ive of 1/4*t**3 - 1/360*t**5 + 2 - 33*t**2 + 0*t + 1/18*t**4. Let w(a) = 0. What is a?
-1, 9
Let d(c) be the third derivative of -c**6/3960 + 13*c**5/1320 + 7*c**4/132 - 79*c**3/3 + 128*c**2. Let y(z) be the first derivative of d(z). Factor y(j).
-(j - 14)*(j + 1)/11
Let b(y) = y**3 + 159*y**2 - 1434*y + 1274. Let d = 217 + -223. Let c(p) = -p**3 + p**2 - p + 1. Let j(n) = d*c(n) - b(n). Find r such that j(r) = 0.
1, 16
Let h(u) be the first derivative of -u**6/1440 - u**5/24 + 7*u**4/32 - 8*u**3/3 - 2*u**2 + 49. Let o(k) be the third derivative of h(k). Factor o(y).
-(y - 1)*(y + 21)/4
Let y be (-35)/315 - (-616)/441. Determine g, given that 0 + y*g**4 - 12/7*g - 3/7*g**3 - 24/7*g**2 = 0.
-1, -2/3, 0, 2
Factor -40867*p**2 - 6325*p**2 + 58765*p - 80341*p**2 + 14075*p - 2670 - 7734 + 147*p**3.
3*(p - 867)*(7*p - 2)**2
Suppose 516*v = 7188 + 9038 - 1778. Let w(f) be the second derivative of v*f + 3/4*f**2 + 0 + 1/6*f**3 - 1/24*f**4. Factor w(m).
-(m - 3)*(m + 1)/2
Let z(i) = -6*i**3 + 129*i**2 + 61*i + 113. Let v be z(22). Determine c so that -16/9*c**4 - 50/9*c**v - 16/9 - 56/9*c - 76/9*c**2 - 2/9*c**5 = 0.
-2, -1
Let u(i) be the third derivative of i**6/6 - 101*i**5/30 + 5*i**4/6 + 12*i**2 + 45*i. Factor u(y).
2*y*(y - 10)*(10*y - 1)
Let u(y) be the second derivative of 0*y**2 + 14/45*y**4 + 1/45*y**7 + 16*y + 3 + 1/25*y**5 - 23/225*y**6 - 8/45*y**3. Solve u(p) = 0.
-1, 0, 2/7, 2
Let r(j) = -2*j + 4. Let p be r(-3). Suppose -30*g + 73 + 57 = 40. Factor -157*v**g + 157*v**3 - p*v**4 + 5*v**5.
5*v**4*(v - 2)
Let l = 107 - -35. Let w = -140 + l. Factor 32*c**3 + 203 + w*c**4 + 85 + 1850*c + 176*c**2 - 1466*c.
2*(c + 2)**2*(c + 6)**2
Let -418/9*n + 2/9*n**5 + 4/9*n**2 - 212/9*n**4 + 416/9*n**3 + 208/9 = 0. What is n?
-1, 1, 104
Let t(p) be the second derivative of -2*p + 0*p**2 + 0*p**3 + 2/15*p**4 - 176 + 1/25*p**5. Suppose t(w) = 0. What is w?
-2, 0
Let y = 1084986 - 5424928/5. Factor -56/5 + 64/5*q + y*q**3 - 22/5*q**2.
2*(q - 7)*(q - 2)**2/5
Suppose 24*t - 4 = 26*t. Let m be 795/225 - t/(-10). Solve -5*w - m + 0*w**2 + 5/3*w**3 = 0.
-1, 2
Let p(i) be the second derivative of -1/3*i**4 + 0 - 35*i + 0*i**3 + 1/5*i**5 - 1/30*i**6 + 0*i**2. Find y such that p(y) = 0.
0, 2
Let d be -3*(-81 - -7)/(6/(-2)). Let g = -71 - d. Suppose 286*b**5 - 20*b**2 - 200*b**g + 28*b**4 - 413*b**4 + 319*b**5 = 0. Calculate b.
-2/11, 0, 1
Let t(y) be the first derivative of 4 - 4/7*y**3 - 1/2*y**4 + 0*y**2 + 0*y - 2/35*y**5. Factor t(z).
-2*z**2*(z + 1)*(z + 6)/7
Suppose -4*u - 6 = 10, 3*d = -u + 227. Let i be 14/(-36)*(-44)/d. Suppose -i*y + 2/9*y**2 - 4/9 = 0. Calculate y.
-1, 2
Suppose 0 = 5*i + d - 11, 0 = 4*i - 5*d - 30 - 2. Find a such that 9*a**3 + 3*a**3 + 4*a**i - 4*a**4 = 0.
