3 + i*r**2 + 6*r**3 = 0 for r.
-1, 0, 1, 3
Let f(v) be the first derivative of 0*v**5 + 0*v + 6*v**2 + 0*v**3 - 2 + 0*v**4 + 0*v**6 + 1/42*v**7. Let d(k) be the second derivative of f(k). Factor d(s).
5*s**4
Suppose b = 24 + 28. Let p = -50 + b. Factor -64*d**3 + 33*d**3 - d - 7*d + 29*d**3 - 10*d**p.
-2*d*(d + 1)*(d + 4)
Let b(x) = -37*x**2 + 31*x + 12. Suppose 0*v - 5*d = v + 16, -v = 4*d + 12. Let j(a) = 36*a**2 - 32*a - 12. Let i(q) = v*b(q) + 3*j(q). Let i(o) = 0. What is o?
-3/10, 1
Solve 246*z + 8*z**2 - 6*z**3 + 5*z**3 + 2*z**2 - 270*z = 0 for z.
0, 4, 6
Let l(c) be the third derivative of 6*c**2 + 0*c - 1/8*c**3 + 7 - 7/120*c**5 + 1/840*c**7 - 1/1344*c**8 + 11/96*c**4 + 1/80*c**6. Suppose l(h) = 0. Calculate h.
-3, 1
Let p be ((-14)/18 - 16/(-36))*-12. Let k(w) be the first derivative of -1/2*w**3 + 0*w - 5/8*w**p - 1/10*w**5 - 21 + 9/4*w**2. Determine d so that k(d) = 0.
-3, 0, 1
Let b = 4/55 + 487/110. Let t(h) be the first derivative of b*h**2 + 3*h - 2 + 3/4*h**4 + 3*h**3. Factor t(x).
3*(x + 1)**3
Suppose -17 = -4*x + k, 0 = 3*x + 45*k - 40*k - 7. Let w(l) be the third derivative of -1/36*l**x + 0*l - 4/27*l**3 - 7*l**2 + 0 + 1/270*l**5. Factor w(v).
2*(v - 4)*(v + 1)/9
Let f(y) be the second derivative of -y**6/225 + 353*y**5/150 - 7018*y**4/15 + 1762736*y**3/45 - 1560896*y**2/3 - 6374*y. Factor f(q).
-2*(q - 116)**3*(q - 5)/15
Suppose 569/2*x - 1/4*x**2 - 323761/4 = 0. What is x?
569
Let h(s) be the second derivative of -9*s**6/50 + 12*s**5/25 + 121*s**4/20 + 58*s**3/5 + 6*s**2 - 3408*s. Let h(c) = 0. What is c?
-2, -1, -2/9, 5
Find v, given that 369*v + 366 + 20335*v**2 - 10166*v**2 - 10166*v**2 = 0.
-122, -1
Suppose -4*u + u - 4*p - 11 = 0, 5*p = 2*u - 31. Let c = -10 - -22. Find l such that -4 + 32*l**3 - 28*l**4 - c*l**u + 4 + 8*l**2 = 0.
-2/7, 0, 1
Let g(t) be the third derivative of -t**8/1512 - t**7/945 + t**6/36 + t**5/270 - 19*t**4/54 + 8*t**3/9 - 1281*t**2. Suppose g(b) = 0. Calculate b.
-4, -2, 1, 3
Let j be 6/((-1)/(-7)*7). What is t in -5*t**4 - t**2 + t**4 + j*t**2 - t**2 = 0?
-1, 0, 1
Let q(p) be the third derivative of p**8/63 - 26*p**7/35 - 223*p**6/90 + 179*p**5/45 + 73*p**4/6 - 124*p**3/9 - 14*p**2 + 51. What is b in q(b) = 0?
-2, -1, 1/4, 1, 31
What is a in -168*a + 63*a**2 + a**2 - 131*a**2 - 195*a**2 - 30 + 8*a**4 - 120*a**3 - 4 = 0?
-1, -1/2, 17
Let a = 258 - 256. Factor 14*h + h**2 - 6*h**a + 21*h.
-5*h*(h - 7)
Let g be 2 + 77/(-55) + 51. Let p = g - 2828/55. Let -4/11*f**2 - p*f**3 + 2/11*f + 4/11 = 0. What is f?
-2, -1, 1
Let i(g) = g**2 - 452*g - 6. Let x(n) = 3*n**2 - 904*n - 10. Let f(w) = -5*i(w) + 3*x(w). Factor f(b).
4*b*(b - 113)
Let i(g) = 181*g**2 - 93*g - 106. Let j(q) = 45*q**2 + q - 2. Let s(p) = 3*i(p) - 12*j(p). Find d, given that s(d) = 0.
