 - 13)*(i + 39)
Let s be (-30)/(-11) - 3 - 7/((-385)/235). Let m = 794/245 + -2/49. Factor -2/5*f**s - 14/5*f**3 - m*f + 0 - 28/5*f**2.
-2*f*(f + 1)*(f + 2)*(f + 4)/5
Let q be 3/(((-1)/2 - 1)*368/(-552)). Suppose 0*k + 4/5*k**5 - 6/5*k**4 - 4/5*k**q - 2/5 + 8/5*k**2 = 0. What is k?
-1, -1/2, 1
Let r(o) be the third derivative of o**8/28 - 2*o**7/15 - 19*o**6/30 - o**5/3 + 2*o**4/3 + 6*o**2 + 14. Let r(w) = 0. What is w?
-1, 0, 1/3, 4
Let w(p) be the first derivative of p**5/5 - 11*p**4/4 + 38*p**3/3 - 20*p**2 - 271. Factor w(v).
v*(v - 5)*(v - 4)*(v - 2)
Let g(b) be the second derivative of -b**7/280 + b**6/30 + 11*b**5/40 + 3*b**4/4 + 14*b**3 - 98*b. Let r(y) be the second derivative of g(y). Factor r(v).
-3*(v - 6)*(v + 1)**2
Let b(c) = -38*c**2 - 1200*c + 168. Let h(a) = -2*a**2 - a + 2. Let f(x) = b(x) - 4*h(x). Factor f(q).
-2*(q + 40)*(15*q - 2)
Factor 42*w + 30 + 66/5*w**2 + 6/5*w**3.
6*(w + 1)*(w + 5)**2/5
Let h(g) be the second derivative of -2/3*g**4 + 4 + 25*g + 0*g**2 + 0*g**3 + 1/15*g**6 + 3/10*g**5. Suppose h(x) = 0. What is x?
-4, 0, 1
Let k be (-1)/((-4)/(-216)*-3). Suppose 0 = 13*o - 19*o + k. Factor 0*j + 3*j - 2*j**4 + 6 + j**4 + 4*j**4 - 9*j**2 - o*j**3.
3*(j - 2)*(j - 1)*(j + 1)**2
Suppose 84 = 3767*z - 1860*z - 1865*z. Factor 24*o**z - 3/2*o**3 + 0*o + 0.
-3*o**2*(o - 16)/2
Let v = -368007 + 368025. Find y, given that -27*y**2 - 4 + 23/2*y**3 - 9/2*y**5 + 6*y**4 + v*y = 0.
-2, 2/3, 1
Let b(i) = i - 8. Let g be b(10). Find q, given that -16 - 28*q**2 + g - 3 + 1 - 64*q = 0.
-2, -2/7
Let n(a) be the first derivative of -3*a**4/20 + 4341*a**3/5 - 18844281*a**2/10 + 9089224869*a/5 - 11213. Suppose n(r) = 0. Calculate r.
1447
Let f = -2630608/3 - -876870. Determine n so that -10*n - 100/3 - f*n**2 = 0.
-10, -5
Let x = 17 - 9. Let v = 336 - 332. Factor -v*l**2 - 3*l**3 - 3*l**3 + x*l**2 + 2*l**3.
-4*l**2*(l - 1)
Let a(w) be the first derivative of w**5/15 - 5*w**4/6 - 85*w**3/9 - 85*w**2/3 - 32*w + 5287. Find k, given that a(k) = 0.
-3, -2, -1, 16
Let j(f) be the second derivative of -f**7/105 - 71*f**6/75 - 7*f**5/5 + f + 3111. Factor j(w).
-2*w**3*(w + 1)*(w + 70)/5
Suppose 228*r + 60 = 227*r. Let f be (15/r)/((-3)/16). Factor -1/3*q**4 - 2*q**3 - 4*q - f - 13/3*q**2.
-(q + 1)**2*(q + 2)**2/3
Suppose -80*t - 515 = -9155. Let n be ((-88)/20 + 5)/(t/40). Determine s, given that 0 - n*s**4 + 0*s**3 + 2/9*s**2 + 0*s = 0.
-1, 0, 1
Let q(c) be the third derivative of 5*c**7/189 - 127*c**6/108 + 983*c**5/135 - 179*c**4/9 + 88*c**3/3 + 1738*c**2 + 1. Determine b so that q(b) = 0.
1, 6/5, 22
Solve -800/9*n - 116/3 - 32/3*n**3 + 4/9*n**4 - 184/3*n**2 = 0 for n.
-3, -1, 29
Let z(d) be the first derivative of -d**4/14 - 6*d**3/7 + 216*d**2/7 - 216*d + 1860. Factor z(a).
