f).
5*(f - 2)*(f + 1)**2*(f + 2)
Let l(y) be the third derivative of y**6/240 + 263*y**5/480 - 11*y**4/32 + 208*y**2 + 2. Suppose l(x) = 0. What is x?
-66, 0, 1/4
Suppose -82*p - 79*p + 304 = -85*p. Factor 0*g - p*g**3 + 0 + 0*g**2 - 1/3*g**5 + 7/3*g**4.
-g**3*(g - 4)*(g - 3)/3
Factor 760/7*q - 768/7 - 2/7*q**3 - 184/7*q**2.
-2*(q - 2)**2*(q + 96)/7
Let c(t) be the second derivative of 2/7*t**2 - 38*t + 0 + 0*t**3 - 1/21*t**4. Factor c(i).
-4*(i - 1)*(i + 1)/7
Factor -320 + x**3 - 166 - 88*x + 277*x - 14*x**2 - 4*x**2 - 6*x**2.
(x - 9)**2*(x - 6)
Suppose 2/13*v**2 - 24/13*v + 22/13 = 0. What is v?
1, 11
Suppose 0*g - 936 = -18*g. Factor g*v + 0 - 8*v**2 - 1319*v**3 - 40 + 1315*v**3.
-4*(v - 2)*(v - 1)*(v + 5)
Let f(b) = -9*b**3 - b**2 + 11*b - 14. Let i be f(4). Let c = -557 - i. Find r, given that 8/5*r + 0 - 4/5*r**2 + 1/5*r**4 - 6/5*r**3 + 1/5*r**c = 0.
-2, 0, 1, 2
Let j be 96/45 + 8/(-60). Suppose 255 - 271 - 24*z + 6*z - 2*z**j = 0. What is z?
-8, -1
Let p(u) be the second derivative of 1482975*u**5 + 152100*u**4 + 6240*u**3 + 128*u**2 - 44*u + 112. Solve p(t) = 0 for t.
-4/195
Let -54*k**3 + 4*k + 80*k**3 - 34*k**3 + 0*k**2 - 36 + 4*k**5 - 36*k**4 + 72*k**2 = 0. What is k?
-1, 1, 9
Let z be (15 - (-54)/(-4))*(-9520)/(-6). Let y be 17/(z/288) + 12/(-10). Let -2/7*n**5 + 4/7*n**2 + 0*n + y*n**3 + 0*n**4 + 0 = 0. Calculate n.
-1, 0, 2
Let f be (-10)/95 + 1482/361. Factor -f + 8/3*p**2 - 2/3*p - 2/3*p**3.
-2*(p - 3)*(p - 2)*(p + 1)/3
Let l(y) = -5*y - 86. Let c be l(-18). Let q be (244/(-549))/(c/(-18)*1). Solve 4/5 - 48/5*s + 33*s**q - 121/5*s**3 = 0 for s.
2/11, 1
Suppose 0 = 3*m - 53 - 25. Factor -a**3 + a**2 + m*a - 42*a - 3*a**2 + 17*a + 2.
-(a - 1)*(a + 1)*(a + 2)
Let m be (9/(-10))/(24/(-50)). Let k = 70612 + -564893/8. Factor -3/8*w + k*w**3 - m*w**2 + 15/8.
3*(w - 5)*(w - 1)*(w + 1)/8
Let v(k) be the first derivative of 7/2*k**4 - 74/3*k**3 + 52*k**2 - 24*k + 17. Determine i so that v(i) = 0.
2/7, 2, 3
Find i such that 18*i - 150 - 147 - 3*i**4 - 153 + 450 - 12*i**3 - 3*i**2 = 0.
-3, -2, 0, 1
Let t(s) be the third derivative of s**7/105 - 49*s**6/60 - 289*s**5/15 - 65*s**4 + 1416*s**3 - 13*s**2 + 8. Factor t(u).
2*(u - 59)*(u - 2)*(u + 6)**2
Let i(y) = -11*y + 125. Let l be i(11). Solve -76*c**3 + 0*c**l + 6*c**2 + 3*c**4 + 68*c**3 - 1 = 0 for c.
-1/3, 1
Let v(f) be the second derivative of f**6/15 - 3*f**4/2 - f - 98. Factor v(y).
2*y**2*(y - 3)*(y + 3)
Suppose 490 = 6*d - 20. Let o be (-42)/(-357) + (164/d)/4. Factor -2/5*s + o*s**2 + 0.
s*(3*s - 2)/5
Let v(k) be the first derivative of 3*k**4/4 - 185*k**3 + 12972*k**2 - 25392*k - 2075. Solve v(h) = 0.
1, 92
Let l = -1102317/7 - -157474. Factor -6/7 - 4/7*s**2 + 11/7*s - l*s**3.