-1, 98
Let b(l) = 69*l**2 + 61*l**2 + 74*l - 9*l - 46 - 121*l**2 - 29. Let c(k) = 4*k**2 + 32*k - 38. Let m(d) = -6*b(d) + 13*c(d). What is h in m(h) = 0?
2, 11
Suppose -5*m - 5*d + 35 = 0, m - 13 = 2*d - 5*d. Suppose 5*u - 26 = m*s, 0*u = -2*u - s. Factor z**2 - 7 + 3 + u*z + z**2.
2*(z - 1)*(z + 2)
Find m such that -100/3*m**2 - 1/6*m**5 + 25/3*m**4 - 34*m + 0 + 55/6*m**3 = 0.
-2, -1, 0, 2, 51
Let b(c) = -3*c**2 - 6 + 2 - 2*c + 9*c. Let n(v) = -16*v - 3 - v + 28*v - 3 - 5*v**2. Let t(p) = 8*b(p) - 5*n(p). Factor t(m).
(m - 1)*(m + 2)
Let b(i) be the first derivative of -i**4 + 172*i**3/3 - 80*i**2 - 336*i - 2151. Solve b(x) = 0 for x.
-1, 2, 42
Solve -7*k**2 - 720 + 11004*k - 11158*k + 3*k**2 + 2*k**2 = 0 for k.
-72, -5
Determine i, given that 20*i - 28 + 31 - 503 - 3*i**2 - 145*i - 2*i**2 = 0.
-20, -5
Factor 0 + 16/5*r + 8/5*r**2 - 7/5*r**3 + 1/5*r**4.
r*(r - 4)**2*(r + 1)/5
Let z(s) be the second derivative of 0 + 4840*s**3 + 223*s - 212960*s**2 + 1/4*s**5 - 55*s**4. Solve z(j) = 0 for j.
44
Let l = 785581/3535155 - -1/392795. Factor -20/9*i**2 + 56/9*i - 16/3 + l*i**3.
2*(i - 6)*(i - 2)**2/9
Let j be (-9 - (-10 - -4))*((-40)/15 - -1). Let d(c) be the second derivative of -16*c - 1/4*c**j - 15/2*c**3 - 5/2*c**4 - 10*c**2 + 0. Factor d(u).
-5*(u + 1)**2*(u + 4)
Let h be (0/8 - -17) + -2. Let n be 20/h - 150/153. Let 12/17*p**4 + n*p + 20/17*p**2 + 2/17*p**5 + 0 + 24/17*p**3 = 0. What is p?
-3, -1, 0
Let t(q) be the first derivative of 16 + 0*q**4 + 19/2*q**2 + 0*q + 0*q**3 - 1/120*q**6 - 1/150*q**5. Let m(v) be the second derivative of t(v). Factor m(w).
-w**2*(5*w + 2)/5
Let o(p) = 36*p**2 + 148*p + 1296. Let n(c) = 44*c**2 + 149*c + 1296. Let u(z) = 4*n(z) - 5*o(z). Solve u(y) = 0 for y.
-18
Find g such that 4982/17*g**2 - 1116/17*g**3 - 14/17*g**4 + 1008/17 - 4860/17*g = 0.
-84, 2/7, 1, 3
Let c(w) be the third derivative of w**7/105 + 37*w**6/300 + 47*w**5/75 + 23*w**4/15 + 8*w**3/5 - 468*w**2. What is b in c(b) = 0?
-3, -2, -2/5
Let l(r) be the third derivative of -5*r**6/96 + 73*r**5/6 - 581*r**4/24 + 58*r**3/3 + 387*r**2. Factor l(w).
-(w - 116)*(5*w - 2)**2/4
Let i(u) be the first derivative of -4*u**5/25 - 8*u**4 - 776*u**3/5 - 1456*u**2 - 33124*u/5 + 7035. Find s, given that i(s) = 0.
-13, -7
Factor 1/3*v**4 - 82*v + 45 + 88/3*v**2 + 22/3*v**3.
(v - 1)**2*(v + 9)*(v + 15)/3
Let n(m) be the first derivative of m**4/38 + 56*m**3/57 + 189*m**2/19 + 36*m + 10995. What is t in n(t) = 0?
-19, -6, -3
Let h(t) be the third derivative of 2*t**7/735 - 3*t**6/70 + 8*t**5/35 - 10*t**4/21 - 305*t**2. Solve h(d) = 0.
0, 2, 5
Factor 15/4*k - 9/8*k**2 + 3 + 3/8*k**4 - 3/2*k**3.
3*(k - 4)*(k - 2)*(k + 1)**2/8
Solve 4*i**4 - 55228*i**3 + 342000*i + 39700*i**2 + 0*i**4 + 55988*i**3 + 810000 = 0.
