/5*k**3 + 2/5*k**4 + 0 - 2/5*k**5.
-2*k**2*(k - 1)**2*(k + 1)/5
Let g(o) be the third derivative of -o**6/180 + 11*o**5/90 + 295*o**4/144 + 100*o**3/9 - 2038*o**2. Factor g(y).
-(y - 16)*(2*y + 5)**2/6
Let l = -2037 - -2039. Suppose -3*a + 4*u + 4 = 0, 12 = l*a - 5*u + 7*u. Solve -6*g**2 - 3/2*g**a - 15/2*g**3 + 0 + 0*g = 0 for g.
-4, -1, 0
Let b(z) be the third derivative of -1/270*z**5 + 8/27*z**3 + 0*z + 23*z**2 - 1/54*z**4 + 0. Suppose b(i) = 0. What is i?
-4, 2
Factor 2/7*o**2 + 1936/7*o + 468512/7.
2*(o + 484)**2/7
Let i(f) = 11*f + 236. Let q be i(-22). Let y be (5/q)/(7 + 264/(-32)). Solve 0 - y*b + 0*b**2 + 2/3*b**3 = 0 for b.
-1, 0, 1
Let g(a) = -7*a**2 + 29*a + 32. Let s be -1*(-5)/(-2)*12/(-5). Let z(u) = 8*u**2 - 32*u - 33. Let c(q) = s*z(q) + 7*g(q). Factor c(i).
-(i - 13)*(i + 2)
Let a = 4 + -4. Let p = -9030 + 9032. Factor 8/17*k + 2/17*k**p + a.
2*k*(k + 4)/17
Let p(l) be the first derivative of -l**5 - 640*l - 35/2*l**4 + 140 - 120*l**3 - 400*l**2. Determine o, given that p(o) = 0.
-4, -2
Let w be 302/302*((-2)/13 + (-440)/(-156)). Solve -50/9*j - 28/9*j**2 - w - 2/9*j**3 = 0.
-12, -1
Factor 487344*q - 1223042/5*q**2 + 3124/5*q**3 - 243360 - 2/5*q**4.
-2*(q - 780)**2*(q - 1)**2/5
Let a(z) = -99*z + 899. Let i be a(9). Let p be -9 - (i + (-140)/7). Find k such that -2/11*k - 2/11*k**4 - 4/11 + 2/11*k**p + 6/11*k**2 = 0.
-1, 1, 2
Let n(d) be the second derivative of -d**5/150 - 5*d**4/6 - 125*d**3/3 + 44*d**2 + 2*d. Let r(g) be the first derivative of n(g). Find m, given that r(m) = 0.
-25
Suppose 812*r + 248 = 936*r. Let w(f) be the third derivative of -1/60*f**5 + 0 + 0*f - 49/6*f**3 + 7/12*f**4 + 6*f**r. Solve w(i) = 0 for i.
7
Let i = -15491/18 + 77887/90. Solve 0*f**2 + i*f**3 + 0*f + 0 - 4/5*f**4 = 0.
0, 6
Let j(c) be the second derivative of -c**5/40 - 5*c**4/12 + 13*c**3/12 + 11*c**2/2 + 2462*c. Find d such that j(d) = 0.
-11, -1, 2
Let c = 353/2360 - -1/2360. Let l(b) be the third derivative of -2/5*b**5 + 0 + 3/4*b**4 + 0*b + 9/2*b**3 - 1/70*b**7 - 7*b**2 - c*b**6. Factor l(j).
-3*(j - 1)*(j + 1)*(j + 3)**2
Let m be (4/(-14))/((-36)/(-198) - 75/231). Let d(v) be the second derivative of 2*v - 1/24*v**4 + 1/40*v**5 + 0 - 1/6*v**3 + 0*v**m. Solve d(j) = 0.
-1, 0, 2
Let f(g) be the third derivative of -g**7/504 - 5*g**6/72 - 3*g**5/8 - 31*g**4/8 + 9*g**2 - 5. Let t(b) be the second derivative of f(b). What is w in t(w) = 0?
-9, -1
Solve 51*v**2 + 3/2*v**5 - 45/2*v + 21*v**3 - 27/2*v**4 - 75/2 = 0.
-1, 1, 5
Let y(s) = -s**4 + 2*s**2 + 5*s + 1. Let b(j) = -8*j**4 + 4*j**3 + 7*j**2 + 15*j + 9. Let i(u) = 2*b(u) - 18*y(u). Factor i(k).
2*k*(k - 3)*(k + 2)*(k + 5)
Let g(c) be the third derivative of 1/600*c**6 + 0 + 8/15*c**3 + 1/15*c**4 + 27*c**2 - 7/300*c**5 + 2*c. Factor g(i).
