r k.
-8, -1, 0, 1
Let h(q) = 5*q**3 + 80*q**2 - 161*q - 41. Let d(m) = 5*m**3 + 82*m**2 - 165*m - 40. Let n(a) = 3*d(a) - 2*h(a). Find v, given that n(v) = 0.
-19, -1/5, 2
Let a(n) = -n**5 - 10*n**4 - 6*n + 6. Let m = -236 + 151. Let c(u) = -15*u**5 - 140*u**4 - 85*u + 85. Let y(f) = m*a(f) + 6*c(f). Factor y(z).
-5*z**4*(z - 2)
Let r(k) be the second derivative of k**7/735 + k**6/1260 - 13*k**5/420 - 5*k**4/42 + 77*k**3/6 - 32*k. Let t(z) be the second derivative of r(z). Factor t(u).
2*(u - 2)*(u + 1)*(4*u + 5)/7
Let s = 1402 - 1402. Let m(i) be the third derivative of 22*i**2 + 1/36*i**4 - 1/720*i**6 + 1/9*i**3 + s - 1/360*i**5 + 0*i. Factor m(l).
-(l - 2)*(l + 1)*(l + 2)/6
Let c(p) = 2*p**2 + 3*p + 1. Let h(n) = -22*n**2 + 1146*n + 178. Let u(v) = 2*c(v) - h(v). Determine t, given that u(t) = 0.
-2/13, 44
Let o(h) be the third derivative of h**2 + 13/180*h**5 + 0 - 55*h - 1/18*h**4 + 1/90*h**7 - 1/24*h**6 + 0*h**3 - 1/1008*h**8. Factor o(c).
-c*(c - 4)*(c - 1)**3/3
Let d be (-1005)/(-1150) - (-12)/15. Let i = 50/23 - d. Suppose -1/6*a**3 + i*a**2 + 1/6 - 1/2*a = 0. Calculate a.
1
Let y(p) be the first derivative of p**4/78 + 8*p**3/39 + 12*p**2/13 + 69*p + 6. Let t(n) be the first derivative of y(n). Factor t(b).
2*(b + 2)*(b + 6)/13
Let o(r) be the third derivative of -r**6/360 + 779*r**5/60 - 606841*r**4/24 + 472729139*r**3/18 + 483*r**2 - 3. Factor o(s).
-(s - 779)**3/3
Let f = 30/5129 - 2010838/46161. Let s = f + 787/18. What is m in s*m**5 + 5/6*m + 5/3*m**2 + 5/3*m**3 + 5/6*m**4 + 1/6 = 0?
-1
Let v be -10*246*2/(-9). Let x = v - 546. Let 2/3*t**2 + 0 - x*t = 0. What is t?
0, 1
Let b(q) = -45*q**2 + 2280*q - 216613. Let a(m) = 7*m**2 - 380*m + 36102. Let h(k) = -65*a(k) - 10*b(k). Factor h(n).
-5*(n - 190)**2
Let u(c) be the third derivative of -150*c**4 - 540*c**5 - 1215*c**6 - 33*c**2 - 98415/112*c**8 - 3*c - 10935/7*c**7 - 80/3*c**3 + 0. Factor u(k).
-5*(9*k + 2)**5
Let z = -105 + 60. Let h = 55 + z. Factor h - 17 - 4*n**3 + 2*n**4 + 7.
2*n**3*(n - 2)
Let q(j) be the second derivative of j**5/110 - 250*j**4/33 + 332*j**3/11 - j - 866. Determine r, given that q(r) = 0.
0, 2, 498
Suppose 4*y - 15 = -11*y. Suppose 11 - 9 - 4*o**2 - 16*o + y + 9 + 8 = 0. Calculate o.
-5, 1
Let q = -239 + 345. Let i be (3/9)/((-6)/(-36)). Factor 53*n**4 - 153*n**4 + 26*n**3 - q*n**3 - 16*n**i.
-4*n**2*(5*n + 2)**2
Let m(o) be the first derivative of 2*o**3/15 + 2546*o**2/5 + 3241058*o/5 - 1237. What is r in m(r) = 0?
-1273
Let h(i) be the first derivative of -13/7*i + 110 + 1/28*i**4 - 1/14*i**2 + 13/21*i**3. Find a, given that h(a) = 0.
-13, -1, 1
Suppose -15*k**2 + 8*k**4 - 792*k - 540 + 53*k**5 + 230*k**3 - 50*k**5 - 41*k**3 - 53*k**4 = 0. What is k?
-1, 5, 6
Let l(h) be the third derivative of -2*h**5/15 + 169*h**4/24 - 30*h**3 + 2*h**2 - 132*h - 6. Factor l(w).
