 5*k**2 + 0*k**3 - 1/18*k**5 + 0*k - 1/9*k**4 - 1/180*k**6. Let b(i) be the second derivative of d(i). Factor b(q).
-2*q*(q + 1)*(q + 4)/3
Let k(r) be the second derivative of 2*r**7/3 - 248*r**6/15 - 64*r**5/5 + 496*r**4/3 + 96*r**3 - r + 368. Let k(x) = 0. What is x?
-2, -2/7, 0, 2, 18
Let c(d) be the third derivative of d**5/12 - 415*d**4/24 - 70*d**3 - 1890*d**2. Find l such that c(l) = 0.
-1, 84
Factor -4/5*p + 4/5*p**3 - 236/5 + 236/5*p**2.
4*(p - 1)*(p + 1)*(p + 59)/5
Let d be -15*((-4)/(-5) - 1). Factor -7*l**d - 5*l**4 - 325*l**2 + 333*l**2 + l**3.
-l**2*(l + 2)*(5*l - 4)
Suppose 1100 = -77*q + 88*q. Let c = q - 98. Factor 50/9 + 2/9*n**c + 20/9*n.
2*(n + 5)**2/9
Let n(z) be the second derivative of -z**4/3 + 404*z**3/3 - 20402*z**2 - 115*z. Factor n(r).
-4*(r - 101)**2
Solve 66 + 7/3*l - 1/3*l**2 = 0.
-11, 18
Let o = -241/513 - -5123/8721. Factor -12/17*s**2 + 0*s - o*s**4 - 14/17*s**3 + 0.
-2*s**2*(s + 1)*(s + 6)/17
Let t(g) be the third derivative of g**5/15 + 23*g**4/3 + 1253*g**2. Factor t(c).
4*c*(c + 46)
Let z(k) be the second derivative of -19*k + 4/27*k**3 + 0 + 1/135*k**6 + 1/18*k**4 - 2/45*k**5 - 4/9*k**2. What is r in z(r) = 0?
-1, 1, 2
Let q(b) be the third derivative of -3 + 0*b + 7/12*b**4 - 49/240*b**5 + 1/120*b**7 - 2*b**2 - 1/2*b**3 - 1/240*b**6. Solve q(v) = 0.
-3, 2/7, 1, 2
Let p be (1 + 147)*1/6*-1. Let a = 167/6 + p. Factor -2/3 + a*n**2 + 0*n - 1/2*n**4 - 17/6*n**3 + 5/6*n**5.
(n - 1)**3*(n + 2)*(5*n + 2)/6
Factor 11/3*u**2 + 4/3*u**3 - 2/3 + 5/3*u.
(u + 1)*(u + 2)*(4*u - 1)/3
Let z(g) be the second derivative of g**6/120 + 3*g**5/4 + 7*g**4 + 47*g**3/6 + g**2/2 - 162*g + 2. Let w(s) be the second derivative of z(s). Factor w(m).
3*(m + 2)*(m + 28)
Suppose -2*t + 2 = -0. Let d be (-29)/(-3) + 1/3 + t. Factor -182*n + d + 186*n - 4*n**2 - 3.
-4*(n - 2)*(n + 1)
Let j(k) be the first derivative of -5*k**3/6 + 105*k**2/2 - 585*k/2 + 6992. Factor j(y).
-5*(y - 39)*(y - 3)/2
Let n(p) be the first derivative of -16*p**5/25 - 14257*p**4/5 - 22586256*p**3/5 - 2684376288*p**2 - 6706706688*p/5 + 3682. Suppose n(r) = 0. What is r?
-1188, -1/4
Let c(k) be the first derivative of -4*k**5/5 + 42*k**4 + 556*k**3/3 - 360*k**2 - 2068. Factor c(g).
-4*g*(g - 45)*(g - 1)*(g + 4)
Factor -88*j**2 + 33/4*j**3 - 1/4*j**4 - 256 + 336*j.
-(j - 16)*(j - 8)**2*(j - 1)/4
Find y, given that -30 + 13 + 8*y**2 - 238*y + 19 - 29 - 33 = 0.
-1/4, 30
Let q = 591 + -591. Let l(s) be the third derivative of 1/12*s**4 - 2*s**2 - 1/60*s**6 + 0 + q*s + 0*s**3 + 0*s**5. Find n, given that l(n) = 0.
-1, 0, 1
Let i(c) = -c**3 - 12*c**2 - 9*c + 25. Let a be i(-11). Suppose -2*l - t + 1 + 6 = 0, 2*t = a*l. Factor 25*p**l - 2*p**3 - 17*p - 5*p**3 + 82*p + 2*p**3 + 35.
