*3 - 65*s**3 - 66*s**3 - 660*s.
-3*s*(s + 5)*(s + 44)
Factor 22/3*n + 58/3 - 7/6*n**2.
-(n + 2)*(7*n - 58)/6
Let g(v) = -2*v + 11. Let f be g(13). Let r be (4 - (-108)/f) + 0 + 4. Solve 4/5*h**2 + 0 - 4/5*h**4 + 4/5*h**3 + 0*h - r*h**5 = 0 for h.
-1, 0, 1
Suppose -6*t = -10*t + 20. Factor 60*n - 120*n - n**3 - t*n**2 + 60*n.
-n**2*(n + 5)
Let u(r) be the third derivative of r**8/1848 + 2*r**7/55 + 31*r**6/60 + 106*r**2 - 23. What is a in u(a) = 0?
-31, -11, 0
Let q(p) be the third derivative of -p**5/180 - 7*p**4/18 - 32*p**3/3 - 2*p**2 - 159. Factor q(c).
-(c + 12)*(c + 16)/3
Let u = 3689/640 + -533/128. Let -u*r + 2/5*r**3 + 0 - 2/5*r**4 + 8/5*r**2 = 0. Calculate r.
-2, 0, 1, 2
Let s(a) be the second derivative of -a**4/132 - 43*a**3/66 - 111*a**2/11 + 2*a + 555. Let s(h) = 0. Calculate h.
-37, -6
Let f(l) = -l**3 + 11*l**2 + 10*l + 29. Let k be f(12). Find v, given that 15*v**3 + 32 + 10*v**3 - 64*v - k*v**3 - 34*v**4 + 6*v**5 + 36*v**3 = 0.
-1, 2/3, 2
Let i = -617929 - -1853801/3. Find d, given that i*d + 12 + 2/9*d**2 = 0.
-18, -3
Let i(n) be the third derivative of -n**8/2016 - 143*n**7/1260 - 47*n**6/240 + 143*n**5/360 + 71*n**4/72 + n**2 + 3045. Let i(v) = 0. What is v?
-142, -1, 0, 1
Let t(b) = -b**2 - 5*b + 22. Let f be t(-8). Let p be (f/5 + 0)*-20. Solve -4 - p + 84*h - 9*h**3 + 102*h**3 - 159*h**2 - 27*h**4 + 21*h**3 = 0 for h.
2/9, 1, 2
Let t = 48602 + -48600. Factor 3/2 + 3/4*w**t - 9/4*w.
3*(w - 2)*(w - 1)/4
Let g(d) be the third derivative of 0*d**3 + 2 - 26/255*d**5 - 108/595*d**7 + 1/51*d**4 + 17*d**2 + 15/68*d**6 + 0*d. Factor g(x).
-2*x*(4*x - 1)*(9*x - 2)**2/17
Let t(o) be the second derivative of o**6/75 - 11*o**5/50 + 16*o**4/15 - 28*o**3/15 + 5326*o. Factor t(a).
2*a*(a - 7)*(a - 2)**2/5
Suppose 0*n**5 + 197*n**2 + 0*n**5 - 207*n**2 - 45 - n**5 - 4*n**5 - 90*n**3 + 95*n + 55*n**4 = 0. What is n?
-1, 1, 9
Let i(m) = m**3 - 10*m**2 - 10*m - 159. Let u be i(-9). Let r be (-4 + u/(-396))*9. Factor -r*l**3 + 0 - 4/11*l - 10/11*l**2.
-2*l*(l + 1)*(3*l + 2)/11
Let r(g) be the second derivative of 25*g**4/48 + 65*g**3/12 + 22*g + 47. Let r(v) = 0. Calculate v.
-26/5, 0
Let p = 17946 - 17940. Let r(d) be the third derivative of 6*d**2 + 0*d + 1/120*d**4 + 1/525*d**7 - 1/1680*d**8 + 0*d**3 + 0 - 1/150*d**5 + 0*d**p. Factor r(y).
-y*(y - 1)**3*(y + 1)/5
Let w(h) be the second derivative of -h**4/3 - 182*h**3/3 - 860*h**2 + 2*h - 6. Factor w(a).
-4*(a + 5)*(a + 86)
Suppose 4787*j - 9406*j + 8*j**2 + 3981*j = 0. What is j?
0, 319/4
Let k = -67/877 - -2899/3508. Determine c so that k*c - 3/2*c**2 - 3*c**4 + 0 - 21/4*c**3 = 0.
-1, 0, 1/4
Suppose 0 = 5*m + 19 - 29. Suppose 3*r = -3*y, -2*r + m*y + 8 = -0. Let -6 - 2 + 222*n**2 + 12*n - 222*n**r - 4*n**3 = 0. What is n?
