?
-2, -1/2
Let m(q) = 4*q**4 + 148*q**3 - 2538*q**2 - 14718*q + 38384. Let t(f) = -3*f**4 + 2*f**3 + f**2 - f + 8. Let j(y) = m(y) + 2*t(y). Factor j(h).
-2*(h - 40)**2*(h - 2)*(h + 6)
Suppose -14 = 5*u - 29. Find k, given that 15 + 16*k**u - 14*k**2 + 3543*k - 3559*k + k**4 - 2*k**4 = 0.
-1, 1, 15
Let t(c) be the second derivative of c**7/42 + 7*c**6/6 + 31*c**5/20 - 107*c**4/12 - 86*c**3/3 - 34*c**2 - 4103*c. Factor t(g).
(g - 2)*(g + 1)**3*(g + 34)
Suppose 5*n + 5*j = 47225, -3698 = -5*n - j + 43507. Factor -900*g**3 - 620*g**3 - n*g + 8527*g**2 + 7744 - 2*g**5 - 2880*g + 100*g**4 - 1647*g**2.
-2*(g - 22)**2*(g - 2)**3
Find g, given that 91/4*g - 1/4*g**3 + 3*g**2 - 51/2 = 0.
-6, 1, 17
Let c = 1108699/7 + -158369. Factor -2/7*b**2 - 1682/7 - c*b.
-2*(b + 29)**2/7
Let x(f) be the third derivative of -529/2*f**4 - 24334/3*f**3 + 0 + 8*f + 2*f**2 - 1/30*f**6 - 23/5*f**5. Determine a, given that x(a) = 0.
-23
Let g(u) = -10*u**2 + 7*u + 48. Suppose 120 = q + 117. Let f(n) = -92*n**2 + 64*n + 432. Let c(j) = q*f(j) - 28*g(j). Suppose c(v) = 0. What is v?
-3, 4
Suppose 4*l = 3*y + 8, -90*y + 94*y = 3*l - 6. Factor -1/3 + 1/3*i + 1/3*i**5 - 2/3*i**3 - 1/3*i**4 + 2/3*i**l.
(i - 1)**3*(i + 1)**2/3
Suppose -y + 16 + 9 = 5*v, -y - 4*v + 23 = 0. Suppose y = c + 10. Determine w, given that 9*w + c*w + 14*w - 6*w**2 - 16 = 0.
2/3, 4
Let i = -249 + 246. Let m(h) = -4*h**5 + 36*h**4 - 108*h**3 + 108*h**2 + 3. Let l(x) = -1. Let k(v) = i*l(v) - m(v). Solve k(t) = 0 for t.
0, 3
Let y(u) be the third derivative of u**5/5 - 3*u**4/32 - 28*u**2 - 66*u + 2. Factor y(l).
3*l*(16*l - 3)/4
Let n(p) = 101*p**2 - 180*p - 9. Let g(j) = 51*j**2 - 89*j - 5. Let x(w) = 10*g(w) - 6*n(w). Factor x(d).
-2*(d - 2)*(48*d + 1)
Let c be 8/2 - (285/380 + (-9)/12). Let r(z) be the first derivative of -z**3 - 11 - 1/8*z**c - 3*z**2 - 4*z. Solve r(n) = 0.
-2
Let a(u) be the second derivative of -u**4/114 + 191*u**3/57 + 2*u - 29. Factor a(f).
-2*f*(f - 191)/19
Suppose -11*v + 262 = 141. Suppose 2*z + z = v*z. Factor -5/4*j + z - 15/4*j**2.
-5*j*(3*j + 1)/4
Let p(g) be the first derivative of -7*g**5 - 72*g**4 - 103*g**3 - 28*g**2 - 11456. Let p(y) = 0. What is y?
-7, -1, -8/35, 0
Let f be (-9)/(-3213)*76 + (-16)/136. Let o(c) be the first derivative of -14*c + 1 + 2*c**2 - f*c**3. Factor o(l).
-2*(l - 7)**2/7
Let q(r) = -39*r**3 - 52*r**2 + 39*r + 7. Let a(i) = 10*i**3 + 12*i**2 - 10*i - 2. Let m(b) = -9*a(b) - 2*q(b). Factor m(t).
-4*(t - 1)*(t + 1)*(3*t + 1)
Suppose -4*u + 7*u + 3*g - 261 = 0, 0 = u - 5*g - 87. Determine h so that 4*h**4 + 30*h**2 + 102*h**3 - u*h**3 + 9*h - 9*h**2 - h**4 = 0.
-3, -1, 0
Let a(y) = 730*y - 164978. Let k be a(226). Let 144/5 - 6/5*i - 3/5*i**k = 0. What is i?
