60 + 13*y**4/12 - 169*y**3/6 - 12*y**2 - 3*y + 53. Let k(o) be the second derivative of v(o). Let k(a) = 0. What is a?
13
Suppose 28*x = 94*x. Let b(z) be the second derivative of 0*z**3 - 3/140*z**5 - 1/105*z**6 + x - 1/84*z**4 - z + 0*z**2. Suppose b(g) = 0. What is g?
-1, -1/2, 0
Let b be 7 - 30/(-10)*-1. Suppose 5*i - 96 = b*y - 98, -15 = -5*y. Factor -1/6*k**i + k + 0.
-k*(k - 6)/6
Let o(b) = -3*b**3 - 269*b**2 - 1432*b - 334. Let d be o(-84). Find g such that 2/11*g**d + 20/11 - 14/11*g = 0.
2, 5
Let c(u) = -69*u**2 - 21*u + 195. Let h(j) = -47*j**2 - 19*j + 196. Let d(y) = 2*c(y) - 3*h(y). Factor d(l).
3*(l - 6)*(l + 11)
Let t(z) be the first derivative of -z**4/2 + 778*z**3/3 - 388*z**2 + 2571. Determine x so that t(x) = 0.
0, 1, 388
Suppose -4*r = -4*i - 24, -16*i - 11 = -14*i - r. Let o be (-4)/40 + ((-245)/50 - i). Find z such that 2/3*z**3 + 2/3*z + 4/3*z**2 + o = 0.
-1, 0
Let z = 1727/3 - 569. Let m = -151/24 + z. Find h such that -9/8*h**4 + 9/8*h + 3/4*h**2 - m*h**5 + 3/8 - 3/4*h**3 = 0.
-1, 1
Factor -180*f**3 - 1161*f - 1307*f - 2210 - 2460*f**2 + 710 + 656*f - 1913*f.
-5*(f + 12)*(6*f + 5)**2
Solve 0 - 2/15*a**3 + 8/3*a**2 - 66/5*a = 0.
0, 9, 11
Let n(k) = 51 - 90*k + 33*k - 267 - 26*k**2 - 30*k**3 + 29*k**3. Let t be n(-24). Factor 3*h**2 + t*h + 3/4*h**4 + 0 + 3*h**3.
3*h**2*(h + 2)**2/4
Let y(u) be the third derivative of -2*u**7/105 + 17*u**6/6 + 1021*u**5/15 + 3335*u**4/6 + 1600*u**3 - 3922*u**2 + 2*u. Factor y(r).
-4*(r - 96)*(r + 1)*(r + 5)**2
Let p be (525/(-18))/35*(-4803)/5. Let v = p - 799. Solve -3/2*c + 3/8*c**2 + v = 0.
2
Let t = 774723 - 774721. Factor 18/11*q + 40/11 + 2/11*q**t.
2*(q + 4)*(q + 5)/11
Let d = -346 + 335. Let w be 31/(-2) + 8 - d. Find k, given that 9/2*k + w*k**3 + 15/2*k**2 + 1/2 = 0.
-1, -1/7
Suppose 0 = -4*y + 4*r - 781 + 297, -3*y - 363 = 5*r. Let h = y + 125. Let -12/5 + 24/5*a**h - 14/5*a**5 - 12/5*a**2 + 64/5*a**3 - 10*a = 0. Calculate a.
-1, -2/7, 1, 3
Let u(z) = 15*z**3 + 6*z**2 - 165*z + 132. Let s(v) = 13*v**3 + 6*v**2 - 159*v + 130. Let r(n) = 6*s(n) - 5*u(n). Factor r(a).
3*(a - 5)*(a - 1)*(a + 8)
Find t, given that -153*t - 301*t - 62*t - 5*t**3 + 150*t - 219*t + 120*t**2 + 810 = 0.
3, 18
Let w(u) = 22*u**3 + 4534*u**2 + 861832*u + 857328. Let t(s) = -8*s**3 - 1511*s**2 - 287277*s - 285777. Let h(l) = 8*t(l) + 3*w(l). Factor h(c).
2*(c + 1)*(c + 378)**2
Let l(m) = -2*m + 21*m**3 - 19*m**3 - 8 - 14*m**2 + 5*m - 8. Let o be l(7). Factor 4*q**5 + 2*q**5 + 2*q**4 - 4*q**o.
2*q**4*(q + 1)
Let x(h) = 14*h + 37*h + 29*h + 8*h + 12*h + 200. Let b be x(-2). Factor b*p - 1/3*p**3 + 0 + 0*p**4 + 0*p**2 + 1/3*p**5.
p**3*(p - 1)*(p + 1)/3
Let g = -247 + 254. Factor -o**2 - 10*o**2 + 20*o - g*o**2 + o**4 + 4*o**3 - 7.
