16*h**4 + 26*h**4 - 224*h + 26*h**4 + 152*h**3 = 0?
-14, -2/3, 0, 2
Let j(f) be the third derivative of -f**8/84 + 16*f**7/105 - 2*f**6/5 - 2*f**5/15 + 13*f**4/6 - 4*f**3 - 2453*f**2. Factor j(y).
-4*(y - 6)*(y - 1)**3*(y + 1)
Let h(g) = -13*g**2 + 1300*g - 421199. Let u(r) = -253*r**2 + 24701*r - 8002780. Let f(q) = -78*h(q) + 4*u(q). Factor f(w).
2*(w - 649)**2
Let w(v) = -101*v**2 + v - v - 3 + 105*v**2 - 2*v. Suppose -40 = 10*f + 20. Let a(n) = 17*n**2 - 9*n - 13. Let s(y) = f*a(y) + 26*w(y). Factor s(u).
2*u*(u + 1)
Let k be 11/(220/32) - (-6302)/(-4795). Suppose -3*q = 3*z - 3, -5*q + 2*z + 2 = 4. Factor q*s + k - 2/7*s**2.
-2*(s - 1)*(s + 1)/7
Let p(r) be the third derivative of r**6/60 - 23*r**5/10 - 24*r**4 - 292*r**3/3 - 2*r**2 + 83*r. Factor p(w).
2*(w - 73)*(w + 2)**2
Let r(t) = 4*t**2 + 71*t + 151. Let f(j) = -7*j**2 - 107*j - 226. Let u = 197 - 202. Let y(g) = u*f(g) - 8*r(g). Find d, given that y(d) = 0.
-2, 13
Let k(l) be the first derivative of l**4/2 + 578*l**3 + 250563*l**2 + 48275138*l - 91. Let k(r) = 0. What is r?
-289
Let m(n) be the first derivative of -n**9/144 - 3*n**8/560 + 3*n**7/245 - n**6/210 + 29*n**3/3 + 24. Let d(g) be the third derivative of m(g). Factor d(a).
-3*a**2*(a + 1)*(7*a - 2)**2/7
Let v(g) be the second derivative of 0*g**3 + 0 + 159*g + 35/12*g**4 + 1/4*g**5 + 0*g**2. Factor v(x).
5*x**2*(x + 7)
Let h be (12/14)/((-6)/(-14)*(-4)/(-6)). Let 2/7*c**h + 0 + 12/7*c**2 + 18/7*c = 0. Calculate c.
-3, 0
Let p be 3/(-352)*(-142)/(-426). Let t = 717/4576 + p. Factor t*i**2 - 2/13*i - 4/13.
2*(i - 2)*(i + 1)/13
Let l = -2663 - -2665. Let o(k) be the third derivative of 0*k - 2*k**3 + 0 + 1/12*k**4 - 18*k**l + 1/30*k**5. Factor o(n).
2*(n - 2)*(n + 3)
Let s be (1820/(-52) + 35)/(-1). Factor -27/4*g**4 + s - 243/2*g**2 + 351/8*g**3 + 3/8*g**5 + 243/2*g.
3*g*(g - 6)**2*(g - 3)**2/8
Let r(q) be the third derivative of q**7/1470 + 674*q**2. Factor r(d).
d**4/7
Let m(o) be the second derivative of -2*o**4/33 + 227*o**3/33 + 57*o**2/11 + 371*o. Factor m(t).
-2*(t - 57)*(4*t + 1)/11
Factor 196/3*d + 1/6*d**4 + 17*d**3 + 66*d**2 + 0.
d*(d + 2)**2*(d + 98)/6
Solve -1072/9 - 796/9*y - 2/9*y**3 + 274/9*y**2 = 0.
-1, 4, 134
Let m = 158391/395965 + -1/79193. Find f such that m*f**4 - 1224/5*f + 716/5*f**2 + 578/5 - 72/5*f**3 = 0.
1, 17
Let x be 2/(-39)*(-13104)/1512 + (-69136)/(-126). Find q such that 36*q**2 + x - 4/7*q**3 - 4092/7*q = 0.
1, 31
Let z be ((190/40)/19)/(52/1664). Factor -3*v**2 + 16 + 1/4*v**4 + z*v - v**3.
(v - 4)**2*(v + 2)**2/4
Let b be (36239/42)/1 + 2/12. Let g = -2573/3 + b. Factor -14/3 + g*d - 2/3*d**2.
-2*(d - 7)*(d - 1)/3
Let a = 25897/276 - 40/69. Let h = -93 + a. Determine c, given that h*c**3 + 2 - c - 3/2*c**2 + 1/4*c**4 = 0.
