 - 1)*(u + 8)
Let q be ((-2156)/264 - (-30)/5)/(260/(-40)). Let 1/12*j**4 - q*j**3 - 19/6*j**2 - 5*j - 9/4 = 0. What is j?
-3, -1, 9
Suppose -1157*c**2 - 1008*c**3 + 192*c**4 - 1170*c - 383931 + 383742 - 1024*c**2 = 0. What is c?
-1, -3/8, 7
Let x be -1*(-1)/14*(-140)/(-140). Let z(q) be the third derivative of -5/3*q**3 + 25/24*q**4 + 0 - 5/24*q**6 + 0*q - 1/12*q**5 + x*q**7 - 35*q**2. Factor z(s).
5*(s - 1)**2*(s + 1)*(3*s - 2)
Let -19*a**4 + 38*a**3 + 3*a**4 + 7*a**4 - 90*a**2 + 4*a**4 + 27*a**3 - 800*a - 640 = 0. What is a?
-2, -1, 8
Let x be -6*(6/(-5))/((-12)/(-30)). Let c be x/99 - (-74)/198. Factor 1/3 + c*m**2 - 7/9*m - 1/9*m**3.
-(m - 3)*(m - 1)**2/9
Let k = 84011/5 + -16802. Let m(q) be the second derivative of -14*q**2 - 5/3*q**4 + 26/3*q**3 - 51*q - k*q**5 + 0. Factor m(w).
-4*(w - 1)**2*(w + 7)
Let p(v) be the first derivative of -v**4/42 + 4*v**3/21 - 80*v + 47. Let x(r) be the first derivative of p(r). Determine g so that x(g) = 0.
0, 4
Let y(q) be the second derivative of -q**7/231 - 236*q**6/55 - 1413*q**5/110 - 353*q**4/33 - 31*q + 15. Find m such that y(m) = 0.
-706, -1, 0
Let u be (20787/(-5330))/(-2 - 4/(-20)) - 10/6. Factor -5/2*k + 1 - u*k**3 + 2*k**2.
-(k - 2)*(k - 1)**2/2
Let g(j) be the first derivative of 3*j**5/40 - 3*j**4/8 + j**3/2 + 194*j + 203. Let s(x) be the first derivative of g(x). Solve s(a) = 0 for a.
0, 1, 2
Suppose 0 = 4*y - z + 72, y + 15 = 3*z - 14. Let k be -5 + 7 + 32/y. Factor 0*o - k*o**2 + 2/17.
-2*(o - 1)*(o + 1)/17
Suppose -609*g**2 - 4 + 34*g**4 + 285*g**3 - 1156*g - 587*g**2 + g**5 + 1060*g**2 + 4 = 0. What is g?
-17, -2, 0, 2
Suppose 0 = 3*m + 3*l - 24, -24093*m - 12 = -24090*m - 3*l. Let 8*g - 22/3*g**m - 2/9*g**4 + 20/9*g**3 + 0 = 0. What is g?
0, 3, 4
Let r(o) be the first derivative of o**4/66 + 20*o**3/33 - 21*o**2/11 - 256*o + 220. Let q(b) be the first derivative of r(b). Factor q(a).
2*(a - 1)*(a + 21)/11
Let n(u) be the second derivative of 13*u - 3/7*u**2 - 2/21*u**3 + 1/42*u**4 + 0. Let n(h) = 0. What is h?
-1, 3
Let w(l) = l**2. Let h(x) = -15 + 7*x**2 - 2*x**2 + 9 - 7*x. Let i(z) = -z + 16. Let p be i(-14). Let t(n) = p*w(n) - 5*h(n). Factor t(a).
5*(a + 1)*(a + 6)
Let d(f) be the third derivative of -f**7/1785 - 9*f**6/170 - 53*f**5/510 - 329*f**2 - f. Suppose d(y) = 0. What is y?
-53, -1, 0
Let i(x) be the second derivative of x**5/5 + 406*x**4/3 - 8270*x**3/3 + 20800*x**2 - 8681*x. Determine r, given that i(r) = 0.
-416, 5
Suppose j + u - 3*u + 4 = 0, -3*u - 1 = -5*j. Let n(m) = -2*m - 8. Let p be n(-5). Factor 5 + r**j - 8 + p*r**2 + 0*r**2.
3*(r - 1)*(r + 1)
Factor 14*q + 63*q + 19*q**3 - 30*q**2 + 19*q**3 + 6*q**4 - 5*q - 106*q**2.
2*q*(q - 2)*(q + 9)*(3*q - 2)
Let g(t) = -t**3 + 13*t**2 - 14*t + 27. Let q(o) = -o + 5. Let z be q(-7). Let m be g(z). Let -9*y - 2*y**4 - y**2 + m*y**2 + 9*y = 0. What is y?