-2*(a - 6)**2*(a + 21)/7
Let h be ((-5)/(2470/104))/((-6)/57). Let j(b) = 4*b + 3. Let m be j(3). Solve -m*a + 3/2*a**h + 75/2 = 0.
5
Let l(j) = -45*j**2 - 8*j - 16. Let i be l(-2). Let f = -1618/9 - i. Solve -f*p**2 - 8 - 8/3*p = 0.
-6
Let b(k) = -12*k**2 - 6 + 1 + 2 + 0 - 10*k + 5. Let v(u) = -u**3 - 25*u**2 - 19*u + 5. Let q(f) = -10*b(f) + 4*v(f). Suppose q(z) = 0. What is z?
-1, 0, 6
Let q(m) be the third derivative of -m**5/150 + 53*m**4/5 - 33708*m**3/5 - 349*m**2. Factor q(c).
-2*(c - 318)**2/5
Let w be -8 - (-836)/(-110) - -16. Find f, given that -72/5 - 32/5*f + w*f**2 = 0.
-2, 18
Let r(g) be the second derivative of g**4/2 - g**3 - g**2 - 91*g. Let b(d) = d**2 + d + 1. Let w(p) = -10*b(p) + r(p). Factor w(i).
-4*(i + 1)*(i + 3)
Suppose -58*d + 249 = -61*d. Let j = 88 + d. Factor j*f**2 - 25*f**2 + 10*f**4 + 15*f**3 - 20*f - f**5 - 4*f**5.
-5*f*(f - 2)**2*(f + 1)**2
Suppose 308 = -u + 770. Factor 3*l - u - 4*l**2 + 462 + l.
-4*l*(l - 1)
Let f be 52/39*180/8. Suppose -6 = -3*g + 3*u, -5*g - 27*u = -f*u - 6. Solve -1/2*w**5 + 3/2*w**4 + 0*w + g - 3/2*w**3 + 1/2*w**2 = 0.
0, 1
Let y(s) be the first derivative of 21*s**5/2 + 40*s**4 - 205*s**3/6 - 80*s**2 + 50*s - 1495. Suppose y(x) = 0. What is x?
-10/3, -1, 2/7, 1
Let t(j) be the first derivative of -1/2*j**3 - 1/8*j**4 - j + 4 + 5/4*j**2 + 1/10*j**5. Factor t(g).
(g - 1)**3*(g + 2)/2
Let p(k) be the third derivative of -k**7/735 + 23*k**6/105 - 73*k**5/35 + 3*k**4 + 261*k**3/7 - 2556*k**2. Let p(b) = 0. Calculate b.
-1, 3, 87
Let d be (((-3)/(-18))/((-19)/(-114)))/(2/6). Let g(j) be the first derivative of -4/7*j**d + 5/7*j**2 + 32 + 1/14*j**4 + 0*j. Factor g(m).
2*m*(m - 5)*(m - 1)/7
Let y = -544 + 547. Factor 10*b + 5*b - 14*b**2 + b + b - y + 0.
-(b - 1)*(14*b - 3)
Let y be ((-288)/(-6) + -48)/(-1). Solve y - 8/9*f**4 - 148/9*f**2 - 26/3*f**3 + 14/3*f = 0 for f.
-7, -3, 0, 1/4
Let d(l) be the second derivative of 0 + 0*l**2 - 1/12*l**4 - 5/6*l**3 - 1/180*l**6 + 1/30*l**5 - 7*l. Let v(t) be the second derivative of d(t). Factor v(s).
-2*(s - 1)**2
Suppose 21*o = -26*o + 49*o. Let t(f) be the third derivative of 0 - 1/300*f**6 + 1/50*f**5 - 1/30*f**4 + o*f - 19*f**2 + 0*f**3. Find b such that t(b) = 0.
0, 1, 2
Let r be (3776/15)/((-13)/(195/(-6))). Let j = r + -629. What is o in -j*o**3 + 0*o**2 - 1/9*o**4 + 0 + 4/9*o = 0?
-2, 0, 1
Let g(d) = -90*d - 41. Let o be g(7). Let f = o + 2029/3. Factor 5/3*t**2 + 1 - f*t.
(t - 3)*(5*t - 1)/3
Suppose 56*r = 33*r + 7774. Let m be ((-9)/4)/(r/(-624)). Factor -18/13*h**2 - 54/13*h - 2/13*h**3 - m.
-2*(h + 3)**3/13
Let a(d) = -10*d**2 - 4*d - 3. Let m be a(5). Let t = 273 + m. Factor 2/7*h**3 + t + 8/7*h**2 + 8/7*h.