-2, 1, 2
Let h(w) be the first derivative of w**6/18 - 23*w**5/5 + 102*w**4 - 1156*w**3/9 + 1436. What is z in h(z) = 0?
0, 1, 34
Let g(h) be the third derivative of 0 + 318*h**2 - 11/2*h**3 - 1/40*h**5 + 13/16*h**4 + 0*h. Factor g(w).
-3*(w - 11)*(w - 2)/2
Find w such that -177*w**3 - 1410 + 265*w + 1640*w**2 - 93*w**3 + 109*w**4 - 339*w**4 + 5*w**5 = 0.
-3, -1, 1, 2, 47
Let c(n) be the third derivative of 0*n + 16/9*n**3 - 1/90*n**5 + 0*n**4 + 135*n**2 + 0. Factor c(j).
-2*(j - 4)*(j + 4)/3
Suppose 47857441*j + 365 = 47857514*j. Solve -6/11*z**j - 108/11*z**2 - 280/11*z + 166/11*z**3 + 52/11*z**4 + 16 = 0.
-2, 2/3, 1, 11
Let j(b) = 6*b**2 - 32*b + 30. Let v(w) be the first derivative of -5*w**3/3 + 16*w**2 - 30*w + 238. Let q = -9 - -12. Let m(i) = q*j(i) + 4*v(i). Factor m(f).
-2*(f - 15)*(f - 1)
Let i(r) be the first derivative of -r**4/10 + 4*r**3/15 + 7*r**2/5 + 8*r/5 - 7208. Factor i(k).
-2*(k - 4)*(k + 1)**2/5
Let q(z) be the first derivative of -z**4/16 + 9*z**2/8 + 103. Let q(a) = 0. What is a?
-3, 0, 3
Let g be 395/(-474)*(-38)/95. Factor 6*c - 19/3 + g*c**2.
(c - 1)*(c + 19)/3
Let f(d) = d**2 - 6*d - 27. Let h be f(-9). Let t = h - 103. Let -m**4 + m**t + 3*m**2 + 2*m**2 - 2*m - 8*m**3 + 5*m**3 = 0. What is m?
-2, 0, 1
Let w(a) be the first derivative of -10 + 0*a + 4*a**3 + 1/2*a**4 + 1/15*a**5 + 0*a**2 - 1/90*a**6. Let q(v) be the third derivative of w(v). Factor q(t).
-4*(t - 3)*(t + 1)
Let m be (0 + 4/8)/(14/1 + -12). Find j such that 0 - m*j**3 - 1/4*j**2 + 1/4*j**4 + 1/4*j**5 + 0*j = 0.
-1, 0, 1
Let r(m) be the third derivative of -m**6/15 + 9*m**5/5 - 31*m**4/2 + 136*m**3/3 + 438*m**2. Suppose r(j) = 0. What is j?
1, 4, 17/2
Let h(k) = -k**2 + 11*k + 14. Let b = 14 + -2. Let i be h(b). Factor 41*w**2 - 30*w**2 - 4*w**3 - 23*w**i.
-4*w**2*(w + 3)
Let q(c) = -c**3 + 6*c - 7*c - 70*c**4 + c**2 + 71*c**4. Let x(k) = 2*k**5 + k**4 - 3*k**3 - 5*k**2 + 3*k + 2. Let n(m) = -q(m) - x(m). Factor n(i).
-2*(i - 1)**2*(i + 1)**3
Let v = 1813177 - 9065873/5. What is r in -33/5*r**3 + 21/5*r**4 - 9/5*r**2 + 33/5*r - v = 0?
-1, 4/7, 1
Let h = 527 + -522. Let 4*a + a**2 - h*a - 7012 + 7000 = 0. Calculate a.
-3, 4
Suppose -9*r + 8*r - 8 = 0. Let v be 2 + r - (-104)/39*3. Suppose 1/8*i**3 + 0 + 1/2*i + 1/2*i**v = 0. What is i?
-2, 0
Solve 54/5*y**2 - 106/5*y**3 + 0 + 0*y + 2/5*y**5 + 10*y**4 = 0.
-27, 0, 1
Let r(o) be the first derivative of -35*o**6/12 + 24*o**5 - 75*o**4 + 355*o**3/3 - 405*o**2/4 + 45*o + 9017. What is h in r(h) = 0?
6/7, 1, 3
Let m(i) be the first derivative of -9*i**4/4 + 53*i**3 + 36*i**2 - 104*i - 136. Let v(z) be the first derivative of m(z). Factor v(j).
-3*(j - 12)*(9*j + 2)
Let m be (-390)/(-168) + 5 + (-189)/28. Factor m*f - 4 + 4*f**2 - 4/7*f**3.
