)/5
Let g(d) be the second derivative of d**7/28 + 22*d**6/5 - 543*d**5/20 + 137*d**4/2 - 367*d**3/4 + 69*d**2 + 1141*d. Find l such that g(l) = 0.
-92, 1
Let q(r) be the first derivative of 4*r**4 + 14*r**3 + 18*r**2 + 2/5*r**5 + 0*r - 28. Solve q(z) = 0 for z.
-3, -2, 0
Let q(f) be the third derivative of 7*f**2 + 0*f + 0 + 0*f**3 + 1/95*f**5 - 1/1140*f**6 - 3/76*f**4. Suppose q(z) = 0. Calculate z.
0, 3
Let l be ((-230)/(-552))/(-7 + (0 - -2)/(272/1037)). Let a = 2/83 + 160/249. Factor 0 - l*c**2 - a*c.
-2*c*(c + 1)/3
Let g be 163150/(-4518) + 49/1. Factor g + 6*a - 2/9*a**2.
-2*(a - 29)*(a + 2)/9
Let g(c) be the second derivative of -c**7/27 + 11*c**6/135 + 83*c**5/90 - 17*c**4/18 - 32*c**3/3 - 12*c**2 + 2*c + 1010. What is q in g(q) = 0?
-2, -3/7, 3
Let u(d) be the third derivative of d**5/90 - 8*d**4/3 - 663*d**2 - d. Factor u(h).
2*h*(h - 96)/3
Let h(o) = 2*o**2 - 54*o + 128. Let k(g) be the first derivative of 0*g + 44 + 1/2*g**2. Let x(z) = -2*h(z) - 44*k(z). Factor x(d).
-4*(d - 8)**2
Factor -64*q**2 + 155 - 4*q**3 + 1004*q - 1699 + 608.
-4*(q - 9)*(q - 1)*(q + 26)
Let q(d) be the third derivative of d**6/60 - d**5/6 - 3*d**4/4 + 15*d**3 + 308*d**2. Factor q(z).
2*(z - 5)*(z - 3)*(z + 3)
Let d(f) = 19*f**3 - 3*f**2 + f + 2. Let l be d(1). Suppose -18*t - 3*t**2 - l*t + 75*t - 17*t - 15*t - 3 = 0. What is t?
1
Let d(h) = 17*h**2 + 29*h - 34. Let a(x) = 0*x**2 - 2*x**2 - 11 + 10 + 0*x**2 + x. Let u(g) = -6*a(g) - d(g). Find t such that u(t) = 0.
-8, 1
Let i = 355 - 544. Let n = i - -191. Suppose -9/4*m**n + 0*m + 3/4*m**3 + 0 = 0. Calculate m.
0, 3
Let w(n) be the second derivative of n**2 - 95*n - 3/140*n**5 + 0 + 1/6*n**4 + 47/42*n**3. Solve w(v) = 0.
-2, -1/3, 7
Suppose 64/3 + 100/3*m**4 + 112*m - 416/3*m**2 - 28*m**3 = 0. What is m?
-2, -4/25, 1, 2
Let z(g) be the third derivative of -g**6/720 + g**5/80 - g**4/24 - 2*g**3 - 8*g**2. Let i(v) be the first derivative of z(v). Suppose i(h) = 0. What is h?
1, 2
Suppose -3*f + 2*l + 18 = -4*f, 0 = 4*l + 109 - 69. Factor -4/3*u**5 + 0 + 4/3*u**4 - 16*u**f + 0*u + 32/3*u**3.
-4*u**2*(u - 2)**2*(u + 3)/3
Let u = 4/1839 - -1799/18390. Let a(j) be the third derivative of 41*j**2 - 2/5*j**3 - u*j**4 - 1/100*j**5 + 0 + 0*j. Factor a(d).
-3*(d + 2)**2/5
Solve -616/3 + 470/3*x - 2/3*x**3 + 148/3*x**2 = 0.
-4, 1, 77
Suppose 2*j - 3*z + 4 = 0, -4*j + 33*z - 37*z = 48. Let h be -6 + 1/j*-51. Factor -9/4*f + h*f**2 + 27/8.
3*(f - 3)**2/8
Suppose 3*l - 5*f = l + 31, 2*l + 5*f = -19. Let y(p) be the first derivative of 0*p + 9 - 1/5*p**l - 6/5*p**2. Factor y(t).
-3*t*(t + 4)/5
Suppose 5*v - 197*w + 198*w - 20 = 0, v - 23 = -4*w. Determine t so that 25*t**2 - 5/2*t**v + 90 - 165/2*t = 0.
3, 4
Let x = -6823 - -6825. Let h(f) be the third derivative of 0 + 1/6*f**4 + 2/15*f**5 + 0*f**3 + 1/30*f**6 - x*f**2 + 0*f. Find u, given that h(u) = 0.