-2, 1
Let r = 10 + -5. Suppose 337 - 391 = -27*k. Factor -126*a**2 - 4*a**r + 0*a**5 + 12*a**3 + 118*a**k.
-4*a**2*(a - 1)**2*(a + 2)
Let r(u) = -u**3 + u**2 - u. Let f be r(0). Let h be (f - -14)*(1 + (-10)/14). Let -27*v**2 + 22 - 4*v**h - 6 + 15*v**2 - 16*v + 16*v**3 = 0. Calculate v.
-1, 1, 2
Suppose 3/4 + 233/4*y - 39/2*y**2 = 0. What is y?
-1/78, 3
Suppose 5*n + 15 = -4*m, -406 = m + 3*n - 397. Let t(g) be the first derivative of m*g + 2 + 5/3*g**3 + 0*g**2. Find x such that t(x) = 0.
0
Let i(x) be the second derivative of 0 - 10*x + 11/90*x**6 + 0*x**2 + 3/20*x**5 - 1/18*x**3 + 1/36*x**4 + 2/63*x**7. Factor i(t).
t*(t + 1)**3*(4*t - 1)/3
Let d(j) = 18*j + 23. Let r be d(-4). Let p be (-38)/(-14) + (-14)/r. Factor 22*c - 12*c**2 + 0*c**3 - 10*c + p*c**3.
3*c*(c - 2)**2
Suppose -3*c - 3 = 3*f, 0 = 4*f - c + 66 - 87. Let v(w) be the third derivative of 0*w**f + 0*w + 0*w**3 + 0 - 14*w**2 + 1/12*w**5 - 1/72*w**6. Factor v(y).
-5*y**2*(y - 3)/3
Suppose 9 = y + 4*s + 2, 0 = -y + 4*s - 17. Let r be 19/4 + (-40)/((-100)/y). Determine w so that -3/2*w + 1/4*w**4 - r*w**2 - w**3 + 0 = 0.
-1, 0, 6
Let w(s) = 3*s**3 - 72*s**2 + 15*s + 585. Let r(v) = -v**3 + 35*v**2 - 8*v - 292. Let j(b) = -9*r(b) - 4*w(b). Suppose j(z) = 0. Calculate z.
-8, -4, 3
Let 75*o**3 + 33*o**2 - 10*o**3 - 32*o**3 - 30*o**3 + 30*o - 151 - 65 = 0. Calculate o.
-9, -4, 2
Let t(q) be the second derivative of -q**4/30 - 598*q**3/15 + 240*q**2 + 2*q + 243. Factor t(a).
-2*(a - 2)*(a + 600)/5
Let l(q) be the third derivative of -q**7/1890 - q**6/180 - q**5/45 - q**4/24 - 29*q**3/6 + 143*q**2. Let h(v) be the second derivative of l(v). Solve h(w) = 0.
-2, -1
Factor 41348 + 5005*y + 40*y**2 - 82615 + 41892.
5*(y + 125)*(8*y + 1)
Let p(l) be the first derivative of l**6/60 - 7*l**5/30 + l**4/2 + 14*l**2 + l - 28. Let w(k) be the second derivative of p(k). Solve w(j) = 0.
0, 1, 6
Let a(b) = -24*b**2 - 14*b + 10. Let l(s) = -s**2 + 1. Let m be -5*1 - (5 + -49). Let y be (-6)/(-4)*(m/(-9) + 3). Let v(h) = y*a(h) + 44*l(h). Factor v(u).
4*(u + 1)*(u + 6)
Let b = 4/829 + 6785/140101. Let h = 437/1859 - b. Factor -8/11*d + 2/11*d**2 + h*d**3 - 8/11.
2*(d - 2)*(d + 1)*(d + 2)/11
Find m such that -783/5*m - 729/5 - 11*m**2 - 1/5*m**3 = 0.
-27, -1
Let j(c) = 2*c**4 + 4*c**3 - c**2 - 2*c + 5. Let y(m) = -21*m**4 - 78*m**3 + 111*m**2 - 96*m - 12. Let t(a) = 12*j(a) + y(a). Suppose t(k) = 0. Calculate k.
1, 4
Suppose -15*c + 48 = 3. Let r be -4 + 9 - c/1*1. Factor -s - 1/5*s**3 - 4/5*s**r - 2/5.
-(s + 1)**2*(s + 2)/5
Let 74 + 158*b - 19*b**3 - 220*b**2 - 25 + 7*b**3 + 250*b + 111 = 0. What is b?
-20, -1/3, 2
Let u(n) be the second derivative of -n**6/30 + 3*n**5/2 - 21*n**4 + 108*n**3 + 9871*n. Factor u(r).
