**2 + 0 - 13*h**3 - 7/2*h**4 + 1/4*h**5 + 51/4*h = 0.
-3, -1, 0, 1, 17
Let t be ((-7744)/1152)/(10/(-3)) - 2. Let j(i) be the second derivative of 0*i**2 + 23*i + 7/30*i**3 - t*i**4 + 0. Factor j(w).
-w*(w - 7)/5
Suppose 227 - 33 = 110*i - 466. Let c(v) be the first derivative of -i*v**2 - 23 + 0*v + 2*v**4 + 2/5*v**5 + 2/3*v**3. Find b such that c(b) = 0.
-3, -2, 0, 1
Let v be 32/(40/(-5)) - -9. Factor 20*b**3 + 9*b - 45*b - b - v*b**4 + 15*b**2 - 28*b - 5*b + 40.
-5*(b - 4)*(b - 1)**2*(b + 2)
Let q(p) be the third derivative of 7*p**6/12 + 25*p**5/12 - 5*p**4/3 - 10*p**3/3 + 990*p**2. Solve q(u) = 0 for u.
-2, -2/7, 1/2
Let o(u) be the third derivative of 5*u**8/336 - 5*u**7/42 - 19*u**6/24 + 53*u**5/12 + 115*u**4/4 + 60*u**3 + 2679*u**2. Let o(x) = 0. What is x?
-3, -1, 4, 6
Let l be (3/(-9))/(3/(-36)). Let f = 19354 + -19351. Factor -64/5 - 112/5*b - 13/5*b**f - 1/5*b**l - 12*b**2.
-(b + 1)*(b + 4)**3/5
Let f(z) = -8*z - 74. Let o be f(-36). Factor -102*c**2 + o*c**2 + 20 - 25*c - 107*c**2.
5*(c - 4)*(c - 1)
Let n(z) be the second derivative of -z**6/15 - z**5/5 + 2*z**4/3 + 8*z**3/3 + 129*z + 3. Factor n(j).
-2*j*(j - 2)*(j + 2)**2
Let t = 277381 - 277349. Find j, given that -956/3*j**2 - 540*j**3 + 48 - 252*j**4 + t*j - 36*j**5 = 0.
-3, -2/3, 1/3
Let a(t) be the third derivative of -t**6/600 + 173*t**5/300 - 17*t**4/4 + 27*t**2 - 20*t. Factor a(s).
-s*(s - 170)*(s - 3)/5
Let p(t) be the third derivative of -t**6/180 - 8*t**5/15 - 64*t**4/3 + 23*t**3/2 - t**2 - 7*t. Let k(f) be the first derivative of p(f). Solve k(c) = 0.
-16
Let c(u) = -u + 37. Let i be c(35). Factor 21*n**2 + 18880*n**3 - 20*n + 19*n**i - 18895*n**3.
-5*n*(n - 2)*(3*n - 2)
Determine k, given that 35*k**4 + 2980*k + 26*k**5 - 197*k**4 - 6*k**5 + 728 + 425*k**3 - 118*k**4 + 3445*k**2 - 28 = 0.
-2, -1/2, 7, 10
Let j = 1904237/132 - 14426. Let k(f) be the third derivative of -j*f**4 + 0*f + 0 + 1/330*f**5 + 0*f**3 - 49*f**2. Factor k(t).
2*t*(t - 5)/11
Let k be (0/3)/(34 + -26 + -10). Factor -13/7*m + 1/7*m**2 + k.
m*(m - 13)/7
Factor 182*x**2 + 792*x + 286*x**2 - 3888 - 67*x**2 - 3*x**4 + 34*x**3 + x**4 + 115*x**2.
-2*(x - 27)*(x - 2)*(x + 6)**2
Let m(b) be the third derivative of -b**7/630 + 3*b**5/10 - 5*b**4/6 + 2*b**2 + 16*b. Let q(y) be the second derivative of m(y). Factor q(r).
-4*(r - 3)*(r + 3)
Let y(n) = 30*n**4 - 6*n**3 - 60*n**2 + 189*n. Let z(o) = -3*o**4 - o**2 - o. Let i(s) = -y(s) - 9*z(s). Determine l so that i(l) = 0.
-5, 0, 3, 4
Solve -192/11 + 64/11*s + 4/11*s**2 - 2/11*s**3 = 0.
-6, 4
Let t(w) be the first derivative of 174 + 5/3*w**3 - 90*w**2 - 185*w. Factor t(v).
5*(v - 37)*(v + 1)
Suppose o + 2*n = 98, 13 - 1 = 4*n. Let b be (o/14 + -6)/(12/14). Factor 0 + 2/3*h**2 - b*h.
