794/2985 + 247/597. Factor l*m**2 + 9/5*m**3 + 18/5*m + 0.
3*m*(m + 6)*(3*m + 1)/5
Let l(j) = 7*j**2 - 11*j - 3. Let t(f) = -13*f**2 + 21*f + 5. Let o = 129 - 126. Let d(v) = o*t(v) + 5*l(v). Solve d(y) = 0.
0, 2
What is h in -1/4*h**2 - 53*h - 208 = 0?
-208, -4
Let j(p) be the second derivative of p**4/12 - 17*p**3/6 + 16*p**2 + 45*p. Let y be j(15). Suppose -1 + 479*n**2 + 2 - 478*n**y - 2*n = 0. What is n?
1
Let g be ((-2)/(-15))/(244/(-10) + 80 + -55). Factor 0 + g*o**3 - 8/9*o**2 + 8/9*o.
2*o*(o - 2)**2/9
Let m be ((-5)/(-2))/(18/108). Suppose -m*i + 6*i = -36. Factor -21*v**4 + 13*v**4 + 11*v**i.
3*v**4
Let f(w) be the second derivative of 16*w - 28/15*w**3 - 26/5*w**2 - 3 - 1/15*w**4. Factor f(u).
-4*(u + 1)*(u + 13)/5
Let l(c) be the second derivative of -12*c**3 + 216*c**2 + 12*c - 4. Let k be l(6). Determine v so that 3/2*v**3 + 0*v + k - 9/2*v**2 = 0.
0, 3
Let i be (2/(-30))/(5/(-30)). Let x(n) = -n**2 - 214*n - 2040. Let k be x(-10). Factor 2/5*c + k - i*c**2.
-2*c*(c - 1)/5
Let n(x) be the second derivative of x**6/10 + 243*x**5/10 + 6229*x**4/4 - 13446*x**3 + 41334*x**2 + 1004*x. Factor n(t).
3*(t - 2)**2*(t + 83)**2
Find v, given that -6*v**2 - 432/11*v - 800/11 - 2/11*v**3 = 0.
-25, -4
Let n be (-14)/(-21) + (-164)/(-6). Suppose -3*l + 5*b = -11, 9*b + 8 = 5*l + 11*b. Factor 5 - n*v + 16*v**l - 3 + 10*v.
2*(v - 1)*(8*v - 1)
Let d(h) be the first derivative of 2*h + 30 - 2/9*h**3 + 2/3*h**2. Let d(o) = 0. Calculate o.
-1, 3
Let o(g) be the first derivative of 2*g**5/25 + 7*g**4/2 + 364*g**3/15 + 232*g**2/5 - 6208. Find n such that o(n) = 0.
-29, -4, -2, 0
Factor -47*r - 42*r + 21*r + 19 - 54*r - 216*r**2 + 65 - 10*r**3.
-2*(r + 1)*(r + 21)*(5*r - 2)
Let z(d) = 1242*d + 134152. Let n be z(-108). Factor -2/3*g**2 - n + 20/3*g.
-2*(g - 6)*(g - 4)/3
Let k(q) = 10*q**4 - 116*q**3 + 168*q**2 - 14*q - 34. Let z(u) = -3*u**2 - u - 3. Let j(c) = 2*k(c) + 4*z(c). Solve j(h) = 0.
-2/5, 1, 10
Let a(i) be the second derivative of i**7/21 - 8*i**6/45 - 7*i**5/6 + 34*i**4/9 + 44*i**3/9 - 16*i**2 - 1224*i. Suppose a(z) = 0. Calculate z.
-3, -1, 2/3, 2, 4
Let z be -2*(-1)/(5/(-10)). Let c be 7/3 + (-4)/(z - -16). Factor 16*m - 7 - 2 - 3 - 4*m**c.
-4*(m - 3)*(m - 1)
Solve -69*h + 40*h**2 - 152*h**2 + 171 + 32*h**3 + 87*h - 9 = 0.
-1, 9/4
Let 497*w + 156 + 269 + 71 + 2691740*w**2 - 2691739*w**2 = 0. What is w?
-496, -1
Let y(o) be the third derivative of o**11/1330560 + o**10/151200 + o**9/80640 + 2*o**5/15 + 14*o**2 + 1. Let v(p) be the third derivative of y(p). Factor v(n).
n**3*(n + 1)*(n + 3)/4
Let c = -495 - -497. Suppose -5*z + 16 = -2*s, 5*z - c = s + 11. Factor 1/5*j**5 - 4/5*j + 8/5*j**z + 0 - 2/5*j**4 - 3/5*j**3.
j*(j - 2)*(j - 1)**2*(j + 2)/5
Let v(u) be the second derivative of 4/15*u**6 - 6 + 29/5*u**5 - u - 337/12*u**3 + 195/8*u**4 + 11*u**2. Let v(y) = 0. Calculate y.