-r*(r - 18)*(r - 6)**2
Let o(b) = -b**2 + 3*b - 1. Let l be o(2). Let v be l/4*7*8. Factor -7*t - 2*t**2 + 0*t + 5*t - 32 - v*t.
-2*(t + 4)**2
Let y(n) be the third derivative of -n**7/1470 + 19*n**6/840 + 113*n**5/420 + 55*n**4/56 + 12*n**3/7 - 2211*n**2. Factor y(a).
-(a - 24)*(a + 1)**2*(a + 3)/7
Factor 0*q + 0 - 76/3*q**2 - 2/3*q**4 + 26*q**3.
-2*q**2*(q - 38)*(q - 1)/3
Let x(q) be the third derivative of q**5/180 - q**4/8 - 11*q**3/9 - 11*q**2 - 192*q. Find s, given that x(s) = 0.
-2, 11
Suppose 184 - 172 = 4*w. Let a(o) be the first derivative of 6 - 1/4*o**4 + 11/2*o**2 + 4*o**w - 4/5*o**5 + 2*o. Factor a(s).
-(s - 2)*(s + 1)**2*(4*s + 1)
Let z(t) be the first derivative of -6/5*t**2 + 3*t - 132 - 1/5*t**3. What is b in z(b) = 0?
-5, 1
Let g(f) be the third derivative of -6*f**2 + 0*f**5 + 1/40*f**6 - 13/8*f**4 + 0 - 6*f**3 + 0*f. Suppose g(r) = 0. What is r?
-3, -1, 4
Let t = 76083/3382 - -6/1691. Let q(b) be the first derivative of -5/4*b**4 - 5*b**3 + t*b**2 - 14 - 25*b. Let q(d) = 0. Calculate d.
-5, 1
Let j(v) be the second derivative of -11*v**6/6 + 43*v**5/4 - 85*v**4/4 + 85*v**3/6 + 5*v**2 - 2840*v. What is u in j(u) = 0?
-1/11, 1, 2
Let f(c) be the first derivative of -7*c**3/27 + 8*c**2/9 - 4*c/9 + 665. Factor f(j).
-(j - 2)*(7*j - 2)/9
Solve -2/13*j**5 - 944/13*j**2 + 36814/13*j + 316/13*j**4 + 24964/13 - 12476/13*j**3 = 0 for j.
-1, 2, 79
Suppose u - 99 = -96. Factor 60*l**3 + 7*l + 9 + 36*l**2 + 21*l - 40*l**u + 4*l**4 - 1.
4*(l + 1)**3*(l + 2)
Let w(h) be the first derivative of -2*h**6/3 + 14*h**5/5 + 207*h**4/16 + 47*h**3/3 + 59*h**2/8 + 3*h/2 - 5822. Let w(t) = 0. What is t?
-1, -1/4, 6
Let k = 214 + -210. Factor 45*c + 8 - 116 - 66*c**2 - k*c**3 + 167*c - 39*c**2 + 5*c**2.
-4*(c - 1)**2*(c + 27)
Factor -4160*k - 10830*k**4 + 264*k**2 + 840*k**2 + 5376 + 10832*k**4 - 108*k**3.
2*(k - 42)*(k - 4)**3
Determine a, given that -143 + 1/3*a**2 + 140/3*a = 0.
-143, 3
Let m = 65786 - 65784. Factor -48/5 - 3/5*t**m - 24/5*t.
-3*(t + 4)**2/5
Let p(f) be the second derivative of -f**5/120 - 89*f**4/36 + 181*f**3/36 + 179*f**2/6 + 6580*f - 2. Factor p(k).
-(k - 2)*(k + 1)*(k + 179)/6
Let z = -653 + 753. Find p such that -240*p**2 - 10 - 240*p**3 - z*p**4 - 12 + 22 - 15*p**5 - 80*p = 0.
-2, -2/3, 0
Let m = -2435 + 2440. Let g(b) be the second derivative of 1/4*b**m - 25/6*b**3 + 15*b + 15/2*b**2 + 5/12*b**4 + 0. Find r, given that g(r) = 0.
-3, 1
Let y(u) = -u**2 - 52*u - 324. Let o be y(-8). Let j(r) be the second derivative of -1/48*r**4 - 9/8*r**2 - 1/4*r**3 - o*r + 0. Let j(q) = 0. Calculate q.
-3
What is f in 0 - 5/3*f**3 + 5/3*f**5 + 0*f + 55/3*f**4 - 55/3*f**2 = 0?
-11, -1, 0, 1
Let j(w) be the second derivative of w**6/80 + 27*w**5/160 - 33*w**4/32 + 35*w**3/16 - 9*w**2/4 + 196*w - 1. Factor j(