2*h*(h - 1)/3
Suppose -504*w + 28*w**3 + 127*w**2 - 58*w**2 + 648 - 2*w**2 + 2*w**4 - 41*w**2 = 0. Calculate w.
-9, 2
Let w(a) = a**2 - 6*a + 65. Let k(p) = p + 28. Let f(m) = 6*m + 142. Let x(l) = 3*f(l) - 16*k(l). Let v(b) = -2*w(b) - 7*x(b). Let v(r) = 0. What is r?
-4, 3
Determine k so that -972 + 4/5*k**2 + 1608/5*k = 0.
-405, 3
Let h(x) = x**2 + 47*x - 318. Let y be h(6). Let v(a) be the second derivative of -2/3*a**4 + 0*a**2 - 25*a + 1/10*a**5 + a**3 + y. Factor v(o).
2*o*(o - 3)*(o - 1)
Let w be (-5)/(45/(-288)) + -11. Let g be 9/w*((-60)/12 + 12). Let -9*j**2 - g*j + 0 - 15/4*j**3 = 0. What is j?
-2, -2/5, 0
Find v, given that -45*v**2 - 26*v + 10*v**3 - 60*v**4 + 40 + 65*v**4 + 16*v = 0.
-4, -1, 1, 2
Let r(u) be the third derivative of -u**5/330 - 116*u**4/33 - 53824*u**3/33 - 80*u**2 + 1. Solve r(o) = 0 for o.
-232
Let a(f) = -30*f - 2095. Let j be a(-70). Let c(z) be the first derivative of -35/2*z**2 + z**j - 25/4*z**4 + 10*z - 16 + 15*z**3. Factor c(n).
5*(n - 2)*(n - 1)**3
Determine y so that 85/4*y + 45/4*y**3 + 55/2*y**2 + 5 = 0.
-1, -4/9
Let g be (216/(-96))/((-5)/(20/12)). Let s(v) be the third derivative of -4*v**2 + 1/16*v**4 - g*v**3 + 1/10*v**5 + 0*v + 0. Factor s(b).
3*(b + 1)*(4*b - 3)/2
Let p be ((-1)/((-35)/10))/((-10)/(-15)). Let k be (6/14)/((-242)/(-242)). Factor -9/7 - p*l**2 + k*l**3 - 15/7*l.
3*(l - 3)*(l + 1)**2/7
Suppose -10*l = -15*l + 180. Determine u, given that 48*u + 4*u**2 - 45*u**3 - l*u**3 + 79*u**3 = 0.
-4, 0, 6
Find x such that 3*x**4 - 1014 - 22*x**3 - 96*x**2 + 276*x**2 - 47*x**3 + 3366 + 2604*x = 0.
-4, -1, 14
Suppose -16 = -9*p + 47. Suppose -p*z**2 - 5*z**2 - 14*z**3 + 8*z**4 + 10 + 14*z + 0*z**2 - 6 = 0. Calculate z.
-1, -1/4, 1, 2
Suppose 5*m = 5*l - 35, m - 4 = -2*l - 2*m. Solve 90*v**2 - 9 - 60*v**4 - 55*v - 16*v**l + 99*v**3 - 19*v**3 - 21 - 9*v**5 = 0 for v.
-3, -1, -2/5, 1
Suppose 0 = 14*c - 1451 + 16991. Let v = c - -1112. Find a, given that -4/9 + 1/9*a**v + 1/3*a = 0.
-4, 1
Let b(u) = 2*u - 65. Let w be b(35). Suppose -5*r + 12*r**2 + 4 + r**3 - w*r**3 - 5*r - 2*r + 0*r = 0. What is r?
1
Let k = -21352 + 21352. Let g(t) be the third derivative of k*t + 1/36*t**4 - 5/9*t**3 - 21*t**2 + 1/18*t**5 + 0 - 1/180*t**6. Suppose g(j) = 0. What is j?
-1, 1, 5
Let p(j) be the second derivative of -j**5/60 + 89*j**4/4 + 4146*j. Factor p(c).
-c**2*(c - 801)/3
Let s(k) = 185*k + 1112. Let z be s(-6). Let m(p) be the first derivative of 24/7*p + 10/7*p**z + 20 + 4/21*p**3. Factor m(v).
4*(v + 2)*(v + 3)/7
Let s(r) be the third derivative of r**9/3024 - r**8/560 + r**6/90 + 13*r**3/3 - 25*r**2 + r. Let y(x) be the first derivative of s(x). Solve y(j) = 0 for j.
-1, 0, 2
Let -1057058/13*q + 0 - 2908/13*q**2 - 2/13*q**3 = 0. Calculate q.
