 1, 57
Determine w, given that -14526902*w + 2*w**4 - 1100*w**2 + 546*w**3 + 14526902*w = 0.
-275, 0, 2
Let m = 134727 + -134722. Solve -1/4*l**2 + 0 - 1/4*l**m + 1/4*l**4 + 3/4*l**3 - 1/2*l = 0 for l.
-1, 0, 1, 2
Let -103/3*v**3 - 44/3*v**4 - 7/3*v**5 - 52/3*v - 8/3 - 110/3*v**2 = 0. Calculate v.
-2, -1, -2/7
Let b be (14 - 14) + 27 + -10. Let q(r) be the first derivative of -r**4 - b + 2*r**2 + 8/3*r**3 - 8*r. Suppose q(y) = 0. Calculate y.
-1, 1, 2
Suppose 6*h + 15 = 51. Suppose -13*j - 33 = -24*j. Factor -j*v**2 - h + 2*v**2 + 16*v - 3*v**2 - 6.
-4*(v - 3)*(v - 1)
Let u = -2443 - -26874/11. Let b(x) be the third derivative of 1/660*x**6 - 5/132*x**4 + 0*x - 1/330*x**5 + 0 - u*x**3 + 12*x**2. Solve b(c) = 0 for c.
-1, 3
Factor -2420*a**2 + 1690*a**3 - 2422*a**2 - 5*a**4 + 6547*a**2 - 3390*a.
-5*a*(a - 339)*(a - 1)*(a + 2)
Let c(q) be the second derivative of -7/18*q**3 + 0 + 1/36*q**4 + 0*q**2 + 22*q. Factor c(u).
u*(u - 7)/3
Let t = -1075 - -1077. Let b(x) be the first derivative of 5 + 1/2*x**t + 0*x - 1/15*x**3. Factor b(y).
-y*(y - 5)/5
Find l, given that 72908784120*l + 2355*l**4 + 4578671642736 + 3/2*l**5 + 1478940*l**3 + 464387160*l**2 = 0.
-314
Let o(g) be the second derivative of -g**7/350 - g**6/100 + 7*g**5/100 - g**4/10 - 13*g**2/2 - 60*g. Let b(n) be the first derivative of o(n). Factor b(u).
-3*u*(u - 1)**2*(u + 4)/5
Let g(t) be the second derivative of -t**5/120 - 97*t**4/72 - 191*t**3/36 - 95*t**2/12 - 681*t. Suppose g(r) = 0. Calculate r.
-95, -1
Let l = -3215 + 3263. Let -27*v + 3/2*v**2 + l = 0. Calculate v.
2, 16
Factor 92 + 2*u**3 + 18*u**2 + 48*u - 15 - 22 - 23.
2*(u + 1)*(u + 4)**2
Let d = 58 + -16. Let k be 10 - 15 - d/(-4) - 1. Let 3*j + 1/2 + k*j**2 = 0. What is j?
-1/3
Let u(h) = -h - 3. Let s be u(-6). Find k such that -43*k**2 - 140*k - 25*k**s - 90*k**2 - 40 + 23*k**2 = 0.
-2, -2/5
Let z be (-102)/((-6)/(-14) - (-300)/(-210)). Let q = -100 + z. Determine l so that 3/2 - 1/2*l**q + l = 0.
-1, 3
Let i(y) be the third derivative of 0 + y**2 + 0*y**4 - 1/15*y**5 + y + 1/315*y**7 + 1/180*y**6 + 0*y**3. Find w such that i(w) = 0.
-3, 0, 2
Solve 72 + 36*w**2 + 684*w**3 - 680*w**3 + 84 - 196*w = 0.
-13, 1, 3
Determine v so that 3991*v**5 + 3*v**4 + 3*v**4 - 3992*v**5 = 0.
0, 6
Suppose 0 = 4526*y - 4470*y. Find w, given that -7/4*w**3 + 17/4*w**2 - 1/2*w - 2*w**4 + y = 0.
-2, 0, 1/8, 1
Let o = 4 - 6. Let g be -6*o*(-2)/(-8). Factor 2*l**3 + 228 + 16*l**4 - 228 + 140*l**5 - 18*l**g.
4*l**3*(5*l + 2)*(7*l - 2)
Let c = -54534 - -272688/5. Factor 1/5 - 19/5*k**2 - c*k.
-(k + 1)*(19*k - 1)/5
Let x(q) = -26*q**4 + 136*q**3 - 267*q**2 + 9*q. Let g(a) = 6*a**4 - 34*a**3 + 66*a**2 - 2*a. Let m(l) = -18*g(l) - 4*x(l). Suppose m(h) = 0. What is h?
