1, 30
Let l(y) be the first derivative of 16/3*y**3 + 0*y + 10*y**2 - 23. Factor l(s).
4*s*(4*s + 5)
Let w be (22 + -19)*2/(-6). Let f be 4/(((-40)/(-72))/(w/(-2))). What is m in -12/5*m + f + 2/5*m**2 = 0?
3
Let o be 4/(-32) - (-51)/24. What is x in -25*x**3 - x**4 + 4*x + 3*x**2 + 33*x**3 + 3*x**4 + 7*x**o = 0?
-2, -1, 0
Find s, given that -560/3*s - 572 + 4/3*s**2 = 0.
-3, 143
Let -172/3*n**2 + 518/3*n**3 - 2*n**4 + 0 + 0*n = 0. What is n?
0, 1/3, 86
Let r(v) be the third derivative of -11*v**6/140 - 23*v**5/140 - v**4/56 - 4441*v**2. Factor r(u).
-3*u*(u + 1)*(22*u + 1)/7
Solve -1086*i**2 - 1548*i + 432 + 306*i**2 + 225*i**3 - 15313*i**4 + 15376*i**4 - 12*i**5 = 0 for i.
-3, -2, 1/4, 4, 6
Let h(v) = 4*v**2 - 16432*v - 5647184. Let z(p) = 2*p**2 - 10956*p - 3764788. Let d(g) = -5*h(g) + 8*z(g). Factor d(a).
-4*(a + 686)**2
Let p(l) be the second derivative of 1/360*l**6 - 25*l - 11/6*l**3 + 0*l**4 + 0 + 1/15*l**5 + 0*l**2. Let t(a) be the second derivative of p(a). Factor t(o).
o*(o + 8)
Let b be (25/2)/(0 - 3/(-32)). Let z be -1*3/(-2)*140/315. Factor 60*s**2 + 250/3 + z*s**4 - b*s - 32/3*s**3.
2*(s - 5)**3*(s - 1)/3
Let v(x) be the third derivative of 121/18*x**3 + 0*x - 131/180*x**5 + 0 + 1/60*x**6 + 88/9*x**4 + 156*x**2. Factor v(o).
(o - 11)**2*(6*o + 1)/3
Let f(z) be the first derivative of 5*z**6/6 - 14*z**5 + 235*z**4/4 + 70*z**3/3 - 120*z**2 - 1000. Determine v so that f(v) = 0.
-1, 0, 1, 6, 8
Let c(o) = 2*o**2 - 23*o + 64. Let a be c(15). Factor 7*h**2 - 799 - a - 9*h**2 + 88*h + 0*h**2.
-2*(h - 22)**2
Let h(a) be the second derivative of -a**7/189 + 44*a**6/135 - 94*a**5/15 + 880*a**4/27 - 1600*a**3/27 + 3*a + 82. Factor h(f).
-2*f*(f - 20)**2*(f - 2)**2/9
Let p = 883906/23535 - 4/2615. Factor 2/9*r**2 + p - 52/9*r.
2*(r - 13)**2/9
Let r(y) be the first derivative of 5/2*y**4 - 1/3*y**6 - 2/5*y**5 - 180 + 0*y - 2*y**3 + 0*y**2. Determine v, given that r(v) = 0.
-3, 0, 1
Let n(d) be the second derivative of d**7/21 + 11*d**6/3 + 416*d**5/5 + 1012*d**4/3 - 208*d**3/3 - 2704*d**2 - 69*d - 8. Suppose n(w) = 0. Calculate w.
-26, -2, 1
Let o be (-16 - (-16236)/363) + -28. Let i(v) = v. Let g be i(2). Suppose -6/11*r**g + 16/11*r - o = 0. Calculate r.
2/3, 2
Factor -2/13*q**2 + 32/13*q - 96/13.
-2*(q - 12)*(q - 4)/13
Let l(x) be the first derivative of -4*x**3/5 + 1434*x**2/5 - 171363*x/5 - 6515. Factor l(n).
-3*(2*n - 239)**2/5
Let w(k) be the second derivative of -2*k - 11/5*k**4 + 16/5*k**2 + 10 - 4/15*k**3 - 2/15*k**6 - 28/25*k**5. Find c such that w(c) = 0.
-4, -1, 2/5
Let o(i) = -i**3 - 15*i**2 + 16*i - 8. Let k be o(-16). Let j be ((-4)/k)/((-4)/(-24)). Factor -13*u + 20*u**j - 11*u + 4*u + 5 - 5*u**2.
5*(u - 1)*(u + 1)*(4*u - 1)
Let x(w) be the second derivative of w**8/8400 + w**7/1400 + w**6/600 + w**5/600 + 35*w**3/6 - 5*w + 2. Let v(j) be the second derivative of x(j). Factor v(b).
b*(b + 1)**3/5
Find w such that 98/5 + 1/5*w**2 + 99/5*w = 0.
