3 - 12*u**3 = 0.
-2, 2/23, 1/3, 3
Let w(n) be the first derivative of 0*n**3 + 0*n**4 + 11 + 1/130*n**5 + 0*n**2 + 18*n. Let q(b) be the first derivative of w(b). Let q(j) = 0. Calculate j.
0
Let r(t) be the first derivative of 4*t**3/9 - 314*t**2/3 + 616*t + 3914. Factor r(g).
4*(g - 154)*(g - 3)/3
Let g(p) = 4*p**2 + 62*p + 32. Suppose -4*i + h = 65, 0 = 3*i - 8*h + 9*h + 40. Let o be g(i). Let -7/2*a - 2 + 1/2*a**3 - a**o = 0. Calculate a.
-1, 4
Let u = 1115373/214495 - -1/214495. Factor -384/5*f + 0 + u*f**3 - 32/5*f**2 - 2/5*f**4.
-2*f*(f - 8)**2*(f + 3)/5
Let i = 3214 - 3211. Let w(k) be the first derivative of -5/11*k**2 + 2/33*k**i + 8/11*k + 33. What is u in w(u) = 0?
1, 4
Let y(v) = 13*v**2 + 5*v + 3. Let q be y(-1). Suppose -q + 8 = -j. Factor -14*g**2 - 2*g + 13 + 17 + 7*g - 16*g**2 - 5*g**j.
-5*(g - 1)*(g + 1)*(g + 6)
Suppose 257*j - 261*j - 3*k = -6, 2*j = -5*k + 10. Let y(g) be the first derivative of -9/4*g**4 + j*g**2 + 0*g**5 - 16 + 2*g**3 + 0*g + 1/2*g**6. Factor y(i).
3*i**2*(i - 1)**2*(i + 2)
Suppose 0 = -9*d + d + 24. Suppose 0 = n + 3*u - 15, 0 = -d*u + 3 + 9. Factor n*f**2 - 6 + 9*f + 2*f**3 + 13*f**4 - 10*f**4 - 11*f**3.
3*(f - 2)*(f - 1)**2*(f + 1)
Let n be 36/(-270) + 752/15. Factor n*v**2 - 12*v - 27*v**3 - 21*v**3 - 47*v**3 + 14*v**2 + 25*v**4.
v*(v - 3)*(5*v - 2)**2
Let j(x) = -x**2 - 41*x - 145. Let u be j(-4). Factor 171*k + k + 18 + 159*k + 18*k**u + 495*k + 178 - 248*k**2.
2*(k - 7)**2*(9*k + 2)
Let d(l) be the second derivative of l**6/105 - 17*l**5/35 - 11*l**4/2 - 120*l**3/7 + 39*l + 6. What is r in d(r) = 0?
-3, 0, 40
Let c(p) be the first derivative of -p**4/4 + 601*p**3/3 - 45300*p**2 + 90000*p - 3118. Factor c(w).
-(w - 300)**2*(w - 1)
Let w be 2*(44 + (-3212)/88). Factor w*t - 5/3*t**3 - 5*t**2 - 25/3.
-5*(t - 1)**2*(t + 5)/3
Factor -1/3*q**3 + 124/3 + 59/3*q**2 + 184/3*q.
-(q - 62)*(q + 1)*(q + 2)/3
Solve -10908*h + 6210*h**2 + 1944 - 20*h**5 - 21*h**5 - 1377*h**3 - 12*h**5 - 13*h**5 + 61*h**5 + 136*h**4 = 0.
1/5, 6, 9
Let m be 13*5/30 + (-55)/330. Let h(w) be the first derivative of m*w**2 - 1/2*w**4 - 40 + 2/3*w**3 + 0*w. Factor h(a).
-2*a*(a - 2)*(a + 1)
Let v = 197 + -170. Let -24*w + 35*w**2 - v + 24*w**3 - 74*w**4 + 71*w**4 - 5*w**2 = 0. What is w?
-1, 1, 9
Factor 2/13*d**3 + 32/13*d**2 + 96/13 + 8*d.
2*(d + 2)**2*(d + 12)/13
Factor -5*j**5 - 75*j**3 + 275*j**2 - 593*j**2 - 35*j**4 + 253*j**2 - 20*j.
-5*j*(j + 1)**3*(j + 4)
Let w = 11236142/135921 - 2/45307. Let -w*k**4 + 4/3*k + 20/3*k**2 - 112/3*k**5 + 0 - 13*k**3 = 0. Calculate k.
-2, -1/4, 0, 2/7
Let h be (555/1295)/(27/28). Let d(y) be the second derivative of -h*y**4 - 512/9*y**2 - 1/90*y**5 - 23*y + 0 - 64/9*y**3. Solve d(r) = 0 for r.
