 Factor 5/4*x**i + 0 + 15/4*x**2 - 5*x.
5*x*(x - 1)*(x + 4)/4
Let w(m) be the second derivative of 0 + 2*m + 1/12*m**5 + 25/12*m**4 + 125/6*m**3 + 15/2*m**2. Let z(u) be the first derivative of w(u). Solve z(h) = 0 for h.
-5
Factor 2*g**3 - 87*g - 127*g - 4*g**3 - 94*g**2 + 122*g.
-2*g*(g + 1)*(g + 46)
Let w(i) = -4*i**5 + 8*i**3 - 8*i**2 - 4. Let c = 146 - 142. Let j(u) = -8*u**5 + 15*u**3 - 16*u**2 - 9. Let g(y) = c*j(y) - 9*w(y). Factor g(l).
4*l**2*(l - 1)**2*(l + 2)
Let n(q) be the first derivative of 5*q**3/9 + 15*q**2 + 135*q + 542. Suppose n(a) = 0. What is a?
-9
Let l(g) = -2 + 7*g**5 + g**5 + 1 + g**3 + g**2 - 9*g**5 + g. Let w(x) = -5*x**4 + 6*x**2 + x - 1. Let k(a) = 5*l(a) - 5*w(a). Solve k(r) = 0 for r.
-1, 0, 1, 5
Let -18/5*r**2 + 3/5*r**3 + 36/5 + 3*r = 0. Calculate r.
-1, 3, 4
Let z(c) be the first derivative of -25*c**3/3 - 1515*c**2/2 + 610*c - 1620. Determine m so that z(m) = 0.
-61, 2/5
Factor 316*n**3 + 142*n - 440 - 317*n**3 + 65*n**2 - 24*n**2.
-(n - 44)*(n - 2)*(n + 5)
Let w(x) = x**3 - 3*x**2 - 23*x + 22. Let c be w(6). Let a be (-126)/(-84) - 42/c. Suppose -3/4*r**3 - a*r**2 - 12 - 18*r = 0. Calculate r.
-4, -1
Let p(b) be the first derivative of -5*b**4/12 + b**3/3 + 16*b**2/3 + 4*b + 274. Factor p(r).
-(r - 3)*(r + 2)*(5*r + 2)/3
Suppose 3/7*f**2 - 1599/7 + 228*f = 0. Calculate f.
-533, 1
Let c(x) be the second derivative of -x**5/90 + 5*x**4/6 + 313*x**3/27 - 119*x**2/3 + 6509*x. Suppose c(o) = 0. What is o?
-7, 1, 51
Let z = -21264 - -21269. Let p(m) be the third derivative of 0 + 1/280*m**6 + 0*m**3 + 0*m**4 + 15*m**2 - 1/35*m**z + 0*m. Find u such that p(u) = 0.
0, 4
Let p(c) = 8*c**3 + 127*c**2 + 89*c - 743. Let q(r) = -5*r**3 - 85*r**2 - 60*r + 495. Let a = 514 + -507. Let u(d) = a*q(d) + 5*p(d). Factor u(y).
5*(y - 2)*(y + 5)**2
Let k(b) be the third derivative of 0 - 2*b - 67*b**2 - 9/8*b**4 + 1/20*b**5 - 9/2*b**3 + 1/40*b**6. Determine o, given that k(o) = 0.
-3, -1, 3
Let h(y) be the second derivative of y**4/102 + 90*y**3/17 - 32*y**2 + 1344*y. Let h(z) = 0. Calculate z.
-272, 2
Let m be ((-315)/(-56) + -6)/(-18 + (-726)/(-44)). Suppose 0*b - b = -4. Factor 0 + 1/2*c - m*c**2 + 1/4*c**b + 1/4*c**5 - 3/4*c**3.
c*(c - 1)**2*(c + 1)*(c + 2)/4
Let o(s) be the third derivative of 3/50*s**5 + 47/40*s**4 + 141*s**2 + 0 + 0*s - 4/5*s**3. Determine m, given that o(m) = 0.
-8, 1/6
Let t(k) = -2*k**3 - 11*k**2 - 6*k - 3. Let a(m) = 30*m + 1431*m**2 - 1377*m**2 + 5*m**3 + 5*m**3 + 14. Let w(u) = 6*a(u) + 28*t(u). Factor w(p).
4*p*(p + 1)*(p + 3)
Let q(h) = -2*h**3 + 8*h**2 + 12*h - 28. Let n(u) = 6*u**3 - 23*u**2 - 35*u + 81. Let y = -368 + 379. Let x(b) = y*q(b) + 4*n(b). Suppose x(w) = 0. Calculate w.
