 12*s + 39. Let d(u) = 0. What is u?
-1, 0, 32
Let w(o) = 3*o**2 + 1. Let k = -86 - -87. Let j be w(k). Factor 4*s**4 + 51*s**2 - 11*s**2 + 25*s**3 + s**j + 19*s + s.
5*s*(s + 1)*(s + 2)**2
Let d(l) be the third derivative of 2*l**2 - 1 + 0*l**3 + 1/20*l**5 + 0*l**6 + 0*l**4 - 1/70*l**7 + 0*l. Suppose d(u) = 0. Calculate u.
-1, 0, 1
Let m(i) be the second derivative of 7*i + 11/12*i**3 + 49/40*i**5 - 15/8*i**4 + 8 - 17/60*i**6 + 1/2*i**2. Factor m(l).
-(l - 1)**3*(17*l + 2)/2
Let t(v) be the second derivative of v**7/14 - 139*v**6/10 + 411*v**5/10 + v**4/2 - 275*v**3/2 + 411*v**2/2 + 4776*v. Factor t(o).
3*(o - 137)*(o - 1)**3*(o + 1)
Suppose 27*y = -17*z + 22*z + 282, -2*y = 2*z - 28. Let -2/7*c + 0*c**2 + 2/7*c**z + 0 = 0. What is c?
-1, 0, 1
Let g = -79597 + 397987/5. Factor 16/5*c**3 + 12/5*c**2 - 14/5 + g*c**4 - 16/5*c.
2*(c - 1)*(c + 1)**2*(c + 7)/5
Let w(d) be the second derivative of -2*d**6/15 + 47*d**5/5 + 102*d**4 + 1256*d**3/3 + 848*d**2 - 21*d + 29. Factor w(b).
-4*(b - 53)*(b + 2)**3
Suppose 42*q + 53*q + 23*q**2 - 24*q**2 - 9*q - 553 = 0. Calculate q.
7, 79
Let t be (-230)/(-56) + 234/(-2184). Factor 0 - 4*p**3 - 1/2*p**t - 11/2*p**2 + 10*p.
-p*(p - 1)*(p + 4)*(p + 5)/2
Let o(x) be the third derivative of -2/27*x**5 + 64/27*x**3 + 1/180*x**6 + 109*x**2 + 0*x + 1/945*x**7 + 0 - 4/9*x**4. Factor o(m).
2*(m - 4)*(m - 1)*(m + 4)**2/9
Let c(z) = -4*z - 16. Let f be c(-4). Suppose 0 = 4*b - 3*t, f = 3*b - 2*t - 0*t - 1. Let 19*i**3 + i**5 - 22*i**b + 0*i**5 + 2*i**5 = 0. Calculate i.
-1, 0, 1
Factor -9/2*f**2 - 27 - 81/2*f + 2*f**3.
(f - 6)*(f + 3)*(4*f + 3)/2
Suppose 0 = -9*d + 14*d - 15. Suppose -5*r + 20 = 0, -13*q - d*r = -10*q - 12. Determine m, given that m + 0*m**2 + q - 1/4*m**3 = 0.
-2, 0, 2
Let y(r) = r**3 + 5*r**2 + 29*r + 71. Let s be y(-3). Let i = 8/83 + 1936/581. Let 32/7 - 48/7*a - 4/7*a**3 + i*a**s = 0. What is a?
2
Let p(s) be the third derivative of 1/420*s**7 + 0*s**3 + 0 + 0*s**4 - 146*s**2 + 0*s**6 + 0*s - 1/30*s**5. Suppose p(w) = 0. What is w?
-2, 0, 2
Let y(o) = -2*o**3 - 26*o**2 + o + 22. Let n be y(-13). Factor -24*z**2 - 4*z**4 - 27*z**3 - 13*z + 4*z + n*z + 55*z**3.
-4*z**2*(z - 6)*(z - 1)
Let i(p) be the second derivative of p**5/90 - 25*p**4/6 + 668*p**3/27 - 148*p**2/3 - 2*p + 2382. Suppose i(k) = 0. What is k?
1, 2, 222
Let o = -182976 + 1097857/6. Factor 7/3*p - o*p**2 + 5/2.
-(p - 15)*(p + 1)/6
Let c(y) be the second derivative of y**7/42 - 49*y**6/15 - 151*y**5/10 - 26*y**4/3 + 301*y**3/6 + 101*y**2 - 68*y - 18. Let c(z) = 0. Calculate z.
-2, -1, 1, 101
Let t = 117 - 105. Suppose 6*i + 4 + t - 31 - 5*i**2 + 14*i = 0. What is i?
1, 3
Factor -2648/3*p - 438244/3 - 4/3*p**2.
