*f**5 - 1/300*f**6 + 0*f**3 - 43*f**2 + c*f. Factor y(m).
-2*m*(m - 1)*(m + 1)**2/5
Let d(p) be the first derivative of p**4/8 + 7*p**3/6 + 3*p**2 + 1954. Let d(f) = 0. What is f?
-4, -3, 0
Let o(n) = -5706*n + 171183. Let t be o(30). Determine q so that 1/3*q**4 - 8/3*q - 7/3*q**t + 14/3*q**2 + 0 = 0.
0, 1, 2, 4
Factor 108*t + 752/7 + 4/7*t**2.
4*(t + 1)*(t + 188)/7
Let x(l) be the third derivative of 1/240*l**5 + 0*l - 48*l**2 + 0 - 7/4*l**3 - 11/96*l**4. Find m such that x(m) = 0.
-3, 14
Let -28/3 - 9*r + 1/3*r**2 = 0. What is r?
-1, 28
Let w(m) be the third derivative of -m**6/280 + 1011*m**5/140 - 340707*m**4/56 + 38272753*m**3/14 - 1662*m**2 - 2*m + 1. What is s in w(s) = 0?
337
Suppose -8*x = 25 - 1. Let i(z) = -7*z**2 + 104*z - 103. Let h(v) = -8*v**2 + 104*v - 104. Let y(p) = x*h(p) + 4*i(p). Determine d, given that y(d) = 0.
1, 25
Let q(h) be the third derivative of -h**9/2160 - 3*h**8/560 - 79*h**5/60 - h**3/3 - 3*h**2 - 3. Let p(f) be the third derivative of q(f). Factor p(u).
-4*u**2*(7*u + 27)
Let d(m) be the third derivative of -m**8/2856 - 6*m**7/595 + 2*m**6/51 + 137*m**5/51 - 13*m**4/68 - 1352*m**3/51 + 1692*m**2. Find a such that d(a) = 0.
-13, -1, 1, 8
Let z(b) = -b**3 - 9*b**2 + 3*b + 29. Let k be z(-9). Factor -18 + 14*m - 17*m + 6*m - 3*m**k + 4*m**2.
(m - 3)*(m + 6)
Let u = 1013 + -1007. Let v(f) be the second derivative of 0 - 1/2*f**3 + 1/42*f**7 - 5*f + 0*f**2 + 2/3*f**4 + 0*f**u - 3/10*f**5. Find g such that v(g) = 0.
-3, 0, 1
Let c(a) be the first derivative of -a**4/28 + 929*a**3/7 - 2589123*a**2/14 + 801765089*a/7 + 6678. Factor c(q).
-(q - 929)**3/7
Let v(p) = -7*p - 26. Let r be v(-4). Find y such that 7 + 24*y - 4*y**r + 33*y - 84*y = 0.
-7, 1/4
Factor 0 + 0*h - 75/2*h**2 + 1/2*h**4 - 11*h**3.
h**2*(h - 25)*(h + 3)/2
Let a be 172/144 - 2/2 - 2/(-9). Let b(g) be the second derivative of -5/3*g**3 + 1/4*g**5 + a*g**4 + 4*g + 0 + 0*g**2. Find o such that b(o) = 0.
-2, 0, 1
Let i(b) be the second derivative of -b**5/90 + 8*b**4/27 - 295*b. Factor i(a).
-2*a**2*(a - 16)/9
Let g be 9*-7*11/231 - (-21 - -1). Let d(i) be the second derivative of 6*i**3 + 1/4*i**4 + 54*i**2 + 0 - g*i. Factor d(b).
3*(b + 6)**2
Let m be 5 - 891/215 - (-2)/(-15). Let y = m + 10/129. Factor 0*g + y*g**4 + 0 + 12/5*g**2 - 16/5*g**3.
4*g**2*(g - 3)*(g - 1)/5
Let v(c) be the first derivative of 2*c**3/27 + 1714*c**2/9 - 3430*c/9 - 5526. Let v(k) = 0. Calculate k.
-1715, 1
Let h(p) = -112*p**2 + 137*p + 8. Let i(o) = -37*o**2 + 46*o + 3. Let f be (-4)/(1/(-5)*5). Let x(n) = f*h(n) - 11*i(n). Find w such that x(w) = 0.
1/41, 1
Let x(u) be the third derivative of -133*u**6/40 + 139*u**5/30 + 119*u**4/24 + u**3/3 + 67*u**2 + 1. Determine c, given that x(c) = 0.
-2/7, -1/57, 1
Let c(l) be the first derivative of -l**4/2 - 666*l**3/7 + 8742*l**2/7 - 4832*l/7 + 14505. Solve c(g) = 0 for g.
