12*t - 5*t**3 + 9*t + 0 + 10.
-5*(t - 2)*(t + 1)**2
Let h(r) be the third derivative of r**6/80 + 23*r**5/8 + 2583*r**4/16 - 43659*r**3/4 - 2245*r**2 - 3. Factor h(k).
3*(k - 11)*(k + 63)**2/2
Let l be (6/7*30*(-42)/(-4590))/((-2)/(-17)). What is k in 16/15*k + 2/15*k**l + 2 = 0?
-5, -3
Determine h, given that 20*h - 64/3 + 52/3*h**2 - 29/3*h**3 - 1/3*h**5 - 6*h**4 = 0.
-16, -2, 1
Suppose 2*x - 101 = -119. Let j(f) = -3*f**2 + 29*f + 2. Let o(h) = -12*h**2 + 117*h + 9. Let i(u) = x*j(u) + 2*o(u). Suppose i(y) = 0. What is y?
0, 9
Let w(x) be the first derivative of -x**5/5 + 25*x**4/3 - 286*x**3/3 - 338*x**2 - 8*x - 124. Let u(p) be the first derivative of w(p). Let u(i) = 0. What is i?
-1, 13
Let g(r) = -7*r**5 - 32*r**4 + 35*r**3 + 60*r**2. Let q(h) = 5*h**5 + 31*h**4 - 34*h**3 - 60*h**2. Let a(d) = 2*g(d) + 3*q(d). Factor a(y).
y**2*(y - 2)*(y + 1)*(y + 30)
Let s be 7 + ((-11837)/513 - -17). Let t(m) be the third derivative of 0*m - 1/270*m**5 + 0 + 5/54*m**4 - s*m**3 - 17*m**2. Factor t(x).
-2*(x - 5)**2/9
Let a = 178 - 176. Solve 8*c**3 + 0*c**3 - 612*c**4 + 617*c**4 + 2*c**3 + 5*c**a = 0.
-1, 0
Let c(l) be the third derivative of 5*l**7/126 - 233*l**6/72 - 193*l**5/12 - 2195*l**4/72 - 245*l**3/9 - 5575*l**2. Solve c(r) = 0.
-1, -2/5, 49
Let r(q) be the first derivative of -q**5/75 - 31*q**4/120 + 4*q**3/15 + q**2 + 18*q - 22. Let f(w) be the second derivative of r(w). Factor f(p).
-(p + 8)*(4*p - 1)/5
Let z(a) be the third derivative of a**8/6720 - 11*a**7/1260 + 121*a**6/720 - 7*a**4/4 + 22*a**2 - 1. Let v(y) be the second derivative of z(y). Factor v(u).
u*(u - 11)**2
Let n(c) = c**2 - 6*c - 51. Let q be n(-5). Determine r, given that -q*r**3 - 188*r**2 - 18*r**5 - 82*r**3 - 6*r - 44*r - 16 - 108*r**3 - 96*r**4 - 38*r = 0.
-2, -1, -2/3
Let j(r) be the third derivative of -1/4*r**6 + 2/5*r**5 + 0 + 78*r**2 + 5/4*r**4 + 0*r - 9/2*r**3 + 1/70*r**7. Suppose j(d) = 0. What is d?
-1, 1, 9
Let j(p) be the first derivative of 186 + 41/3*p**3 - 12*p + 43/4*p**4 - 18/5*p**5 - 52*p**2. Solve j(f) = 0.
-3/2, -1/9, 2
Suppose -26*g + 39 = -3*b, 4*b + 60 = -g + 8. Determine c, given that -2*c**2 + 1/3*c**5 + 0*c - 5/3*c**3 + 2/3*c**4 + g = 0.
-3, -1, 0, 2
Let u(r) be the first derivative of -2*r**2 + 2/3*r**4 + 9 - 21*r - 6/5*r**5 + 5/3*r**3. Let k(i) be the first derivative of u(i). What is t in k(t) = 0?
-2/3, 1/2
Let d(o) be the second derivative of -o**10/52920 + o**8/5880 - o**6/1260 + o**4/6 - 11*o**3 - 73*o. Let u(v) be the third derivative of d(v). Factor u(z).
-4*z*(z - 1)**2*(z + 1)**2/7
Let 40/17 + 2*u**2 - 2/17*u**4 + 72/17*u + 0*u**3 = 0. Calculate u.
-2, -1, 5
Factor 0 - 8/3*q**3 + 0*q + 13/6*q**4 - 1/6*q**5 - 32*q**2.
-q**2*(q - 8)**2*(q + 3)/6
Suppose -3*s - 2*i + 9 = -7, s + 4*i - 22 = 0. Factor -23/3*u**s + 2/3 - 7*u.