-98, -1
Let k(b) = -b**3 - 526*b**2 - 7662*b + 47. Let j be k(-15). Factor 9*w**j + 54*w + 1/2*w**3 + 108.
(w + 6)**3/2
Let i = 1436 + -1417. Let m be ((-12)/20 - i/10)*-2. Determine x so that 6/7*x**3 - 9/7*x + 6/7*x**2 - 9/7*x**4 + 3/7*x**m + 3/7 = 0.
-1, 1
Let n = -10808/477 + -130/53. Let y = n - -1609/63. Factor 3/7 - y*c**2 + 0*c.
-3*(c - 1)*(c + 1)/7
Let y(c) = c**2 + 263*c - 525. Let m be y(2). Let -1113/4*j**3 - 591/2*j**2 - 6 - 75*j + 243*j**m + 1647/4*j**4 = 0. Calculate j.
-2, -1/4, -2/9, 1
Suppose -2*o = -5*j + 592, -3*j = -4*j + 3*o + 108. Let y = 102 + -100. Factor 8*l + 115*l**3 - j*l**3 + 12*l + 23*l**2 - 8*l**y.
-5*l*(l - 4)*(l + 1)
Let n(h) be the second derivative of 23*h**3 + 1587*h**2 + 0 - 147*h + 1/8*h**4. Find y such that n(y) = 0.
-46
Let z(n) be the first derivative of 9*n**5/4 - 47*n**4/4 + 18*n**3 - 6*n**2 - 55*n + 115. Let t(v) be the first derivative of z(v). Find p such that t(p) = 0.
2/15, 1, 2
Let g(j) be the first derivative of j**4/7 + 248*j**3/21 + 122*j**2/7 + 1977. Factor g(s).
4*s*(s + 1)*(s + 61)/7
Let d(t) be the second derivative of -t**6/60 - 6*t**5/5 + 205*t**2/2 + t + 252. Let c(a) be the first derivative of d(a). Factor c(n).
-2*n**2*(n + 36)
Let v(z) be the third derivative of 0 + 85*z**2 + 52/3*z**4 + 1/15*z**5 + 0*z + 5408/3*z**3. Factor v(d).
4*(d + 52)**2
Let r(n) = 12148*n**2 - 6070*n**2 - 6069*n**2 - 17*n. Let j(k) = 8*k**2 - 16*k. Suppose 4*t - 8 = 16. Let p(x) = t*r(x) - 7*j(x). Suppose p(c) = 0. What is c?
0, 5
Let o be (-30)/(-4) + (-15)/(-30). Suppose 32 - 2*f**2 + 7*f**3 - 38*f**2 + o*f**4 - 8*f**3 - 48*f + 13*f**3 = 0. Calculate f.
-2, 1/2, 2
Let w(a) be the third derivative of 1/330*a**5 + 0 + 0*a**3 - 12*a**2 - 5*a + 1/12*a**4. Factor w(u).
2*u*(u + 11)/11
Let i(h) be the first derivative of -2*h**5/15 - 13*h**4/3 + 8*h**3 + 78*h**2 - 162*h + 4538. Solve i(v) = 0.
-27, -3, 1, 3
Let s be (-4)/(-22) + 13/(-11). Let r be (15/(-25))/(s/5 - 0). Factor -2/9*a**4 + 4/9*a + 2/9 + 0*a**2 - 4/9*a**r.
-2*(a - 1)*(a + 1)**3/9
Let h(n) be the second derivative of -n**5/100 + 7*n**4/60 + 4*n**3/15 + 2846*n. Factor h(r).
-r*(r - 8)*(r + 1)/5
Let d = 23986/5 - 4797. Let g = 268 - 266. Suppose d*j**g + 9/5 - 6/5*j = 0. What is j?
3
Let h = 151745/2 - 1062199/14. Factor -16/7*u**4 + 16/7*u**3 - 20/7*u + 8/7 + h*u**2 + 4/7*u**5.
4*(u - 2)*(u - 1)**3*(u + 1)/7
Let y(i) be the first derivative of -i**3/6 + 987*i**2/2 - 5892. Factor y(k).
-k*(k - 1974)/2
Suppose -13/2*d - 9/2*d**2 + 21 = 0. Calculate d.
-3, 14/9
Let d(p) = 3*p - 9. Let u be d(4). Suppose 4*o - 2*r = 12, 5 = 3*o - 5*r + u. Factor 30*z**2 - 6*z**2 + 58*z + 2*z**5 - 50*z + 26*z**3 + 12*z**o.