-8
Let s = -26 - -56. Let z be (79/(-395))/((-8)/s). Factor z*a**2 - 21/4 - 9/2*a.
3*(a - 7)*(a + 1)/4
Factor -1/2 - 1/6*h**5 + 1/6*h**4 - 7/3*h**2 + 11/6*h + h**3.
-(h - 1)**4*(h + 3)/6
Let h be 167*1 - (-264)/44. Determine u, given that -351 + 2*u - u**2 + h + 177 = 0.
1
Let c(j) be the second derivative of -40*j**2 + 0 + 1/5*j**5 - 38/3*j**3 - 9*j + 2/3*j**4. Find h, given that c(h) = 0.
-5, -1, 4
Let y(v) be the third derivative of -v**6/120 + 193*v**5/5 - 74498*v**4 + 230049824*v**3/3 + 1497*v**2. Factor y(q).
-(q - 772)**3
Let i be (-6)/15*((-2)/(-11) - 9657/5742). What is a in -i - 38/5*a**2 - 24/5*a**3 - 4*a + 4/5*a**5 + 1/5*a**4 = 0?
-1, -1/4, 3
Suppose 2*l + 5*r = 9, 0 = 23*l - 22*l - 3*r + 12. Let z(x) = -5*x - 13. Let a be z(l). Let 2/7*s**a - 12/7 - 2/7*s = 0. What is s?
-2, 3
Let g = 9926 + -9926. Let k(c) be the second derivative of -25*c + 0*c**3 + 0*c**4 + 1/4*c**5 + 0*c**6 + g - 5/42*c**7 + 0*c**2. Suppose k(h) = 0. Calculate h.
-1, 0, 1
Find o such that 0 + 2/7*o**3 - 8/7*o**2 + 2/7*o**4 - 8/7*o = 0.
-2, -1, 0, 2
Let n = 144 + -141. Find m such that 20*m - 4*m**3 + 0*m**3 + 0*m**3 - m**n = 0.
-2, 0, 2
Let d = 2/9869 + 9659/1036245. Let v(t) be the second derivative of 5*t - 3/70*t**5 + 0*t**3 + 0*t**2 + 0 - d*t**6 - 1/21*t**4. Find p, given that v(p) = 0.
-2, -1, 0
Find u, given that -20480 - 1760*u**3 - 1150*u**4 - 10240*u + 1305*u**4 + 3*u**5 - 8*u**5 + 8320*u**2 = 0.
-1, 8
Suppose 5*t - 90 = -0*t - s, 5*t + 2*s = 90. Determine h so that -t*h + 1 - h**2 + 2 - 20 = 0.
-17, -1
Let x be (-948)/27 - 1*(-16)/72. Let u = -290/9 - x. Suppose -u*m + 1/3*m**2 + 16/3 = 0. Calculate m.
4
Let w(o) be the second derivative of -2*o + 5*o**2 + 1/5*o**5 + 20 + 14/3*o**3 - 1/15*o**6 + 2*o**4. Factor w(n).
-2*(n - 5)*(n + 1)**3
Let t(h) = h**3 - h**2 - h + 1. Let d(u) = u**3 + 0 + 10*u + 0 - 2*u**2 + 12 + 6. Let i(v) = -3*d(v) + 6*t(v). Solve i(r) = 0.
-2, 4
Let b(q) be the first derivative of -q**6/12 - 377*q**5/5 - 26696*q**4 - 13501408*q**3/3 - 325588928*q**2 - 1249198336*q + 4052. Factor b(m).
-(m + 2)*(m + 188)**4/2
Let f(a) be the second derivative of a**6/75 + 98*a**5/25 + 13*a**4/2 + 9*a - 6. What is l in f(l) = 0?
-195, -1, 0
Let m = 8 + -12. Let g be m/16*9*4/(-3). Factor -10*l**g + l + l**3 - 5 + 5*l**2 + 8*l**3.
-(l - 5)*(l - 1)*(l + 1)
Let q(t) be the second derivative of 153/77*t**7 + 4/33*t**3 + 0 + 144/55*t**6 + 21*t - 34/33*t**4 - 27/110*t**5 + 0*t**2. Let q(d) = 0. Calculate d.
-2/3, 0, 1/17, 1/3
Let c(w) = 2*w**4 + 12*w**2 - 5*w. Let a(o) = -o**4 - 12*o**2 + 4*o. Let m = 23 - 19. Let b(f) = m*c(f) + 5*a(f). Suppose b(s) = 0. What is s?
-2, 0, 2
Let g(q) = 6 + q**2 - q - 21 + 15. Let o(t) = t**3 - 4*t**2 + t - 8. Let f(y) = 14*g(y) + 2*o(y). Solve f(j) = 0 for j.
-4, -1, 2
Suppose 0 = -0*h - 3*h - h. Factor -8*w**2 + h*w - 2*w + 8 - 154*w**3 + 156*w**3.