0, 2, 15
Let h = 984 + -980. Let k(t) be the first derivative of 26/9*t**3 - 7/9*t**h + 8/9*t - 9 - 8/3*t**2. Let k(q) = 0. What is q?
2/7, 1/2, 2
Suppose 165*y - 164*y = 5*v - 1, 2*v - 31 = -3*y. Factor 0*q - 4/9*q**v + 0 - 10/9*q**3 - 2/9*q**5 - 8/9*q**4.
-2*q**2*(q + 1)**2*(q + 2)/9
Find y such that -2/9*y**4 - 290/3*y**3 + 0 + 484000/9*y - 30800/3*y**2 = 0.
-220, 0, 5
Factor 27*b + 4*b**2 - 3*b**2 - 39267 + 182151 - 783*b.
(b - 378)**2
Let c(x) be the second derivative of 49*x**6/75 - 5572*x**5/25 + 315212*x**4/15 + 120992*x**3/5 + 51984*x**2/5 - 11859*x. Factor c(n).
2*(n - 114)**2*(7*n + 2)**2/5
Let f(n) = 50*n - 147. Let v be f(3). Let y = -1 + 3. Suppose -a**v + 9*a - 3*a**y + 6 - 3*a**3 - 5*a**3 - 3*a**4 = 0. Calculate a.
-2, -1, 1
Suppose 4144 + 271*n + 473*n**2 - 162*n**2 + 1793*n - 155*n**2 - 160*n**2 = 0. Calculate n.
-2, 518
Let u(m) be the third derivative of 0 - 1/14*m**4 + 0*m**3 + 1/420*m**6 - 1/42*m**5 + 0*m + 102*m**2. Find a such that u(a) = 0.
-1, 0, 6
Let z(q) = 7*q**5 + 25*q**4 + q**3 + 5*q**2 + 17*q. Let f(n) = 2*n**5 + 7*n**4 + n**2 + 5*n. Let h(k) = -22*f(k) + 6*z(k). Find p, given that h(p) = 0.
-2, 0, 1
Let b(j) be the third derivative of j**7/168 + j**6/24 - 3*j**5/8 - 45*j**4/8 + 38*j**3/3 - 100*j**2. Let y(h) be the first derivative of b(h). Factor y(d).
5*(d - 3)*(d + 3)**2
Let h(y) be the third derivative of -y**8/336 + y**7/105 - y**6/120 + 175*y**2 + 2. Suppose h(r) = 0. What is r?
0, 1
Suppose -1934 = -5*q - o, -19*o = q - 18*o - 386. Let x = -385 + q. Factor h**4 - 5/4*h**3 + 0 + 0*h + 1/2*h**x - 1/4*h**5.
-h**2*(h - 2)*(h - 1)**2/4
Let p(u) be the second derivative of u**6/50 - 33*u**5/100 + 8*u**4/5 - 2*u**3/5 - 72*u**2/5 + 732*u. Let p(r) = 0. Calculate r.
-1, 2, 4, 6
Let q(g) = g**2 - 297*g + 15893. Let p be q(70). Let 8/19*f**p - 2/19*f**5 - 6/19*f**4 + 0*f - 32/19 + 32/19*f**2 = 0. Calculate f.
-2, 1, 2
Suppose -9*o + 1904 = 1724. Find z, given that -3*z - 7 + 7*z - 16*z**2 - 1 + o*z**2 = 0.
-2, 1
Let m(o) be the first derivative of -3*o**4/16 - 4*o**3 + 105*o**2/8 - 27*o/2 - 1703. Factor m(b).
-3*(b - 1)**2*(b + 18)/4
Let q(i) be the second derivative of -i**6/150 - 13*i**5/50 + i**4/15 + 52*i**3/15 - 376*i. Determine j, given that q(j) = 0.
-26, -2, 0, 2
Let y(v) = v**2 + 144*v + 3338. Let s be y(-115). Let x(n) be the first derivative of -s - 2/15*n**3 + 0*n + 1/20*n**4 - 3/10*n**2. Factor x(l).
l*(l - 3)*(l + 1)/5
Let f(w) = 3*w**3 - 5*w**2 - 15*w - 9. Suppose 4*l = -u - 6, 5*l = 2*u - 0*l - 1. Let k(t) = -t**3 + t + 1. Let j(x) = u*k(x) - f(x). Factor j(g).
-(g - 7)*(g + 1)**2
Suppose -3*v = o + 57, 3*v + 22 + 44 = 2*o. Let i be v/(3 - -1) + 27. Factor 22 - 4*x**5 + i + 8*x**2 - 44*x - 68 + 48*x**3 + 16*x**4.