-151, 2/7, 8
Suppose 54*l - 3*x = 52*l - 41, l = -x + 17. Factor 2/11*z**l - 2/11*z**3 + 0 + 0*z.
-2*z**2*(z - 1)/11
Factor -7350*f**2 - 18954*f**2 - 6570*f + 235 - 341*f**2 - 304 - 336.
-5*(73*f + 9)**2
Let d be (1015053/(-36))/(-17)*(-36)/(-27). Let w = d - 2211. Factor 2*m**2 - 8/9*m**3 + 0 - w*m.
-2*m*(m - 2)*(4*m - 1)/9
Let y be 96 + 2 + (7 - 11) + 5. Let s be ((-110)/y)/((-2)/36). Factor s*d + 14/3*d**2 + 16/3.
2*(d + 4)*(7*d + 2)/3
Let u be (-84)/140*(1 + -6)/1. Let y be (-58)/(-6) + (u + -1 - 5). Determine q, given that -16/3*q + 4/3*q**2 - y = 0.
-1, 5
Suppose 476 - 488 = -4*g. Let w(t) be the second derivative of 5/7*t**2 + 3/140*t**5 - 1/6*t**g + 5*t + 0 - 1/6*t**4. Factor w(h).
(h - 5)*(h + 1)*(3*h - 2)/7
Let t(g) = 4*g**2 + 184*g + 4230. Let f(y) = y**2 - 2*y - 22. Let w be f(6). Let i(v) = -v**2 + 1. Let h(s) = w*i(s) + t(s). Find c, given that h(c) = 0.
-46
Let f(c) be the second derivative of -1/130*c**5 + 10 - 4/13*c**2 - 1/39*c**4 + 7/39*c**3 + 2*c. Factor f(h).
-2*(h - 1)**2*(h + 4)/13
Factor 3354050/3 - 5180/3*f + 2/3*f**2.
2*(f - 1295)**2/3
Let i(p) be the first derivative of -1/14*p**4 - 6/7*p**2 + 40 + 0*p + 10/21*p**3. Factor i(g).
-2*g*(g - 3)*(g - 2)/7
Let x(h) be the second derivative of -h**5/60 - 17*h**4/12 + 26*h**3/9 - 98*h + 2. Factor x(r).
-r*(r - 1)*(r + 52)/3
Let 2052*z**3 + 978*z**2 - 841*z + 9*z**5 + 340*z**4 - 625 - 629 - 1220*z - 64*z**4 = 0. Calculate z.
-19, -11, -1, -2/3, 1
Let m(v) = -v**2 + 20*v + 48. Let q be m(22). Let d be (-9823)/(-121) - q/22. Solve 0*h + 80*h**2 + 2*h - d*h**2 = 0 for h.
0, 2
Factor 22*z - 52 - 1/2*z**4 + 15*z**2 - 11/2*z**3.
-(z - 2)**2*(z + 2)*(z + 13)/2
Let l = 65/31 - 349/403. Let z be 2*4 - (3*4/4 - -3). Factor -6/13*k**z - 28/13*k - l.
-2*(k + 4)*(3*k + 2)/13
Let t(y) be the second derivative of 1/32*y**4 + 47*y + 1/16*y**3 - 3/8*y**2 + 0. Let t(k) = 0. Calculate k.
-2, 1
Let t(f) = 2*f**3 + 6*f**2 + 68*f + 56. Let z(m) = 17*m**2 - 31*m**2 + 16*m**2 + m**3 + 19 + 23*m. Let v(n) = 3*t(n) - 8*z(n). Factor v(y).
-2*(y - 4)*(y + 1)*(y + 2)
Let p be 3*10/15 - -15. Suppose -p*x + 24 = -15*x. Factor -55*r + 120*r**2 + 2*r**3 - 132*r**3 + 57*r**4 + 10 - 3*r**5 - x*r**5 + 13*r**4.
-5*(r - 1)**4*(3*r - 2)
Factor 189*m**3 + 0*m**2 + 375/2*m**4 + 0*m - 3/2*m**5 + 0.
-3*m**3*(m - 126)*(m + 1)/2
Let f(k) = 11*k**2 + 3*k + 2. Let v(z) = 21*z**2 + 518*z + 1032. Let t(g) = -4*f(g) + 2*v(g). Find b such that t(b) = 0.
-2, 514
Let z(a) be the second derivative of -a**4/36 + 703*a**3/9 - 494209*a**2/6 + 234*a - 10. Factor z(i).
-(i - 703)**2/3
Let w(i) = -27 + 24 - 83 + 12 - 9 - 5*i. Let l be w(-17). Factor -1/6*c + 1/3 + 1/6*c**3 - 1/3*c**l.