-(s - 1)**2*(s + 6)/7
What is o in 0 + 3/2*o**4 + 6*o**3 - 27*o - 45/2*o**2 = 0?
-6, -1, 0, 3
Let o(b) be the third derivative of -b**5/90 - 5*b**4/6 - 221*b**3/9 - 5*b**2 + 71*b. Factor o(m).
-2*(m + 13)*(m + 17)/3
Let x(j) be the second derivative of j**7/42 + j**6/10 + j**5/20 - j**4/4 - j**3/3 + 1291*j. Factor x(s).
s*(s - 1)*(s + 1)**2*(s + 2)
Let v(o) = 9*o**3 - 4*o**3 - 17*o - 16 - 28*o**2 + 40*o**2. Let w(k) = 16*k**3 + 39*k**2 - 52*k - 47. Let m(u) = -7*v(u) + 2*w(u). Solve m(g) = 0.
-3, -1, 2
Let l be 152/6 + (-455)/105. Let w(u) be the third derivative of l*u**2 - 2/15*u**3 - 2/15*u**4 + 0 - 7/300*u**5 + 0*u. Factor w(y).
-(y + 2)*(7*y + 2)/5
Let l(f) = 2*f - 23. Let w be l(13). Let d = -4812 + 62560/13. Find a, given that 2/13*a + 4/13*a**2 - d - 2/13*a**w = 0.
-1, 1, 2
Let w(p) be the first derivative of -p**2 + 20 - 1/20*p**5 - 1/2*p**3 + 1/4*p**4 + 0*p. Let r(h) be the second derivative of w(h). Suppose r(d) = 0. What is d?
1
Let s(c) be the second derivative of 1/15*c**4 + 1/3*c**3 - 6/5*c**2 - 1/50*c**5 + 0 - 61*c. Determine v so that s(v) = 0.
-2, 1, 3
Factor -23/2*t**3 + 135 - 333/2*t + 141/2*t**2 + 1/2*t**4.
(t - 15)*(t - 3)**2*(t - 2)/2
Let h(d) = 2*d + 2. Let n(w) = -5*w**2 + 175*w + 180. Let j(t) = -5*h(t) - n(t). Find o such that j(o) = 0.
-1, 38
Let a be (330/385)/(0 + (-18)/(-42)). Factor 2/3 - 10/3*s**a - 8/3*s.
-2*(s + 1)*(5*s - 1)/3
Let i(n) = 2*n**2 - 47. Let w(v) = -v. Let o(s) = i(s) - 6*w(s). Let y be o(-7). Factor 0*z**2 + 4/3*z + 9*z**4 - y*z**3 + 0.
z*(3*z - 2)**2*(3*z + 1)/3
Let k = -18727 - -18729. Let l(n) be the second derivative of 0*n**k + 0 + 2/21*n**3 - 1/35*n**5 + 1/42*n**4 - 8*n - 1/105*n**6. Solve l(g) = 0 for g.
-2, -1, 0, 1
Let c(i) = 15*i**5 - 15*i**3 - 7*i**2 - 14*i. Let u(s) = 8*s**5 - 8*s**3 - 4*s**2 - 8*s. Let h(w) = 4*c(w) - 7*u(w). Factor h(p).
4*p**3*(p - 1)*(p + 1)
Let l be (7/(-15) + 0)/((-65835)/169290). Factor -4/5*h**4 - 4/5*h**2 - l*h**3 - 1/5*h + 0 - 1/5*h**5.
-h*(h + 1)**4/5
Let i(o) = -629*o - 627. Let g be i(-1). Let j be 7/(-14)*(-1 - -1). Factor j - 1/3*t**g + 0*t + 1/3*t**3.
t**2*(t - 1)/3
Let u = -5 + 6. Let j be 207/63 + (5/7 - u). Suppose -14*g - 3*g**2 + 15 + 5*g**j + 8*g**2 - 6*g - 35 = 0. Calculate g.
-2, -1, 2
Let h be ((-72)/(-108)*6)/14. Suppose h*p**3 + 16/7 + 34/7*p + 20/7*p**2 = 0. What is p?
-8, -1
Suppose -4*c - 3*y = -2*y - 43, 0 = -3*c - y + 31. Let m be 5/((-16)/c*(-9)/6). Let 3*q**3 + 3/4*q**5 - m*q**4 + 0 - 3/2*q**2 + 1/4*q = 0. What is q?
0, 1/3, 1
Factor -500/3*l + 0 - 5/3*l**2.
-5*l*(l + 100)/3
Let t(x) be the first derivative of x**4/9 + 28*x**3/27 - 16*x**2/9 - 674. What is i in t(i) = 0?
-8, 0, 1
Factor 279073*z**2 - 280296*z + 15549 - z**5 - 609*z**4 + 2499 + 75588 - 29939*z**3 - 61864*z**3.
