 p = -632 - c. Factor -p*w**2 + 0 - 16/9*w.
-2*w*(w + 8)/9
Let k(j) be the third derivative of j**6/360 + 13*j**5/90 + 19*j**4/72 - 25*j**3/3 + 300*j**2 + 3. Suppose k(c) = 0. What is c?
-25, -3, 2
Suppose 2146*x**2 + 2470752034/3 - 2/3*x**3 - 2302658*x = 0. What is x?
1073
Let w = -2456/5 + 7373/15. Let o(b) be the first derivative of -3 + 0*b - 2/9*b**3 + w*b**2. Solve o(s) = 0.
0, 1
Suppose x = -2*p + 7*p - 5, -3*p + 3 = 0. Suppose x = 4*d + 96 - 104. Factor 1/7*f**d + 16/7 + 8/7*f.
(f + 4)**2/7
Let k(u) be the second derivative of -u**4/20 - 113*u**3/5 - 38307*u**2/10 + 3963*u. Find q, given that k(q) = 0.
-113
Let x = -474 - -476. Factor 554*g + 1221*g + 55*g + 5*g**3 - 25*g + 190*g**x.
5*g*(g + 19)**2
Let x = 322493/2 - 161244. Determine j so that 9 + x*j**3 + 75/2*j - 3/2*j**4 + 65/2*j**2 = 0.
-3, -1, -1/3, 6
Suppose 0 = 13*t + 6 - 58. Factor 5*r**2 - 2*r**4 - 3*r**t - 653*r**3 + 653*r**3.
-5*r**2*(r - 1)*(r + 1)
Let c(k) = k**3 + 13*k**2 + k - 130. Let n be c(-12). Suppose -2 + n + 10078*i - 10048*i + 5*i**3 + 25*i**2 = 0. What is i?
-3, -2, 0
Suppose 1035*f**2 - 1034*f**2 + 377*f + 601*f + 239121 = 0. Calculate f.
-489
Let c(w) be the first derivative of w**7/840 - 7*w**5/240 + w**4/16 + 217*w**2/2 + 184. Let i(v) be the second derivative of c(v). Determine b so that i(b) = 0.
-3, 0, 1, 2
Let a(f) be the third derivative of -17/180*f**5 + 1/630*f**7 - 1/360*f**6 + 0 - 104*f**2 + 7/24*f**4 + 0*f + 2*f**3. Find j, given that a(j) = 0.
-4, -1, 3
Let u(x) be the second derivative of 1/3*x**3 + 53*x - 1/6*x**4 + 0*x**2 + 0. What is r in u(r) = 0?
0, 1
Let h be 4*3/(-4) + 2 + 3. Find r such that h + 145*r + 30 - 3*r**2 + 18 - 12*r**2 = 0.
-1/3, 10
Let i be (-6)/(-90)*(12/(-15) - (-1485)/450). Factor 0*b + 5/3*b**3 + 8/3*b**2 + 0 + i*b**4.
b**2*(b + 2)*(b + 8)/6
Factor -1/5*k**2 + 48 + 239/5*k.
-(k - 240)*(k + 1)/5
Let c(l) be the first derivative of l**7/840 - l**6/480 - l**5/120 - 2*l**2 + 6*l + 112. Let z(r) be the second derivative of c(r). Factor z(s).
s**2*(s - 2)*(s + 1)/4
Let w be ((-11)/(-66))/((-21)/24)*(-2 + -4). Solve -2/7*j - 4/7 + w*j**2 - 4/7*j**4 + 4/7*j**3 - 2/7*j**5 = 0.
-2, -1, 1
Let y(n) be the third derivative of 1/720*n**6 + 50*n**2 + 0 + 11/48*n**4 + 0*n - n**3 - 1/36*n**5. Suppose y(m) = 0. Calculate m.
3, 4
Let j(q) be the first derivative of q**6/40 - q**5/20 - 3*q**4/4 + 18*q**2 + 39. Let f(c) be the second derivative of j(c). Factor f(r).
3*r*(r - 3)*(r + 2)
Let p = 33 + -28. Suppose m = -2*y + p, y + 16 = 4*m + 5*y. Factor -7*r + 7*r + 3*r**m - 9*r**2 + 12.
3*(r - 2)**2*(r + 1)
Let o(m) be the third derivative of m**7/70 - 3*m**6/5 + 81*m**5/20 - 7*m**4/4 - 60*m**3 + 1750*m**2 - 2*m. What is v in o(v) = 0?
-1, 2, 3, 20
Let i = -120031/2 - -60017. Let 33/4*c**3 - 3/2*c**2 - 33/4*c + i = 0. What is c?