-2, 2
Let g = -4965/46 + 2494/23. Find h, given that 13/2*h**4 - 384 - 16*h**2 + 256*h - 24*h**3 - g*h**5 = 0.
-3, 4
Let o = -10 + 15. Let s be -1 - 0 - (-15)/o. Factor -3*m**3 + 3*m**s - 185*m + 185*m.
-3*m**2*(m - 1)
Suppose 18 = 88*f - 82*f. Let a(i) = 3*i**2 - 2*i - 5. Let g(s) = -4*s**2 + 2*s + 6. Let h(v) = f*a(v) + 2*g(v). Factor h(m).
(m - 3)*(m + 1)
Solve -24*i + 35 - 59280*i**2 - 8 + 59277*i**2 = 0 for i.
-9, 1
Determine z, given that 704/13 - 2/13*z**2 - 168/13*z = 0.
-88, 4
Suppose 0 = -4*x + j + 98, 2*x - 14*j - 46 = -15*j. Let g be (x/64)/(9/48). Find s, given that 8/7 + 12/7*s + 4/7*s**g = 0.
-2, -1
Let l = -261679 - -261681. Factor 7*o + 29/4*o**l + 0 + 1/4*o**3.
o*(o + 1)*(o + 28)/4
Let i(a) be the first derivative of 2*a**6/3 + 44*a**5/5 + 39*a**4 + 244*a**3/3 + 88*a**2 + 48*a + 641. Solve i(t) = 0 for t.
-6, -2, -1
Let w = -197 - -202. Factor 210*d - 7*d**3 + 3*d**w - 162*d - 17*d**3.
3*d*(d - 2)**2*(d + 2)**2
Let y(w) = -w + 9. Let x be y(5). Let z = -314303/3 + 104768. Let -4/3 - d - z*d**x + d**3 + 5/3*d**2 = 0. Calculate d.
-1, 1, 4
Suppose 5 = 31*q + 6608. Let l = q + 213. Factor -3/4*j**4 + 5/2*j**3 - 9/4*j**2 + l + 1/2*j.
-j*(j - 2)*(j - 1)*(3*j - 1)/4
Suppose 5*c = -5*d - 15, 4*c - 4*d - 86 + 58 = 0. Factor -5/2 - 1/2*p**c - 3*p.
-(p + 1)*(p + 5)/2
Suppose -5 - 4 = -3*y. Let m be (-5)/(-3) + (-515)/(-1545). Factor 0*x - 2/5*x**m + 4/5*x**y + 0 - 2/5*x**4.
-2*x**2*(x - 1)**2/5
Let g(a) be the first derivative of a**5/25 - a**4/10 - a**3/15 + a**2/5 + 1842. Determine s so that g(s) = 0.
-1, 0, 1, 2
Let c = -7424/286741 - -12/959. Let l = c + 610/897. Factor l - 4/3*i**2 - 7/3*i.
-(i + 2)*(4*i - 1)/3
Suppose 4*i + o - 252 + 257 = 0, 4*i = 3*o + 15. Let b(l) be the third derivative of 0*l**4 + 5/6*l**3 - 1/12*l**5 + 0 + i*l + 11*l**2. What is n in b(n) = 0?
-1, 1
Let a be 4/(-18) - (6 + 896/(-63)). Let i be 24/13 + a/208*4. Suppose -i - 1/3*v + 1/3*v**2 = 0. Calculate v.
-2, 3
Let d(t) be the first derivative of -2*t**5/5 + 285*t**4/2 + 382*t**3 + 287*t**2 + 5849. Suppose d(m) = 0. What is m?
-1, 0, 287
Let u(h) = -15*h + 79. Let g be u(5). Suppose g*j - 9*j = -2*a + 15, 9 = 3*a - 3*j. Determine i, given that a + 4/3*i**2 + 1/3*i = 0.
-1/4, 0
Let m(u) be the first derivative of u**6/9 + 28*u**5 - 211*u**4/6 + 2077. Factor m(p).
2*p**3*(p - 1)*(p + 211)/3
Let o(s) = 4*s**3 + 111*s**2 + 147*s + 75. Let p(w) = 110*w**2 + 146*w + 78. Let z(r) = -6*o(r) + 5*p(r). Find h such that z(h) = 0.
-3, -1, -5/6
Let r(t) = t**2 - 14*t + 3. Let z be r(7). Let h = 51 + z. Suppose -3*y + 58*y**2 - 6 + 4*y - 48*y**2 + y**h + 1 - 2*y**3 - 5*y**4 = 0. Calculate y.
-1, 1, 5
Solve -142/5*o - 148/5*o**4 - 428/5*o**2 - 2/5*o**5 + 0 - 432/5*o**3 = 0.