-4*(p + 331)**2/3
Let l(p) be the first derivative of -1/9*p**3 - 251 + 16/3*p + 1/12*p**4 - 8/3*p**2. Factor l(a).
(a - 4)*(a - 1)*(a + 4)/3
Let n(p) = p**3 - 4*p**2 + 4*p - 9. Let h be n(4). Factor 1520*a**2 + 7306 + 16153*a + h*a**3 - 1474 + 17*a**3 + 4*a**3 + 4691*a.
4*(a + 27)**2*(7*a + 2)
Let l be 6/21*43*(-1036)/(-15910). Factor -l*i**3 + 1/5*i**5 - 3/5*i**4 + 0 + 0*i**2 + 0*i.
i**3*(i - 4)*(i + 1)/5
Let n be ((3 - 5) + 4)/(340/1224 - (-4)/18). Factor 1/3*r - 2*r**n + 0 - 1/3*r**3 + 2*r**2.
-r*(r - 1)*(r + 1)*(6*r + 1)/3
Let x(i) = 3*i**2 + 2*i + 5. Let y(s) be the first derivative of -26*s**3/3 - 8*s**2 - 43*s - 285. Let q(m) = -51*x(m) - 6*y(m). Find l such that q(l) = 0.
1
Let d be -34 - 6408/(-108) - 25. Solve 7/3*z**3 + 0 - d*z**4 + 0*z - 2*z**2 = 0.
0, 1, 6
Let -10638*y**3 - 10683*y**3 - 33*y**4 + 24*y + 114*y**2 + 21216*y**3 = 0. Calculate y.
-4, -2/11, 0, 1
Let c(w) be the first derivative of 20*w**3 + 38*w**2 - 136*w - 121. Find u, given that c(u) = 0.
-34/15, 1
Suppose 0 = -19*g + 2664 - 764. Let r be 325/g - 10/8. Factor 0*p**r + 0 + 0*p + 2/13*p**4 + 0*p**3.
2*p**4/13
Let t(f) be the first derivative of 49*f**4/6 + 238*f**3/9 - 1312*f**2/3 + 3584*f/3 - 43. Suppose t(v) = 0. What is v?
-7, 16/7
Let d(s) = -2272*s**4 + 2550*s**3 - 310*s**2 - s + 22. Let c(p) = -1137*p**4 + 1275*p**3 - 155*p**2 - p + 12. Let i(b) = -11*c(b) + 6*d(b). Factor i(n).
-5*n*(n - 1)*(15*n - 1)**2
Solve 200*t - 337920 + 337920 + 5*t**2 = 0.
-40, 0
Suppose -z + 22 = -j + 2*z, 0 = -5*z + 40. Let w(h) be the first derivative of 18*h + 0*h**3 - 6*h**j - 3 - 2/45*h**5 + 1/3*h**4. Factor w(l).
-2*(l - 3)**3*(l + 3)/9
Let g(k) be the first derivative of -k**3/6 - 25*k**2/12 - 4*k/3 - 1203. Suppose g(p) = 0. Calculate p.
-8, -1/3
Suppose -8*s = -84*s. Let v(y) be the first derivative of 1/2*y**2 + s*y**3 + 0*y + 18 - 1/4*y**4. Factor v(g).
-g*(g - 1)*(g + 1)
Let f(s) be the second derivative of s**6/15 - 67*s**5/40 - 11*s**4/8 + 67*s**3/3 + 17*s**2 + 301*s. Let f(u) = 0. What is u?
-2, -1/4, 2, 17
Let z(f) be the second derivative of 1 + 53/30*f**3 - 1/100*f**5 + 5/12*f**4 + 27/10*f**2 - 8*f. Solve z(o) = 0 for o.
-1, 27
Solve -21780*d - 176*d**4 - 9744*d**3 - 425*d**3 - 99*d**4 - 3675*d**2 - 44901*d**2 - 2*d**5 = 0.
-66, -5, -1/2, 0
Let o = 1454 - 3. Factor -v**2 - 1466 + o + 0*v**2 - 8*v.
-(v + 3)*(v + 5)
Let c be 21/54*1/((-70)/(-15)). Let q(z) be the second derivative of -5*z + 0*z**3 + 0 + 1/72*z**4 - c*z**2. Factor q(n).
(n - 1)*(n + 1)/6
Let d(a) be the third derivative of 1/45*a**6 + 2*a + 0*a**5 - 1/504*a**8 + 0*a**4 + 0 + 67*a**2 + 0*a**7 + 0*a**3. Determine j so that d(j) = 0.
-2, 0, 2
Let b(x) be the second derivative of x**5/170 - 15*x**4/17 + 611*x**3/17 + 8836*x**2/17 - 1435*x. Factor b(g).
