r s(f).
5*(f - 115)*(f - 4)*(f - 1)/6
Suppose 191588 = 56*d + 191420. Determine m, given that 74/11*m - 32/11*m**5 - 28/11*m**2 - 16*m**4 - 12/11 - 258/11*m**d = 0.
-3, -2, -1, 1/4
Let v(u) be the second derivative of 2*u**6/165 + 43*u**5/110 - 46*u**4/33 + 47*u**3/33 - 6813*u. Factor v(j).
2*j*(j - 1)**2*(2*j + 47)/11
Let k be (-2)/13 - 164/(-52). Let f = 6263/5004 - 2/1251. Let -f*t + 0 - 1/4*t**4 - 7/4*t**k - 11/4*t**2 = 0. Calculate t.
-5, -1, 0
Let v(p) be the first derivative of -3/2*p**5 + 3/8*p**6 + 23/8*p**2 + 135 + p - 2*p**4 + 13/6*p**3. Let v(b) = 0. Calculate b.
-1, -1/3, 1, 4
Let j be ((-3330)/(-63))/(-10) - (-21)/6*2. Let i(b) be the first derivative of 2/7*b**3 + 18/7*b + 9 - j*b**2. Factor i(y).
6*(y - 3)*(y - 1)/7
Let 55789*b**2 - 3114*b**5 + 30*b**4 + 6223*b**5 - 1519341*b + 4617605 - 3110*b**5 + 92205*b**2 - 6386*b**3 + 99*b**4 = 0. What is b?
5, 31
Let m(z) be the first derivative of 3*z**4/4 + 457*z**3 + 78660*z**2 + 155952*z + 150. Factor m(d).
3*(d + 1)*(d + 228)**2
Let f be 2*(27/18)/1. Suppose f*a**3 - 12 - 4*a**2 - 3*a**2 - 4*a**2 + 8*a**2 - 21*a - 3*a**2 = 0. Calculate a.
-1, 4
Let v(t) = t**3 - 24*t**2 + 23*t + 3. Let y be v(23). Factor 0*d**3 - 95*d - 43 - 30*d**2 - y*d**3 + 8*d - 25 + 8.
-3*(d + 1)*(d + 4)*(d + 5)
Let h be (-4 + (7 - 11))*(-1)/2. Suppose f - 6 = -h. What is c in -3*c**f + 0*c**2 + 3*c + c**2 + 5*c**2 - 3 - 3*c**3 = 0?
-1, 1
Let y(z) be the third derivative of 0 - 2*z**3 - 1/4*z**5 - 3/2*z**4 + 0*z - 28*z**2. Factor y(v).
-3*(v + 2)*(5*v + 2)
Suppose -3*f + 24 - 5 = 2*b, -15 = -3*f - 3*b. Suppose f*d - 16*d = -189. Factor 12*o**3 - 13*o - d*o - 16 - 17*o**3 - o**3 - 28*o**2.
-2*(o + 2)**2*(3*o + 2)
Factor -488/3*v**2 - 191/3*v**3 + 0 - 196/3*v + 2/3*v**4.
v*(v - 98)*(v + 2)*(2*v + 1)/3
Let m = -114 - -111. Let c(z) = -2*z**2 - 23*z + 28. Let v(f) = 4*f**2 + 45*f - 56. Let q(b) = m*v(b) - 7*c(b). Determine x, given that q(x) = 0.
-14, 1
Let k(c) be the first derivative of -4/13*c - 77 + 3*c**2 + 43/26*c**4 + 56/13*c**3. Factor k(p).
2*(p + 1)**2*(43*p - 2)/13
Let p(c) be the third derivative of -c**6/120 - c**5/4 - 9*c**4/8 + 81*c**3/2 - 4754*c**2. Factor p(s).
-(s - 3)*(s + 9)**2
Let x be ((-2)/(-12) - 42/36) + 10. Let m be x + (-8 - (-11 - -7)). Let 25/3*c - 5/3*c**3 + m*c**2 + 10/3 - 5/3*c**4 = 0. Calculate c.
-1, 2
Let b(p) be the third derivative of -p**7/42 - 49*p**6/12 - 95*p**5/3 - 235*p**4/3 - 3*p**2 + 29*p + 8. Factor b(w).
-5*w*(w + 2)**2*(w + 94)
Find q such that -11400/7*q - 1805000/7 - 18/7*q**2 = 0.
-950/3
Let c(a) = -1. Let v(g) = g**2 + 1004*g + 252009. Let f(n) = 5*c(n) + v(n). Factor f(q).
(q + 502)**2
Determine l, given that -4/9*l + 0 + 3406/9*l**2 + 3410/9*l**3 = 0.
