+ 22*p**2 + p - 12. Let d(y) = -2*y**3 - y**2 + y - 4. Let i(g) = -3*d(g) + u(g). Suppose i(c) = 0. What is c?
0, 2/17, 1/3, 1
Let u(j) be the second derivative of j**8/240 + j**7/21 + 2*j**6/45 + 17*j**4/12 + 146*j. Let y(c) be the third derivative of u(c). Factor y(v).
4*v*(v + 4)*(7*v + 2)
Factor -8*g + 43425*g**2 - 43426*g**2 + 25 - 2*g - 14*g.
-(g - 1)*(g + 25)
Let k(g) be the third derivative of 11*g**7/1365 + 119*g**6/780 - 11*g**5/195 + 1743*g**2. Factor k(w).
2*w**2*(w + 11)*(11*w - 2)/13
Let i(u) be the second derivative of u**5/70 - 359*u**4/7 + 515524*u**3/7 - 370146232*u**2/7 + 546*u. Solve i(t) = 0 for t.
718
Suppose 1091 - 1078 = -t - 2*h, t + 5*h = -37. What is m in 4/7*m**4 - 1/7*m**5 + 0 + 1/7*m**t + 0*m - 4/7*m**2 = 0?
-1, 0, 1, 4
Let v(q) be the second derivative of q**4/78 - 305*q**3/39 - 1236*q**2/13 + 13685*q. Factor v(o).
2*(o - 309)*(o + 4)/13
Suppose -185*h = -624*h + 2634. Determine z so that h*z - 2/3*z**2 - 40/3 = 0.
4, 5
Let q(d) be the second derivative of -1/12*d**4 + 1/10*d**5 + 65*d + 1/10*d**6 + 0*d**3 + 0 + 0*d**2. Let q(v) = 0. What is v?
-1, 0, 1/3
Let k(i) be the second derivative of -i**7/420 - 4*i**6/75 - 7*i**5/50 + 7*i + 169. Let k(j) = 0. Calculate j.
-14, -2, 0
Let x(j) = -3*j**2 + 100*j - 58. Let h be x(34). Let y be 4/h*12*12/(-8). Let -2/7*t**2 - 2/7 - y*t = 0. What is t?
-1
Let v(w) be the third derivative of -w**9/272160 - w**8/11340 + w**7/2520 + 26*w**5/15 + 153*w**2. Let j(y) be the third derivative of v(y). Factor j(x).
-2*x*(x - 1)*(x + 9)/9
Let p be ((-4)/(-13))/((-2 - 0)*41/(-82)). Let m = 0 - -3. Find a such that -2/13*a - p + 4/13*a**2 + 2/13*a**m = 0.
-2, -1, 1
Let v(t) be the second derivative of t**7/70 + t**6/10 + t**5/5 - 43*t**2/2 - 2*t - 7. Let z(j) be the first derivative of v(j). Factor z(i).
3*i**2*(i + 2)**2
Let y(k) = 16*k**2 + 602*k + 140. Let b(x) = -x**2 + 3*x + 2. Let s(w) = -8*b(w) - y(w). Suppose s(f) = 0. What is f?
-78, -1/4
Let g(w) = w**3 - 7*w**2 - 6*w - 6. Let t be g(8). Let f be ((-8)/10)/((-2)/t). Factor -8*p**4 - 11*p**2 - 6*p**2 + 25*p**2 - f*p**5 + 4*p.
-4*p*(p - 1)*(p + 1)**3
Let p(y) = 11*y - 8. Let l(d) = 13*d - 10. Let q(b) = 5*l(b) - 6*p(b). Let h be q(-4). Factor -1 + 1/3*z**h - 2/3*z.
(z - 3)*(z + 1)/3
Suppose -2*t - 16 = 4*d, 3*t + 92 = -4*d + 76. Find z such that 0*z + t + z**4 + 1/3*z**5 + 0*z**2 - 4/3*z**3 = 0.
-4, 0, 1
Let l(z) = 7*z**2 + 2*z + 35. Let u be l(-7). Factor 7*t**2 - 35*t**2 + 368*t**3 - u*t**3.
4*t**2*(t - 7)
Let a(u) be the first derivative of -89*u**4/30 - 116*u**3/15 + 48*u**2 - 64*u/15 - 4831. Determine l so that a(l) = 0.
-4, 4/89, 2
Let m(k) = k**3 - k**2 - 17*k + 1. Let u(f) = -f**3 + 1591*f**2 - 34*f + 2. Let b(z) = -2*m(z) + u(z). Factor b(w).