-71, -1, 0
Let a(v) be the second derivative of -2/13*v**3 + 1/195*v**6 - 2/65*v**5 + 0*v**2 + 1 - 11/78*v**4 + 20*v. What is u in a(u) = 0?
-1, 0, 6
Let y(l) be the second derivative of -l**7/11340 + 11*l**6/3240 - l**5/54 - 7*l**4/2 + 28*l. Let i(f) be the third derivative of y(f). Factor i(s).
-2*(s - 10)*(s - 1)/9
Let s(l) be the first derivative of l**6/2 + 2661*l**5/35 + 4467*l**4/28 - 1387*l**3/7 - 2244*l**2/7 + 1500*l/7 - 2633. Determine a so that s(a) = 0.
-125, -2, -1, 2/7, 1
Let z = 345 + -231. Let p be z/7 - 8/28. Solve -p*u - 17 + 7 - 12*u**2 + 6 = 0.
-1, -1/3
Let o(s) be the third derivative of 83*s**4/24 - 110*s**3 + 905*s**2. Let v be o(8). Factor 147/10*c**2 + 0 + 343/10*c + 21/10*c**3 + 1/10*c**v.
c*(c + 7)**3/10
Suppose 11*c + 12 = p + 8*c, 3*c + 21 = 4*p. Solve -7*o**2 - 2*o + 8*o + p*o**3 - 3*o + o**2 = 0.
0, 1
Let g(z) = 2*z**3 + z - 1. Let s be g(2). Let f = s + -13. Find i, given that 3*i**2 + 7*i - 24*i**3 + 0*i**2 + i**2 + 4*i**f + 64 + 89*i = 0.
-1, 4
Suppose 5*x + 4*i - 104 - 61 = 0, x + 4*i = 33. Suppose -5*k - j = 3*j - 30, -5*j + x = 4*k. Factor 48*m**3 + 47*m - 66*m**k + 21*m**4 - 69*m**2 - 5*m + 24.
3*(m - 1)**2*(m + 4)*(7*m + 2)
Let i(t) be the third derivative of -t**8/112 - 57*t**7/280 - t**6/16 + 57*t**5/80 + 7*t**4/16 + t**2 - 170*t. Suppose i(a) = 0. What is a?
-14, -1, -1/4, 0, 1
Let d(s) be the third derivative of -s**6/96 + 121*s**5/24 + 5458*s**2. Solve d(p) = 0 for p.
0, 242
Solve 315 - 3/2*y**2 + 69/2*y = 0.
-7, 30
Let c be 10/4*(-7248)/(-60). Let u = -300 + c. Determine w so that 5*w - 5*w**u - 5/3 + 5/3*w**3 = 0.
1
Let b(m) be the first derivative of -m**3/6 + 23*m**2/4 - 11*m + 681. What is o in b(o) = 0?
1, 22
Let o(v) = -v**3 - 10*v**2 + 10. Let k be o(-10). Suppose -k*y - 2 = -22. Factor 2 - x**2 + 4*x - 7*x + y*x.
-(x - 1)*(x + 2)
Let v(z) be the second derivative of z**5/20 + 19*z**4/12 + 3*z**3 + z**2 + 21*z. Let w be v(-18). Factor -16*y**3 + 2 + 12*y**2 - w - 101*y**4 + 105*y**4.
4*y**2*(y - 3)*(y - 1)
Let 4296 + 9*j**3 - 7*j**3 - 7619 - 588*j + 42*j**2 + 4315 = 0. What is j?
-31, 2, 8
Let j be -2 + 8 + (1 - 2). Suppose 0 = -4*g, j*g - 15 = -2*u - u. Factor 2*a**u - 10*a**3 + 5*a**4 + 3*a**5 + 10*a**5.
5*a**3*(a + 1)*(3*a - 2)
Solve 1369/6 + 1/6*i**3 + 1295/6*i - 73/6*i**2 = 0 for i.
-1, 37
Let d be (-36*(-594)/(-11440)*5)/(3/(-4)). Factor -2/13*a**2 - 36/13*a - d.
-2*(a + 9)**2/13
Let o = 2424526/75 + -32327. Let k(g) be the third derivative of 0*g**3 + 0*g**4 - o*g**5 - 2*g**2 + 0 + 1/75*g**6 - 2*g - 2/525*g**7. Factor k(h).
-4*h**2*(h - 1)**2/5
Let a(g) be the first derivative of 2*g**5/15 + 7*g**4 + 152*g**3/3 + 440*g**2/3 + 192*g - 815. Solve a(k) = 0.
-36, -2
Let h(l) be the second derivative of l**7/1120 + l**6/240 + l**3/3 - 3*l**2 - 39*l. Let g(i) be the second derivative of h(i). Factor g(a).
3*a**2*(a +