(i - 4)**2*(i + 1)/5
Let s = 402 + -400. Let m be (s/7)/((-5)/(-14)). Let -8/5*x**2 - m*x**3 + 0 + 0*x = 0. Calculate x.
-2, 0
Let d(x) be the third derivative of -x**5/30 + 43*x**4/60 - 8*x**3/5 + 29*x**2 - 35. Factor d(h).
-2*(h - 8)*(5*h - 3)/5
Let v(g) be the second derivative of 16/45*g**3 + 1/315*g**7 + 19/150*g**5 + 190*g - 4/15*g**2 + 0 - 5/18*g**4 - 7/225*g**6. Solve v(t) = 0.
1, 2
Factor 118*f**2 - 126*f**2 - 1256*f**4 + 1254*f**4 + 9*f - 19*f**3.
-f*(f + 1)*(f + 9)*(2*f - 1)
Factor -352*k - 4*k**3 + 0*k**3 + 48957 - 31533 - 140*k**2.
-4*(k - 9)*(k + 22)**2
Determine r so that -992*r - 128 + 104*r**3 - 15/2*r**4 - 226*r**2 = 0.
-2, -2/15, 8
Factor -126*r + 102*r**3 + 117*r**2 - 16*r**3 - 83*r**3 - 240.
3*(r - 2)*(r + 1)*(r + 40)
Let o = -727 - -25447/35. Let d(j) be the second derivative of -3/100*j**5 + 0*j**2 - o*j**7 + 0 + 0*j**3 + 34*j + 14/75*j**6 - 3/10*j**4. Factor d(b).
-b**2*(6*b**2 - 5*b - 6)/5
Let z(i) = -i**3 - i**2 - 2*i + 2. Let p(l) = 9*l**3 + 9*l**2 + 42*l - 24. Let n = 422 + -410. Let o(g) = n*z(g) + p(g). Find j such that o(j) = 0.
-3, 0, 2
Let y be 1392/13572*39/2. Determine m so that 0 - 46/3*m**y - 143/3*m**3 - 4/3*m - 121/6*m**4 = 0.
-2, -2/11, 0
Suppose -36*z**2 - 188/5*z + 4/5*z**4 - 52/5*z**3 - 64/5 = 0. What is z?
-1, 16
Let z(d) be the third derivative of 2*d**2 + 1/120*d**6 + 0*d - 9 + 0*d**4 - 2/3*d**3 + 1/20*d**5. Find m such that z(m) = 0.
-2, 1
Suppose -4*l + 4*x + 4 = -24, -3*l - 5*x = 3. Solve -21*b + 12*b**2 - 4*b**l + 8*b + 21*b = 0 for b.
-1, 0, 2
Let k(o) be the third derivative of 3*o**8/448 + 29*o**7/280 + 199*o**6/480 - 161*o**5/80 - 105*o**4/4 - 225*o**3/2 + 2*o**2 - 317. Find g, given that k(g) = 0.
-10/3, -3, 3
Suppose -491*o = 2169 - 3151. Factor 1/4*b**o - 5/2*b + 9/4.
(b - 9)*(b - 1)/4
Let g be (46 - 54)*(0 + 27/(-12)). Suppose -4*p = -4*i + 8, -g*p + 3*i = -23*p + 6. Factor 2/7*s**2 + 0 - 2/7*s**4 + 2/7*s**3 - 2/7*s**5 + p*s.
-2*s**2*(s - 1)*(s + 1)**2/7
Let j(v) be the first derivative of -29 - 20*v + 0*v**2 + 2/3*v**3 - 7/6*v**4. Let q(a) be the first derivative of j(a). Factor q(g).
-2*g*(7*g - 2)
Let h(c) be the first derivative of 44/9*c**3 + 29 + 1/3*c**4 - 50/3*c**2 + 52/3*c. Factor h(l).
4*(l - 1)**2*(l + 13)/3
Let r = 368906989/76725588 - -2/446079. Let f = r + -5/86. Find w, given that 7/4*w**4 + 1 - 4*w - 1/4*w**5 - f*w**3 + 25/4*w**2 = 0.
1, 2
Factor 275/2*c**2 + 605/4*c**3 + 90 - 285*c.
5*(c + 2)*(11*c - 6)**2/4
Let n(t) = 3*t**2 + 9*t - 48. Let d(c) = 10*c**2 + 29*c - 143. Let u(a) = -4*d(a) + 11*n(a). Solve u(o) = 0.
-4, 11/7
Let v(h) = h**2 + 7*h - 13. Let l be v(-9). Suppose -3 = 4*x - l*j, 5*x + 0*j = 3*j + 6. Find i, given that 4*i**2 - 10*i**2 + 4*i**2 - 30*i - 25 - x*i**2 = 0.