-3*w**2*(w - 531)
Let i(u) be the second derivative of -u**6/30 - u**5/4 - 7*u**4/12 - u**3/2 + 215*u. Find y such that i(y) = 0.
-3, -1, 0
Determine g so that 0 + 3/5*g**5 - 51/5*g**2 + 51/5*g**4 + 213/5*g**3 - 216/5*g = 0.
-9, -8, -1, 0, 1
Let -61/6*u - 8 - 2*u**2 + 1/6*u**3 = 0. What is u?
-3, -1, 16
Let i(m) = m**3 + m**2 - 7. Let l(q) = -8*q**3 - 28*q**2 - 18*q + 89. Let g(v) = 14*i(v) + 2*l(v). Determine w so that g(w) = 0.
-20, -2, 1
Let o = -295598/3 + 98535. Factor -o*c**2 + 1/3*c**4 + 4/3*c + 0 + 2/3*c**3.
c*(c - 1)**2*(c + 4)/3
Let r(x) be the third derivative of x**7/350 - x**6/25 + 21*x**5/100 - 11*x**4/20 + 4*x**3/5 - 23*x**2 - 3*x. Let r(k) = 0. Calculate k.
1, 2, 4
Factor -180 + 118*l - 56/3*l**2 - 2/9*l**3.
-2*(l - 3)**2*(l + 90)/9
Let g = 82 - 62. Factor 431*l - l**3 - 3*l**3 + 16 + g*l**2 - 463*l.
-4*(l - 2)**2*(l - 1)
Let p(v) be the second derivative of -4*v**3/3 - 5*v**2 + 4*v + 54. Let m(q) = q**2 + q + 1. Let a be ((-2)/3)/(2/12). Let h(x) = a*m(x) - 2*p(x). Factor h(o).
-4*(o - 4)*(o + 1)
Factor 0*k**2 + 144/7*k**3 - 3/7*k**5 + 0*k + 0 - 6/7*k**4.
-3*k**3*(k - 6)*(k + 8)/7
Let t = 63776/2913 - 2486/971. Suppose -2/3*p**3 + t*p - 22/3*p**2 + 26 = 0. What is p?
-13, -1, 3
Suppose -45 + 3/4*p**2 - 33/4*p = 0. Calculate p.
-4, 15
Let k(w) = -1. Suppose -3*m + c = 11, 19 = m + 3*c + 6. Let i(q) = 5*q**2 + 20*q + 22. Let u(d) = m*k(d) - i(d). What is v in u(v) = 0?
-2
Let n(u) be the third derivative of -u**8/16 - 267*u**7/35 - 457*u**6/2 + 9998*u**5/5 - 4080*u**4 - 6400*u**3 + 3*u**2 + 246*u. Solve n(j) = 0 for j.
-40, -2/7, 2
Let o = -246868 - -246908. Determine r, given that o*r - 800 - 1/2*r**2 = 0.
40
Factor 2/5*o**2 + 0 - 428/5*o.
2*o*(o - 214)/5
Factor -371*y**2 + 30*y**3 - 982*y**2 + 943*y + 512*y + 28 - 160.
3*(y - 44)*(y - 1)*(10*y - 1)
Let y = -444 + 446. Factor -31*m + 3*m**2 + 83*m - 5*m**y.
-2*m*(m - 26)
Let k(g) be the second derivative of g**6/2340 + g**5/390 - g**4/52 - 2*g**3/3 + g**2 + g - 8. Let y(c) be the second derivative of k(c). Factor y(m).
2*(m - 1)*(m + 3)/13
Let n(d) be the third derivative of -d**6/80 + 9*d**5/40 - 11*d**4/16 - 21*d**3/4 - 843*d**2. Factor n(i).
-3*(i - 7)*(i - 3)*(i + 1)/2
Let f(h) = 162*h**3 + 3733*h**2 - 2896*h + 757. Let u(k) = 162*k**3 + 3734*k**2 - 2944*k + 758. Let y(z) = -10*f(z) + 11*u(z). Let y(c) = 0. Calculate c.
-24, 4/9
Let y(s) = 12*s**4 + 12*s**3 + 10*s**2 - 58*s - 62. Let i(x) = 58*x**4 + 60*x**3 + 50*x**2 - 288*x - 312. Let j(n) = 5*i(n) - 24*y(n). Let j(u) = 0. What is u?
-3, -2, 2
Factor -2*k**4 + 133*k + 5*k**4 - 420 - 18*k**3 - 28*k + 2541*k**2 - 2610*k**2 + 291*k.
3*(k - 7)*(k - 2)**2*(k + 5)
Suppose 258 = 112*a - 302. Let z(u) be the second derivative of 2/15*u**4 + 1/5*u**2 + 0 + 1/225*u**6 + 6*u - 1/25*u**a - 2/9*u**3. Suppose z(m) = 0. What is m?