-90, -5
Let y = 389580 + -389578. Let -2/9*z - 2/9*z**5 + 0 - 4/3*z**3 + 8/9*z**4 + 8/9*z**y = 0. What is z?
0, 1
Let q be 6/(-2) - (1 - 1). Let p be 4 + (q + 0 - -5). Solve 8*k**3 + 9*k**2 + p*k + 4*k**3 - 18*k**3 = 0.
-1/2, 0, 2
Let t(f) = 43*f + 258. Let g be t(-6). Suppose g = -18*b - 1 + 1. Factor 20/3*u**3 + 4/3*u**5 + 8/3*u**2 + b + 16/3*u**4 + 0*u.
4*u**2*(u + 1)**2*(u + 2)/3
Let u(s) = -17*s**2 - 48*s - 103. Let w(y) = -15*y**2 - 240*y - 14*y**2 - 52*y**2 - 412 - 104. Let o(g) = -24*u(g) + 5*w(g). Factor o(l).
3*(l - 18)*(l + 2)
Let z(o) be the first derivative of -3/2*o**2 + 27/16*o**4 + 4*o**3 + 0*o + 159. Factor z(s).
3*s*(s + 2)*(9*s - 2)/4
Let w(d) = -d**2 + d + 1. Let v(p) = 3*p**2 - 17*p - 15. Suppose 69*j - 66*j - 3 = 0. Let b(u) = j*v(u) + 5*w(u). Factor b(a).
-2*(a + 1)*(a + 5)
Let r(i) = -107*i**3 - 2771*i**2 - 8316*i - 5540. Let h(y) = 20*y**3 + 554*y**2 + 1663*y + 1108. Let n(a) = 16*h(a) + 3*r(a). Factor n(g).
-(g - 554)*(g + 1)*(g + 2)
Suppose 9*v - 12 = -4*u + 7*v, 0 = u + 2*v. Let x(n) be the third derivative of -4*n**2 + 0*n - 1/420*n**5 + 0 + 0*n**3 + 0*n**u. Find l, given that x(l) = 0.
0
Let p(y) be the third derivative of -2/21*y**4 - 1/105*y**5 + 2 + 64/21*y**3 + 0*y + 110*y**2. Find x, given that p(x) = 0.
-8, 4
Let a be (-11)/((-121)/99) + 7/(-1). Let g(p) be the third derivative of -19*p**a - 19/132*p**4 - 2/11*p**3 + 0*p + 0 + 7/330*p**5. Factor g(r).
2*(r - 3)*(7*r + 2)/11
Let -651*g**2 - 1040 + 653*g**2 + 1787*g - 1535*g = 0. Calculate g.
-130, 4
Let w(o) = -2138*o + 6421. Let j be w(3). Let v(x) be the third derivative of 0*x + j*x**2 + 0*x**3 + 7/30*x**5 + 0 + 1/3*x**4. Let v(u) = 0. What is u?
-4/7, 0
Let h be 16/6*(-3)/2 - 200. Let q = -200 - h. Suppose 12/7*p - 6/7*p**5 + 9/7 - 54/7*p**3 - 33/7*p**q - 24/7*p**2 = 0. What is p?
-3, -1, 1/2
Let h be (-4)/(-3) + -2*1256/48. Let x(f) = f**2 + 58*f + 361. Let t be x(h). Factor -2/9*v**t - 2/9*v**3 + 0 + 2/9*v + 2/9*v**2.
-2*v*(v - 1)*(v + 1)**2/9
Factor 679/4*a + 1/8*a**2 + 0.
a*(a + 1358)/8
Let g be (2 - 29)*(1*5)/(-77*(-135)/(-594)). Solve 9*m**2 + g*m + 0 - 3/7*m**3 - 15/7*m**4 - 3/7*m**5 = 0 for m.
-3, -1, 0, 2
Suppose -f - 45 = -3*j, -4*j + 77*f + 52 = 73*f. Let n be 273/156 + (-2)/j*2. Factor -1/4*b**2 + n - 1/4*b.
-(b - 2)*(b + 3)/4
Suppose 212*s + 91*s**2 + 3*s**4 + 66*s**3 + 114*s**2 + 77*s + 98*s**2 - 49*s = 0. Calculate s.
-16, -5, -1, 0
Let c**2 + 53 - 45*c + 4*c**2 - 101 - 2*c**2 + 0*c = 0. What is c?
-1, 16
Let w(h) be the third derivative of h**8/2688 - 3*h**7/280 + 13*h**6/320 + 59*h**5/240 - 37*h**4/16 + 15*h**3/2 - 2845*h**2. Let w(q) = 0. What is q?
-3, 2, 15
Let l(z) be the first derivative of -1/3*z**3 - 7/30*z**4 + 27*z + 2/5*z**2 - 5. Let m(u) be the fi