 + 1229. Let i(f) = 0. Calculate f.
-1, 2, 17/5
Let q = 10569 + -10565. Let g(o) be the first derivative of 0*o + o**3 - 14 + 1/4*o**q + o**2. Factor g(u).
u*(u + 1)*(u + 2)
Factor 292*l + 2*l**2 + l**2 - 86*l - 104*l.
3*l*(l + 34)
Let u(r) = 24*r + 4. Let x(o) = 13*o + 2. Let c(w) = -6*u(w) + 11*x(w). Let m(v) = 3*v**2 + 12*v + 15. Let n(y) = -6*c(y) + m(y). Factor n(t).
3*(t + 3)**2
Let i(m) be the second derivative of -13*m**6/1440 - 5*m**5/192 + m**4/192 - m**3/3 + 79*m**2/2 - 71*m. Let j(u) be the second derivative of i(u). Factor j(d).
-(d + 1)*(26*d - 1)/8
Let m be (-4 + 4 - 1) + 4. Factor 220*t**2 - 5*t**m - 60 - 20*t - 442*t**2 + 257*t**2.
-5*(t - 6)*(t - 2)*(t + 1)
Suppose 18*i = 1253 - 1217. Let x(w) be the second derivative of -3*w**i + 1/2*w**3 + 0 + 1/2*w**4 - 3/20*w**5 + 5*w. Find k such that x(k) = 0.
-1, 1, 2
Determine t so that 9630 - 12206 + 8018 - 24483*t - 27*t**2 = 0.
-907, 2/9
What is s in 287*s**2 - 147*s - 107*s**4 + 8609 - 8609 + 8*s**5 + 319*s**3 = 0?
-1, 0, 3/8, 7
Let r = 94907 - 94904. Determine v, given that -v + 0 - 1/6*v**r - 5/6*v**2 = 0.
-3, -2, 0
Let j be 384/(-832) + 1832/26. Suppose 74*s = j*s. Find h, given that -12/7*h**2 - 51/7*h**4 - 48/7*h**3 - 15/7*h**5 + s*h + 0 = 0.
-2, -1, -2/5, 0
Let h be (98 - 421)*(-3)/51. Let -1/2*q**3 + 15/2*q**2 + 12 - h*q = 0. What is q?
1, 2, 12
Let l(s) = -6*s**4 + 14*s**3 + 114*s**2 - 36*s - 390. Let v(i) = 2*i**4 - 5*i**3 - 38*i**2 + 12*i + 129. Let a(h) = -5*l(h) - 14*v(h). Factor a(u).
2*(u - 3)**2*(u + 2)*(u + 4)
Let p(q) be the third derivative of -26 + q**2 - 9/40*q**6 + 0*q - 17/20*q**5 + 11/70*q**7 + 7/8*q**4 + 3*q**3 + 1/56*q**8. Solve p(f) = 0.
-6, -1, -1/2, 1
Let v(u) be the first derivative of -u**4/16 + 193*u**3/12 + 49*u**2/2 - 97*u + 7385. Factor v(q).
-(q - 194)*(q - 1)*(q + 2)/4
Let l(x) be the first derivative of -151 + 3*x - 1/6*x**3 + 1/4*x**2. Determine b so that l(b) = 0.
-2, 3
Suppose -3*q - 5 = -5*f, 28 = -3*f - 3*q + 7. Let h be 3/f + (-2998)/(-4). Suppose -4*g**3 + 11*g**2 - 744*g - 12 + h*g + g**2 = 0. Calculate g.
-1, 1, 3
Let g(m) = m**3 - 69*m**2 + 139*m - 333. Let r be g(67). Factor -2/9*n**r + 32/9*n - 128/9.
-2*(n - 8)**2/9
Let w(a) be the second derivative of -a**4/54 - 101*a**3/9 + 304*a**2/9 + 3*a + 25. Factor w(x).
-2*(x - 1)*(x + 304)/9
Let q(j) be the second derivative of j**8/2240 + 3*j**7/560 + 3*j**6/160 + j**5/40 - 73*j**3/6 - j - 18. Let v(o) be the second derivative of q(o). Factor v(r).
3*r*(r + 1)**2*(r + 4)/4
Let l be 9 + (-2 - 0) + (-6)/2. Let v be -6*(l/(-6))/2. Factor 3*g - 6*g + 75*g**2 - 3*g - 71*g**v.
2*g*(2*g - 3)
Let o = 557 + -557. Let d(u) = u**3 + u**2 - 2*u + 2. Let m be d(o). Factor -2/3*g**m - g + 0 + 1/3*g**3.
g*(g - 3)*(g + 1)/3
Let s = -557 + 553. Let b be 0*8/(-32)*s. Factor 4/17*j - 6/17*j**2 + 2/17*j**4 + 0*j**3 + b.