-11, -4, 1/4
Suppose 5*q - 1 = -3*a, 4*a - 2*q = 5*a. Let v = 226 + -1126/5. Factor -v*r - 4/5*r**a + 8/5.
-4*(r - 1)*(r + 2)/5
Let y(c) be the second derivative of -c**5/4 + 345*c**4/4 - 18025*c**3/2 + 53045*c**2/2 - 5714*c + 2. Factor y(u).
-5*(u - 103)**2*(u - 1)
Let j(z) be the third derivative of -z**5/15 - 127*z**4/3 + 1024*z**3/3 - 6738*z**2. Solve j(r) = 0 for r.
-256, 2
Let m(l) be the second derivative of -l**6/324 + l**5/30 + 2*l**4/27 - 28*l**3/3 - l**2 + 96*l. Let u(g) be the second derivative of m(g). Solve u(x) = 0 for x.
-2/5, 4
Let a(t) be the first derivative of -t**3 - 1008*t**2 + 1574. Factor a(r).
-3*r*(r + 672)
Let z(m) be the third derivative of -12*m**2 + 4/21*m**3 - 1/84*m**6 - 1/42*m**5 + 1/735*m**7 + 0 + 1/21*m**4 + 1/1176*m**8 + 0*m. Solve z(h) = 0.
-2, -1, 1, 2
Let l(b) be the third derivative of 0*b**3 + 13*b**2 + 2 + 1/4*b**4 + 4/15*b**5 + 0*b. Suppose l(j) = 0. Calculate j.
-3/8, 0
Let g(x) be the second derivative of x**7/21 + 374*x**6/15 - 753*x**5/5 + 1132*x**4/3 - 1511*x**3/3 + 378*x**2 - 258*x. Solve g(n) = 0 for n.
-378, 1
Let f(v) be the second derivative of v**4/6 - 442*v**3/3 + 1317*v**2 - 8*v - 478. Factor f(h).
2*(h - 439)*(h - 3)
Let w(l) be the first derivative of l**4/36 - 4*l**3/27 - 25*l**2/18 + 28*l/9 - 1853. Suppose w(s) = 0. Calculate s.
-4, 1, 7
Suppose 406*y - j = 402*y + 10, 4*y = -j + 6. Determine w, given that 2/3*w**3 + 0 + 0*w + 4/3*w**4 - 2/3*w**y = 0.
-1, 0, 1/2
Let i(l) = -1869*l - 39245. Let x be i(-21). Factor 0*w**2 - 17/2*w**x + 0*w**3 + 0 + 0*w + 1/2*w**5.
w**4*(w - 17)/2
Let g(n) be the third derivative of -n**8/10080 + n**7/168 + 2*n**6/45 - n**5/15 + 3*n**3/2 - 5*n**2 - 3. Let w(x) be the third derivative of g(x). Factor w(i).
-2*(i - 16)*(i + 1)
Let g = 48158/114285 + -2/6015. Let v = -179097/5 - -3402883/95. Determine x, given that -v*x**3 - 2/19 - g*x - 12/19*x**2 - 2/19*x**4 = 0.
-1
Let w(h) = 7*h + 11*h + 1733*h**2 + 15 - 1727*h**2. Let d(z) = 7*z**2 + 19*z + 16. Let l(a) = -3*d(a) + 4*w(a). Suppose l(c) = 0. What is c?
-4, -1
Let c(u) be the second derivative of -u**7/7980 - 2*u**6/855 + 3*u**5/380 - 43*u**3/6 - 15*u + 1. Let n(p) be the second derivative of c(p). Factor n(q).
-2*q*(q - 1)*(q + 9)/19
Let b(y) = -6*y**3 + 9*y**2 + 126*y + 1470. Let c(q) = 3*q**3 - 63*q - 735. Let k(j) = 3*b(j) + 7*c(j). Factor k(m).
3*(m - 5)*(m + 7)**2
Let b(y) be the first derivative of -4*y**5/35 + 9*y**4/7 + 92*y**3/21 - 18*y**2/7 - 88*y/7 - 8752. Solve b(s) = 0 for s.
-2, -1, 1, 11
Let k = -33 + 17. Let c = k - -46. Find o such that -4*o + 5*o**2 - 6*o + 5*o - c = 0.
-2, 3
Let w(f) be the first derivative of -2*f**3/21 + 54*f**2/7 + 272*f - 14706. Suppose w(a) = 0. Calculate a.