-1, 0, 2/1705
Suppose -259 = -65*u - 403 + 274. Factor 2/9*r**u + 4/3*r - 80/9.
2*(r - 4)*(r + 10)/9
Factor -1/3*k**2 + 0 - 437/3*k.
-k*(k + 437)/3
Let y = 4 - 1. Let a(v) = 1217*v + 10958. Let w be a(-9). Determine m, given that 2/13 - 12/13*m**2 - 4/13*m**y - 2/13*m + 10/13*m**4 + 6/13*m**w = 0.
-1, 1/3, 1
Let v(a) be the second derivative of -a**6/30 + 551*a**5/20 - 8418*a**4 + 3063968*a**3/3 + 3114752*a**2 + 10*a - 6. Factor v(p).
-(p - 184)**3*(p + 1)
Suppose -3*x + 5*h = -256, 14*x - 13*x - 3*h - 84 = 0. Let n = x + -87. Factor n - 1/4*u - 1/4*u**2.
-u*(u + 1)/4
Suppose 3*h + 35 = -5*s, 3*s - 189 + 210 = 8*h. Factor 0*p + h*p**2 + 9/4*p**3 + 0 - 3*p**4 - 21/4*p**5.
-3*p**3*(p + 1)*(7*p - 3)/4
Let w(x) = 7*x**2 - 6*x - 8*x**2 + 13*x**2 + 3. Let a be (-11 - (-45)/5)*1. Let k(z) = -12*z**2 + 5*z - 2. Let u(v) = a*w(v) - 3*k(v). Solve u(o) = 0 for o.
0, 1/4
Let l(a) be the third derivative of -a**6/120 - 11*a**5/60 - a**4 + 64*a**2 + 8. Factor l(v).
-v*(v + 3)*(v + 8)
Let z = 9663/2 - 4819. Suppose 10/3*q**3 + 10*q**2 - z*q + 10/3 = 0. Calculate q.
-4, 1/2
Let s(t) = t**2 - 17*t - 138. Let h be s(23). Let d(q) be the third derivative of h + 2/3*q**3 + 1/12*q**4 - 1/30*q**5 + 0*q + 6*q**2. Factor d(w).
-2*(w - 2)*(w + 1)
Let t(d) be the first derivative of 0*d - 3/4*d**2 - 393/16*d**4 - 133/4*d**3 + 225. Factor t(v).
-3*v*(v + 1)*(131*v + 2)/4
Let k(p) be the first derivative of p**4/5 - 68*p**3/15 + 54*p**2/5 + 36*p + 6419. Let k(t) = 0. What is t?
-1, 3, 15
Let q(n) be the first derivative of -40 + 24/13*n - 11/13*n**2 - 2/39*n**3. Factor q(g).
-2*(g - 1)*(g + 12)/13
Let q(h) = h**2 - 12*h + 38. Let j be q(6). Factor 8*b**3 + 26*b**j - 615 + 174 - 168*b + 2*b**4 - 3*b**4.
-(b - 7)**2*(b + 3)**2
Let f be 2/(-4)*(-7 - -1). Let z = 642 + -624. Factor 2*c + f*c**2 - 5*c - z*c + 18.
3*(c - 6)*(c - 1)
Let u(h) = 617*h**2 + 5*h - 116. Let z(d) = 1235*d**2 + 12*d - 290. Let b(c) = 10*u(c) - 4*z(c). Find o, given that b(o) = 0.
-1/615, 0
Let n be -47 - -58 - 42/4. Let s(z) be the second derivative of -1/4*z**4 + 0*z**2 + 0 - n*z**3 - 9*z. Factor s(l).
-3*l*(l + 1)
Let p(u) = 5*u**2 + 4*u**2 - 29*u + 0*u**2 + 27. Let z(x) = 3*x**2 - 10*x + 9. Let v(n) = -2*p(n) + 7*z(n). Determine g so that v(g) = 0.
1, 3
Let c(s) be the second derivative of -12*s**3 - 3/2*s**5 - 6*s**2 + 0 + 176*s - 35/4*s**4 + 9/10*s**6 + 2/7*s**7. Determine f so that c(f) = 0.
-2, -1, -1/4, 2
Let 3/5*f**3 + 933/5*f**2 + 939/5 - 375*f = 0. Calculate f.
-313, 1
Let r = -2739041/3 + 913018. Suppose 0 + 4/9*s**4 + 25/9*s - r*s**3 + 10*s**2 = 0. Calculate s.
-1/4, 0, 5
Let p(y) = -2*y**2 + 32*y - 56. Let s be p(2). Let x(j) be the first derivative of s*j**2 + 4/3*j**3 - 16*j - 7. Suppose x(h) = 0. Calculate h.