2*z*(z + 1)**2*(z + 2)**2
Suppose 4*k + 4*g - 524 - 68 = 0, 2*k = -5*g + 290. Suppose -5*j - 5*j = -k. Determine s, given that -13*s**2 + 2*s**4 + 0*s**3 - 4*s**3 + j*s**2 = 0.
0, 1
Determine i so that 169/3*i**3 + 2/3*i**5 + 11*i + 0 - 133/3*i**2 - 71/3*i**4 = 0.
0, 1/2, 1, 33
Suppose -129 = -88*q + 47. Factor 4/5 - 2/5*p**q - 2/5*p.
-2*(p - 1)*(p + 2)/5
Let i(z) be the first derivative of z**6/3 + 244*z**5/5 + 3957*z**4/2 + 28792*z**3/3 + 13924*z**2 + 2463. Suppose i(v) = 0. Calculate v.
-59, -2, 0
Let y(u) = -3*u**3 + 10*u**2 + u - 28. Let n(w) = 4*w**3 - 15*w**2 - w + 44. Let q(j) = 5*n(j) + 7*y(j). Find g, given that q(g) = 0.
-4, -3, 2
Let z(h) = 19*h - 17. Let b = 465 - 464. Let o be z(b). What is g in 0*g + 0 + 1/3*g**4 - 5/9*g**3 + 2/9*g**o = 0?
0, 2/3, 1
Factor 4/5*i - 28 + 1/5*i**2.
(i - 10)*(i + 14)/5
Let o(b) be the second derivative of -3*b**7/112 + b**6/10 + 9*b**5/20 - 19*b**4/16 - 69*b**3/16 - 27*b**2/8 + 3652*b. What is z in o(z) = 0?
-2, -1, -1/3, 3
Let v(j) be the third derivative of j**6/80 + 311*j**5/20 + 1241*j**4/16 + 155*j**3 - 7915*j**2. Solve v(r) = 0.
-620, -1
Let o = -118 - -119. Let w be -4 + (18/2)/o + -1. Solve w*d - 2*d**2 - 5*d**2 + 8*d**3 - 4*d**3 - d**2 = 0.
0, 1
Let z be 1/5*0/5 - -3. Factor 13*y + 8*y + 4*y**z - 3*y**3 - 10 - 12*y**2.
(y - 10)*(y - 1)**2
Factor -41 - 31*b**3 + 9*b**3 - 108*b - 564*b**2 - 5*b**3 + 137 + 333*b**2.
-3*(b + 1)*(b + 8)*(9*b - 4)
Suppose 4/5*i**3 - 2176/5 - 112*i**2 + 2192/5*i = 0. Calculate i.
2, 136
Let p = -731 + 459. Let l = p + 2721/10. Factor -l*g**2 + 1/5 - 1/10*g.
-(g - 1)*(g + 2)/10
Suppose -197*m - 624 = -201*m. Factor -3*h**2 + 68*h + 157*h - 378 + m.
-3*(h - 74)*(h - 1)
Let d be (2/9)/((2640/2772)/((-30)/(-28))). Factor 3/2 - 3/4*k**2 - 7/4*k + 3/4*k**3 + d*k**4.
(k - 1)**2*(k + 2)*(k + 3)/4
Let a(z) = 9 - 3*z**2 - 22*z - 10*z**3 - z**3 - 3. Let q(c) = 9*c**3 + 4*c**2 + 22*c - 5. Let w(b) = 5*a(b) + 6*q(b). Factor w(o).
-o*(o - 11)*(o + 2)
Let g = 1699/359820 - -5/5997. Let a(b) be the third derivative of -24*b**3 + 0*b + g*b**6 + 2*b**2 + 0 + 3*b**4 - 1/5*b**5. Factor a(t).
2*(t - 6)**3/3
Suppose 3*b - 7*c - 27 = 0, b - 179*c - 17 = -174*c. Factor 0*x + 5/2*x**b - 5/2.
5*(x - 1)*(x + 1)/2
Let t(i) = i**2 + 36. Let b(q) = -3*q**2 - 90. Let a(g) = -2*b(g) - 5*t(g). Determine x so that a(x) = 0.
0
Let i(x) = 15*x**2. Let z be i(1). Suppose 8 = 3*g - 0*g - w, 0 = 4*g + 3*w - z. Determine h so that -h**g - h**4 + 62*h**2 - 62*h**2 = 0.
-1, 0
Suppose 15/2 - 303/4*m + 285/2*m**2 = 0. Calculate m.
5/38, 2/5
Let v = -1113 - -5569/5. Let d = -24/55 - -7/11. Factor 0 + 4/5*f**2 + v*f + d*f**3.
f*(f + 2)**2/5
Let h(a) = 3 - 