2*j*(j - 1)**2*(j + 2)/17
Let v be 221/3 - 2/(-6). Let k = v + -71. Factor 4*m**2 - m**2 - 3*m**k + 8*m**2 + m**2.
-3*m**2*(m - 4)
Let t = -111 - -137. Solve -22*z**3 - 8*z - 4*z + 8 + t*z**3 = 0 for z.
-2, 1
Factor -6272/11*t + 0 - 162/11*t**3 + 2016/11*t**2.
-2*t*(9*t - 56)**2/11
Let j(y) be the first derivative of -4*y**2 + 10*y + 8/15*y**3 + 26. Factor j(i).
2*(2*i - 5)**2/5
Suppose -p - j + 42 = 0, -99 = -2*p - 0*j + j. Factor 40*v + p*v**3 + 35*v**4 + 43*v**3 + 100*v**2 - v**5 + 6*v**5.
5*v*(v + 1)*(v + 2)**3
Let w be 60/32*8/20. Factor 0 - 1/4*r**4 + 0*r**2 + w*r**3 + 0*r.
-r**3*(r - 3)/4
Factor -7141285 - h**2 - 3709151 - 36482*h + 43070*h.
-(h - 3294)**2
Suppose -1873*o - 6768 = -2719*o. Find q such that -2/3*q**2 - 26/3*q - o = 0.
-12, -1
Let g(u) be the first derivative of u**4/4 - 58*u**3 - 1098*u**2 - 6696*u - 6548. Let g(o) = 0. What is o?
-6, 186
Factor 2152/5*a + 578888/5 + 2/5*a**2.
2*(a + 538)**2/5
Suppose 0 = 4*t - 3*w - 41, -4*t - 18 = -6*t + 4*w. Suppose 0 = -2*s - 4, 3*y - t*s + 4 = -16*s. Factor 3/5 + 3/5*d**y - 6/5*d.
3*(d - 1)**2/5
Find y such that 23/5*y**3 + 12/5*y**4 + 1/5*y**5 - 36/5*y**2 + 0*y + 0 = 0.
-9, -4, 0, 1
Let f(c) be the second derivative of -12*c**2 + 0 - 9/2*c**3 - 1/4*c**4 + 31*c. Suppose f(t) = 0. Calculate t.
-8, -1
Factor -3/8*b**4 + 0*b + 3/2*b**2 + 9/8*b**3 + 0.
-3*b**2*(b - 4)*(b + 1)/8
Let v(b) = -2*b**3 + 15*b**2 + 10*b - 15. Let t be v(8). Let a(o) = -o + 4. Let g be a(t). Let -11 + g*x**2 + 8 + 5 + 4*x - x**2 = 0. Calculate x.
-1
Factor 1085 + 179 + 1261 - 288*f + 1238 - 847 - 4*f**2.
-4*(f - 9)*(f + 81)
Let i(n) = -n**3 + 18*n**2 - 2*n + 24. Let g be i(18). Let h be 4/g + 30/50. What is m in 2/15*m**3 - 2/15*m**5 + 0 - 4/15*m**4 + h*m**2 + 0*m = 0?
-2, -1, 0, 1
Factor -1248*f + 486720 + 4/5*f**2.
4*(f - 780)**2/5
Suppose -20 = u - 6*u. Suppose 7 = z + m, -m - 12 = -u*z + 6. Factor 0*p**3 + 8*p - z*p + 22*p + p**3 - 10*p**2.
p*(p - 5)**2
Let v(z) be the first derivative of 0*z + 76 + 8/3*z**3 + z**2 + 7/8*z**4. Determine a, given that v(a) = 0.
-2, -2/7, 0
Let r(t) be the first derivative of -t**4/6 - 10*t**3 - 225*t**2 + 159*t - 135. Let y(q) be the first derivative of r(q). Suppose y(n) = 0. What is n?
-15
Let k(o) be the third derivative of -103*o**2 - 3*o**4 - 13/20*o**6 + 29/15*o**5 + 8/3*o**3 + 3/35*o**7 + 0 - 2*o. Factor k(a).
2*(a - 2)*(a - 1)*(3*a - 2)**2
Let p(h) be the second derivative of 0 + 0*h**3 - 5/3*h**4 - 1/6*h**6 + h**5 + 0*h**2 + 32*h. Suppose p(z) = 0. What is z?
0, 2
Solve -3/5*v**3 + 627/5 + 621/5*v**2 + 1251/5*v = 0 for v.
-1, 209
Let j(s) be the first derivative of 18*s + 57 + 3*s**2 + 1/2*s**4 - 10/3*s**3. Factor j(f).