2*h*(h + 2)**2/7
Let v be (3 - 1463/484) + (-30)/(-110). Let 5/4*j**2 - j**3 - 1/2*j + v*j**4 + 0 = 0. What is j?
0, 1, 2
Let x = 43392 + -43392. What is k in -26/5*k**3 - 2*k**4 - 16/5*k + 52/5*k**2 + x = 0?
-4, 0, 2/5, 1
Let k(d) = d**3 + 11*d**2 + 58*d + 1404. Let z be k(-14). Factor 2/11*v**z + 0 + 0*v + 2/11*v**2 - 4/11*v**3.
2*v**2*(v - 1)**2/11
Let v be 18 + 69/4 + 14/8. Suppose -v*j + 21*j = 0. Factor 1/3*r + 2/3*r**3 + j + 5/6*r**2 + 1/6*r**4.
r*(r + 1)**2*(r + 2)/6
Factor -26*o**2 + 384 + 24*o**2 - 272*o + 53*o**2 - 4*o**3 + 9*o**2.
-4*(o - 8)*(o - 4)*(o - 3)
Factor -536406*m**2 - 106923596*m - 897*m**3 + 0 - 1/2*m**4.
-m*(m + 598)**3/2
Let u(r) be the third derivative of -r**7/630 + r**6/60 + 7*r**5/180 - 178*r**2 + 2. Find f, given that u(f) = 0.
-1, 0, 7
Suppose -11*q - 2 = 2 - 26. Let m(j) be the first derivative of 0*j**q + 0*j - 7 + 0*j**3 - 1/16*j**4 - 1/10*j**5 - 1/24*j**6. Find i such that m(i) = 0.
-1, 0
Let a(w) be the third derivative of 0*w + 0 - 2057/12*w**4 + 147*w**2 - 1/105*w**7 - 7/12*w**6 - 143/10*w**5 - 2662/3*w**3. Factor a(p).
-2*(p + 2)*(p + 11)**3
Factor 500/7*u**4 + 1/7*u**5 + 0 - 36000*u**2 + 61492/7*u**3 + 36288*u.
u*(u - 2)**2*(u + 252)**2/7
Let n(r) be the second derivative of 27/2*r**2 + 19*r - 1/15*r**5 + 0 + r**4 + 0*r**3. Let y(h) be the first derivative of n(h). Factor y(q).
-4*q*(q - 6)
Let q(s) be the second derivative of s**7/210 - 43*s**6/150 + 241*s**5/50 - 199*s**4/30 - 161*s**3/10 + 441*s**2/10 + 10*s + 282. Let q(x) = 0. What is x?
-1, 1, 21
Let g = 1401 - 1389. Let z be ((-2)/g)/(76/(-285)). Suppose 0 + 3/8*t**2 + z*t = 0. What is t?
-5/3, 0
Let y(n) be the first derivative of -4*n**5/15 + 11*n**4/6 - 4*n**3/9 - 23*n**2 + 60*n - 2867. Suppose y(v) = 0. Calculate v.
-5/2, 2, 3
Let -2*q**4 + 703524*q**2 + 12*q**4 + 5763*q**3 + 6178816*q + 6337*q**3 - 6886*q**3 + 2359296 = 0. Calculate q.
-256, -9, -2/5
Let i(w) be the first derivative of -3/10*w**2 - 1/20*w**4 + 85 + 4/15*w**3 + 0*w. Find f, given that i(f) = 0.
0, 1, 3
Factor 48/5 - 2/5*n**2 + 4/5*n.
-2*(n - 6)*(n + 4)/5
Let j(g) be the first derivative of -1/90*g**5 + 1/6*g**4 + 0*g + 29/2*g**2 - 5/9*g**3 + 33. Let v(t) be the second derivative of j(t). Solve v(p) = 0.
1, 5
Let v = -3/22448 - -22739833/67344. Let p = 339 - v. Determine b so that -8/3*b + 4/3*b**4 - p + 0*b**2 + 8/3*b**3 = 0.
-1, 1
Factor -37211*l + 100712 + 26472 - 1167*l**2 - 3*l**3 + 0*l**3 - 13109 - 75694*l.
-3*(l - 1)*(l + 195)**2
Let x(v) be the second derivative of 6769*v**4/20 - 974*v**3/5 + 6*v**2/5 + 1568*v. Suppose x(l) = 0. What is l?
2/967, 2/7
Let b(z) = -257*z - 8733. Let t be b(-34). Let i(p) be the third derivative of 1/120*p**t + 0*p**3 + 29*p**2 + 0*p - 1/24*p**4 + 0. Find d such that i(d) = 0.
0, 2
Let u(x) be the first derivative of x**3/9 + 62*x**2/3 - 125*x/3 - 4065.