-8, 6
Suppose -37 = -17*s + 14. Suppose 1 + 265*f - 1 - 264*f - 4*f**2 - 4*f**4 + 6*f**s + f**5 = 0. Calculate f.
0, 1
Let d(b) be the second derivative of b**5/5 + 113*b**4 + 25538*b**3 + 2885794*b**2 + 597*b - 3. Solve d(l) = 0.
-113
Let h(v) be the third derivative of v**7/70 + 333*v**6/200 + 1673*v**5/50 + 2127*v**4/10 - 396*v**3 + v**2 - 3801*v. Suppose h(t) = 0. Calculate t.
-55, -6, 2/5
Let k be ((-1)/2)/(33/(-594)). Let -3*y**4 - 48*y**3 + 147*y + 0*y**4 + k*y**3 + 105*y**2 + 6*y**4 = 0. Calculate y.
-1, 0, 7
Let q be ((-15)/18 + (-1)/(-2))*-15. Let s(n) = -n**2 - 2*n. Let w(r) = -7*r**2 - 4*r + 36. Let l(x) = q*s(x) - w(x). Factor l(t).
2*(t - 6)*(t + 3)
Let m(x) be the first derivative of -x**5/70 + x**4/14 - 4*x**2/7 - 102*x + 42. Let t(w) be the first derivative of m(w). Solve t(f) = 0 for f.
-1, 2
Let r(d) be the second derivative of -1/84*d**4 + 0*d**2 + 1/6*d**3 + 4*d + 3. Let r(v) = 0. Calculate v.
0, 7
Let a = -160 + 196. Factor -3*k**2 - a + 39 + 3*k - 4*k + 2*k - k**3.
-(k - 1)*(k + 1)*(k + 3)
Let o(m) = -m**3 + 10*m**2 - 8*m + 7. Let f be o(9). Suppose -480 = -f*q + 10*q. Factor -1 + q*i**2 - 75*i**2 + 5*i**3 + 1.
5*i**2*(i + 1)
Let f(w) = 5*w**4 + 8*w**3 - 6*w**2 + 24*w. Let v(o) = 4*o**4 + 7*o**3 - o**2 + 20*o. Let g(h) = -5*f(h) + 6*v(h). Let g(b) = 0. What is b?
-4, 0, 6
Let v(p) be the first derivative of -23/10*p**4 + 0*p**2 + 2/25*p**5 + 0*p**3 + 19 + 0*p. Factor v(i).
2*i**3*(i - 23)/5
Factor -13*p + 1/2*p**2 + 25/2.
(p - 25)*(p - 1)/2
Let y(s) be the first derivative of -61 + 18*s**2 - 1/2*s**3 - 216*s. Determine x so that y(x) = 0.
12
Suppose -265454*i = -265194*i - 1040. Factor -1/3*a**2 + i + 1/3*a.
-(a - 4)*(a + 3)/3
Let l be (-22)/(-30) + (-3 - (-108)/30). Let d = -7324/39 + 2450/13. Factor -d*i + l*i**2 + 0.
2*i*(2*i - 1)/3
Let l(k) = -119*k**2 - 14043*k - 116. Let a be l(-118). Determine f, given that -8/13*f**3 + 38/13*f**a + 12/13 + 58/13*f = 0.
-1, -1/4, 6
Let i(l) be the second derivative of 0 + 0*l**3 + 1/4*l**4 + 40*l + 1/20*l**5 - 2*l**2. Factor i(m).
(m - 1)*(m + 2)**2
Factor 14400*v**2 + 291*v**4 + 5520*v**3 - 52*v**4 - 93*v**5 - 16*v**5 + 112*v**5 + 10*v**4.
3*v**2*(v + 3)*(v + 40)**2
Factor -42407*x - 56360*x - 290304 - 24*x**3 - 4320*x**2 + 33103*x + 4*x**4.
4*(x - 42)*(x + 12)**3
Solve 2198*f - 1005 + 199*f**2 + 195*f**2 + 814*f - 385*f**2 = 0.
-335, 1/3
Let p = 302/1125 + 598/1125. Determine s, given that 0*s + 0 + 56/5*s**2 + p*s**3 = 0.
-14, 0
Suppose 2*r = 118 + 1252. Suppose 0 = -5*z + r + 325. Factor 4 + 198*p**2 - 4 + 16 - z*p**2.
-4*(p - 2)*(p + 2)
Let h = 27 + -25. Let q = -3905/3 + 1302. What is p in -2/3*p**h + 0*p**3 + 0*p + q*p**4 + 1/3 = 0?
-1, 1
Let p be (10/4 + 2/(-4))/(-1). Let z be (15 - 15) + p + 7. Factor -3 - 8*f**2 - 7 + z*f + 13*f**2.
5*(f - 1)*(f + 2)
Find s such that -40301*s**2 - 2*s + 153 + 40304*s**2 - 58*s = 0.