-5, -1
Suppose 147*b - 330*b = -366. Let m(k) be the second derivative of 0 + 1/14*k**4 + 0*k**3 + 0*k**b - 24*k - 1/70*k**5. Factor m(w).
-2*w**2*(w - 3)/7
What is i in 26/3 + 2/9*i**2 - 32/9*i = 0?
3, 13
Let w(h) be the third derivative of -77/160*h**6 + 1/56*h**7 + 0 - 371/32*h**4 + 90*h**2 + 69/16*h**5 + 49/4*h**3 + 0*h. Find t, given that w(t) = 0.
2/5, 1, 7
Let h be 6/(-120)*-4*10. Determine x, given that -13*x**h + 15 + 9*x**2 - 20*x + 9*x**2 = 0.
1, 3
Let p(o) be the second derivative of 0*o**3 + 1/225*o**6 + 121/90*o**4 + 0*o**2 - 2*o + 11/75*o**5 + 25. Factor p(t).
2*t**2*(t + 11)**2/15
Let j(o) be the second derivative of o**6/12 + 3*o**5/8 - 355*o**4/8 + 2065*o**3/12 - 255*o**2 + 4519*o. What is i in j(i) = 0?
-17, 1, 12
Let f(t) be the first derivative of -1/2*t**5 + 75 - 21/8*t**4 - 23/6*t**3 + 0*t + 1/12*t**6 - 2*t**2. Factor f(w).
w*(w - 8)*(w + 1)**3/2
Let y(r) be the second derivative of -11*r**7/315 + 427*r**6/225 + 529*r**5/150 - 347*r**4/90 - 518*r**3/45 - 16*r**2/3 + 7650*r. Suppose y(p) = 0. What is p?
-1, -2/11, 1, 40
Suppose -12 = 19*c - 22*c. Suppose 12*g**2 + 38*g**3 - c*g**4 - 25*g**3 + 27*g**3 - 183*g - 377*g - 784 = 0. Calculate g.
-2, 7
Let h(j) be the first derivative of -j**4/4 - 14*j**3 + 229*j**2/2 - 282*j - 5208. Factor h(i).
-(i - 3)*(i - 2)*(i + 47)
Let j(g) = -114*g + 148. Let q be j(16). Let h = q - -25144/15. Factor h - 2/5*u + 2/15*u**2.
2*(u - 2)*(u - 1)/15
Let z be (0 - -3 - (-5)/(-2))*0. Suppose z = 10*m - 0. Determine r, given that -2*r**2 + 2*r + m*r + r**2 - 36 + 35 = 0.
1
Let m(j) = -10*j**2 + 39*j + 150. Let c(i) = -27*i - 482 - 13*i - 523 + 853 + 12*i**2. Let f(o) = 3*c(o) + 4*m(o). Factor f(q).
-4*(q - 12)*(q + 3)
Let k(r) be the first derivative of 2*r**6/3 + 4*r**5/5 - 85*r**4 - 4*r**3/3 + 3696*r**2 - 7056*r + 1083. Suppose k(x) = 0. Calculate x.
-7, 1, 6
Let o(m) be the third derivative of -1/2*m**3 - 16*m**2 + 1/60*m**5 + 0*m + 0 + 1/12*m**4. Solve o(w) = 0 for w.
-3, 1
Let n = 7 + 1. Let r(t) = -53 + 68*t - 139*t**2 - 139*t**2 + 271*t**2. Let d(c) = -2*c**2 + 23*c - 18. Let x(u) = n*d(u) - 3*r(u). Factor x(p).
5*(p - 3)*(p - 1)
Let f = 394 - -255. Let m be f/88 - (11 - 4). Find z such that -3/2 + 3/2*z - m*z**2 = 0.
2
Let s = 283 + -269. Factor -6 - 7 - g**2 - 20 + s*g.
-(g - 11)*(g - 3)
Let h(q) be the second derivative of -1/20*q**5 - 18*q + 5/28*q**4 + 1/210*q**6 + 0 - 13/42*q**3 + 2/7*q**2. Suppose h(k) = 0. What is k?
1, 4
Let l(s) = 12*s**2 - 13. Let o(a) = -38*a**2 + 40. Let g = -138 + 122. Let x(r) = g*l(r) - 5*o(r). Solve x(h) = 0 for h.
-2, 2
Let g be (-6 + 210/28)/((-18)/16 + 2). Factor -10/7*d**3 + g + 16/7*d**2 + 38/7*d.
-2*(d - 3)*(d + 1)*(5*d + 2)/7
Let c(h) be the first derivative of -5*h**3/6 - 845*h**2/2 + 1695*h/2 - 1294