2*(f - 3)**2*(f + 1)
Let m be -14 + 9 + 28/5. Let z(r) be the first derivative of 4*r**2 - 2*r**4 + 20 - 4*r + 1/3*r**3 + m*r**5. Find h, given that z(h) = 0.
-1, 2/3, 1, 2
Let u = -4861 + 4864. Let l(d) be the second derivative of 0*d**u + 0*d**4 + 0 + 14*d - 16/15*d**6 + 0*d**2 - 2/7*d**7 - 4/5*d**5. Solve l(w) = 0 for w.
-2, -2/3, 0
Let v = 49 + -44. Let h = 19 + v. Suppose -16*z + 4 - 4*z**4 + 0 - 1 - h*z**2 - 16*z**3 - 7 = 0. Calculate z.
-1
Suppose -198*z**5 + 100*z**5 - 70*z**2 - 28 - 39*z**3 + 36*z + 101*z**5 + 22*z**2 + 76 = 0. Calculate z.
-2, -1, 1, 4
Let y be (18/8)/((-54)/(-72)). Suppose -5*d = 4*w - 0*w - 140, 0 = -3*d - 5*w + 71. Factor 21*a + d*a**2 + 10*a - 12 + y*a - 14*a**3.
-2*(a - 3)*(a + 1)*(7*a - 2)
Let l(a) = a**2 - 38*a + 299. Let b be l(27). Let c(n) be the first derivative of 1/4*n**3 + 29 + 0*n + 1/16*n**4 + 1/4*n**b. Find w such that c(w) = 0.
-2, -1, 0
Let w(c) be the second derivative of -54*c**5/5 - 25*c**4/4 - c**3 - 1026*c. Find h, given that w(h) = 0.
-2/9, -1/8, 0
Factor 6/11*f**2 + 1488/11*f - 1494/11.
6*(f - 1)*(f + 249)/11
Let y(z) = z**3 - 8*z**2 + z - 6. Let o be y(8). Suppose o*u + 2*p = 5*u - 13, 0 = 3*u + 4*p - 1. Factor 10*d + 0*d + 2*d**u - 12*d.
2*d*(d - 1)*(d + 1)
Let t(y) be the first derivative of y**6/39 + 58*y**5/65 + 147*y**4/26 + 138*y**3/13 - 1388. Determine l so that t(l) = 0.
-23, -3, 0
Let f = 1017 + -1002. Let x(g) = 16*g - 237. Let o be x(f). Find a such that 20/3*a - 4*a**o + 8/3*a**2 - 16/3 = 0.
-4/3, 1
Find o such that 0 + o**3 + 14/5*o**2 - 2/5*o**4 - 8/5*o = 0.
-2, 0, 1/2, 4
Let q be (-392)/(-40) - 1 - 6. Let -q*m**3 + 4/5 + 8/5*m**4 + 14/5*m - 12/5*m**2 = 0. What is m?
-1, -1/4, 1, 2
Let z(i) be the third derivative of i**8/2940 + i**7/980 + i**6/1260 - 40*i**3/3 - 2*i**2 - 6. Let a(n) be the first derivative of z(n). Factor a(g).
2*g**2*(g + 1)*(2*g + 1)/7
Let x be (-23)/((-138)/(-102)) + 22. Let h(c) be the second derivative of -2*c + 1/30*c**4 + 7/15*c**3 - x + 12/5*c**2. Solve h(r) = 0.
-4, -3
Let v(q) be the third derivative of -12*q - 95/12*q**4 + 5/4*q**5 + 0 + 3*q**2 + 20*q**3 - 1/24*q**6. Factor v(c).
-5*(c - 12)*(c - 2)*(c - 1)
Let m(d) be the second derivative of -5*d**5/4 - 9365*d**4/12 + 6575*d**3/3 - 1880*d**2 - 1214*d. Factor m(w).
-5*(w - 1)*(w + 376)*(5*w - 2)
Let v(f) be the second derivative of 0 + 1/42*f**7 + 0*f**3 - 1/2*f**4 + 0*f**2 - 2/15*f**6 - 11/20*f**5 - 12*f. Suppose v(p) = 0. What is p?
-1, 0, 6
Let k(i) be the third derivative of 0*i - 36*i**2 + 0 + 1/90*i**5 + 1/12*i**4 - 4/9*i**3. Let k(x) = 0. What is x?
-4, 1
Let u(x) be the third derivative of -x**5/40 - 13*x**4/8 - 165*x**3/4 - 19*x**2 - 6*x. Find a such that u(a) = 0.
-15, -11
Let d(q) be the second derivative of 1/30*q**5 + 15*q**2 + 0 + 25*