2*(g - 47)**2*(g + 4)/17
Let m = -1367/78 + 230/13. Let c(r) be the second derivative of 0 + r**3 + 12*r - 2*r**2 - m*r**4. Determine p, given that c(p) = 0.
1, 2
Let q(v) = 3*v**2 + v. Let y be q(-1). Factor 3*p**2 + 12*p - 7*p - 4*p**y + 10*p.
-p*(p - 15)
Let x(r) be the first derivative of r**5/70 + r**4/7 + 5*r**3/21 + 100*r + 162. Let s(p) be the first derivative of x(p). Find c, given that s(c) = 0.
-5, -1, 0
Solve -6*q**3 + 9/2*q**2 - 6 + 6*q + 3/2*q**4 = 0 for q.
-1, 1, 2
Let f = 19427 - 19427. Suppose 0*g + k = 3*g - 3, 4*g + 5*k + 15 = 0. Let -q**4 - q**2 + 7/2*q**3 - 3/2*q**5 + g*q + f = 0. What is q?
-2, 0, 1/3, 1
Let y(b) be the first derivative of 25*b**3 - 371 + 484*b + 195*b**2 + 324 + 23*b. Factor y(t).
3*(5*t + 13)**2
Let a(x) be the third derivative of -x**8/2800 - 3*x**7/1400 - 31*x**3/3 - 167*x**2. Let t(n) be the first derivative of a(n). Determine s so that t(s) = 0.
-3, 0
Let t(q) = -13*q**2 - 38*q - 404. Let c(k) = 21*k**2 + 58*k + 605. Let i(v) = -15*c(v) - 24*t(v). Factor i(l).
-3*(l - 23)*(l + 9)
Let h(c) be the first derivative of -13*c**5/2 - 15*c**4 + 215*c**3/6 - 15*c**2/2 + 436. Solve h(n) = 0.
-3, 0, 2/13, 1
Suppose 21461 = 18*n + 151*n + 19771. Solve -14/5*r**2 + 4/5*r + 0 + n*r**4 - 12/5*r**3 - 28/5*r**5 = 0.
-1/2, 0, 2/7, 1
Solve -192*b - 100*b + 222*b - 475*b**2 - 240*b - 5*b**4 - 170*b**3 = 0.
-31, -2, -1, 0
Determine a, given that 82*a + 200*a**2 + 22 + 108 + 86 + 74*a - 264*a**2 - 4*a**3 = 0.
-18, -1, 3
Find c such that -14*c - 21 - 14*c**4 + 60*c**2 + 2*c + 21 - 45*c**3 + 12*c**5 - c**4 = 0.
-2, 0, 1/4, 1, 2
Let y be 9 + (-1 - 1) + -3 + 0. Suppose -3*o + 22 = s, y*o + 5 - 170 = -5*s. Factor 37 - 6*p**3 + 8*p**2 + s - 78 + 10*p.
-2*(p - 2)*(p + 1)*(3*p - 1)
Let z = 3694294/3 + -1231428. Factor z*s**3 + 6*s + 8*s**2 + 4/3.
2*(s + 1)**2*(5*s + 2)/3
Let y = 2078257/1100216 + 1757/1192. Let t = -64/71 + y. Determine a, given that -110/13*a**3 + 24*a**2 - 50/13*a**4 - 184/13*a + t = 0.
-4, 2/5, 1
Suppose 1184 = 23*x - 4060. Suppose -3*n + 13 = 2*q, x*n = 229*n + 5*q - 13. Find b, given that 7*b**n + 4/3*b - 16/3*b**2 - 3*b**4 + 0 = 0.
0, 2/3, 1
Suppose 4*p - h - 3 = 0, 4*p - h - 9 = 2*h. Suppose -x + 45 = 2*r, -4*r + p*r + 100 = 4*x. Let 27*j - 8*j**3 - 2*j**4 + 4*j**2 - 18 - r*j + 17*j = 0. What is j?
-3, 1
Let b(l) be the first derivative of l**5/5 + 17*l**4/2 + 127*l**3/4 + 279*l**2/8 + 134. Factor b(g).
g*(g + 31)*(2*g + 3)**2/4
Let t(k) be the third derivative of -k**5/90 - 67*k**4/12 + 406*k**3/9 - 3468*k**2. Factor t(y).
-2*(y - 2)*(y + 203)/3
Let a(d) be the first derivative of -d**3/3 + 787*d**2/2 + 1578*d - 586. Factor a(u).
-(u - 789)*(u + 2)
Let d(i) = -19*i**5 + 66*i**4 + 26*i**2 - 39*i. Let j(a) = -3*a**5 + 11*a**4 + 4*a**2 - 6*a. Let k(b) = -6*d(b) + 39*j(b). Let k(x) = 0. Calculate x.
0, 11