-1, 0
Let r be 17 + -17 + (182 - (-1 + -1)). Factor 344*c**2 - 172*c**2 - 7*c - 9*c - r*c**2.
-4*c*(3*c + 4)
Let q = 2562477697/2641185 + -2/528237. Let s = q + -969. Factor 4/5 + s*n + 2/5*n**2.
2*(n + 1)*(n + 2)/5
Let y(a) = a**4 + 3*a**4 + 1430*a - 5*a**2 + 3*a**3 + 5 - 1435*a. Let v(d) = -4*d**4 - 2*d**3 + 6*d**2 + 6*d - 6. Let z(u) = 5*v(u) + 6*y(u). Factor z(k).
4*k**3*(k + 2)
Let t = -53178/5 - -10641. What is b in -t*b**2 - 18/5 - 87/5*b = 0?
-3, -2/9
Let o(f) be the third derivative of f**6/432 - f**5/80 - f**4/72 - 31*f**3/2 + 92*f**2. Let k(l) be the first derivative of o(l). Suppose k(i) = 0. What is i?
-1/5, 2
Let q(g) be the second derivative of 5/6*g**3 + 1/36*g**6 + 0 - 7/24*g**5 + 5/252*g**7 + 0*g**2 - 103*g - 5/72*g**4. Determine d, given that q(d) = 0.
-3, -1, 0, 1, 2
Let o(i) = 4*i**2 + 255*i + 240. Let x(f) = -67*f**2 - 48 + 24*f**2 + 21*f**2 - 51*f + 21*f**2. Let c(b) = -2*o(b) - 11*x(b). Factor c(g).
3*(g + 1)*(g + 16)
Let h(q) = q**2 + 7*q - 41. Let x be h(4). Let i be 27/6 + 12/(-8). Factor 22*l**2 - 24*l**2 - 5*l**x - 14*l**4 + 4*l - 11*l**i + 4*l**4.
-2*l*(l + 1)**2*(5*l - 2)
Let h(z) be the first derivative of -24/5*z + 66 + 13/5*z**2 + 8/15*z**3. Solve h(m) = 0.
-4, 3/4
Let n be 5256/730 + (-4)/5. Suppose 0 = -2*u + 4*u. What is b in 4*b**4 - 16/5*b**2 - 4/5*b**5 + n*b + u - 24/5*b**3 = 0?
-1, 0, 2
Let a = -7053 - -317387/45. Let s(q) be the first derivative of 13 - a*q**3 - 1/30*q**4 + 0*q**2 + 0*q. Find h such that s(h) = 0.
-1, 0
Suppose -220*m - 36*m + 14*m + 484 = 0. Let g(v) be the first derivative of 0*v - 26 + 1/21*v**3 + 1/14*v**m. Factor g(b).
b*(b + 1)/7
Let f(n) = n**4 + n + 1. Let s be (-6 - -7)/(2/(-4)). Let a(b) = 8*b**4 - 22*b**3 + 12*b**2 + 2*b + 2. Let h(d) = s*a(d) + 4*f(d). Factor h(r).
-4*r**2*(r - 3)*(3*r - 2)
Let b(u) be the first derivative of -u**5/5 + 39*u**4/4 - 59*u**3 + 241*u**2/2 - 102*u + 407. Solve b(h) = 0 for h.
1, 3, 34
Suppose 0 = 3*y + k - 11, -6*y = -185*k + 181*k + 44. Find f such that 33/2*f**2 - 3/4*f**3 + y + 0*f = 0.
0, 22
Let o(i) = 5*i**2 - i + 16. Let s be o(8). Factor 0*l - 21*l - 88*l**3 - 29*l - 78*l + 28*l**4 + 516*l**3 - s*l**2.
4*l*(l - 1)*(l + 16)*(7*l + 2)
Factor -3017*f**2 - 269*f - 316*f - 71*f + 3015*f**2.
-2*f*(f + 328)
Let r(j) be the first derivative of -j**6/15 + 28*j**5/25 - 7*j**4 + 304*j**3/15 - 29*j**2 + 20*j + 639. Find q, given that r(q) = 0.
1, 2, 5
Let s(o) be the first derivative of -2*o**5/35 + 3*o**4/14 + 10*o**3/3 - 39*o**2/7 - 20*o - 1549. Suppose s(m) = 0. Calculate m.
-5, -1, 2, 7
Suppose 4*c - 172 = 3*t + t, -5*t = -3*c + 129. Factor -290*x - 17 - x**2 + 265*x + c.
-(x - 1)*(x + 26)
Let j = 252 + -362. Let u = -110 - j. Factor 2*q + u + 2/3*q**2.