2*(w - 4)*(w - 1)*(w + 1)
Factor 17/3*o - 20 - 1/3*o**2.
-(o - 12)*(o - 5)/3
Suppose -5*b = -3*c, c + 15*b - 11 = 13*b. Let f(z) be the second derivative of -1/2*z**4 - 1/15*z**6 - 3/10*z**c - 1/3*z**3 + 13*z + 0 + 0*z**2. Factor f(s).
-2*s*(s + 1)**3
Suppose 1144*n + 137*n**3 - 2704 - 1404813*n**4 + 1404815*n**4 - 31*n**3 + 1452*n**2 = 0. What is n?
-26, -2, 1
Let w(p) = -p - 5. Let j be w(-2). Let a be (-62)/(-6) - j/(-9). What is m in -a*m - 3*m**5 - 2*m**3 + 14*m - 5*m**4 + 6*m**2 + m**5 - m**4 = 0?
-2, -1, 0, 1
Let y(f) = -17*f**2 + 488*f + 1026. Let v(r) = -4*r**2 + 122*r + 256. Let s(i) = -9*v(i) + 2*y(i). Suppose s(q) = 0. What is q?
-2, 63
Let c = 1747/60 - 569/20. Factor 16/3*z + 32/3 + c*z**2.
2*(z + 4)**2/3
Let t be ((9/28)/(15/20))/(2/14). Let f(x) be the third derivative of 0*x - x**2 + 0*x**4 - 1/12*x**t + 0 + 1/120*x**5. Factor f(b).
(b - 1)*(b + 1)/2
Let z = -842911 + 842915. Factor c + 1/3*c**z + 0 - 5/3*c**2 + 1/3*c**3.
c*(c - 1)**2*(c + 3)/3
Factor 157937 + 964348 + 503020 + 772403 + 5364*r + 3*r**2.
3*(r + 894)**2
Factor 57*c**2 + 4095/4*c - 4563/2 + 3/4*c**3.
3*(c - 2)*(c + 39)**2/4
Let q(x) = 5*x + 14. Let a be q(-2). Determine m so that -6 + 4*m**3 + m**4 - m**4 - 2*m**a - 7*m + 3*m + 8*m**2 = 0.
-1, 1, 3
Let k(p) be the first derivative of 3/2*p**2 - 4*p - 1/5*p**5 - 12 - 3/4*p**4 + 5/3*p**3. Factor k(u).
-(u - 1)**2*(u + 1)*(u + 4)
Factor 0 + 1/2*j**2 - 360*j.
j*(j - 720)/2
Let g(r) be the second derivative of -r**4/42 - 20*r**3/7 + 61*r**2/7 + 7*r + 85. Find h, given that g(h) = 0.
-61, 1
Suppose 0 = -3*c - 0 - 3, g - 2 = c. Let p(r) = -2*r**3. Let q(v) = 20*v**3 + 45*v**2 - 50*v + 15. Let w(k) = g*q(k) + 15*p(k). Factor w(i).
-5*(i - 3)*(i - 1)*(2*i - 1)
Let k = 3/17348 + 208119/329612. Factor 0 + 2*p**2 + k*p - 14/19*p**3.
-2*p*(p - 3)*(7*p + 2)/19
Let t(b) be the second derivative of -11*b**6/90 + 23*b**5/60 + 31*b**4/36 - b**3/6 + 3750*b. What is x in t(x) = 0?
-1, 0, 1/11, 3
Factor -82*i + 13*i**2 + 144 + 6*i**2 + 4*i**2 - 60*i + 2*i**3 - 27*i**2.
2*(i - 9)*(i - 1)*(i + 8)
Let x(v) be the first derivative of -2/33*v**3 + 0*v - 8/11*v**2 - 13. Factor x(m).
-2*m*(m + 8)/11
Let p = 14 - 2. Suppose -6 = -c + p. Determine x, given that 36*x**2 + 12*x + 3*x**5 + x**3 + 35*x**3 + c*x**4 + 3*x**3 = 0.
-2, -1, 0
Suppose 2*h + 5*w = 43, -3*h - 2*w = 3*w - 47. Let o(p) be the second derivative of 9/7*p**3 + 14*p + 6/7*p**2 + 6/35*p**5 + 6/7*p**h + 0. Factor o(r).
6*(r + 2)*(2*r + 1)**2/7
Let j(p) = -12*p**2 + 8537*p - 25279. Let t(g) = -8*g**2 + 5695*g - 16853. Let u(x) = -5*j(x) + 7*t(x). Suppose u(k) = 0. What is k?
3, 702
Find r such that 51/2*r**3 - 51/2*r + 3/2*r**4 + 126 - 255/2*r**2 = 0.
-21, -1, 1, 4
Sup