-1, 0, 1
Let 109/9*i**2 - 36*i + 34/9*i**3 + 20 + 1/9*i**4 = 0. What is i?
-30, -6, 1
Factor -1220/3*b + 0 - 406*b**3 - 1/3*b**4 + 813*b**2.
-b*(b - 1)**2*(b + 1220)/3
Determine q, given that -80/7 - 38/7*q + 1/7*q**2 = 0.
-2, 40
Factor -34/19*w - 18/19 + 2/19*w**3 - 14/19*w**2.
2*(w - 9)*(w + 1)**2/19
Let r = 5/31901 + 53561479/1914060. Let x = -416/15 + r. Factor -x*d**4 - 9/2 + 9/4*d**3 + 39/4*d - 29/4*d**2.
-(d - 3)**2*(d - 2)*(d - 1)/4
Let p(d) = -3*d**2 - d + 2. Let r(w) = -17*w**2 - 9*w + 2. Let j(a) = -6*p(a) + r(a). Factor j(t).
(t - 5)*(t + 2)
Let v(x) = 7*x**2 + 7*x + 4. Suppose 0 = -f + 5*d - 4, -2*f - 4*d + 21 = -13. Let r(s) = 36*s**2 + 35*s + 21. Let q(o) = f*v(o) - 2*r(o). Factor q(b).
(b + 1)*(5*b + 2)
Let k(q) = -45*q**2 - 7*q + 71. Let v be k(-6). Let f = -1503 - v. Factor -20/3*o**3 - 4/3*o**f - 4*o + 0 - 28/3*o**2.
-4*o*(o + 1)**2*(o + 3)/3
Let h(j) be the third derivative of -5*j**2 - 1/180*j**6 + 1/36*j**4 + 0 + 0*j**3 + 1/180*j**5 - 1/630*j**7 - j. Let h(d) = 0. What is d?
-2, -1, 0, 1
Factor -5685*m + 4*m**2 + 744*m**2 + 5925*m + 12*m**3 - 423 - 73.
4*(m + 1)*(m + 62)*(3*m - 2)
Find q, given that 303/5 - 1/5*q**3 - 607/5*q + 61*q**2 = 0.
1, 303
Let o(z) = -6*z**3 - 114*z**2 - 1024*z + 2. Let j(m) = -3*m**3 - 3*m**2 + 2*m + 2. Let s(g) = j(g) - o(g). Suppose s(d) = 0. Calculate d.
-19, -18, 0
Let k(m) be the first derivative of -26 + 7/24*m**4 + 0*m**3 - 5/2*m**2 + 1/60*m**5 + 0*m. Let o(a) be the second derivative of k(a). Solve o(z) = 0.
-7, 0
Let v be (-4 - ((-924)/110 + 5))*(-4)/1. Factor v - 1/5*j**2 - 11/5*j.
-(j - 1)*(j + 12)/5
Let z(q) = -4*q**3 + 52*q**2 + 20*q - 52. Let b(h) = h**3 - 17*h**2 - 7*h + 17. Let k be ((-112)/(-21))/((-8)/12). Let m(w) = k*b(w) - 3*z(w). Factor m(c).
4*(c - 5)*(c - 1)*(c + 1)
Suppose -13 - 7/6*b**4 - 121/6*b**3 - 383/6*b - 419/6*b**2 = 0. Calculate b.
-13, -3, -1, -2/7
Factor -3*w**4 + 78*w**3 + 8*w**4 + 47*w**3 + 1499*w**2 - 207*w**2 + 1360 - 512*w**2 + 1780*w.
5*(w + 2)**2*(w + 4)*(w + 17)
Let v(l) be the first derivative of -l**6/4 - 309*l**5/10 - 3741*l**4/4 + 4055*l**3 - 24963*l**2/4 + 8427*l/2 + 432. Suppose v(f) = 0. Calculate f.
-53, 1
Let r(l) be the third derivative of l**6/72 - 121*l**5/12 + 1205*l**4/24 - 1805*l**3/18 + 2*l**2 - 885*l. Factor r(d).
5*(d - 361)*(d - 1)**2/3
Solve -82/3*r + 2/3*r**2 - 28 = 0 for r.
-1, 42
Suppose -136*c - 1710 = -1056*c + 130. Factor -2/5*r**c - 12/5*r - 16/5.
-2*(r + 2)*(r + 4)/5
Solve 3*k**4 - 1327*k + 553*k - 1340*k - 1066*k - 1818*k**2 + 5175 - 180*k**3 = 0 for k.
-5, 1, 69
Let c be 18/(-21) - 18/(-21). Suppose -42*q + 48*q = c. Find p, given that q*p**2 + 3/2*p - 9/2*p**3 - 3*p**4 + 0 = 0.