-1, 2/11, 1
Let x = 626/335 + -358/335. Factor -32/5 + 6/5*k**2 + x*k.
2*(k - 2)*(3*k + 8)/5
Suppose -19*d = -17*d + 4*v + 32, -5*v - 45 = 0. Determine c, given that -26/5*c - 2/5*c**d + 28/5 = 0.
-14, 1
Let s(j) be the third derivative of -605*j**6/204 - 11*j**5/2 + 18*j**4/17 - 4*j**3/51 + 4*j**2. Let s(a) = 0. Calculate a.
-1, 2/55
Suppose 75 = 4*d - d. Let x = -20 + d. Factor -8*n**3 + 10*n**x - 15*n**5 + 14*n**4 - 6*n**4 + 3*n**5.
-2*n**3*(n - 2)**2
Let g(v) be the first derivative of -v**3/15 - 121*v**2/10 - 24*v - 232. Factor g(c).
-(c + 1)*(c + 120)/5
Let q(z) be the first derivative of -238 + 0*z - 4/3*z**3 + 1/8*z**4 + 4*z**2. Determine b so that q(b) = 0.
0, 4
Factor 0*q**2 + 0*q**3 + 0*q + 0 - 2/15*q**4.
-2*q**4/15
Let x be 8 + 0 + (47/(-6))/1. Let n(s) be the first derivative of 0*s**2 + 3/16*s**4 - 13 + x*s**3 + 1/20*s**5 + 0*s. Suppose n(p) = 0. What is p?
-2, -1, 0
Let g(l) be the second derivative of l**7/30 - 11*l**6/360 - l**5/30 - 40*l**2 + l - 3. Let z(d) be the first derivative of g(d). Find q, given that z(q) = 0.
-1/3, 0, 6/7
Suppose -22*b + 15*b + 196 = 0. Let w be 42/b*7/12. Factor -1/8*k**4 + w*k**2 - 9/4 + 15/8*k - 3/8*k**3.
-(k - 2)*(k - 1)*(k + 3)**2/8
Let j(f) be the third derivative of -289*f**7/42 - 187*f**6/12 + 1569*f**5/4 - 1305*f**4/2 + 450*f**3 - 3429*f**2. Let j(x) = 0. Calculate x.
-5, 6/17, 3
Let q(h) be the third derivative of 1/120*h**6 + 0 - 1/70*h**5 + 0*h + 0*h**3 - 230*h**2 + 0*h**4 - 1/1470*h**7. Find c such that q(c) = 0.
0, 1, 6
Let b = 300 + -256. Factor 52*w - 4*w**2 - 43 - b - 1.
-4*(w - 11)*(w - 2)
Let m = 3593 + -3587. Let g(r) = -r + 7. Let t be g(3). Factor t*c**4 + 4*c**4 - 2*c**5 - m*c**3 - c**4 - 15*c**4.
-2*c**3*(c + 1)*(c + 3)
Let z be (-1 - 0) + 3 + (-2 - 2). Let n(o) = 105*o**3 - 50*o**2 - 120*o + 35. Let v(r) = -15*r**3 + 7*r**2 + 17*r - 5. Let b(f) = z*n(f) - 15*v(f). Factor b(p).
5*(p - 1)*(p + 1)*(3*p - 1)
Let s(z) be the first derivative of -4*z**5/5 + 5*z**4 - 28*z**3/3 + 6*z**2 + 621. Factor s(v).
-4*v*(v - 3)*(v - 1)**2
Let l(x) = -x**3 + 4*x + 3. Suppose 2*g = -5*n - 9, -3*g + 2*g = 5*n + 7. Let c be l(g). Factor 3*p**c - 7*p**2 - 8*p**2 + 3*p**3 - p**3.
5*p**2*(p - 3)
Suppose 4*t = 5*t - 5, -t = -2*p + 489. Suppose -3*m - 61 = -3*y - p, -5*m + 3*y = -316. Factor -m*c**4 + 69*c**5 + 5*c - 49*c**5 - 7*c**2 + 75*c**3 - 28*c**2.
5*c*(c - 1)**3*(4*c - 1)
Let s(u) be the first derivative of -u**4/6 + 20*u**3/3 - 19*u**2 - 130*u + 23. Let b(c) be the first derivative of s(c). Factor b(x).
-2*(x - 19)*(x - 1)
Let -652 - 313*d - 632 + 1286 + 311*d**2 = 0. Calculate d.
2/311, 1
What is r in -2/5*r**3 - 116/5*r + 0 + 118/5*r**2 = 0?
0, 1, 58
Let q(a) be the second derivative of a**4/28 + 2332*a**3/7 + 8157336*a**2/7 - 88*a - 5. Factor q(i).
