he third derivative of -2/35*h**7 + 1/2*h**4 + 0 + 76*h**2 + 1/2*h**3 + 0*h + 3/20*h**5 - 1/10*h**6. Find k such that i(k) = 0.
-1, -1/2, 1
Suppose 0 = 8*t - 3*t + b - 70, 3*b + 15 = 0. Factor -13 - 33*w + 3 - t*w**2 + 5 - 1.
-3*(w + 2)*(5*w + 1)
Factor 403/5*m - 1/5*m**2 + 2454/5.
-(m - 409)*(m + 6)/5
Let b(d) be the second derivative of d**7/21 - 13*d**6/72 + d**5/12 + 5*d**4/8 + 29*d**3/6 - d - 50. Let z(u) be the second derivative of b(u). Factor z(o).
5*(o - 1)**2*(8*o + 3)
Find a such that 163*a - 3*a**4 + 153*a**3 - 49*a - 15*a**5 + 1853153*a**2 - 1852898*a**2 = 0.
-2, -1, 0, 19/5
Suppose 6608*d**2 + 479808/5*d + 87808 - 4/5*d**5 + 312/5*d**4 - 7412/5*d**3 = 0. What is d?
-5, -1, 28
What is k in -2542/9*k**2 + 2/9*k**3 + 89888 + 268816/3*k = 0?
-1, 636
Let d be 12 + (480/(-8))/5. Let b(o) be the first derivative of 1/5*o**2 + d*o - 2/15*o**3 + 22. What is x in b(x) = 0?
0, 1
Let p be -9 + 1313/143 + (-18)/(-33). Factor -2/11*v**2 - p*v**3 + 0*v - 6/11*v**4 + 0.
-2*v**2*(v + 1)*(3*v + 1)/11
Let v be (-13 + 672)/(3 + -4 + 2). Let w = v + -3292/5. Factor 0 + 0*x + w*x**5 - 1/5*x**3 + 0*x**2 + 2/5*x**4.
x**3*(x + 1)*(3*x - 1)/5
Let c(d) be the first derivative of 7*d**3/3 - d**2 - 27*d - 2. Let z(o) = 6*o**2 - 26. Let n(v) = 2*c(v) - 3*z(v). Let n(i) = 0. What is i?
-3, 2
Let p(z) be the third derivative of z**7/280 - 67*z**6/160 - 21*z**5/8 - 4*z**2 - 42. Find w such that p(w) = 0.
-3, 0, 70
Suppose 240 - 792 = -276*b. Determine t so that 81/4*t + 27/4*t**b + 3/4*t**3 + 81/4 = 0.
-3
Find q, given that -59/5*q + 1/5*q**2 + 114/5 = 0.
2, 57
Let o(u) be the third derivative of 0 + 891/5*u**5 - 72*u**2 + 2187/2*u**3 - 1/96*u**8 + 127/210*u**7 - 17253/16*u**4 - 579/40*u**6 + 0*u. Factor o(l).
-(l - 9)**4*(7*l - 2)/2
Let x be (-168)/63*(-2)/8. Let q(p) be the second derivative of 0*p**2 + p**4 + 4/9*p**3 + 0 + x*p**5 + 13*p + 2/15*p**6. Let q(s) = 0. Calculate s.
-2, -1, -1/3, 0
Let g(p) be the first derivative of 3*p**4/4 - 11*p**3 - 3*p**2/2 + 33*p - 1330. Let g(f) = 0. Calculate f.
-1, 1, 11
Suppose -4*s - 55 = -3*j, 0 = 3*s + s + 4. Let a(c) = -c + 35. Let p be a(j). Factor -r**5 - 7*r**4 - 24*r**2 + p*r - r**4 - 27*r - 22*r**3.
-r*(r + 1)**2*(r + 3)**2
Suppose 16*o + 25 - 1625 = 0. Factor b**3 - 101*b - o*b - 12*b**2 + 4*b**2 + 217*b.
b*(b - 4)**2
Let z(k) = -k**2 - 6*k - 8. Let g be z(-3). Let a be 3 - (0 + (g + 2)/3). Factor -8*l**a + 12*l**3 + 11*l**4 - 27*l**4 + 5*l**4 + 7*l**4.
-4*l**2*(l - 2)*(l - 1)
Let f be ((-6)/3)/(-2 + 1). Suppose -27 = 27*l - 216. Factor -40*m + 46*m**2 + l + 34*m**f + 20*m**2 - 3.
4*(5*m - 1)**2
Find f, given that -1/4*f**4 - 256 - 288*f - 25*f**2 + 27/4*f**3 = 0.
-4, -1, 16
Let b = -252413/3 + 2539637/30. Let f = b - 515. Suppose 4*p**2 - f*p**3 + 0 - 2/5*p = 0. Calculate p.
