= 0. What is p?
-860, 1
Let z(f) be the third derivative of -f**8/33600 + f**7/4200 - 11*f**4/6 + 11*f**2. Let x(c) be the second derivative of z(c). Factor x(i).
-i**2*(i - 3)/5
Let t(y) = -20*y**2 + 278*y + 31. Let s be t(14). Let j = 242 + -3626/15. Factor j*o + 0 - 2/15*o**2 - 2/15*o**s.
-2*o*(o - 1)*(o + 2)/15
Factor -179*f - f**2 + 982 - 391 - 228*f + 227.
-(f - 2)*(f + 409)
Let z = 1259 - 1275. Let a be z - -11 - 195/(-12). Factor -a*l**2 + 6*l + 9/4 + 3*l**3.
3*(l - 3)*(l - 1)*(4*l + 1)/4
Let k be (-176)/6 - 20/30. Let u be (-5)/15 + k/(-9). Suppose 3*f**3 + 4*f**4 - 18*f**2 + 7*f**u + 8 - 8*f - 8*f**3 = 0. Calculate f.
-2, -1, 1/2, 2
Let d(l) be the third derivative of l**6/400 - 473*l**5/300 + 21*l**4/16 - 2*l**2 + 10*l + 137. Suppose d(x) = 0. Calculate x.
0, 1/3, 315
Let j(a) = 12*a**2. Let l(i) = -9*i**2 - 910*i - 200. Let y(o) = -3*j(o) + l(o). Factor y(x).
-5*(x + 20)*(9*x + 2)
Let l be 36/17 + 76/(-646). Let a(x) be the first derivative of 7/5*x**4 - x**l + 6/25*x**5 - 9 - 2/5*x - 4/15*x**3 - 3/5*x**6. Let a(g) = 0. Calculate g.
-1, -1/3, 1
Let f = -1438 - -1436. Let k(m) = -9*m - 11. Let o be k(f). Determine t, given that 1/7*t**4 + 78/7*t**2 + o + 16/7*t**3 + 16*t = 0.
-7, -1
Let f(i) = i**4 - 2*i**3 - 2*i + 2. Let y(j) = 49*j**5 - 174*j**4 + 184*j**3 - 68*j**2 + 6*j + 2. Let u(q) = 2*f(q) - 2*y(q). Find n such that u(n) = 0.
0, 2/7, 1, 2
Let g(c) be the first derivative of c**4/10 - 4*c**3/5 - 4*c**2/5 + 48*c/5 - 185. What is s in g(s) = 0?
-2, 2, 6
Let h(f) = 2*f**4 + f**2 + f. Let i(y) = -9*y**4 - 51*y**3 - 197*y**2 - 241*y - 94. Let b(u) = 4*h(u) + i(u). Factor b(a).
-(a + 1)**2*(a + 2)*(a + 47)
Let j(f) = -f**3 - 125*f**2 - 831*f - 587. Let x be j(-118). Determine k, given that 0*k**2 - 1/4 - 1/2*k + 1/2*k**x + 1/4*k**4 = 0.
-1, 1
Let t(h) be the first derivative of -24/11*h**2 + 31 - 32/11*h - 1/22*h**4 - 6/11*h**3. Factor t(x).
-2*(x + 1)*(x + 4)**2/11
Suppose 4328/5*q - 2/5*q**2 - 2341448/5 = 0. Calculate q.
1082
Factor 464/15*u + 0 - 926/15*u**2 + 2/15*u**4 + 92/3*u**3.
2*u*(u - 1)**2*(u + 232)/15
Let v(s) be the third derivative of 7/240*s**5 + 0*s + 32*s**2 + 0*s**4 + 0*s**3 + 0 - 1/120*s**7 - 1/1344*s**8 + 1/480*s**6. Solve v(m) = 0.
-7, -1, 0, 1
Let y(d) = 76*d**2 - d - 1. Let q(p) = -305*p**2 - 520*p - 1559. Let g(j) = -q(j) - 4*y(j). Factor g(i).
(i + 3)*(i + 521)
Suppose -51*v - 1089 = -2058. Let s(c) be the third derivative of 3/100*c**5 - 1/100*c**6 + 0*c - 1/5*c**3 + 3/40*c**4 + 0 - v*c**2. Factor s(z).
-3*(z - 2)*(z + 1)*(2*z - 1)/5
Let j(l) = -26*l**4 + 177*l**3 - 582*l**2 + 575*l - 180. Let d(k) = -3*k**4 - k**3 - 2*k**2 + k + 1. Let b(u) = -36*d(u) + 4*j(u). Let b(o) = 0. What is o?