-727, 0
Let t(i) be the second derivative of i**4/3 + 74*i**3/9 + 88*i**2/3 - 6*i + 157. Factor t(n).
4*(n + 11)*(3*n + 4)/3
Let p(f) be the first derivative of -f**2 + 47*f - 194. Let g be p(21). Solve -2/5*b**4 - 2/5*b**g + 0*b + 2/5*b**2 + 0 + 2/5*b**3 = 0 for b.
-1, 0, 1
Let v(r) be the third derivative of -9/2*r**3 + 1/20*r**6 - 1/14*r**7 - 25 + 1/112*r**8 - 3/8*r**4 - 2*r**2 + 0*r + 7/10*r**5. Let v(q) = 0. What is q?
-1, 1, 3
Let g be (297/273 - 1) + -146 + (-107120)/(-728). Find r such that 2/13*r**2 - 18/13*r + g = 0.
1, 8
Let o(s) = s**3. Suppose 105 = -6*v + 3*v. Let y(h) = 2*h**3 - 2*h**2 + 3*h. Let r(l) = v*o(l) + 5*y(l). Let r(j) = 0. What is j?
-1, 0, 3/5
What is p in -66/7*p**4 + 0*p + 3/7*p**5 - 75/7*p**3 + 0 + 138/7*p**2 = 0?
-2, 0, 1, 23
Let c(y) be the first derivative of -617*y**3/3 + 504*y**2 - 411*y - 44. Let h(r) = 2*r**2 - 3*r + 1. Let p(i) = c(i) + 6*h(i). Factor p(z).
-5*(11*z - 9)**2
Let c(j) be the first derivative of 80*j + 30 + 6*j**2 - 2/3*j**3. Find y such that c(y) = 0.
-4, 10
Let g = 532 + -529. Let d = -139 + 141. Factor g*u**3 - d*u**2 + 1/2*u - 2*u**4 + 0 + 1/2*u**5.
u*(u - 1)**4/2
Find n such that 0*n**2 - 49/3*n + 1/3*n**3 + 40 = 0.
-8, 3, 5
Let u = 11407/1880 - 284/47. Let w(i) be the third derivative of -37*i**2 + 8*i**3 - i**4 - u*i**6 + 0 + 0*i - 7/20*i**5. Factor w(v).
-3*(v - 1)*(v + 4)**2
Factor 504*d**2 - 3051/2*d + 3/2*d**3 + 0.
3*d*(d - 3)*(d + 339)/2
Let m(k) = -44*k - 1927. Let y be m(-44). Let a(f) be the first derivative of -5/3*f**3 - y + 0*f - f**2 - 1/5*f**5 - f**4. Let a(n) = 0. Calculate n.
-2, -1, 0
Let l(o) = -1239*o**2 + 100848*o - 3502195. Let v(d) = -404*d**2 + 33616*d - 1167398. Let r(t) = 6*l(t) - 19*v(t). Solve r(n) = 0 for n.
764/11
Let s(j) be the second derivative of 17*j + 15/2*j**2 - 1/15*j**5 - 1/30*j**4 + 0 + 0*j**3 - 1/24*j**6. Let d(r) be the first derivative of s(r). Factor d(o).
-o*(5*o + 2)**2/5
Let n = -1/4304 + 1079/12912. Let a(m) be the first derivative of 27 - n*m**6 + 0*m**3 - 1/5*m**5 + 0*m + 0*m**4 + 0*m**2. Solve a(o) = 0.
-2, 0
Let y(l) = -66*l + 363. Let p(h) = -10*h - 726 + 89*h + 53*h - h**2. Let b(m) = 3*p(m) + 5*y(m). Factor b(w).
-3*(w - 11)**2
Let v(r) = 13*r**2 - 862*r + 178078. Let k(u) = -28*u**2 + 1727*u - 356155. Let z(n) = -6*k(n) - 13*v(n). Factor z(i).
-(i - 422)**2
Suppose -5*s + 221 = 4*i - 52, -4*s + 348 = 5*i. Suppose i = -5*k + 14*k. Factor 0 - 4*b**3 + 4*b + 8*b - k.
-4*(b - 1)**2*(b + 2)
Let t be 1/((-15)/(-18)) - 74/1295. Factor -1/7*k**2 - 16/7 - t*k.
-(k + 4)**2/7
Factor -152/3*a + 32 - 22/3*a**3 + 88/3*a**2 + 2/3*a**4.
2*(a - 4)*(a - 3)*(a - 2)**2/3
Let x(u) be the third derivative of 15/56*u**4 + 1/280*u**6 - 210*u**2 + 0*u + 11/140*u**5 + 0 - 27/14*u**3. Factor x(p).
3*(p - 1)*(p + 3)