0, 2/19, 2
Let z(w) be the first derivative of -5*w**4/12 + 115*w**3 - 23805*w**2/2 - 4*w + 125. Let i(q) be the first derivative of z(q). Factor i(k).
-5*(k - 69)**2
Factor -700/3 - 55*l - 5/3*l**2.
-5*(l + 5)*(l + 28)/3
Let x(t) be the third derivative of 11*t**7/42 + 205*t**6/24 - 19*t**5/3 + 691*t**2. Factor x(n).
5*n**2*(n + 19)*(11*n - 4)
Let n be (-17)/612*(-30)/4*1. Let h(a) be the third derivative of 0 - 1/6*a**6 + 0*a + 0*a**3 + 16*a**2 - n*a**4 + 5/12*a**5. Let h(u) = 0. What is u?
0, 1/4, 1
Let u(v) be the first derivative of -4*v**3/3 + 46*v**2 + 840*v - 827. Let u(i) = 0. What is i?
-7, 30
Find b such that 9/2*b - 45/8*b**2 + 0 + b**3 + 1/8*b**4 = 0.
-12, 0, 1, 3
Let q(g) = -g**2 + 1110*g - 308013. Let t be q(552). Find l such that -265/3*l - 100/3*l**2 - 5/3*l**t - 170/3 = 0.
-17, -2, -1
Let x(r) be the first derivative of -r**6/480 - r**5/80 + r**4/24 - 12*r**2 - 10. Let w(n) be the second derivative of x(n). Let w(o) = 0. What is o?
-4, 0, 1
Let l(u) = -u**2 + 4*u + 3. Let i(k) = 617*k**2 + 387*k - 16. Let v(r) = -i(r) - 2*l(r). Factor v(d).
-5*(3*d + 2)*(41*d - 1)
Suppose v - 5 = u, 0 = 5*u - 8 + 3. Factor 62*m + 4*m**4 - 68*m - v*m**3 + 5*m**2 - 21*m**2.
2*m*(m - 3)*(m + 1)*(2*m + 1)
Let j be (400/20)/(-5) + 1 + 0 - (-27)/6. Factor -3/2*f**2 + 11/4*f - j + 1/4*f**3.
(f - 3)*(f - 2)*(f - 1)/4
Let v(l) = l**3 + 3*l**2 - 7*l + 4. Let b be v(3). Suppose 3*y - 90 = 4*i + b, 6 = 3*i. Factor 11 - y*j + 29*j + 4*j**2 + 5.
4*(j - 2)**2
Let b(k) = -4*k**3 + 22*k**2 - 71*k - 181. Let o(j) = 9*j**3 - 45*j**2 + 143*j + 349. Let t(m) = 7*b(m) + 3*o(m). Factor t(q).
-(q - 11)*(q - 10)*(q + 2)
Factor -62*s**3 - 123*s**2 - 735*s + 65*s**3 - 1123 - 2702 - 720*s.
3*(s - 51)*(s + 5)**2
Let v(x) = -12*x - 117. Let d(m) = m**3 + 2*m**2 - 32*m + 11. Let q be d(-7). Let w be v(q). Factor 3/2*s**w + 0*s + 0 + 3/2*s**2.
3*s**2*(s + 1)/2
Let d(w) = 11*w**2 - 164*w + 2352. Let y(c) = c**2 + 9*c - 1. Let u be y(-8). Let j(b) = -24*b**2 + 327*b - 4704. Let x(t) = u*d(t) - 4*j(t). Factor x(i).
-3*(i - 28)**2
Suppose -375/2*z - 281/6 - 2/3*z**2 = 0. What is z?
-281, -1/4
Let p(s) be the first derivative of 9*s**8/448 - 2*s**7/35 + s**6/32 + s**5/40 + 14*s**2 - 87. Let y(w) be the second derivative of p(w). Factor y(a).
3*a**2*(a - 1)**2*(9*a + 2)/4
Let k(t) be the third derivative of -2/3*t**4 + 0*t**3 + 115*t**2 + 0*t - 1/60*t**6 + 0 + 1/5*t**5. Factor k(y).
-2*y*(y - 4)*(y - 2)
Let p = 1168 - 1014. Determine x so that -25*x**2 + 56*x**2 + 5929 - 9*x**2 + p*x - 21*x**2 = 0.
-77
Solve -2/13*o**5 - 55292/13*o**3 + 1823620/13*o**2 + 1714750/13 + 574/13*o**4 - 3483650/13*o = 0 for o.
1, 95
Let a(m) be the first derivative of -3*m**6/16 + 7*m**5/8 + 31*m**4/32 - 53*m**3/8 - 9*m**2/8 - 6136. Let a(v) = 0. What is v?