-(u + 1)*(23*u - 2)/3
Suppose 13*r = 16*r - 5*n - 190, 5*r = 4*n + 334. Factor r*k**3 + 18*k - 2*k**5 - 30*k**4 + 7*k**5 - 10 + 0*k - 80*k**2 + 27*k.
5*(k - 2)*(k - 1)**4
Let t(m) be the second derivative of -m**5/4 - 875*m**4/12 - 1735*m**3/6 - 865*m**2/2 - 4*m - 356. Factor t(w).
-5*(w + 1)**2*(w + 173)
Let r = 379 + -299. Let 30 - 49*i - 196*i + 591*i**2 - 40*i**3 - r*i**4 - 76*i**2 = 0. Calculate i.
-3, 1/4, 2
Suppose -53 = -41*x + 135 - 65. Find m such that -1/5*m**x + 16/5*m - 4 - 1/5*m**2 = 0.
-5, 2
Solve -70*c**4 - 12 + 133*c - 789/2*c**2 + 741/2*c**3 = 0 for c.
1/7, 2/5, 3/4, 4
Let o be (-32)/(-30) - (-370)/(-925). Let n(r) be the first derivative of -18 - 16*r - 7*r**2 + o*r**3. Factor n(a).
2*(a - 8)*(a + 1)
What is d in -146882/7*d**2 - 32/7 + 4336/7*d = 0?
4/271
Let b(q) be the first derivative of 13*q**4/4 - 466*q**3/3 - 553*q**2/2 - 74*q - 2716. Factor b(c).
(c - 37)*(c + 1)*(13*c + 2)
Factor 172*c + 245*c + 449 + 3*c**3 + 55 - 84*c**2.
3*(c - 21)*(c - 8)*(c + 1)
Let n(v) be the third derivative of v**8/840 - v**7/420 - v**6/180 + v**5/60 + 83*v**3/6 - 3*v**2 + 8. Let b(i) be the first derivative of n(i). Factor b(d).
2*d*(d - 1)**2*(d + 1)
Let z(r) = -14*r**2 + 310*r - 4. Let l(f) = -19*f**2 + 307*f - 6. Let d(x) = 2*l(x) - 3*z(x). What is h in d(h) = 0?
0, 79
Let y(j) be the first derivative of -2*j**3/33 - 100*j**2/11 + 1962*j/11 + 1231. Factor y(u).
-2*(u - 9)*(u + 109)/11
Let r(q) be the first derivative of 5*q**6/6 - q**5 - 5*q**4/4 + 5*q**3/3 + 149. Let r(b) = 0. Calculate b.
-1, 0, 1
Let o(p) be the second derivative of p**5/40 - p**4/6 - 17*p**3/4 + 27*p**2/2 - 431*p - 2. Factor o(a).
(a - 9)*(a - 1)*(a + 6)/2
Determine x, given that 31/3*x + 34 - 1/3*x**2 = 0.
-3, 34
Suppose 38*v - 40*v = -10. Let g(n) = 3*n - 25. Let k be g(12). Suppose 200 - 3*w**2 + 4*w**v - 202 - 6*w**4 - 4*w**3 + k*w**2 = 0. What is w?
-1, -1/2, 1
Factor 1301*k - 352*k + 5*k**2 - 403*k - 406*k.
5*k*(k + 28)
Suppose 13*i + 9943 = 583. Let t be (-3296)/i + 6/(-45) + -4. Suppose t*n + 0 - 2/9*n**2 = 0. Calculate n.
0, 2
Let g(q) = q**3 + q + 1. Let s be (90/(-54))/(2/(-6)). Let w = 82 - 83. Let b(t) = 7*t**3 + 8*t**2 + 15*t + 9. Let d(n) = s*g(n) + w*b(n). Factor d(y).
-2*(y + 1)**2*(y + 2)
Let h be (1888/48 + -38)*3/10. Factor 0*m + h + 2/5*m**4 - 4/5*m**2 + 0*m**3.
2*(m - 1)**2*(m + 1)**2/5
Let v = -145 + 148. Suppose -v*o + 4*n + 388 = 6*n, 0 = -2*o + 3*n + 250. Find m such that -162/5*m**4 + 32/5 - 72/5*m**3 + o*m**2 + 288/5*m = 0.
-2, -2/9, 2
Let r(l) be the first derivative of -2*l**3/9 - 133*l**2/3 - 88*l - 1942. Factor r(m).
-2*(m + 1)*(m + 132)/3
Suppose l - 2*k - 1 - 11 = 0, -4*k = l + 18. Suppose -4*i + 3*x = -18, -2*x = 4*i - 6 - l. Determine y so that 12*y**2 + 2*y - 9 - 3*y - i*y + 1 = 0.