1, 3
Let w(g) be the second derivative of -g**5/4 + 1345*g**4/3 - 1441825*g**3/6 - 1452605*g**2 - 4170*g. Let w(l) = 0. What is l?
-2, 539
Let a(m) be the third derivative of m**6/60 - 31*m**4/12 + 10*m**3 - 1423*m**2. Factor a(n).
2*(n - 5)*(n - 1)*(n + 6)
Let w be 102/(-4335) - 184/(-595). Factor -w*p**2 + 2*p - 20/7.
-2*(p - 5)*(p - 2)/7
Let h(u) be the third derivative of 53*u**8/2016 + 107*u**7/1260 + 11*u**6/144 + u**5/360 + 3*u**2 + 331. Find d, given that h(d) = 0.
-1, -1/53, 0
Let n(k) be the second derivative of -k**7/231 + 26*k**6/165 - 177*k**5/110 + 212*k**4/33 - 272*k**3/33 + 1212*k. Let n(r) = 0. What is r?
0, 1, 4, 17
Factor -26357*y - 42665*y - y**4 + 9022*y - 7150*y**2 - 140625 - 160*y**3.
-(y + 5)**2*(y + 75)**2
Factor -15/2 - 3/4*a**2 - 33/4*a.
-3*(a + 1)*(a + 10)/4
Let k be 3/(24/88) + (3 - 10). Suppose -2*g + 3*m = 11 - 9, 0 = g - 3*m + k. Let 2/11*r**2 - g + 20/11*r = 0. What is r?
-11, 1
Let a(n) be the second derivative of -n**7/105 + 14*n**6/75 - 21*n**5/50 - 4*n**4/3 + 44*n**3/15 + 48*n**2/5 + n + 1737. Suppose a(w) = 0. What is w?
-1, 2, 12
Factor -2/3*g**2 - 28320338/3 + 15052/3*g.
-2*(g - 3763)**2/3
Suppose 2*p + 5*v = 687, 2*p - 276 = -v + 399. Suppose 333*r**2 - 6*r + r**3 + 8*r - p*r**2 = 0. Calculate r.
0, 1, 2
Let l(f) be the third derivative of -f**8/252 + 23*f**7/630 - 43*f**6/360 + 11*f**5/60 - f**4/8 + 303*f**2 - 2*f - 3. Suppose l(t) = 0. Calculate t.
0, 3/4, 1, 3
Let m(s) be the second derivative of -5*s**4/28 - 8*s**3/7 + 24*s**2/7 - 1311*s. Factor m(d).
-3*(d + 4)*(5*d - 4)/7
Suppose -86*l + 240 = 18*l + 16*l. Let h(a) be the third derivative of 1/2*a**3 + 0 + 0*a + 18*a**l + 1/12*a**5 + 1/3*a**4. Factor h(s).
(s + 1)*(5*s + 3)
Let w be ((-5)/3 + 1)*((-4884)/88 - -24). Determine k so that 3/2*k**2 - 45/2 - w*k = 0.
-1, 15
Let r(j) be the first derivative of -5*j**4 + 120*j**3 + 0*j + 6 + 1/12*j**5 + 3/2*j**2. Let z(q) be the second derivative of r(q). Let z(o) = 0. What is o?
12
Let f(o) = 3*o**2 - 39*o - 174. Let l(n) = 6*n**2 - 80*n - 349. Let v(z) = 11*f(z) - 6*l(z). Factor v(c).
-3*(c - 20)*(c + 3)
Suppose -10*n + 186 = 202*f - 199*f, 0 = -4*f + 5*n - 27. Suppose -12*v**2 + 9*v + 9/4*v**3 + f = 0. Calculate v.
-2/3, 2, 4
Let z(r) be the first derivative of r**4/16 - 49*r**3/12 + 183*r**2/8 - 135*r/4 - 4768. Determine h, given that z(h) = 0.
1, 3, 45
Let z = 2/74811 - -216120/24937. Factor -z*s - 169/3 - 1/3*s**2.
-(s + 13)**2/3
Let f = -552 - -554. Let 2*l**2 + 2*l - 10*l**3 - f*l**4 - 2*l + 26*l**2 = 0. Calculate l.
-7, 0, 2
Let u = 114/529 + 1733/4232. Let l(a) be the third derivative of 0 + 33*a**2 + 0*a - 25/6*a**3 + 5/12*a**5 + u*a**4 - 1/8*a**6. Solve l(o) = 0.
-1, 1, 5/3
Let q(u) be the first