-(z - 1)**3*(z + 306)**2
Let j(h) = 13*h**4 - 77*h**3 + 437*h**2 - 1189*h + 1218. Let r(t) = 3*t**4 - 19*t**3 + 109*t**2 - 297*t + 304. Let n(u) = -2*j(u) + 9*r(u). Factor n(x).
(x - 5)**2*(x - 4)*(x - 3)
Let h be 1/(1/(-2))*(647 - 465). Let p be -2 - 810/h - (-11)/(-154). Determine a, given that -2/13*a**3 + 0 + 4/13*a + p*a**2 = 0.
-1, 0, 2
Let p(s) = -3*s**3 + s**2 + 2*s - 4. Let v(a) = -6*a**3 - 26*a**2 - 19*a + 5. Let r(o) = 2*p(o) + v(o). Find c, given that r(c) = 0.
-1, -1/2
Let m be 1/(5/6)*(-2744)/(-2058). Factor -2/5*a**3 - 6/5*a**2 + m + 0*a.
-2*(a - 1)*(a + 2)**2/5
Let h(t) = 15*t**2 + 10*t + 10. Let v(m) = 3651 + 2*m**2 + 0*m - 3650 + 0*m. Let s(r) = -h(r) + 10*v(r). Solve s(q) = 0.
0, 2
Determine p so that 14141941 + 23*p**2 - 6*p**2 - 5*p**2 - 8*p**2 + 14008*p - 1877937 = 0.
-1751
Let i be 10 + -15*(-24)/(-36). Let a(f) be the third derivative of i*f - 1/150*f**5 - 2/75*f**6 - 6*f**2 + 0*f**4 + 0 - 16/525*f**7 + 0*f**3. Factor a(r).
-2*r**2*(4*r + 1)**2/5
Let r be 6/14 + (30 - 15225/539). Factor -2/11*p**2 + 0 - r*p.
-2*p*(p + 12)/11
Let d(h) be the first derivative of h**5/10 + 121*h**4/2 + 9598*h**3 - 59048*h**2 + 119072*h - 1628. Factor d(j).
(j - 2)**2*(j + 244)**2/2
Let x be (13 + 154/(-11))*0. Let k(q) be the first derivative of -q**5 + 0*q**3 + x*q**2 + 0*q - 10 + 5/4*q**4. Suppose k(b) = 0. What is b?
0, 1
Solve 5*r**2 - 256*r**3 - 288*r**5 + 4*r**2 - 153*r**5 + 1407*r**4 + 3*r**2 = 0 for r.
0, 2/21, 3
Suppose 92*k - 62 = 248 + 58. Let q(x) be the first derivative of 213/4*x**k - 108/5*x**5 - 32*x**3 - 23 - 15/2*x**2 + 6*x. Let q(i) = 0. Calculate i.
-1/4, 2/9, 1
Let h = -69 - -75. Let k(t) = 11*t**2 + 2*t + 20. Let g be k(h). Find b such that -78*b - 33 - 65 + 3*b**2 + 177 + g = 0.
13
Let j(w) be the second derivative of 0*w**2 - 1/100*w**5 + 1/100*w**6 - 14*w + 0*w**3 + 0 - 1/420*w**7 + 0*w**4. Factor j(u).
-u**3*(u - 2)*(u - 1)/10
Let o be (-12)/14*(-9)/((-9)/7). Let n be o/24*48/(-20). Factor -1/5*h**4 + 0 + 1/5*h**2 - 3/5*h + n*h**3.
-h*(h - 3)*(h - 1)*(h + 1)/5
Let d = 0 - -2816. What is g in -d*g**3 + 5*g**5 - 30*g**4 - 4*g**2 - 36*g**2 + 2876*g**3 = 0?
0, 2
Let v(t) be the first derivative of -3/10*t**5 - 11/8*t**4 + 0*t - 29 + 2/3*t**3 + 0*t**2. Solve v(s) = 0.
-4, 0, 1/3
Let d(k) be the third derivative of -k**7/630 + k**6/90 + 4*k**5/45 - 8*k**4/9 - 2*k**2 - 364*k. Determine t so that d(t) = 0.
-4, 0, 4
Let n(i) be the first derivative of -11*i**5/5 + 46*i**4 - 700*i**3/3 + 472*i**2 - 384*i + 7411. Determine q, given that n(q) = 0.
8/11, 2, 12
Suppose p = 5*o - 8, -3*p - o - 63 = -7*p. Let r = p + -15. Factor -53*q - r*q**3 + 49*q + 4*q**2 + 0 - 4 + 6*q**3.
4*(q - 1)*(q + 1)**2
Let y(j) = 96*j + 16706. Let q be y(-174). Factor 44/5 + q*l**2 - 114/5*l.
2*(l - 11)*(5*l - 2)/5
Let p(f) = -