-2/3, 1
Suppose -2*s - 380 = -4*z, z + 2*s - 52 = 43. Suppose -k = 4*k - 5*l - z, 0 = 2*k - 5*l - 47. Factor 0*q**3 + 2 + 14*q**2 + 12*q**2 - k*q - 12*q**3 + 0*q**3.
-2*(q - 1)**2*(6*q - 1)
Suppose v - 4 = 2*v - z, z = 2*v + 4. Let n(g) = g + 8. Let k be n(v). Find j such that -6*j**3 - 20*j**4 + 16*j - 8 + k - 16*j**2 - 46*j**3 = 0.
-2, -1, 0, 2/5
Suppose 9*z = 61 + 38. Let f(j) = -8*j**2 + j - z - 6*j - 6*j + 0*j - 14*j**4. Let o(u) = -5*u**4 - 3*u**2 - 4*u - 4. Let q(c) = -4*f(c) + 11*o(c). Factor q(g).
g**2*(g - 1)*(g + 1)
Let o(g) be the first derivative of -g**5/90 - g**4/9 - g**3/9 + 10*g**2/9 - 84*g - 113. Let i(u) be the first derivative of o(u). Factor i(x).
-2*(x - 1)*(x + 2)*(x + 5)/9
Suppose -2*x - 590 = -5*k, -343 = -4*k - 3*x + 152. Let -15*w**2 + 34*w**2 - 80 - 64*w**2 - k*w = 0. What is w?
-4/3
Let b(h) be the second derivative of 2*h**6/15 - 3*h**5/5 - 14*h**4 - 200*h**3/3 - 144*h**2 - 3453*h + 2. Factor b(f).
4*(f - 9)*(f + 2)**3
Let j(f) be the first derivative of 729*f**5/5 - 27945*f**4/4 - 6282*f**3 - 2102*f**2 - 312*f + 1133. Suppose j(y) = 0. Calculate y.
-2/9, 39
Solve -5*n**2 + 5180*n - 26100*n + 2784674 - 16908848 - 8277755 + 519609 = 0.
-2092
Suppose -4*l - 4*q = -4, 5*l - 673 + 667 = -4*q. Determine w, given that 10/7*w**l - 124/7*w + 48/7 = 0.
2/5, 12
Let n(c) be the third derivative of 55*c**2 - 28/3*c**3 - 5/6*c**4 + 0 + 0*c + 1/15*c**5. Factor n(i).
4*(i - 7)*(i + 2)
Let y be ((-202)/(-2020))/(8/240). Solve -4*o**y + 11/2*o**2 - 6 + 4*o + 1/2*o**4 = 0.
-1, 1, 2, 6
Solve -50*y**2 - 210*y + 29*y**2 - 201 + 18*y**2 + 633 = 0 for y.
-72, 2
Let k = -2533 - -2350625/928. Let l = k - -16697/6496. Suppose 138/7*n + l*n**3 + 36/7 - 104/7*n**2 = 0. Calculate n.
-2/9, 3
Let s(x) be the second derivative of 0*x**2 + 4/3*x**3 + 98*x + 2/15*x**6 + 0 + 2/21*x**7 - 1/3*x**4 - 3/5*x**5. Factor s(h).
4*h*(h - 1)**2*(h + 1)*(h + 2)
Let -190*s**3 - 44*s**2 + 354*s**3 + 9*s**4 + 42*s - 5*s**4 + 30*s - 196*s**3 = 0. Calculate s.
-2, 0, 1, 9
Let o(h) = h**3 - 21*h**2 + 63*h + 83. Let g(y) = 15850*y - 2*y**2 - 15850*y + 1. Let s(p) = -6*g(p) + 3*o(p). Factor s(d).
3*(d - 9)**2*(d + 1)
Let c(n) be the third derivative of -n**6/60 + 35*n**5/3 - 31313*n**4/12 + 119716*n**3/3 + 10*n**2 + 85*n. Factor c(m).
-2*(m - 173)**2*(m - 4)
Let l(a) = 53*a**2 + 404*a - 1085. Let j(x) = -67*x**2 - 412*x + 1084. Let t(g) = 4*j(g) + 5*l(g). Factor t(w).
-3*(w - 121)*(w - 3)
Let t(c) be the first derivative of 3*c**3 + 15/2*c**2 - 15/4*c**4 + 3/5*c**5 - 12*c - 1. Factor t(y).
3*(y - 4)*(y - 1)**2*(y + 1)
Let c(p) = -8*p**2 + 36*p - 12. Let i(j) = j**2 - j + 2. Let s(l) = -c(l) + 2*i(l). Let n(d) = 4*d**2 - 13*d + 6. Let q(b) = 8*n(b