-189, 1
Suppose 50 = n - 5*o, 88*o = -2*n + 90*o + 20. Factor 0*k**2 + 1/5*k**3 + n*k + 0.
k**3/5
Let y = -9 + 11. Let o(t) = -22*t**2 - 12*t - 1 - 1 + 25*t**y. Let c(h) = -20*h**2 + 85*h + 15. Let u(s) = -2*c(s) - 15*o(s). Factor u(q).
-5*q*(q - 2)
Suppose -2*r + 10 = 6*o - 4*o, -1 = -5*r + 3*o. Let c be 4/20 - r/20*2. Factor c + 1/3*z**3 + 0*z + 1/3*z**2.
z**2*(z + 1)/3
Let h(d) = 2*d**2 - 29*d + 123. Let w be h(5). Suppose -2*u + 24 = -l - 3*l, -4*u + w = -3*l. Factor 4/7*j**u - 2/7 - 2/7*j**2 - 1/7*j**5 - 4/7*j**3 + 5/7*j.
-(j - 2)*(j - 1)**3*(j + 1)/7
Let m = -369 + 544. Let c be m/1800 + 2/16. Factor 4/9 + 2/3*p + c*p**2.
2*(p + 1)*(p + 2)/9
Let v(y) be the second derivative of -35*y + 2 - 3/40*y**5 + 0*y**2 + 1/60*y**6 + 1/3*y**3 + 0*y**4. Factor v(b).
b*(b - 2)**2*(b + 1)/2
Let t(w) = -4*w**2 - 5*w - 2. Let o(u) = 9*u**2 - 57*u + 424. Let i(n) = 2*o(n) + 4*t(n). Factor i(a).
2*(a - 60)*(a - 7)
Let m(o) be the third derivative of 5*o**8/336 - 9*o**7/14 + 235*o**6/24 - 275*o**5/4 + 1505*o**4/6 - 490*o**3 - 299*o**2. Suppose m(c) = 0. What is c?
1, 2, 3, 7, 14
Let j(o) be the third derivative of 0*o - 1/1260*o**7 + 0 + 7/720*o**6 - 7/144*o**4 - 114*o**2 - 2/9*o**3 + 1/40*o**5. Find z such that j(z) = 0.
-1, 1, 8
Solve -13*f**2 + 4*f**3 - 47*f**2 + 21*f**2 - f**5 - f**2 + 10*f**4 = 0 for f.
-2, 0, 2, 10
Let b be -1*1 + (47 - 44). Factor -569*d + 48*d**2 + 16*d**2 + 2704 + 36*d**b + 1609*d.
4*(5*d + 26)**2
Let u(b) be the second derivative of 133 + 1/6*b**4 - 2*b + 24*b**2 + 11/3*b**3. Let u(y) = 0. Calculate y.
-8, -3
Let m(u) be the second derivative of -u**6/210 - 3*u**5/28 - 13*u**4/28 + 55*u**3/42 - 1011*u. Factor m(t).
-t*(t - 1)*(t + 5)*(t + 11)/7
Let j(i) = -5*i**2 - 24*i + 9. Let w be j(-4). Suppose -41*s**4 - 52*s**4 + 29*s + 68*s**4 - 5*s**5 + s + 25*s**2 - w*s**3 = 0. What is s?
-3, -2, -1, 0, 1
Solve 9/4 - 393/2*t + 777/4*t**2 = 0.
3/259, 1
Let i(y) = 2*y**5 + y**4 - y**3 - y**2 + y. Let o(r) = -4*r**5 + 828*r**4 - 3364*r**3 + 5076*r**2 - 3392*r + 848. Let p(d) = -4*i(d) - o(d). Factor p(g).
-4*(g - 1)**4*(g + 212)
Let w(x) be the second derivative of 121*x**5/150 - 33*x**4/10 + 27*x**3/5 + 34*x**2 + 8*x + 13. Let v(d) be the first derivative of w(d). Factor v(i).
2*(11*i - 9)**2/5
Let x = 1801/2345 - -15/469. Factor x - 6/5*w + 2/5*w**2.
2*(w - 2)*(w - 1)/5
Suppose -50*i = -43*i - 35. Suppose 0 + 6/19*w**4 + 2/19*w**3 - 8/19*w**i + 0*w + 0*w**2 = 0. Calculate w.
-1/4, 0, 1
What is y in -2*y**2 + 50/9 - 10/3*y - 2/9*y**3 = 0?
-5, 1
Let v = 89 + -77. Suppose 2*z + 68 = 2*a, -v = -a - 3*z + 6. Factor 4*m**3 - a*m**4 + 6*m**5 - m**5 + 17*m**4 + 5*m**3 + m**2 - 2*m.
m*(m - 1)**3*(5*m + 2)
Suppose 12*q + 78 + 66 = 0. Let i be (-2)/5 - q/5. Determine h so that 5*h**i - h**3 - 4*h**2 - 3584*h + 3584*h = 0.