0, 4
Let m(x) be the third derivative of -x**6/210 - 8*x**5/15 + 25*x**4/6 - 236*x**3/21 + 13*x**2 - 1. Factor m(d).
-4*(d - 2)*(d - 1)*(d + 59)/7
Find j such that 1008*j + 3026/3 - 2/3*j**2 = 0.
-1, 1513
Let y(v) be the second derivative of 2*v**7/3 - 29*v**6/10 + v**5/5 + 11*v**4 - 16*v**3/3 - 154*v - 14. Find m, given that y(m) = 0.
-8/7, 0, 1/4, 2
Let r = 7/3762 + 8461/1881. Let 0 + 75/2*o**2 - 9*o - 6*o**4 - r*o**3 = 0. Calculate o.
-3, 0, 1/4, 2
Let z = 414 + -412. Determine p so that -4*p**4 + 48*p - 33*p**4 + 10*p**4 - 14*p**3 - 110*p**3 - 66*p**z - 101*p**3 = 0.
-8, -2/3, 0, 1/3
Let m(o) be the third derivative of 2*o**7/105 + 29*o**6/60 + 79*o**5/30 - 173*o**4/12 + 21*o**3 - 22*o**2 + 10*o. What is y in m(y) = 0?
-9, -7, 1/2, 1
Let y be 120/5 - (-4 - -1). Let s be (-3)/(y/4) + 80/18. Factor 0*x - 1/2*x**5 - 2*x**3 + 2*x**s + 0*x**2 + 0.
-x**3*(x - 2)**2/2
Let j(z) be the first derivative of 94 + 8/5*z - 34/5*z**2 + 433/20*z**4 + 121/30*z**6 + 38/15*z**3 + 88/5*z**5. Let j(v) = 0. What is v?
-2, -1, 2/11
Let v(l) = -18*l**3 - 15. Let j be 2/9 - (-6)/((-432)/88). Let f be j + (-335)/(-20) - 3/4. Let p(n) = n**3 + 1. Let k(m) = f*p(m) + v(m). Factor k(u).
-3*u**3
Let n = -3814 + 3814. Let f(d) be the third derivative of -1/24*d**6 - 5*d**2 + n*d + 5/24*d**4 + 0*d**5 + 0*d**3 + 0. What is u in f(u) = 0?
-1, 0, 1
Let g = 289178/7 - 41310. Let v be 6 + -2 + -2 - (-5)/5. Solve -g*w**2 + 2/7*w**v + 0 + 8/7*w = 0 for w.
0, 2
Let k(n) be the second derivative of -43/21*n**3 + 3*n + 14 + 6*n**2 - 2/3*n**4 - 3/70*n**5. Factor k(i).
-2*(i + 3)*(i + 7)*(3*i - 2)/7
Suppose -5*f + 5 = -5*k, -4*f - 4*k = -13 + 1. Suppose -3*w + 123 = -3*s - 27, 0 = -f*s. Let w - y + 24*y + 0*y**2 - 3*y + 2*y**2 = 0. Calculate y.
-5
Let o(c) = 3*c**2 - 8*c + 27. Let d = 3351 + -3346. Let s(u) = u - 16*u + 2*u**2 + 55 + 5*u**2. Let v(l) = d*o(l) - 2*s(l). Factor v(p).
(p - 5)**2
Let u be (-3)/4 + 45/12. Suppose -g - 4*x = 4*g - 42, u = x. Suppose 14*s**3 + 18*s**3 + s**3 - 18*s**3 + 3*s**2 - 6*s + g*s**4 = 0. Calculate s.
-2, -1, 0, 1/2
Factor 2/17*u**2 + 2298368/17 + 4288/17*u.
2*(u + 1072)**2/17
Let c(i) be the second derivative of -2*i**7/21 - 62*i**6/15 - 59*i**5/5 - 29*i**4/3 + 5103*i. Factor c(z).
-4*z**2*(z + 1)**2*(z + 29)
Let b be -28 - -68 - (-21844)/(-602). Solve 11/7*k - 1/7*k**2 + b = 0.
-2, 13
Let m be (-3592)/(-20) + 3*10/75. Let u be 1362/m + -7 + (-6)/15. Find t, given that 0*t - u*t**2 + 0 = 0.
0
Let d(v) = 4*v**4 + 237*v**3 + 247*v**2 - 63*v. Let g(t) = -3*t**4 - 158*t**3 - 165*t**2 + 45*t. Let w(x) = 5*d(x) + 7*g(x). Determine h, given that w(h) = 0.
-1, 0, 80
Let n be 0/(24/168*-14). Let 10*a**5 + n - 192/5*a**2 + 6*a**4 - 148/5*a**3 - 64/5*a = 0. What is a?
-1, -4/5, 0, 2
Find o such that -72*o - 619*o**2 - 86*o**3 + 1101*o**2 - 650*o**2 - 10*o**4 = 0.