(o - 1)**3*(o + 7)
Let j(z) = -205*z - 7*z**2 + 197*z + 4 - 2*z**2 - z**3. Let v be j(-8). Determine w so that -v*w**2 - 9*w - 3*w**3 + 4*w + 0*w + 4*w = 0.
-1, -1/3, 0
Factor -50/17*d**3 + 930/17*d**2 + 5096/17 - 4032/17*d.
-2*(d - 13)*(5*d - 14)**2/17
Factor 186/19 - 188/19*h + 2/19*h**2.
2*(h - 93)*(h - 1)/19
Let o(v) be the first derivative of -v**3/9 - 301*v**2 - 271803*v + 946. What is p in o(p) = 0?
-903
Let b(m) = 12*m**2 + 0*m**2 + m - 1 - 11*m**2. Let a(n) = -28*n - 74. Let k(h) = -28*h - 73. Let z(i) = -5*a(i) + 6*k(i). Let y(w) = 4*b(w) - z(w). Factor y(o).
4*(o + 4)**2
Let o = 58 + -48. Suppose 0 = -7*s + 67 + o. Determine k so that -128*k**5 - 8*k**2 + 132*k**5 - k**3 - s*k**3 = 0.
-1, 0, 2
Let d = 1060 - 502. Let z = d - 1115/2. Let 1/2*l**2 - z*l**4 + l**3 - l + 0 = 0. What is l?
-1, 0, 1, 2
Let j(f) be the first derivative of -f**6/1260 + 3*f**5/35 + 37*f**4/84 - 26*f**3/3 - 67. Let s(t) be the third derivative of j(t). Factor s(d).
-2*(d - 37)*(d + 1)/7
Let r(c) = -72*c**2 + 19*c + 16. Let g(m) = 865*m**2 - 230*m - 195. Let d(w) = 2*g(w) + 25*r(w). Find t such that d(t) = 0.
-2/7, 1/2
Let -24/5*c**2 + 897/5*c - 3/5*c**3 + 9126/5 = 0. What is c?
-13, 18
Suppose -2033*n + 2184*n = 0. Find l, given that -3/8*l**4 + 3/8*l**2 - 3/8*l**5 + n*l + 3/8*l**3 + 0 = 0.
-1, 0, 1
Let w(d) = 4731*d - 23653. Let c be w(5). Solve 3/5*m**3 + 15 + 9*m - 27/5*m**c = 0.
-1, 5
Suppose 4*w + 20 = 14*w. Factor -11*p**2 + 12*p**w - 4*p**3 + 3*p**2.
-4*p**2*(p - 1)
Let q(a) be the third derivative of -a**6/120 + a**4/24 - 1355*a**2 - 2*a. Factor q(g).
-g*(g - 1)*(g + 1)
Let d(g) be the first derivative of -3/4*g**4 + 1/2*g**6 + 0*g**2 + 2*g**3 + 97 - 6/5*g**5 + 0*g. Let d(b) = 0. Calculate b.
-1, 0, 1, 2
Find z such that -100 + 5*z**2 + z**5 + 19*z**4 + 124*z - 92*z**2 + 43*z**3 - 2*z**4 + 156*z - 154*z**2 = 0.
-10, 1
Let j be ((-116)/145)/((-7)/5). Let -10/7*w - j - 8/7*w**2 - 2/7*w**3 = 0. What is w?
-2, -1
Let q(x) be the first derivative of 0*x + 0*x**2 + 0*x**4 - 6/5*x**5 - 45 + 0*x**3 - 7/2*x**6. Factor q(z).
-3*z**4*(7*z + 2)
Let m(s) be the second derivative of -s**5/10 - 28*s**4/9 - 245*s**3/9 + 88*s**2/3 - 2034*s + 1. Find o such that m(o) = 0.
-11, -8, 1/3
Find d such that -464/7*d**2 - 156/7*d + 0 - 300/7*d**3 + 8/7*d**4 = 0.
-1, -1/2, 0, 39
Suppose -t + 2*m - 6 = 0, 4*m = -5*t + 3467 - 3427. What is q in -6/19*q**3 + 4/19*q**t + 0 - 8/19*q + 2/19*q**5 - 16/19*q**2 = 0?
-2, -1, 0, 2
Let n(w) be the third derivative of 4/11*w**3 - 68*w**2 + 0*w + 1/12*w**4 + 0 - 1/330*w**5. Factor n(q).
-2*(q - 12)*(q + 1)/11
Let -388*g**2 - 2*g**3 + 0*g**3 + 2*g**3 - 2*g**3 - 386*g + 0*g**3 = 0. What is g?