-4*(x - 6)*(x - 1)*(x + 1)**3
Suppose 543 - 575 = -16*t. Let z(f) be the second derivative of 0*f**3 - 1/48*f**4 + 1/2*f**2 + t*f + 0. Suppose z(x) = 0. What is x?
-2, 2
Let m be (-2 - 5)*(-2616)/3220 + 30/(-345). Factor 33*z**2 + 90*z + 1/5*z**4 + 0 - m*z**3.
z*(z - 15)**2*(z + 2)/5
Let c = 1602842 - 1602839. Factor 0 + 0*u + 0*u**2 + 6/5*u**5 + 8/5*u**4 + 2/5*u**c.
2*u**3*(u + 1)*(3*u + 1)/5
Let v be (6/5 - 2) + 260/(-50) + 9. Let a(z) be the second derivative of 0 + 21*z - 1/12*z**v + 3/2*z**2 - 1/24*z**4. Determine k so that a(k) = 0.
-3, 2
Let l = 22 + -46. Let i be 2/(-3)*(-3 - l/(-4)). Factor i*t + 34*t**2 + 0*t + 9 - 37*t**2.
-3*(t - 3)*(t + 1)
Factor 1/3*w**4 + 20*w**2 + 80/3 - 13/3*w**3 - 116/3*w.
(w - 5)*(w - 4)*(w - 2)**2/3
Find v, given that -2/5*v**3 + 12*v**2 - 90*v + 0 = 0.
0, 15
Let v be (-22)/(-99) + (-11668)/18. Let o = v + 1305/2. Factor 5*p**3 - 3/2*p**4 + p + 0 - o*p**2.
-p*(p - 2)*(p - 1)*(3*p - 1)/2
Let y = 195/4 - 48. Suppose 0 = -25*h + 5*h + 40. Solve y*t**h + 3/2*t + 3/4 = 0 for t.
-1
Let m = -1167209 - -1167211. Determine r, given that -486 - 1/6*r**m - 18*r = 0.
-54
What is v in 20 + 4/3*v**2 + 64/3*v = 0?
-15, -1
Let o(w) be the first derivative of 5*w**8/672 - w**7/42 + w**5/12 - 5*w**4/48 + 26*w**2 + 37. Let y(d) be the second derivative of o(d). What is m in y(m) = 0?
-1, 0, 1
Let l(i) = 36*i - 36. Let t be l(1). Suppose -66 = -t*y - 33*y. Factor 13/2*u**y - 1/6*u**3 - 169/2*u + 2197/6.
-(u - 13)**3/6
Let -3*j**5 + 51*j**3 - 756*j - 1524*j**4 - 298*j**2 + 1548*j**4 + 197*j**2 - 295*j**2 = 0. What is j?
-3, -2, 0, 6, 7
Let u(m) be the third derivative of m**8/10080 + m**7/180 + 49*m**6/360 + 49*m**5/60 + 6*m**2 - 2. Let v(p) be the third derivative of u(p). Factor v(r).
2*(r + 7)**2
Let y(k) be the third derivative of k**6/120 + 23*k**5/30 + 11*k**4/3 + 5263*k**2. Suppose y(n) = 0. What is n?
-44, -2, 0
Let w(a) be the third derivative of -232*a**2 + 2116/3*a**3 + 0 + 23/3*a**4 + 0*a + 1/30*a**5. Determine i so that w(i) = 0.
-46
Let d(h) be the second derivative of h**5/10 + 11*h**4/6 - 185*h**3/3 + 525*h**2 + 561*h + 1. Factor d(m).
2*(m - 5)**2*(m + 21)
Let w(d) be the second derivative of d**6/420 + 4*d**5/35 - 9*d**4/7 + d**3/3 - 19*d**2 - 4*d + 5. Let m(l) be the second derivative of w(l). Factor m(s).
6*(s - 2)*(s + 18)/7
Let r = -216 - -176. Let d be 12*(-2 + (3 - (-36)/r)). Factor -d - 8/5*k - 2/5*k**2.
-2*(k + 1)*(k + 3)/5
Let l(z) be the first derivative of 1/2*z**3 - 21/8*z**2 + 3/2*z**4 + 129 - 1/8*z**6 - 3*z + 3/10*z**5. Solve l(q) = 0 for q.
-1, 1, 4
Let g(h) = 21*h**3 + 12*h**2 - 21*h + 6. Suppose -3 = 12*c - 27. Let y(x) = -5*x**3 - 3*x**2 + 5*x - 1. Let q(b) = c*g(b) + 9*y(b). Factor q(d).
-3*(d - 1)*(d + 1)**2
Factor -125*t**5 + 31169*t**4 - 31259*t**4 - 480*t**3 - 640*t**2 + 12