 + 9/4 = 0?
-3, -1
Suppose -219 + 57 = -9*d. Factor -d + 67*q + 90*q - 42*q**2 + 12*q**4 - 238*q + 30*q + 3*q**5.
3*(q - 2)*(q + 1)**3*(q + 3)
Let j(v) = 10*v**2 - 365*v - 1090. Let d(f) = 19*f**2 - 727*f - 2181. Let m(r) = -5*d(r) + 9*j(r). Factor m(w).
-5*(w - 73)*(w + 3)
Suppose -2*z = 2*c - 36, 2*z + 2*c = -2*z + 70. Suppose -z - 1 = -3*h. Determine d so that -d**5 - 30*d**4 - 5*d**3 + 2*d**2 + h*d**3 + 28*d**4 = 0.
-2, -1, 0, 1
Let c(h) be the second derivative of 5*h**2 + 0 - 1/2*h**4 - 7*h - 14/3*h**3. Factor c(m).
-2*(m + 5)*(3*m - 1)
Let h(i) be the third derivative of i**5/90 + 83*i**4/18 + 6889*i**3/9 + 301*i**2 + 2. Factor h(v).
2*(v + 83)**2/3
Let d(g) be the first derivative of g**6/90 + 4*g**5/3 - 41*g**4/6 - 58*g**3/3 + 121. Let f(r) be the third derivative of d(r). Factor f(b).
4*(b - 1)*(b + 41)
Let z(x) be the third derivative of -x**7/1785 - x**6/204 + 13*x**5/510 - 7*x**4/204 - 2469*x**2. Factor z(f).
-2*f*(f - 1)**2*(f + 7)/17
Suppose -20 = -10*f - 0. Factor -f*h**3 + 87*h**3 + 155*h**2 - 22*h - 5*h**4 + 102*h - 15*h**3.
-5*h*(h - 16)*(h + 1)**2
Factor -359552/15 - 2/15*x**2 - 1696/15*x.
-2*(x + 424)**2/15
Let q(b) be the second deri