-2, -1/9, 0, 3
Let i(c) be the third derivative of -c**8/11200 - c**7/1400 + c**5/50 + c**4/6 - c**3 + 47*c**2. Let n(b) be the second derivative of i(b). Factor n(r).
-3*(r - 1)*(r + 2)**2/5
Let p = -19/14 - -243/112. Let f(b) be the first derivative of -1/8*b - 63/32*b**4 - 17/8*b**3 + 19 - p*b**2. Factor f(y).
-(3*y + 1)**2*(7*y + 1)/8
Let r be (-1768)/(-832) - (-1)/(-8). Solve -8/15 + 6/5*t**r + 32/15*t = 0 for t.
-2, 2/9
Let q = -25319 - -25322. Let f(c) be the third derivative of -1/3*c**q + 1/40*c**4 + 0*c + 23*c**2 + 0 + 1/300*c**5. Let f(l) = 0. Calculate l.
-5, 2
Suppose 51*u - 59*u = 48. Let c be (u/(-4))/(153/12). Factor 30/17*w + 14/17*w**2 + 18/17 + c*w**3.
2*(w + 1)*(w + 3)**2/17
Let b(t) = 23 - 17 - 15 - 8*t**2 + 20*t - 9. Let y(s) = -s**2 + 2*s - 1. Let u(j) = 2*b(j) - 20*y(j). Find m, given that u(m) = 0.
-2, 2
Factor -41*g**2 + 0 + 3/2*g.
-g*(82*g - 3)/2
Suppose -3*h + h = -5*k + 2, -22 = -4*h - 3*k. Let q = 7833/88 + -975/11. Solve q*y**h + 7/4*y**3 + 0 + 13/8*y**2 - 3/4*y = 0.
-3, -2, 0, 1/3
Let f(j) = 7*j - 152. Let p be f(22). Let o be ((-448)/196 - 0)/((-20)/14). Factor -o*q - 1/5*q**p + 0.
-q*(q + 8)/5
Let h(q) = -q**2 + 3*q + 3. Let p be h(3). Find l, given that -254*l**2 - 1 + 12*l + 12*l**p + 0*l**4 - 2 + 236*l**2 - 3*l**4 = 0.
1
Let d(f) be the second derivative of -f**5/50 + 24*f**4/5 - 1863*f**3/5 + 28566*f**2/5 + f + 134. Factor d(k).
-2*(k - 69)**2*(k - 6)/5
Factor -1/11*y**4 + 27/11*y - 5*y**2 + 29/11*y**3 + 0.
-y*(y - 27)*(y - 1)**2/11
Let s(i) be the second derivative of i**7/3024 - i**6/432 - i**5/48 + 9*i**4/2 - 24*i. Let w(l) be the third derivative of s(l). Factor w(g).
5*(g - 3)*(g + 1)/6
Suppose -3*q + 9 = 3*p, 4*p = 6*p - 5*q + 1. Let u(x) be the second derivative of -15*x - 1/40*x**5 - 1/6*x**3 + 5/48*x**4 + 1/8*x**p + 0. Factor u(m).
-(m - 1)**2*(2*m - 1)/4
Let k(w) = 8*w**2 + 480*w + 968. Let i(r) = 15*r**2 + 964*r + 1938. Let a(x) = -4*i(x) + 7*k(x). Factor a(m).
-4*(m + 2)*(m + 122)
Let m(l) = 13*l**2 - 107*l + 519. Let y(v) = -2*v**2 + 18*v - 91. Let f(s) = -3*m(s) - 17*y(s). Factor f(o).
-5*(o - 2)*(o - 1)
Suppose 5*k - 2*f = -218 - 245, f + 451 = -5*k. Let d be k/21 + 15/3. Factor -8/3 - d*p**3 + 8/3*p + 2/3*p**2.
-2*(p - 2)*(p - 1)*(p + 2)/3
Let l be (-2406)/25*420/(-56). Let a = 722 - l. Determine v so that -4/5 - a*v**2 + 4/5*v = 0.
2
Let r be (-10)/(7/126*-45). Factor 0 - r*z - 1/3*z**2.
-z*(z + 12)/3
Suppose 11555/4*q + 2885/2*q**2 + 1445 - 5/4*q**3 = 0. What is q?
-1, 1156
Solve 0 - 25/3*i + 95/6*i**2 + 1/6*i**5 - 7/6*i**4 - 13/2*i**3 = 0 for i.
-5, 0, 1, 10
Let u be 79/9 + 2 + 80/(-45). Suppose -12*l + u = -15. Factor -t**3 - 11*t - 2*t - 5*t**3 + l + 20*t**2 - 3*t**3.
-(t - 1)**2*(9