-14, 68
Let a(g) be the third derivative of g**5/40 + 57*g**4/8 + 3249*g**3/4 + 2*g**2 - 70*g. Factor a(y).
3*(y + 57)**2/2
Let x be 4*(503/44 + (-4)/22). Let t be (-2)/6 - (-105)/x. Factor 15*z + 5*z**3 + 435 - 20*z**t - 435.
5*z*(z - 3)*(z - 1)
Let d(b) = -5*b**5 - 7*b**2 - 14*b**3 + b**4 + 13*b**3 - 3*b + 9*b + 6. Let g(w) = w**5 + w**2 - w - 1. Let a(h) = -5*d(h) - 30*g(h). Factor a(p).
-5*p**2*(p - 1)*(p + 1)**2
Let 5/2*a**2 - 5/6*a**3 + 40/3*a + 10 = 0. Calculate a.
-2, -1, 6
Let x(p) = p**2 - 7*p + 1. Let v = 12 + -17. Let s(j) = -149*j - 1 + j**2 - 3*j**2 + 157*j + j**2. Let l(f) = v*s(f) - 6*x(f). Determine h, given that l(h) = 0.
1
Let z(i) = 2*i**2 + 1504*i - 1496. Let l(b) = -5*b**2 - 3010*b + 2993. Let n(m) = -5*l(m) - 11*z(m). Solve n(v) = 0 for v.
1, 497
Let p(g) be the second derivative of g**5/70 - 5*g**4/14 + 44*g**3/21 + 60*g**2/7 - 2597*g. Factor p(b).
2*(b - 10)*(b - 6)*(b + 1)/7
Let v(t) = 20*t**4 + 9*t**3 - 352*t**2 - 84*t. Let r(o) = -180*o**4 - 80*o**3 + 3160*o**2 + 755*o. Let m(q) = 4*r(q) + 35*v(q). Factor m(y).
-5*y*(y - 4)*(y + 4)*(4*y + 1)
Let f(i) = 6*i**2 + 36*i - 6. Let d(u) = -u**2 - 7*u + 1. Let s(o) = 11*d(o) + 2*f(o). Let a(q) = -q**2 + 6*q + 1. Let k(v) = -5*a(v) - 6*s(v). Factor k(m).
-(m - 1)*(m + 1)
Let w(h) be the first derivative of 5*h**6/6 - 58*h**5 + 415*h**4/2 - 260*h**3/3 - 835*h**2/2 + 550*h - 2648. Solve w(m) = 0 for m.
-1, 1, 2, 55
Let f(c) = c**2 - 2*c - 6. Let j be 3 - (-6 - 1)/7. Let x be f(j). Factor -8/5*u - 2/5*u**x + 2.
-2*(u - 1)*(u + 5)/5
Let -2925*d - 11*d**2 + 231 + 10*d**2 + 2444 + 6*d**2 + 245 = 0. Calculate d.
1, 584
Factor 1232 + 3854*q - 2174*q - 1980*q - 2*q**2.
-2*(q - 4)*(q + 154)
Let b(i) be the first derivative of -i**4/4 - 20*i**3 - 1779. Factor b(h).
-h**2*(h + 60)
Let 18496/7 - 3400/7*s + 152/7*s**2 - 2/7*s**3 = 0. Calculate s.
8, 34
Suppose 55*o - 648 = o. Let u = -7 - -11. Determine q, given that 13 + o*q - 3 + u*q**2 - 2*q**2 = 0.
-5, -1
Let o(p) be the third derivative of p**2 - 1/12*p**5 + 15/4*p**4 + 0*p + 95/6*p**3 + 17. Find k such that o(k) = 0.
-1, 19
Let o = 9643/1113 + -469/159. Let -2/7*j**2 + o + 2/7*j = 0. Calculate j.
-4, 5
Suppose 5*q - 27 = -h, -146*q - 15 = -149*q. Let i(s) be the third derivative of 0*s - 1/15*s**5 + 0*s**4 + 0 - 2*s**h + 0*s**3 + 1/60*s**6. Factor i(k).
2*k**2*(k - 2)
Let s(q) be the first derivative of -646*q**2 + 148/3*q**3 - 1444*q - q**4 + 73. Factor s(a).
-4*(a - 19)**2*(a + 1)
Find i such that 11880*i**3 + 888 + 29285*i**2 + 6 - 23*i**4 + 566 + 12420*i + 103*i**4 = 0.
-146, -2, -1/4
Factor 2/5*p**2 - 454/5 - 452/5*p.
2*(p - 227)*(p + 1)/5
Determine a, given that -2368/7*a - 4406/7*a**2 - 3614/7*a**3 - 1122/7*a**4