-5*(p - 7)*(p + 1)**2
Let p(k) = -359*k**3 + 82*k**2 + 156*k - 84. Let v(r) = -r**3 + 18*r**2 + 3. Let n(w) = -p(w) - 4*v(w). Factor n(l).
(3*l + 2)*(11*l - 6)**2
Let a be (-4)/8*(13 + -6 + -7). Let l(r) be the third derivative of a*r**3 + 1/96*r**6 + 0 + r**2 + 0*r + 1/48*r**5 + 0*r**4. Factor l(z).
5*z**2*(z + 1)/4
Find w such that -5*w**3 + 1 + 22*w + 79*w**2 - 6*w - 1 - 68*w**2 = 0.
-1, 0, 16/5
Let l(x) = -9*x**3 - 65*x**2 + 379*x - 310. Let h(t) = 8*t**3 + 64*t**2 - 380*t + 312. Let s(n) = -5*h(n) - 4*l(n). Factor s(i).
-4*(i - 4)*(i - 1)*(i + 20)
Let i be (17/((-816)/(-384)) - (-12 - 0))/34. Factor 2/17*d**2 + 12/17*d + i.
2*(d + 1)*(d + 5)/17
Let q(r) = 2*r**2 - 41*r - 7. Let t(c) be the first derivative of -c**3/3 + 21*c**2/2 + 3*c - 122. Let w(b) = -6*q(b) - 14*t(b). Solve w(p) = 0 for p.
0, 24
Suppose -49*c + 4133 + 7627 = 0. Suppose 3883*z**2 - c*z + 3866*z**2 - 7825*z**2 - 128 - 6*z**3 = 0. What is z?
-8, -4, -2/3
Let x(z) = -54*z**4 - 77*z**3 - 154*z**2 - 115*z + 475. Let p(n) = -13*n**4 - 19*n**3 - 39*n**2 - 29*n + 118. Let h(g) = -25*p(g) + 6*x(g). Factor h(f).
(f - 1)*(f + 4)*(f + 5)**2
Let q(m) be the first derivative of m**5 + 5/3*m**6 + 0*m + 10*m**2 - 26 - 45/4*m**4 - 20/3*m**3. Find w such that q(w) = 0.
-2, -1, 0, 1/2, 2
Suppose -7*q**5 - 67 - 248*q**4 + 2*q**5 + 255 - 188 - 3025*q**3 + 1250*q**2 = 0. What is q?
-25, 0, 2/5
Let s be (-1288)/672 - (7 - 9). Let n(k) be the second derivative of -1/40*k**5 + 1/30*k**6 + 0 - 6*k - s*k**4 + 0*k**2 + 0*k**3 + 1/84*k**7. Factor n(p).
p**2*(p - 1)*(p + 1)*(p + 2)/2
Let z(n) be the third derivative of n**5/60 - 85*n**4/12 + 169*n**3/6 + 16*n**2 - 3*n. Solve z(y) = 0.
1, 169
Let g(m) = -14*m**2 - 6626*m - 2702741. Let v(q) = -22*q**2 - 9944*q - 4054112. Let c(b) = 8*g(b) - 5*v(b). Factor c(z).
-2*(z + 822)**2
Let f(z) = 3*z**2 - 19*z - 4. Suppose 5*r = 5, -q + 11*r - 6*r - 3 = 0. Let y(k) = -10*k**2 + 58*k + 14. Let x(n) = q*y(n) + 7*f(n). Solve x(o) = 0 for o.
0, 17
Let f(q) = -q**5 - q**4 - q**3 - q. Let r(i) = -41*i**5 + 201*i**4 - 220*i**3 - 24*i**2 + 84*i + 16. Let z(y) = 4*f(y) + r(y). Find h such that z(h) = 0.
-2/5, -2/9, 1, 2
Factor -24 + 2044 + 659*b - 1144*b - 5*b**2.
-5*(b - 4)*(b + 101)
Suppose 90 = 7*c + 6. Suppose c*h - 55 + 7 = 0. Factor 3*w**h + 15*w**3 - 12 + w**5 + 589*w - 613*w - 4*w**5 - 3*w**2.
-3*(w - 2)**2*(w + 1)**3
Let c be (-1 - -2)/1*2. Let d = -425 + 434. Factor -d*w**2 - 39*w + 13 + 4*w**c - 22 - 7*w**2.
-3*(w + 3)*(4*w + 1)
Factor -5*g**2 - 4163 + 4283 + 18*g - 133*g.
-5*(g - 1)*(g + 24)
Suppose 21/8*p**3 + 1443/8*p**2 - 51 + 507/4*p = 0. What is p?
-68, -1, 2/7
Let i = -21 - 10. Let v = i - -123. Factor v + 2*a + 2*a - 90 + 2*a**2.
2*(a + 1)**2
Let v = -6625/7 + 951. Let p be ((-10)/(-28) - 0)*(-1056)/(-165). Determine z, given that p*z + 2/7*z**2 + v = 0.