2*q*(q + 3)/3
Let r(t) be the first derivative of 4*t - 1/5*t**5 - 14*t**3 - 20 - 36*t**2 - 8/3*t**4. Let j(w) be the first derivative of r(w). Factor j(g).
-4*(g + 2)*(g + 3)**2
Determine n, given that 3881196000*n - 735075000*n**2 + 61875000*n**3 - 1953125*n**4 - 890371098 - 7736432957 + 942035975 = 0.
198/25
Factor -35*m**2 - 103*m**2 - 83*m**2 + 168*m + 4*m**4 + 169*m**2 - 24*m**3.
4*m*(m - 7)*(m - 2)*(m + 3)
Suppose -313 = -7*h + 16. Let f = h + -42. Let 0*y**2 - 3*y**2 + f*y + 2*y**2 - 4*y = 0. Calculate y.
0, 1
Let z(y) = 2*y**2 + 2*y + 1. Let s(i) = 8*i**2 + 13*i + 4. Let j(a) = -3*s(a) + 6*z(a). Let j(c) = 0. What is c?
-2, -1/4
Suppose -27 = -3*v + 9*r, 4 = -2*v - 174*r + 169*r. Factor -2*i**v + 2/3*i**5 + 4/3*i**2 + 0*i**4 + 0 + 0*i.
2*i**2*(i - 1)**2*(i + 2)/3
Let f = -2 - -8. Suppose f*j + 4*s = 5*j - 18, -2*s = -2*j + 14. Find o such that 8*o + 4*o**2 + 0*o**j + 0*o**2 - 8*o**2 = 0.
0, 2
Let q(j) be the third derivative of 23/270*j**5 - 1/27*j**4 - 4/105*j**7 + 1/45*j**6 - 10*j**2 - 4/27*j**3 + 0 + 0*j. Find k, given that q(k) = 0.
-1/2, 2/3
Factor -231/2 + 27*y - 3/2*y**2.
-3*(y - 11)*(y - 7)/2
Let i(p) = -200*p**2 + 3332*p - 18494. Let c(d) = -2*d**3 - 800*d**2 + 13328*d - 73975. Let j(o) = -2*c(o) + 9*i(o). Factor j(f).
4*(f - 17)**2*(f - 16)
Suppose -90 = -30*b + 35*b - t, 0 = -t. Let m be (-27)/b*(-12)/(-9). Factor 4/9*y + 0 - 10/3*y**m.
-2*y*(15*y - 2)/9
Factor 2345*c**3 - 31*c + 26*c**4 - c**5 - 24*c - 2289*c**3 - 24 + 2*c**2 - 4.
-(c - 28)*(c - 1)*(c + 1)**3
Suppose -7*z - 925 + 939 = 0. Let h(p) be the third derivative of -2*p**2 + 0 + 19/12*p**4 + 7/30*p**5 - z*p**3 + 0*p. Find r, given that h(r) = 0.
-3, 2/7
Suppose 5*g = 19 - 4. Let m = -111 + 113. Solve -13 + 43*z - z**m - 51*z - g = 0 for z.
-4
Suppose -5*z + 5*x - 21 = 89, -5*x = z + 16. Let k be (-25)/45*z/35. Factor -1/3*b - 1/3*b**2 + 1/3*b**3 + 0 + k*b**4.
b*(b - 1)*(b + 1)**2/3
Let j = -6166386/5 + 1233278. Let x be (-1)/(-3) - 3/(-45). What is a in -6/5*a**2 - x*a**3 + 0 - j*a = 0?
-2, -1, 0
Let b(g) = -102*g + 544. Let k be b(6). Let p be (-1204)/(-2142) + 8/k. Factor p*a**3 + 2/9*a**4 + 0 - 2/9*a**2 - 4/9*a.
2*a*(a - 1)*(a + 1)*(a + 2)/9
Solve 0 + 309/5*m + 3/5*m**2 = 0 for m.
-103, 0
Let i(w) be the second derivative of -w**6/10 + 87*w**5/80 - 109*w**4/32 + 17*w**3/16 + 9*w**2/4 + 100*w + 1. Let i(j) = 0. What is j?
-1/4, 1/2, 3, 4
Let h(t) be the third derivative of t**7/735 + t**6/42 + 13*t**5/210 - 2*t**4/7 - 108*t**2. Find z, given that h(z) = 0.
-8, -3, 0, 1
Let b = 279 - 289. Let x be (112/35)/((-28)/b). Factor 26/7*g - x - 6/7*g**2.
-2*(g - 4)*(3*g - 1)/7
Solve -129*n + 2*n**3 + 15*n**2 - 24*n**2 - 34*n**2 + 189*n = 0 for 