(c - 2)*(c - 1)*(c + 1)/6
Let k(o) = 2*o**3 + 2*o - 2. Let r(u) = -11*u**3 + 144*u**2 - 9*u - 134. Let n(m) = 5*k(m) + r(m). Suppose n(t) = 0. What is t?
-1, 1, 144
Let u(q) be the third derivative of q + 0 + 1/210*q**7 + 8/3*q**3 - 1/6*q**4 - 1/5*q**5 - 2*q**2 - 1/120*q**6. Factor u(v).
(v - 4)*(v - 1)*(v + 2)**2
Let f = 878716/5 - 176317. Let u = f + 575. Factor 0 - u*w + 6/5*w**3 + 9/5*w**2.
3*w*(w + 2)*(2*w - 1)/5
Let h(k) = 224*k**2 + 377*k - 1803. Let d(o) = -148*o**2 - 378*o + 1802. Let a(b) = -3*d(b) - 2*h(b). Suppose a(p) = 0. Calculate p.
5, 90
Let v(d) be the second derivative of d**7/210 + d**6/24 - d**5/60 - 5*d**4/24 - 135*d**2/2 - 62*d. Let z(y) be the first derivative of v(y). Factor z(x).
x*(x - 1)*(x + 1)*(x + 5)
Let v(u) be the first derivative of 1/12*u**3 - 1/8*u**2 + 1/16*u**4 + 40 + 0*u - 1/20*u**5. Find g, given that v(g) = 0.
-1, 0, 1
Let a be ((-30)/105)/(4/7) + (4 - 7/(-14)). Factor 4 - 1/2*t**a + 3/2*t**3 + t**2 - 6*t.
-(t - 2)**2*(t - 1)*(t + 2)/2
Let n(t) = t**3 + 10*t**2 + 9*t + 10. Let g be n(-9). Suppose 0 = 8*z - 26 + g. Factor 3*c**z + 28*c + 3*c**3 + 3*c**2 - 25*c.
3*c*(c + 1)**2
Let s(k) be the first derivative of 19/7*k**4 - 5184/7*k + 2736/7*k**2 - 1/35*k**5 - 1588/21*k**3 + 24. Suppose s(p) = 0. Calculate p.
2, 36
Suppose -6*i = -54 - 234. Suppose -9*m**2 + 9*m**2 + i - 24*m**2 - 198*m - 10*m - 12*m**2 = 0. What is m?
-6, 2/9
Factor -3/2*g**2 + 303 - 297/2*g.
-3*(g - 2)*(g + 101)/2
Suppose -4*j - 25 = -3*b, 5*b - 15 - 4 = j. Factor 65*r**b - 477*r**4 - 55*r**2 + 10*r + 226*r**4 + 231*r**4.
-5*r*(r - 2)*(r - 1)*(4*r - 1)
Let b = 33 - 24. Suppose -s - b = -11. Factor -16*v + 3*v**2 - 17 + 49 - 4*v**2 + 3*v**s.
2*(v - 4)**2
Factor -19*l + 19*l**3 + 1/3*l**4 - 56/3 + 55/3*l**2.
(l - 1)*(l + 1)**2*(l + 56)/3
Suppose -5*p + l = 6*l + 40, -p + 3*l = -12. Let o be p/12*(-8)/3. Factor -2/3*a**2 - o*a + 0.
-2*a*(a + 1)/3
Let z = 2654831/2986695 + 1/331855. Find u such that 0 - 1/9*u**3 + u**2 - z*u = 0.
0, 1, 8
Let w be -11 + (-3)/((-3)/11). Let s(g) be the third derivative of -1/80*g**6 + 0*g**5 + 1/16*g**4 - 1/280*g**7 + 0 + w*g + 1/8*g**3 - 14*g**2. Factor s(c).
-3*(c - 1)*(c + 1)**3/4
Let x(w) be the first derivative of 5916468*w**5/25 - 580413*w**4/20 - 59724*w**3/5 - 5304*w**2/5 - 192*w/5 + 1186. Suppose x(j) = 0. What is j?
-4/79, 1/4
Suppose 136*s - 9818 + 9410 = 0. Find u such that -4/3*u**2 + 0*u**s + 0 + 0*u + 7/3*u**4 + u**5 = 0.
-2, -1, 0, 2/3
Suppose 0 = 25*j + 5 + 20. Let w(z) = -40*z**2 + 64*z + 12. Let l(b) = -b**2 - b - 1. Let p(k) = j*w(k) + 12*l(k). Factor p(f).
4*(f - 3)*(7*f + 2)
Let g(x) be the second derivative of 0 - 45/2*x**2 + 29/4*x**3 + 126*x + 1/8*x**4. Let g(k) = 0. What is k?
-30, 1
Factor 38/11*m**2 - 36/1