3, 17
Let -2/9*h**2 + 12 - 50/9*h = 0. Calculate h.
-27, 2
Suppose -1089*l**4 + 2264313*l**2 - 8376145 - 1585173 - 15811200*l + 4155325 - 7839273*l**2 - 3*l**5 - 4562007 - 132846*l**3 = 0. Calculate l.
-120, -2, -1
Let w(s) be the second derivative of -s**4/114 - 436*s**3/57 - 47524*s**2/19 - 24*s + 12. Factor w(k).
-2*(k + 218)**2/19
Let o = -85766 + 85769. Factor 18/13*h**o + 4/13*h**2 - 72/13*h - 16/13.
2*(h - 2)*(h + 2)*(9*h + 2)/13
Let f(l) be the first derivative of 5*l**4/4 + 100*l**3/9 + 30*l**2 + 80*l/3 - 479. Factor f(n).
5*(n + 2)*(n + 4)*(3*n + 2)/3
Let i(a) be the third derivative of -1/840*a**8 + 3 + 9/10*a**4 - 16/15*a**3 - 13/30*a**5 + 47*a**2 + 31/300*a**6 - 1/175*a**7 + 0*a. Let i(j) = 0. Calculate j.
-8, 1, 2
Let x be (161/(-35) - -5)*5. Let u be (2 - (-6)/(-6)) + x. Factor 3/2*c + 1/6*c**5 + 8/3*c**2 + 1/3 + c**4 + 7/3*c**u.
(c + 1)**4*(c + 2)/6
Factor -13376/3*j - 316/3*j**2 - 2/3*j**3 - 23104.
-2*(j + 6)*(j + 76)**2/3
Factor -880 - 1048*r**2 + 1716*r - 13*r**3 - 5*r**3 + 232 + 0*r**3 - 2*r**3.
-4*(r - 1)*(r + 54)*(5*r - 3)
Let m = 4526 - 4524. Let a(n) be the first derivative of 3/2*n**m + 15 - 3/20*n**5 + n + 11/12*n**3 + 1/16*n**4 - 1/24*n**6. Determine r so that a(r) = 0.
-2, -1, 2
Let c(w) = -w**2 + 7*w + 13. Let o be c(8). Suppose -2*g = 5*i + 3*g - 10, i - o*g - 2 = 0. Factor 2/5*s**3 - 3/5*s - 3/5*s**4 + 1/5 + 2/5*s**i + 1/5*s**5.
(s - 1)**4*(s + 1)/5
Let u = 4438529/4 + -1109632. Factor u*b**2 - 9/4 - 2*b.
(b - 9)*(b + 1)/4
Let r(j) be the second derivative of 0*j**2 + 19*j - 8/15*j**4 + 16/75*j**6 - 1/105*j**7 - 17/15*j**3 + 6 + 9/25*j**5. Solve r(l) = 0.
-1, 0, 1, 17
Let k(y) = -7*y**3 - 5*y**2 + 30*y + 2. Let t(j) = j**3 - 1. Let b(i) = i**2 - 4*i + 6. Let c be b(2). Let x(d) = c*t(d) + k(d). Solve x(f) = 0 for f.
-3, 0, 2
Let p(s) = 5*s**3 + 5*s**2 - 45*s + 5. Let j(k) = 5*k**3 + 4*k**2 - 45*k + 4. Let h = 122 - 127. Let x(g) = h*j(g) + 4*p(g). Factor x(v).
-5*v*(v - 3)*(v + 3)
Factor 20*r**3 - 297 - 16*r**4 + 36*r**2 + 143 - 12*r**2 + 154.
-4*r**2*(r - 2)*(4*r + 3)
Let q be ((-432)/2808 - (-206)/(-13)) + 19. Factor 2/3*v**q + 26*v**2 + 338*v + 4394/3.
2*(v + 13)**3/3
Let p(y) = -6*y**2 - 145*y - 134. Let m(f) = 363*f + 131 + 12*f**2 + 10*f**2 + 205 - f**2 - 6*f**2. Let h(j) = -5*m(j) - 12*p(j). Factor h(q).
-3*(q + 1)*(q + 24)
Let u(p) be the third derivative of 0*p + 1/3*p**6 - 4/3*p**4 - 1/6*p**5 + 0 - 1/42*p**8 + 4/3*p**3 + 54*p**2 + 1/105*p**7. Determine z, given that u(z) = 0.
-2, -1, 1/4, 1, 2
Suppose 100 = -7*z + 51. Let b be (-12)/z - (-5)/(-35)*-2. Factor 2/3*j + 1/3 + 1/3*j**b.
(j + 1)**2/3
Suppose -x = -0*x, -5*x + 15 = 3*p. Find z such that -3*z**3 - 466 - 18