-6, -2, -3/5, 0
Let s(u) be the second derivative of -u**7/21 + 14*u**6/3 - 816*u**5/5 + 6313*u**4/3 + 1633*u**3/3 - 12696*u**2 - 7*u + 201. Suppose s(g) = 0. Calculate g.
-1, 1, 23, 24
Let f be (-34)/306 - (-74)/(-36). Let m = -5/6 - f. What is n in -4/3*n**2 - m*n + 0 = 0?
-1, 0
Suppose v + 3*d = -6, -4*v + 5*d - 167 = -177. Let j(f) be the second derivative of 1/10*f**6 + v*f**2 + 1 - 1/4*f**4 + 3*f + 0*f**3 + 0*f**5. Factor j(p).
3*p**2*(p - 1)*(p + 1)
Let z = -295243/4 + 73811. Suppose -1/4*m**3 + 3/2 - z*m - m**2 = 0. Calculate m.
-3, -2, 1
Factor 629*h**3 - 207*h**3 - 211*h**3 - 26*h + 30 - 209*h**3 - 6*h**2.
2*(h - 5)*(h - 1)*(h + 3)
Let r(q) be the third derivative of -1/6*q**4 + 2/75*q**5 + 4/15*q**3 + 0 + 0*q - 11*q**2. Solve r(s) = 0.
1/2, 2
Let b(l) be the second derivative of -l**4/4 - 149*l**3/2 + 453*l**2 - 2033*l. Solve b(v) = 0.
-151, 2
Factor 3/2*j**3 + 0 - 264*j + 129*j**2.
3*j*(j - 2)*(j + 88)/2
Let d = 53 + -57. Let w be (-2)/3*-6 - d. Factor 75 + 17*l + 3*l**2 + 5*l + w*l.
3*(l + 5)**2
Suppose -488*u - 193*u = 0. Factor 0 + 24/5*b**3 - 12/5*b**2 + u*b + 9/5*b**5 + 33/5*b**4.
3*b**2*(b + 2)**2*(3*b - 1)/5
Suppose -2*o = -1 - 5. Find p such that 73*p - 195*p - 45*p**4 + 10*p**o - 220*p**2 - 34*p - 5*p**5 + 36*p - 160*p**3 = 0.
-3, -2, 0
Let p(f) be the third derivative of f**7/210 - 103*f**6/120 - 26*f**5/15 - 4*f**2 + 13. Determine h so that p(h) = 0.
-1, 0, 104
Factor 16/3*q - 4/3*q**2 + 0.
-4*q*(q - 4)/3
Solve 1159*n + 1343281 + 1/4*n**2 = 0.
-2318
Let p(x) = -x**3 + x**2 - 9. Let g be p(-2). Let r(m) be the first derivative of 0*m**2 + 0*m + 1/12*m**4 + 4 + 2/9*m**g. Find a, given that r(a) = 0.
-2, 0
Factor -6545/3*v - 8567405/6 - 5/6*v**2.
-5*(v + 1309)**2/6
Let y(r) = -12*r**3 - 1104*r**2 + 2244*r - 1206. Let v(g) = 3*g**3 + 276*g**2 - 561*g + 302. Let n(j) = -39*v(j) - 10*y(j). Let n(s) = 0. Calculate s.
-94, 1
Let r be -5*((-5)/((-100)/4))/((-88)/16). Find x such that -r*x**2 - 10/11 - 12/11*x = 0.
-5, -1
Let x = 72 + -75. Let g be x/2 - 5/2. Let i(p) = 2*p**2 - 2*p + 2. Let j(v) = 4*v**2 - 5*v + 5. Let f(h) = g*j(h) + 10*i(h). Factor f(m).
4*m**2
Let k(z) be the third derivative of -5/96*z**4 + 0*z + 0 + 1/240*z**5 + 5*z**2 + 0*z**3. Determine r so that k(r) = 0.
0, 5
Let o = -251820 - -251823. Factor o*u**3 + 0 + 9/5*u**2 + 3/5*u**4 - 3/5*u**5 + 0*u.
-3*u**2*(u - 3)*(u + 1)**2/5
Let x(v) = -v**2 - 9*v - 11. Let j be x(-2). Let u(q) be the first derivative of -17 + 1/11*q**2 + 4/33*q**j - 2/11*q. Let u(g) = 0. Calculate g.
-1, 1/2
Suppose 0 = -47*z + 673 + 972. Suppose 25*q + z*q = 0. Let 1/9*a**4 - 2/9*a**2 + q*a + 0 - 1/9*a**3 = 0. Calculate a.
-1, 0, 2
Let h(x) be the third derivative of -19*x**5/180 + 5