-193, -1, 0
Suppose -r - 1684 = 3*q, -q - 226 - 322 = -3*r. Let o = q - -570. Factor 20*d**2 + 5 + 5/3*d**4 + o*d**3 + 50/3*d.
5*(d + 1)**3*(d + 3)/3
Let b(j) be the third derivative of -j**7/1050 - j**6/300 + 4*j**5/75 + 4*j**4/15 - 4601*j**2. Suppose b(z) = 0. What is z?
-4, -2, 0, 4
Let o be (-21)/2*16/(-3). Suppose 3*h**2 + 507*h - 471*h + o + h**2 = 0. Calculate h.
-7, -2
Let v(s) be the third derivative of s**6/60 - 2*s**5/15 - 205*s**2. Determine f, given that v(f) = 0.
0, 4
Factor -3/2*r**3 - 5/2*r + 0 - 9/2*r**2 + 1/2*r**4.
r*(r - 5)*(r + 1)**2/2
Let n(y) be the third derivative of -y**7/1470 - 9*y**6/280 - 3*y**5/10 + 6*y**2 + 5. Suppose n(h) = 0. Calculate h.
-21, -6, 0
Suppose 4*i = 6*i - 4. Let l be -3 + (17 - i)/3. Factor w + 7*w + l - 2*w - 3*w**2 - 5*w.
-(w - 1)*(3*w + 2)
Let d be (-6160)/(-1925) + -3*1. Factor d*r**2 + 441/5 + 42/5*r.
(r + 21)**2/5
Let g be 2 + 0 - 0/21. Factor 158 - 32*u**3 + 8*u - 158 + 12*u**4 + 12*u**g.
4*u*(u - 2)*(u - 1)*(3*u + 1)
Suppose d - 2*g = 6, -d - 6 = 9*g - 5*g. Find k such that -138*k + d*k**2 + 64 - 70*k + 274*k = 0.
-32, -1
What is a in -283024/5 + 1063/5*a**2 + 56392*a + 1/5*a**3 = 0?
-532, 1
Let r(a) be the second derivative of 0 - 159*a - 8/9*a**3 - 4*a**2 + 1/15*a**6 + 23/54*a**4 + 1/189*a**7 + 3/10*a**5. Determine w so that r(w) = 0.
-3, -2, 1
Let o(g) be the second derivative of -g**4/48 + 277*g**3/12 + 139*g**2 + 8090*g. Factor o(a).
-(a - 556)*(a + 2)/4
Factor -22 + 441/4*g - 5/4*g**2.
-(g - 88)*(5*g - 1)/4
Let i(h) be the second derivative of -h**5/15 + 4*h**4/3 - 8*h**3 - 529*h. Solve i(o) = 0.
0, 6
Let u(w) be the first derivative of 2*w**6/15 - w**4/3 - 9*w + 53. Let j(d) be the first derivative of u(d). Suppose j(t) = 0. Calculate t.
-1, 0, 1
Let m(b) be the first derivative of 0*b - 61 + 7/55*b**5 - 5/22*b**4 + 0*b**2 - 1/66*b**6 + 0*b**3. Factor m(a).
-a**3*(a - 5)*(a - 2)/11
Let k(l) = l**2 - 3. Let i be k(4). Let c be (-10)/4*(2 - -11 - 19). Determine u so that -6*u - 2*u + c*u**2 - i*u**2 = 0.
0, 4
Let a(h) be the second derivative of 3*h**5/70 + 2*h**4/7 + h**3/7 - 18*h**2/7 - 2*h - 6071. Factor a(c).
6*(c - 1)*(c + 2)*(c + 3)/7
Let z = 3163 + -3165. Let r(b) = -2*b**2 + 19*b + 21. Let w(c) be the third derivative of c**4/24 + c**3/6 + c**2. Let m(f) = z*r(f) + 18*w(f). Factor m(p).
4*(p - 6)*(p + 1)
Factor 56/9*v - 4/3*v**3 + 104/9 - 22/9*v**2.
-2*(v + 2)**2*(6*v - 13)/9
Let x = -26387793 + 26335021903/998. Let y = 1/499 + x. Factor 3/2*a**2 + y*a - 6.
3*(a - 1)*(a + 4)/2
Let r = -226 - -190. Let d(t) = 2*t**2 + 32*t + 20. Let k(o) = o + 2. Let n(q) = r*k(q) + 2*d(q). Factor n(c).
4*(c - 1)*(c + 8)
Solve 50/3*b**3 - 1/9*b**5 + 17/3*b + 152/9*b**2 + 16/3*b**4 + 0 = 0.
-1, 0, 51
Let k = 132 + -128. Let y be ((5 - k) + -17)*-3. Factor -4*w**5 - 152*w**2 + 11*w**3 - y + 8*w**4 - 3*w**3 - 2*w**3 + 148*w + 42*w**3.
-4*(w -