+ 6*w**2 + r*w + 36.
-3*(w - 6)*(7*w + 2)
Let h(i) be the third derivative of -19 - 1/7*i**4 + 0*i**3 + 2*i**2 - 1/10*i**5 + 0*i - 1/40*i**6 - 1/490*i**7. What is n in h(n) = 0?
-4, -2, -1, 0
Suppose -1973 + 645 = -8*m. Factor -5*n**2 + 2*n**3 - m + 2*n**4 + 166 + 3*n**3 - n**2 - n**5.
-n**2*(n - 3)*(n - 1)*(n + 2)
Let c(k) be the third derivative of -k**6/100 + k**5/2 - 89*k**4/10 + 264*k**3/5 - 3983*k**2. Factor c(h).
-6*(h - 12)*(h - 11)*(h - 2)/5
Suppose 74 = -799*s + 836*s. Let p(m) be the second derivative of 0 + 1/48*m**4 - 9*m + 0*m**3 + 0*m**s. Let p(v) = 0. What is v?
0
Let o(d) be the third derivative of 0 + 5/672*d**8 + 1/80*d**6 - 77*d**2 - 3/140*d**7 + 0*d + 0*d**3 + 0*d**4 + 1/120*d**5. Factor o(f).
f**2*(f - 1)**2*(5*f + 1)/2
Let -406802/13 - 2/13*o**2 + 1804/13*o = 0. What is o?
451
Let d(g) be the first derivative of g**6/21 - 72*g**5 + 396897*g**4/14 + 7556*g**3/21 - 169740*g**2 - 226800*g - 2341. Determine k so that d(k) = 0.
-1, 2, 630
Let i(r) be the third derivative of r**6/160 - 13*r**5/16 - 67*r**4/16 - 4*r**2 - 19*r. Find v such that i(v) = 0.
-2, 0, 67
Let j(w) = 68*w - 37. Let g be j(2). Let n be 22/g - (-8)/(-36). Determine r, given that n*r**2 + 1/5*r**3 - 3/5*r - 2/5 = 0.
-1, 2
Determine v, given that -135*v**2 - 26 + 314*v - 27*v**3 - 71*v - 9*v**4 + 998 + 12*v**4 = 0.
-3, 3, 12
Let x(l) be the third derivative of l**9/18900 - l**8/8400 - l**7/1575 + 35*l**4/24 + 15*l**2 - 2. Let d(v) be the second derivative of x(v). Solve d(z) = 0.
-1, 0, 2
Let c(x) be the second derivative of -x**8/30240 + x**7/1620 - x**6/405 - 4*x**5/135 - 35*x**4/6 + 14*x. Let v(r) be the third derivative of c(r). Factor v(a).
-2*(a - 4)**2*(a + 1)/9
Let v be (4 - 3) + (16 - 888/56). Let l(h) be the first derivative of 8/7*h**2 - 10/21*h**3 + 1/14*h**4 - v*h + 43. Factor l(k).
2*(k - 2)**2*(k - 1)/7
Solve -29*s**3 + 200 + 3426*s**2 - 440*s - 2*s**4 - 3144*s**2 - 15*s**3 + 4*s**4 = 0 for s.
1, 10
Solve 18/7*u**4 - 258/7*u**2 + 2/7*u**5 + 240/7 + 92/7*u - 94/7*u**3 = 0.
-12, -2, -1, 1, 5
Let s(r) be the first derivative of -r**6/24 - 9*r**5/20 - 3*r**4/2 - 4*r**3/3 - 13. Factor s(h).
-h**2*(h + 1)*(h + 4)**2/4
Suppose -212 = -2*c - 2*t, -5*c - 3*t = -234 - 296. Let r be 4/22 - c/(-22). Factor -x**4 - 40*x**3 + x**5 - 4*x**2 + 39*x**3 + r*x**2.
x**2*(x - 1)**2*(x + 1)
Let c = 2759 - 2752. Let q(m) be the third derivative of 0*m + 0*m**5 + 0*m**4 + 0*m**3 - 1/1575*m**c + 0 + 1/2520*m**8 + 0*m**6 + 17*m**2. Factor q(a).
2*a**4*(a - 1)/15
Let w be -9*(-30 - 19136/(-672)). Suppose -12/7*i**2 + 153/7*i**4 - 3*i**5 + 360/7*i - w - 42*i**3 = 0. Calculate i.
-1, 2/7, 2, 4
Let y(v) = -9*v - 43. Let x be y(-7). Suppose 39*c - 29*c = x. Factor 0 + 2/7*r**c + 6/7*r**4 + 0*r + 6/7*r**3 + 2/7*r**5.
2*r**2*(r + 1)**3/7
Solve 57/2*u**2 - 89/6*u**3 + 1/6*u**4 + 0 + 87/2*u = 0 for u.