-4*(f - 7)*(f - 1)*(f + 1)/7
Let g(j) be the second derivative of -5/8*j**3 - 9/8*j**2 + 0 - 42*j + 3/80*j**5 - 1/16*j**4. Factor g(a).
3*(a - 3)*(a + 1)**2/4
Let x(f) be the second derivative of 2*f**6/15 + 50*f**5 + 6888*f**4 + 366912*f**3 - 2370816*f**2 + 2098*f. Find v such that x(v) = 0.
-84, 2
Let c(h) be the second derivative of -h**6/10 + 183*h**5/20 - 233*h**4/4 + 287*h**3/2 - 171*h**2 - 3225*h. Factor c(n).
-3*(n - 57)*(n - 2)*(n - 1)**2
Suppose c = 3*a + 11, -3*c + 87*a - 84*a + 15 = 0. Factor 2/7*i**c - 6/7*i + 4/7.
2*(i - 2)*(i - 1)/7
Let o(c) be the second derivative of 20/3*c**3 + 0*c**2 + 0 + 1/3*c**4 - 15*c. Suppose o(b) = 0. Calculate b.
-10, 0
Suppose -4*r + 188 = -2*p, 136 = r + 2*r + p. Let n be (-10)/(-4) - (-23)/r. Factor 5*a**3 + 16*a**2 + 4*a**4 - 2*a**4 - 4*a**2 - 15*a**n.
2*a**2*(a - 3)*(a - 2)
Factor -1513/4*z - 5/2 + 303/4*z**2.
(z - 5)*(303*z + 2)/4
Let n(v) = -2*v**4 - v**3 + 1. Let j(s) = 9*s**4 - 426*s**3 - 1269*s**2 - 6. Let f(r) = j(r) + 6*n(r). Find y such that f(y) = 0.
-141, -3, 0
Let n = -36 + 46. Suppose g + n = 2*i - g, -5*i + g + 33 = 0. Factor 3*p + 11*p**3 + 29*p**2 + p - i*p**2 + 7*p**3.
2*p*(p + 1)*(9*p + 2)
Let m(x) be the third derivative of x**5/100 - 11*x**4/4 - 339*x**3/10 + 50*x**2 - 21. Factor m(z).
3*(z - 113)*(z + 3)/5
Let w(r) be the second derivative of -7/4*r**3 - 1/16*r**4 - 9*r**2 + 0 - 109*r. Let w(z) = 0. Calculate z.
-12, -2
Find n, given that 9/2*n**5 + 0 + 0*n + 12543/2*n**3 - 4107/2*n**2 - 669/2*n**4 = 0.
0, 1/3, 37
Let x(z) be the first derivative of z**3/15 - 58*z**2/5 - 861*z/5 + 3395. Factor x(y).
(y - 123)*(y + 7)/5
Let w(z) = -z**2 - 37*z - 181. Let s be w(-31). Let i(l) be the first derivative of -7/2*l**4 + 10*l**3 + 0*l - 9*l**2 + 2/5*l**s + 13. What is g in i(g) = 0?
0, 1, 3
Let -6229*z + 15*z**3 - 18420*z - 426*z**2 + 112*z**2 - 23*z**3 + 7*z**3 = 0. Calculate z.
-157, 0
Let p be ((-4)/5)/(210 - 211). Let j(o) be the first derivative of -o**4 + 0*o**2 + 0*o - 6 + p*o**5 + 0*o**3. Suppose j(i) = 0. Calculate i.
0, 1
Let -58*o**4 + 12 - 190*o**3 - 646/3*o**2 - 16/3*o**5 - 66*o = 0. What is o?
-6, -3, -1, 1/8
Let f(i) be the second derivative of 15*i**2 + 5/6*i**3 - 5/12*i**4 + 0 + 7*i. Factor f(u).
-5*(u - 3)*(u + 2)
Let q(l) be the third derivative of -117*l**2 + 1/15*l**5 - 26*l**3 - 19/3*l**4 + 0*l + 0. Factor q(b).
4*(b - 39)*(b + 1)
Let u(k) be the second derivative of -k**4/21 - 120*k**3/7 - 358*k**2/7 + 2*k + 676. What is p in u(p) = 0?
-179, -1
Factor 0 - 18*u**2 + 57/7*u**3 + 24/7*u.
3*u*(u - 2)*(19*u - 4)/7
Let x(q) be the second derivative of -3/100*q**5 - 11/10*q**3 - 9/20*q**4 + 1/50*q**6 - q + 21 - 6/5*q**2. Determine w so that x(w) = 0.
-1, 4
Let k(u) = -92*u - 285. Let j be k(-3). Let s be (70/(-168))/(15/j