-1, 0, 1/2
Let p(z) = 66*z - 205*z + 288 + 65*z + 52*z. Let q be p(13). Solve -4/7 - 2/7*w + 2/7*w**q = 0 for w.
-1, 2
Let k = 53 - 15. Find b, given that 5*b**2 + 26*b + 27 - 25 + 4*b + k = 0.
-4, -2
Let p(w) be the first derivative of -w**4/24 + w**3/6 - w**2/4 - 170*w + 58. Let r(d) be the first derivative of p(d). Factor r(u).
-(u - 1)**2/2
Suppose -5*n + 16 = -m, 2*m - n - 2*n = 3. Factor -4 - 15*j + 0*j - j + 33*j**3 - 5*j - 17*j**2 + m*j**4.
(j - 1)*(j + 4)*(3*j + 1)**2
Suppose -1470000*x - 446/9*x**4 + 1/9*x**5 + 65704/9*x**3 - 1500000 - 345200*x**2 = 0. Calculate x.
-2, 150
Let z(i) be the first derivative of -2*i**7/315 + i**6/45 + 23*i**2/2 + 31. Let w(r) be the second derivative of z(r). Factor w(b).
-4*b**3*(b - 2)/3
Factor 48/7 + 4/7*f**4 + 16/7*f + 0*f**3 - 36/7*f**2.
4*(f - 2)**2*(f + 1)*(f + 3)/7
Suppose -638 - 343 = -4*m + 3*d, -2*m + d + 493 = 0. Suppose 18*o + 159 = m. Let 0*g**4 + 0 + o*g**3 + 0*g + 0*g**2 - 5/4*g**5 = 0. What is g?
-2, 0, 2
Suppose -855099*g + 855134*g - 70 = 0. Factor -32 - 22/3*x**g - 80/3*x - 2/3*x**3.
-2*(x + 3)*(x + 4)**2/3
Let f(c) be the first derivative of -2/3*c - 28 + 7/18*c**2 + 5/27*c**3. Factor f(m).
(m + 2)*(5*m - 3)/9
Let r(q) = -2*q**2 - 9*q - 25. Let h = -64 + 63. Let i be ((-15)/12)/(h/4). Let w(g) = g**2 + 9*g + 26. Let y(u) = i*w(u) + 4*r(u). Suppose y(k) = 0. What is k?
-2, 5
Find q, given that -2/3*q**2 + 652/3*q - 53138/3 = 0.
163
Let y(r) be the second derivative of -r**4/36 - 55*r**3/9 + 113*r**2/2 - 9*r + 23. Factor y(l).
-(l - 3)*(l + 113)/3
Let w(q) = -13*q**2 + 1140*q + 156805. Let i(x) = 16*x**2 - 1144*x - 156806. Let s(v) = -5*i(v) - 6*w(v). Factor s(y).
-2*(y + 280)**2
Factor 396*y**3 + 2*y**4 + 1438 + 192*y**2 + 5*y**4 + y**4 - 196*y - 1438.
4*y*(y + 1)*(y + 49)*(2*y - 1)
Let m(s) = 5*s**2 - 2*s. Let v(z) = 291*z**3 - 18*z**2 + 6*z. Let x(r) = 3*m(r) + v(r). Determine t so that x(t) = 0.
0, 1/97
Let r be (369/(-63) - -6)*3162/285. Let h = r - -2/133. Let 1/5*n**5 - 4/5*n - h*n**2 + 0 + 2/5*n**4 - 3/5*n**3 = 0. What is n?
-2, -1, 0, 2
Let h be (-1 + (-3 - 0))/(7/7). Let m be h/(-10) + (-91)/(-35). Factor 5*l**4 + 2*l**5 + 7*l**3 + l**4 + 2*l**2 - l**m.
2*l**2*(l + 1)**3
Let k(q) be the first derivative of -15*q**4/32 - 3*q**3/8 + 135*q**2/16 + 81*q/8 - 4769. Factor k(s).
-3*(s - 3)*(s + 3)*(5*s + 3)/8
Let x(d) = 22*d**4 - 34*d**3 - 164*d**2 + 54*d + 298. Let o(k) = -2*k**4 + 3*k**3 + 15*k**2 - 5*k - 27. Let j(c) = 68*o(c) + 6*x(c). Solve j(w) = 0 for w.
-3, -1, 2
What is b in -15*b**2 + 180 + 52*b**2 - 11*b**2 - 15*b**2 - 16*b**2 = 0?
-6, 6
Let s be 9/(-10 + 1)*12. Let p(h) = -10*h**2 - 44*h + 30. Let b(y) = 2*y**2 + 2*y. Let f(u) = s*b(u) - 2*p(u). Solve f(z) = 0 for z.
1, 15
Let j = -217 - -247. Suppos