-4
Let -42 + 3*m**4 + 22*m**2 + 27*m**3 - 30 + 45*m**2 - 13*m**2 - 12*m = 0. What is m?
-6, -2, 1
Let a(d) be the third derivative of -d**6/120 - 331*d**5/60 - 3485*d**4/3 - 13448*d**3 - 3219*d**2. Factor a(k).
-(k + 3)*(k + 164)**2
Let v(h) = -2*h**3 - 24*h**2 - 20*h. Let l(q) be the first derivative of 3*q**4/4 + 16*q**3 + 20*q**2 + 14. Let d(g) = 2*l(g) + 5*v(g). Factor d(i).
-4*i*(i + 1)*(i + 5)
Suppose 54*x = -41*x + 3*x. What is f in -3/5*f**5 + 0*f**2 + 3/5*f**4 + x*f + 0 + 6/5*f**3 = 0?
-1, 0, 2
Let t = 279612 + -1398059/5. Solve -3249/5*w**2 - t - 114/5*w = 0 for w.
-1/57
Determine a so that 2/3*a**4 - 244/3 - 82*a**3 + 82*a + 242/3*a**2 = 0.
-1, 1, 122
Let p(f) be the second derivative of -170*f + 0*f**2 - 17/6*f**5 + 0 - 11/45*f**6 + 0*f**3 - 1/189*f**7 + 289/54*f**4. Let p(t) = 0. Calculate t.
-17, 0, 1
Let q be 2 + (350/(-258) - (-160)/(-240)). Let c = q - -46/129. Factor c - 8*h**2 + 2/3*h.
-(4*h - 1)*(6*h + 1)/3
Suppose -498 = -v - 7. Let a = -486 + v. Factor 0 + 4/5*q**3 + 0*q + 2/5*q**4 + 0*q**2 - 2/5*q**a.
-2*q**3*(q - 2)*(q + 1)/5
Let r(i) be the first derivative of -i**5/15 + 22*i**4/3 - 968*i**3/3 + 21296*i**2/3 - 28*i + 7. Let y(m) be the first derivative of r(m). Solve y(p) = 0.
22
Let d(w) = w**2 + 8*w - 8. Let q = 114 - 112. Let y be d(q). Let 0 + 3/2*v + y*v**2 - 27/2*v**3 = 0. What is v?
-1/9, 0, 1
Let g(f) = f**2 + 65*f - 272. Let z be g(4). Let p(d) be the second derivative of -1/12*d**z + 0*d**2 + 0 - 1/3*d**3 + 6*d. Solve p(w) = 0 for w.
-2, 0
Let k(p) be the first derivative of 2/5*p + 44/15*p**3 + 34/25*p**5 + 4/15*p**6 + 8/5*p**2 + 53 + 14/5*p**4. Let k(m) = 0. Calculate m.
-1, -1/4
Factor 30/11*r**2 - 8268/11*r - 3312/11.
6*(r - 276)*(5*r + 2)/11
Let n(q) = 37*q**4 + 65*q**3 - 264*q**2 + 27*q - 5. Let w(c) = -36*c**4 - 64*c**3 + 264*c**2 - 28*c + 4. Let k(t) = -4*n(t) - 5*w(t). Factor k(d).
4*d*(d - 2)*(d + 4)*(8*d - 1)
Let k(w) be the second derivative of 0 - 4*w + 1/2*w**2. Let f(u) = 10*u**3 - 24*u**2 + 18*u + 4. Let b(v) = -f(v) + 8*k(v). Factor b(p).
-2*(p - 1)**2*(5*p - 2)
Suppose 238 = 3*j - 152. Factor -53*a**3 + 16*a**3 - 66*a**2 - 4*a**4 + 93*a**3 - j*a**2.
-4*a**2*(a - 7)**2
Suppose -27*v**3 + 108*v - 81/2*v**4 + 158*v**2 + 16 = 0. What is v?
-2, -4/9, -2/9, 2
Let a be 15/25 - (-33272)/5. Let f = 1660 - 1495. Factor -a + 3*p**3 - f*p**2 + 989*p + 2*p**3 + 1531*p - 705*p.
5*(p - 11)**3
Let j(y) be the third derivative of y**6/420 + y**5/15 + 11*y**4/28 + 3*y**2 + 722. Factor j(c).
2*c*(c + 3)*(c + 11)/7
Suppose -2*r - b = -4*b + 4, b = 2*r + 4. Let y be (-20)/(-5) + (80/(-14) - r). Factor y*h**5 + 0*h**2 + 0*h**4 + 0 + 2/7*h - 4/7*h**3.
2*h*(h - 1)**2*(h + 1)**2/7
Let a(u) be the second derivative of 