3*(i + 2332)**2/7
Let u = -459 + 463. Find o such that -3*o**2 + 21*o**3 + 4*o**2 - 7*o**2 - 4*o**2 + u*o**2 = 0.
0, 2/7
Let a(l) be the first derivative of l**4/21 - 4*l**3/3 + 26*l**2/7 + 37*l + 120. Let r(x) be the first derivative of a(x). Determine d, given that r(d) = 0.
1, 13
Let p(b) be the first derivative of -1/10*b**5 + 1/6*b**4 + 1/3*b - 3/8*b**2 + 1/72*b**6 + 1/18*b**3 - 56. Determine z, given that p(z) = 0.
-1, 1, 4
Suppose 402/5*b**2 + 16/5 - 18*b**3 - 172/5*b = 0. What is b?
2/15, 1/3, 4
Let y(l) be the second derivative of l**5/10 - 2*l**4/3 - 89*l**3/3 - 84*l**2 + 4468*l. Solve y(m) = 0.
-7, -1, 12
Let t(c) = 2416*c - 19325. Let y be t(8). Let b(f) be the second derivative of -2/57*f**y + 1/38*f**4 + 0 + 0*f**2 + 45*f + 1/38*f**5. Solve b(s) = 0 for s.
-1, 0, 2/5
Let v(h) = h**2 + 14*h + 42. Let k be v(-12). Determine a so that 48*a - 2*a**3 - 16 + k*a**3 + 8*a**3 + 0*a**3 - 4*a**4 - 52*a**2 = 0.
1, 2
Let d(q) = -329*q + 25337. Let j be d(77). Factor 276/5*h**3 - 596/5*h**2 - 162/5 + 2/5*h**5 - 42/5*h**j + 522/5*h.
2*(h - 9)**2*(h - 1)**3/5
Let b(f) be the third derivative of f**7/210 + f**6/10 + 7*f**5/12 + 3*f**2 - 3*f + 21. Factor b(o).
o**2*(o + 5)*(o + 7)
Factor 57/7*j**2 - 3/7*j**3 - 228/7*j - 288/7.
-3*(j - 12)*(j - 8)*(j + 1)/7
Let b = 7/14913 - -8619637/164043. Suppose -b - 68/11*s - 2/11*s**2 = 0. Calculate s.
-17
Let w(h) = 10*h**3 - 4*h**2 + 2*h + 4. Suppose 0 = 16*j - 7 - 9. Let i(d) = 2*d**3 + d**2 - d + 1. Let n(c) = j*w(c) - 4*i(c). Factor n(m).
2*m*(m - 3)*(m - 1)
Let a(n) be the second derivative of -2*n**5/15 + 217*n**4/6 + 163*n**3/9 + 1660*n. Factor a(c).
-2*c*(c - 163)*(4*c + 1)/3
Let w = -236925 - -236927. Let 3/4*b**w + 9/4*b + 0 = 0. What is b?
-3, 0
Let b be 25/(-60)*(-2*(50/(-20) - -7) + 6). Let b*t**4 + 7/4*t**2 - 51/4*t**3 + 7/4*t**5 + 11*t - 3 = 0. Calculate t.
-3, -1, 2/7, 1, 2
Let p(u) be the second derivative of -7*u**7/24 + 77*u**6/20 + 65*u**5/16 - 211*u**4/24 - 23*u**3/2 - 5*u**2 + 16*u - 19. What is w in p(w) = 0?
-1, -2/7, 1, 10
Let g(m) = 18*m**2 - 48*m + 490. Let v(p) = 4*p**2 + 4*p + 2. Let h(a) = 2*g(a) - 10*v(a). Factor h(u).
-4*(u - 6)*(u + 40)
Let n(q) be the second derivative of -76*q + 7/4*q**5 + 0 + 5/3*q**3 - 95/36*q**4 - 1/2*q**6 + 0*q**2 + 5/126*q**7. Factor n(d).
5*d*(d - 6)*(d - 1)**3/3
Let v(s) be the second derivative of -2/3*s**3 + 0*s**2 + 0 + 79*s + 1/42*s**4. What is n in v(n) = 0?
0, 14
Suppose 63*g + 60*g - 2520 = 109*g. Let r(x) be the first derivative of 5/3*x**3 + g*x + 6 - 30*x**2. Factor r(z).
5*(z - 6)**2
Suppose -3*k - 108 = 2*l, -5*k = -l + 5*l + 216. Let r be 75/l + 2 + (-72)/144. Factor -r*p**4 + 0*p - 2/9*p**3 - 1/9*p**2 + 0.