-(w - 20)*(8*w - 9)
Let d = 182711/48724 - -1/12181. Let v(w) be the first derivative of -7 - d*w**4 + 25/3*w**3 - 20*w + 15/2*w**2 - w**5. Solve v(q) = 0 for q.
-4, -1, 1
Suppose -2*c + 623 - 633 = -2*d, 0 = 4*c - 3*d + 13. Find s, given that 33/2*s**4 - 3/2*s**5 + 60*s - 72 - 117/2*s**3 + 111/2*s**c = 0.
-1, 1, 3, 4
Suppose 6*v + 305 = 341. Let y(h) = 9*h**2 - 127*h + 76. Let o(j) = 100*j**2 - 1395*j + 835. Let q(p) = v*o(p) - 65*y(p). Factor q(m).
5*(m - 7)*(3*m - 2)
Factor -4/3*p - 240 + 2/3*p**2.
2*(p - 20)*(p + 18)/3
Let x = -304571 + 1522897/5. What is s in 99/5*s**3 + 192/5*s - x*s**4 + 3/5*s**5 + 336/5*s**2 + 0 = 0?
-1, 0, 8
Let j(y) be the second derivative of 23/90*y**5 - 4 - 6*y + 0*y**2 + 121/27*y**3 + 143/54*y**4 + 1/135*y**6. Suppose j(u) = 0. What is u?
-11, -1, 0
Factor 1/4*k**3 + 57/4*k**2 - 1/4*k - 57/4.
(k - 1)*(k + 1)*(k + 57)/4
Factor -46/13*s + 44/13 + 2/13*s**2.
2*(s - 22)*(s - 1)/13
Factor -100/3 + 120*r - 48*r**3 - 244/3*r**2 - 16/3*r**4.
-4*(r + 5)**2*(2*r - 1)**2/3
Let k(r) = -41*r - 695. Let w be k(-17). Let i(m) be the first derivative of 0*m**w + 1/5*m**5 + 17 + 5/18*m**6 + 0*m**3 - 1/6*m**4 + 0*m. Solve i(n) = 0 for n.
-1, 0, 2/5
Let f(i) = i**2 - 1. Let l = 41 - 37. Suppose -l = -2*u, -z + 1 + 10 = 5*u. Let b(x) = 3*x**2 - 3*x - 6. Let o(v) = z*b(v) - 6*f(v). Factor o(p).
-3*p*(p + 1)
Let f = 434588 - 1303760/3. Factor 8*u - f*u**2 + 36.
-4*(u - 9)*(u + 3)/3
Let s(y) = -45*y + 3. Let t be s(0). Factor 0*n - 6*n + 6 + 5 + 2*n**t - 7.
2*(n - 1)**2*(n + 2)
Let v = -12 + 0. Let m(j) = -j**2 - 13*j - 9. Let i be m(v). Determine g so that -2*g + 3*g**4 + g**i + 74 - 74 + g**5 - 3*g**2 = 0.
-2, -1, 0, 1
Let y be (-4116)/(-392) - (-3)/(-2). Let p(n) be the second derivative of 0*n**3 + 1/45*n**5 + 0*n**2 + 0 - y*n + 1/27*n**4. Factor p(t).
4*t**2*(t + 1)/9
Let h be 1020/35 - 558/(-651). Determine w so that 25/2*w**4 + h*w**3 - 5*w**5 + 0*w**2 + 0 + 0*w = 0.
-3/2, 0, 4
Let c(t) be the second derivative of t**5/45 + 86*t**4/27 + 656*t**3/27 - 6*t - 765. Solve c(j) = 0.
-82, -4, 0
Let s(w) be the second derivative of -w**7/84 + 3*w**6/10 - 33*w**5/40 + 2*w**4/3 - 2595*w. Let s(y) = 0. Calculate y.
0, 1, 16
Solve 203/2*c**2 + 22*c**3 + 158*c + 1/2*c**4 + 78 = 0 for c.
-39, -2, -1
Let x(g) be the second derivative of -g**6/360 - 7*g**5/240 - g**4/36 + g**3/6 - 232*g + 2. Factor x(l).
-l*(l - 1)*(l + 2)*(l + 6)/12
Suppose -3*g + 12 = -5*g. Let m(w) = -2*w**2 - 16*w - 6. Let f(r) = 6 + 0 - 7. Let t(q) = g*f(q) + m(q). Factor t(o).
-2*o*(o + 8)
Let t(w) = -6*w**2 - 6*w + 27. Let r(p) be the third derivative of 11*p**5/60 + 5*p**4/12 - 9*p**3 - 28*p**2 - 4*p. Let i(c) = -3*r(c) - 5*t(c). Factor i(s).