0, 1
Let f(j) be the third derivative of -3*j - 1/150*j**6 - 1/5*j**5 + 0 - 50/3*j**3 + 4*j**2 - 5/2*j**4. Factor f(i).
-4*(i + 5)**3/5
Factor 330*k**4 - 217*k**3 + 332*k**4 + 217*k - 663*k**4 + k**2.
-k*(k - 1)*(k + 1)*(k + 217)
Let s(k) be the first derivative of -2*k**5/15 - 4*k**4/3 - 14*k**3/3 - 22*k**2/3 - 16*k/3 - 666. Solve s(y) = 0 for y.
-4, -2, -1
Suppose 20*j = -5*x + 18*j + 26, 16 = x + 4*j. Factor -12/7*q**x + 3/7*q**3 + 0*q**2 + 0 + 0*q.
-3*q**3*(4*q - 1)/7
Let u(x) be the third derivative of -32/11*x**3 + 2 - 8/33*x**4 + 0*x + 1/165*x**5 + 117*x**2 + 1/660*x**6. Factor u(m).
2*(m - 6)*(m + 4)**2/11
Let d(q) be the first derivative of -q**3/2 + 423*q**2/2 - 2511*q/2 + 338. Factor d(p).
-3*(p - 279)*(p - 3)/2
Let o(k) = 8*k - 252. Let n be o(31). Let d be 0*(n/6 + 26/156). Let d*c**2 + 2/3*c**3 - 8/3*c + 0 = 0. What is c?
-2, 0, 2
Let g(l) = 10*l**3 + 128*l**2 + 451*l + 339. Let m(c) = -7*c**3 - 124*c**2 - 451*c - 338. Let w(t) = 2*g(t) + 3*m(t). Suppose w(u) = 0. Calculate u.
-112, -3, -1
Suppose 8*n + 8*n = -4*n. Suppose n = -24*o + 69*o - 90. Let -10/13*f**o - 8/13 - 2/13*f**3 - 16/13*f = 0. What is f?
-2, -1
Let o(y) = -2*y**4 + y**2. Let r(s) = 5*s**4 - 12*s**3 - 24*s**2 - 10*s. Let m(d) = -6*o(d) - 2*r(d). What is p in m(p) = 0?
-10, -1, 0
Let x be ((-506)/99)/((-5)/(-390)). Let b = x - -399. Factor b*l**2 - 5/3*l + 2.
(l - 3)*(l - 2)/3
Let u be 1/4 + (-11)/(-20) - (-282)/235. Factor -21 - 27/2*m - 3/2*m**u.
-3*(m + 2)*(m + 7)/2
Let d(s) be the first derivative of 4*s**3/15 - 12*s**2/5 - 1461. Factor d(o).
4*o*(o - 6)/5
Let o(d) = d**4 - d**2 + 4*d - 1. Let m(p) = 24*p**4 + 46*p**3 - 54*p**2 + 24*p - 10. Let h(k) = -2*m(k) + 20*o(k). Factor h(l).
-4*l*(l - 1)*(l + 4)*(7*l + 2)
Let r be (4340/(-60))/(2 + 5/(-3)). Let g = r - -2401/11. Factor 18/11*h**4 + 0*h**2 + 0 + 0*h + g*h**5 + 4/11*h**3.
2*h**3*(h + 1)*(7*h + 2)/11
Suppose -1997*t - 893*t + 9613 = 3155 - 10882. Factor -t - 1/2*i**3 - 19/2*i - 4*i**2.
-(i + 1)*(i + 3)*(i + 4)/2
Let 23*i**2 - 2*i**3 + 177*i**2 + 140*i**2 = 0. What is i?
0, 170
Suppose 3*r = -q - 0 + 6, 10 = 4*q + 5*r. Suppose 4*y + y = q. Factor -11*l**2 + 6*l**2 - 30 - 35*l + y*l**2.
-5*(l + 1)*(l + 6)
Suppose -n = 2*b - 13, -16 = -2*n - 410*b + 408*b. Determine o, given that 34/3*o**2 + 5/3*o**5 - 8/3 - 4/3*o + 28/3*o**4 + 53/3*o**n = 0.
-2, -1, 2/5
Let f(x) be the first derivative of -2*x**5/5 + 49*x**4/2 - 368*x**3/3 + 180*x**2 - 2708. What is l in f(l) = 0?
0, 2, 45
Let a(f) be the first derivative of 41 - 9/10*f**5 + 5/2*f**2 + 0*f - 19/2*f**3 + 7*f**4. Factor a(k).
-k*(k - 5)*(k - 1)*(9*k - 2)/2
Let g(r) be the first derivative of 95*r**4/6 + 2*r**3/9 - 4*r**2/3 + 1775. Factor g(i).
2*i*(5*i - 1)*(19*i + 4)/3
Let q = 527579/3 + -175859. Let -1/9*t**4 - q*t**3 + t*