-1, 0, 3, 87
Let f(h) be the third derivative of 116*h**7/105 + 5*h**6/3 + 13*h**5/30 - h**4/3 - h**2 + 1919. Factor f(o).
2*o*(2*o + 1)**2*(29*o - 4)
What is n in 6*n**2 - 8/5*n**5 + 22*n**4 + 0*n + 0 + 148/5*n**3 = 0?
-1, -1/4, 0, 15
Let u(x) be the second derivative of 1/20*x**5 - 1/6*x**3 - 17*x**2 + 0 + 17/6*x**4 + 86*x. Let u(i) = 0. Calculate i.
-34, -1, 1
Let b(q) = q. Let o be b(3). Suppose -o*l + 38*m - 43*m + 21 = 0, -1 = -2*l + m. Determine a so that 1/2*a**2 - 3/2*a - l = 0.
-1, 4
Factor -15*v**2 + 5*v**2 - 497*v - 397*v - 104*v + 12*v**2 + 996.
2*(v - 498)*(v - 1)
Let b(f) = f**5 - 2*f**4 - 10*f**3 + 11*f**2 + 5*f + 5. Let p(h) = -h**5 - 2*h**4 + 2*h**3 + h**2 - h - 1. Let g(m) = -b(m) - 5*p(m). Factor g(c).
4*c**2*(c - 1)*(c + 2)**2
Factor 2545*w - 4*w**3 + 521 + 2713*w - 4198*w + 2379 + 76*w**2.
-4*(w - 29)*(w + 5)**2
Factor 35 + 1329*w - 1762*w - 6*w**2 - 2535*w - 2011.
-2*(w + 494)*(3*w + 2)
Suppose -3*i**2 + 0*i**2 - 2*i**2 - 229*i + 402*i + 277*i = 0. Calculate i.
0, 90
Let y(j) = -9*j**3 + 203*j**2 + 881*j + 681. Let o(z) = 38*z**3 - 811*z**2 - 3522*z - 2727. Let v(i) = 2*o(i) + 9*y(i). Factor v(k).
-5*(k - 45)*(k + 1)*(k + 3)
Let i(q) be the third derivative of -q**7/630 - 53*q**6/360 + 47*q**5/30 - 115*q**4/18 + 116*q**3/9 + 7*q**2 - 158. Let i(k) = 0. Calculate k.
-58, 1, 2
Let y(r) be the first derivative of -5*r**6/6 - 4*r**5 + 10*r**4 + 70*r**3/3 - 35*r**2/2 - 50*r - 1675. Solve y(u) = 0 for u.
-5, -1, 1, 2
Let d(m) = -2*m**3 + m**2 - 4*m - 5. Suppose 0 = 5*t - 3*t + 4*k + 18, -5*t - 3*k = 17. Let o be d(t). Find c such that 8/3*c + 2/3*c**o + 2 = 0.
-3, -1
Let q(t) = -t**5 - 15*t**4 + 2*t**3 - 108*t**2 + 2. Let c(r) = -9*r**5 - 168*r**4 + 21*r**3 - 1080*r**2 + 21. Let d(l) = 2*c(l) - 21*q(l). Factor d(z).
3*z**2*(z - 6)*(z - 3)*(z + 2)
Let b(a) be the second derivative of -1/15*a**5 + 2 + 4/9*a**4 + 38/9*a**3 + 28/3*a**2 - 28*a. Suppose b(c) = 0. What is c?
-2, -1, 7
Let h be 114/10 + -1 + -28 + (-1440)/(-50). Let q(m) be the first derivative of 784/5*m + 27 + 4/15*m**3 + h*m**2. Factor q(w).
4*(w + 14)**2/5
Let z(q) be the first derivative of -3*q**4/28 - 66*q**3/7 - 1530*q**2/7 + 6936*q/7 + 914. Factor z(t).
-3*(t - 2)*(t + 34)**2/7
Factor -108 + 264/7*z - 4/7*z**2.
-4*(z - 63)*(z - 3)/7
Let r(t) = 73*t**3 + 108*t**2 - 778*t + 1467. Let o(c) = -88*c**3 - 108*c**2 + 780*c - 1466. Let p(j) = 5*o(j) + 6*r(j). Factor p(a).
-2*(a - 46)*(a - 4)**2
Let a be ((-3045)/189)/(-145) - (-1 + (-64)/(-90)). Factor 4/5*r + a + 2/5*r**2.
2*(r + 1)**2/5
Let q(m) be the third derivative of 5/8*m**4 - 1/42*m**7 + 5/3*m**3 + 0 - 1/12*m**5 - 1/8*m**6 + 5*m + 6*m**2. Determine c, given that q(c) = 0.