-3*(s - 3)*(s + 3)
Let o(q) be the second derivative of -20*q**4/3 - 6*q**3 + 22*q**2 + 58*q - 12. Find s, given that o(s) = 0.
-1, 11/20
Let f be (39/(-52))/(12 + 7014/(-560)). Solve 8/7*j - 2/7*j**4 + 12/7*j**2 - 8/7*j**3 - f = 0.
-5, -1, 1
Let s(l) be the third derivative of l**6/2880 - l**4/192 + 7*l**3/3 - 61*l**2. Let r(j) be the first derivative of s(j). Factor r(b).
(b - 1)*(b + 1)/8
Let l(t) be the first derivative of 3*t**5/10 - 5*t**4/6 + t**3/3 + t**2 - 53*t - 58. Let o(z) be the first derivative of l(z). What is n in o(n) = 0?
-1/3, 1
Let u be (-20)/(-21) + ((-2)/(-28) - (-93)/(-126)). Factor -1/7*b + u - 1/7*b**2.
-(b - 1)*(b + 2)/7
Let c = -206 + 208. Let k(l) = -2*l**2 + 6*l + 2. Let q(v) = 3*v**2 - 13*v - 5. Let d(b) = c*q(b) + 5*k(b). Factor d(h).
-4*h*(h - 1)
Let l(t) = -6*t - 81. Let i be l(-14). Determine j so that -4*j**2 + 20*j**4 + 7*j + j**5 - 16 - 27*j - 12*j + 28*j**3 + i*j**5 = 0.
-2, -1, 1
Let j(p) be the second derivative of -p**5/24 + 25*p**4/18 + 65*p**3/9 - 220*p**2/3 - 1180*p. Factor j(h).
-5*(h - 22)*(h - 2)*(h + 4)/6
Let v(q) be the first derivative of -q**4/2 + 5492*q**3/3 - 1885129*q**2 - 349. Solve v(z) = 0.
0, 1373
Let g(l) be the second derivative of -21*l**5/20 - 3*l**4 + 2*l**3 - 1290*l. Factor g(n).
-3*n*(n + 2)*(7*n - 2)
Suppose 0 = 81*m - 77*m. Let o be 20/6 - m - (-18)/27. Factor b**5 - 26*b**3 + 4*b**5 + 5*b**o - 3*b**2 + 18*b**2 + b**3.
5*b**2*(b - 1)**2*(b + 3)
Suppose -5*h = -2*h - 9. Suppose -5*l + h*s + 0*s = -7, 15 = 5*l + 5*s. Find q such that -2*q**2 - q**l - 236 + 221 - 18*q = 0.
-5, -1
Suppose -y = -4*z + 30, 2*z + 18*y = 17*y + 12. Suppose 4 + 2*p + z*p**3 + 3*p**2 + 3*p**4 + 2*p**4 - 3*p**5 - 12*p**2 + 9*p - 15*p = 0. Calculate p.
-1, 2/3, 1, 2
Factor 1/4*i**4 - 6*i + 1/2*i**3 - 23/4*i**2 + 36.
(i - 3)**2*(i + 4)**2/4
Let -230175/4*v - 3/4*v**3 - 233523/2 + 417*v**2 = 0. What is v?
-2, 279
Let p(l) = 18*l**2 - 3*l - 12. Let d be p(-2). Let c be d/30 + (-12)/20. Solve 8/5*n + 0 - 2/5*n**3 + 2/5*n**4 - c*n**2 = 0 for n.
-2, 0, 1, 2
Let p = 205 - 199. Suppose -7*m = -10*m + p. Let 2/17*q**3 - 4/17*q + 2/17*q**m + 0 = 0. Calculate q.
-2, 0, 1
Suppose l - 5*c - 18 = -l, 3*l - 3*c = 18. Let s = l + -2. Factor -o**4 + 2*o**2 + s*o**4 - 4*o**3 + 6*o - 2*o - 3*o**4.
-2*o*(o - 1)*(o + 1)*(o + 2)
Let g(y) = 49*y - 2 + 5 - 25 - 47*y - 12. Let a be g(17). What is h in a + 1/2*h + 1/4*h**2 = 0?
-2, 0
Let t = 983 + -880. Suppose 5 = 5*w - 3*x - 0*x, 4*x = 5*w. Determine i so that -t + 50*i**3 + 2*i**4 - 32 + 270*i - 200*i**2 - 7*i**w + 20*i**2 = 0.
1, 3
Let 131*q + 187*q - 4*q**2 - 34*q = 0. What is q?
0, 71
Let q(h) = 92*h - 730. Let u be q(8). Let g(n) be the second derivative of 10/3*n**3 - n**4 - 2/15*n**u + 8*n**2 + n + 0 - n