-2, 2
Let q(h) be the second derivative of 389*h**4/84 - 1165*h**3/42 - 3*h**2/7 + 2615*h. Suppose q(i) = 0. Calculate i.
-2/389, 3
Let l(a) = -a**3 - 55*a**2 - a - 55. Let u be l(-55). Solve u*f**2 - 2/13*f**3 + 0 + 2/13*f = 0 for f.
-1, 0, 1
Let n(w) be the third derivative of -w**8/168 - 4*w**7/21 + 2*w**6/5 + 272*w**5/15 + 332*w**4/3 + 320*w**3 + 4496*w**2. Find g, given that n(g) = 0.
-20, -2, 6
Let w = -245 + 245. Solve -6*l + w*l**5 + 112*l**2 + 0*l - 4*l**5 + 8*l**3 - 56 + 2*l - 56*l**4 = 0.
-14, -1, 1
Let s = -33 + 44. Suppose 0 = 2*i - s + 7. Suppose -18 + 20*r + 15*r**i - 48*r**2 + 18*r - 18*r**3 + 19*r = 0. What is r?
-3, 1/2, 2/3
Suppose -14*m**4 + 16801*m**5 - 29*m**3 + 61*m**3 - 16802*m**5 = 0. Calculate m.
-16, 0, 2
Let s(t) be the third derivative of 25*t**8/56 + 23*t**7/42 - 79*t**6/24 + t**5/2 + 35*t**4/6 - 20*t**3/3 + 891*t**2. Let s(g) = 0. What is g?
-2, -2/3, 2/5, 1/2, 1
Let g = -387157 + 387160. Factor -3/5*j + 14/5*j**2 + 3*j**g - 2/5.
(j + 1)*(3*j + 1)*(5*j - 2)/5
Let t(j) be the third derivative of j**7/210 + j**6/24 + j**5/20 - 5*j**4/24 - 2*j**3/3 + 6185*j**2. Factor t(y).
(y - 1)*(y + 1)**2*(y + 4)
Let t = 903 + -891. Solve -15*v**3 + 26*v**3 + t*v**2 - 12 - 2*v - 9*v**3 = 0 for v.
-6, -1, 1
Let -169*i**2 + 16*i**4 + 175*i**2 - 636*i - 507*i**4 - 149*i**4 + 4*i**5 + 634*i**2 + 632*i**3 = 0. What is i?
-1, 0, 1, 159
Let w be ((-1078)/70)/(1/(-5)) - 4. Let 7215*h**2 - 11*h**4 + 4311 + w*h + 16*h**4 - 453*h + 380*h**3 - 11531 = 0. What is h?
-38, -1, 1
Let p = 15508/95 + -812/5. Let u = -369362 - -369364. Factor 18/19*l - p - 2/19*l**u.
-2*(l - 8)*(l - 1)/19
Let l(k) be the third derivative of -k**5 + 23*k**4/6 + 28*k**3/3 - 4552*k**2. Determine j, given that l(j) = 0.
-7/15, 2
Let q(n) be the second derivative of n**5/270 + 17*n**4/18 + 289*n**3/3 - 116*n**2 - 32*n. Let z(d) be the first derivative of q(d). Factor z(v).
2*(v + 51)**2/9
Let k = -486 - -812. Suppose 5*t + k = h + 11, 6 = -2*t. Factor h - 77*w + 0 + 40*w**2 - 343*w + 107*w**2.
3*(7*w - 10)**2
Let o = 106 + -48. Suppose o = 19*f - 17*f. Let 29*l + 2 - f*l - 2*l**2 = 0. Calculate l.
-1, 1
Let d(r) be the second derivative of r**5/160 + 89*r**4/96 + 2555*r**3/48 + 23275*r**2/16 - 2*r - 183. Factor d(t).
(t + 19)*(t + 35)**2/8
Let u = 849 + -429. Let l = u - 4618/11. Factor -4/11*h**4 + 0*h + 0*h**2 - 2/11*h**5 + 0 - l*h**3.
-2*h**3*(h + 1)**2/11
Let x = -716 + 722. Factor 7*p**4 + x*p**4 - 48*p**2 + 7*p**3 + 40 + 114*p**2 + 88*p + 13*p**3 - 11*p**4.
2*(p + 1)*(p + 2)**2*(p + 5)
Let h(i) = 3*i**2 - 5*i. Let n be h(2). Let r be 2/(-6) + n + (-1)/(-3). Let 6*w**2 - 5*w**4 - 84*w**3 - 16*w**r + 69*w**3 = 0. Calculate w.
-2, -1, 0
Let a(w) be the second derivative of -w**4/8 + 34*w**3 - 3468*w**2 + 490*w. Factor a(g).
-3*(g - 68)**2/2
Let z = 401 - 395. Let q be 