-2, -1, 1
Let z(s) be the second derivative of -s**6/255 + s**5/17 - s**4/6 - 28*s**3/51 - 5974*s. Solve z(d) = 0.
-1, 0, 4, 7
Let t(v) be the second derivative of 1/60*v**6 + 0*v**5 + 0*v**2 - 1/8*v**4 - 1/6*v**3 + 10 - v. What is n in t(n) = 0?
-1, 0, 2
Let j(c) = 7*c**4 - 43*c**3 - 21*c**2 - 59*c - 22. Let h(q) = 2*q**4 - 11*q**3 - 4*q**2 - 15*q - 6. Let o(b) = -22*h(b) + 6*j(b). Factor o(l).
-2*l*(l + 1)*(l + 3)*(l + 4)
Let p(o) be the third derivative of -o**6/60 - 1399*o**5/30 - 1396*o**4/3 - 1860*o**3 + 12909*o**2. Factor p(u).
-2*(u + 2)**2*(u + 1395)
Let a(z) be the second derivative of -z**4/12 - 97*z**3/2 - 145*z**2 + 2715*z. Factor a(x).
-(x + 1)*(x + 290)
Let s(a) = 4*a**2 - 418*a + 1992. Let k be s(5). Factor -2/7*i**3 + 12/7*i**k + 0 + 0*i.
-2*i**2*(i - 6)/7
Let o(h) be the second derivative of h**5/24 - 5*h**4/24 + 5*h**3/18 - 633*h. Factor o(w).
5*w*(w - 2)*(w - 1)/6
Let a(x) be the third derivative of -x**5/15 + 37*x**4/6 + 52*x**3 + 4029*x**2. Factor a(d).
-4*(d - 39)*(d + 2)
Let s(l) = -15*l**2 - 65*l + 15. Let q(p) = -14*p**2 - 65*p + 12. Let j(b) = 7*q(b) - 6*s(b). Let v be j(-8). Solve 4/5*n**v + 2*n**3 - 4/5 - 2*n = 0 for n.
-1, -2/5, 1
Factor 1/2*l**2 - 34 + 67/2*l.
(l - 1)*(l + 68)/2
Let s(m) = -4*m**2 + 62*m - 69. Let n(u) = u**2 - 15*u + 17. Suppose 165 - 971 = -31*b. Let k(g) = b*n(g) + 6*s(g). Factor k(o).
2*(o - 7)*(o - 2)
Let p(b) be the second derivative of -11*b + 0*b**2 + 0 + 3/2*b**5 - 26/15*b**6 + 13/3*b**4 - 1/3*b**7 - 8/3*b**3. Solve p(k) = 0.
-4, -1, 0, 2/7, 1
Let z(b) be the second derivative of -b**5/5 - 41*b**4/3 - 406*b**3/3 + 490*b**2 + 692*b. Factor z(y).
-4*(y - 1)*(y + 7)*(y + 35)
Factor 1/4*l**2 + 5/4*l + 0.
l*(l + 5)/4
Suppose -6*v = -v - 15. Let c be (-638)/(-715) - (-14 - 2492/(-182)). Factor 0*o - 4/5*o**v - 2/15*o**4 + 0 - c*o**2.
-2*o**2*(o + 3)**2/15
Let a be (6*2/(-10))/((-15)/100). Suppose 5*g - a - 7 = 0. Solve 23*s**2 - 4*s**3 - 27*s - g*s**2 + 2*s - 3*s + 12 = 0.
1, 3
Let d(h) be the first derivative of 173 - 31/8*h**2 + 7/12*h**3 - 5*h. Solve d(g) = 0.
-4/7, 5
Let j(u) = -4*u**2 + 4488*u + 410692. Let b(f) = 2*f**2 - 1498*f - 136897. Let c(y) = -8*b(y) - 3*j(y). Factor c(d).
-4*(d + 185)**2
Determine i so that 12*i**3 + 394*i**4 - 778*i**4 - 12*i**2 - 6*i**2 - 3*i**5 + 390*i**4 + 3*i**3 = 0.
-2, 0, 1, 3
Let p(w) = 533*w - 52231. Let x be p(98). Let 0 - 26/9*v**x + 8/3*v**2 + 4/3*v**4 - 2/9*v**5 - 8/9*v = 0. What is v?
0, 1, 2
Suppose 2 + 10 = -4*n. Let t be ((-3)/(-3))/((-1)/n). Let -1 + r - r**2 + t + 0 = 0. What is r?
-1, 2
Suppose 23*j = 28*j - 15. Suppose 0 = y + j, -3*z + 2*y + 27 - 6 = 0. Factor z - 9*b + 1 + 3213*b**2 - 3210*b**2.
3*(b - 2)*(b - 1)
Let c be (3174/20)/((-45)/180). Let z = c - -635. Suppose