 - 8 - 26*c**2 + 200379*c**3 - 200393*c**3 - c**4 + c**5.
(c - 5)*(c + 1)**4
Let f(c) be the second derivative of 55/18*c**2 - 1 - 29*c - 1/108*c**4 + 1/9*c**3. Suppose f(y) = 0. Calculate y.
-5, 11
Let n = -3033 + 4646. Let r = n - 1609. Find z, given that -3/7*z + 6/7*z**r + 0*z**3 + 3/7*z**5 + 0 - 6/7*z**2 = 0.
-1, 0, 1
Let k be 11 + ((-576)/189 - 7) - 16/56. What is w in 2/3*w**2 + 0*w - 2/9*w**5 + 2/9*w**3 + 0 - k*w**4 = 0?
-3, -1, 0, 1
Determine o so that -30*o**2 - 500/7 - 2/7*o**4 - 550/7*o - 34/7*o**3 = 0.
-5, -2
Let w(b) be the third derivative of b**8/1260 + b**7/630 - b**6/135 + 45*b**3 + b**2 + 80*b. Let z(u) be the first derivative of w(u). Factor z(v).
4*v**2*(v - 1)*(v + 2)/3
Let f(n) be the first derivative of -1/4*n**4 - 1014*n**2 - 26*n**3 + 28 - 17576*n. Factor f(h).
-(h + 26)**3
Let -6*p**5 + 224 - 2848/3*p + 134*p**4 + 1392*p**2 - 2384/3*p**3 = 0. What is p?
2/3, 1, 6, 14
Let y(j) = j**4 - j. Suppose 25*w - 42 + 17 = 0. Let v(q) = q**5 + q**4 - 11*q**3 + 29*q**2 - 28*q + 8. Let h(g) = w*v(g) - 2*y(g). Let h(u) = 0. What is u?
-4, 1, 2
Let h(l) = l**3 + 3*l**2 - 22*l - 10. Let w be h(-6). Determine k, given that w*k**2 - 12*k**3 - 28*k**4 + 11*k**2 - 169*k**2 + 32*k + 132*k**3 = 0.
0, 2/7, 2
Let b(g) be the first derivative of 16*g**3/15 + 234*g**2/5 + 112*g - 4953. Find d, given that b(d) = 0.
-28, -5/4
Let x be 3174/184 - ((-18)/(-8) - 2). Let b(d) be the first derivative of 0*d**2 + 7*d**5 - 45/4*d**4 + x + 0*d + 10/3*d**3. Find u, given that b(u) = 0.
0, 2/7, 1
Let d(n) = 5*n**2 - 40*n - 298. Let k(v) = 7*v**2 - 38*v - 297. Let z(f) = 4*d(f) - 3*k(f). Let b be z(-8). Let -4/3 - b*y**2 - 4*y = 0. What is y?
-2/3
Let d(y) be the third derivative of -2/3*y**3 + 0 - 13/60*y**5 - 1/2*y**4 - 95*y**2 - 1/210*y**7 + 0*y - 1/20*y**6. Factor d(a).
-(a + 1)**2*(a + 2)**2
Let j(u) = -2*u**3 - 3*u**2 + u + 2. Let l be j(-2). Find a such that 4*a**4 + 13*a**4 + 291*a**2 - 171*a**3 - 45*a - 3*a**4 + 11*a**l + 2*a**4 - 54 = 0.
-1/3, 2/3, 3
Suppose -2*f - 5*a = 0, -24*f + 5*a + 5 = -27*f. Let c(i) = -4*i**2 + 14*i + 15. Let b(m) = -8*m**2 + 26*m + 29. Let x(n) = f*c(n) + 3*b(n). Factor x(u).
-4*(u - 3)*(u + 1)
Let d(v) be the first derivative of v**6/9 + 8*v**5/5 - 14*v**4/3 - 332*v**3/3 + 9*v**2 + 324*v + 545. Suppose d(s) = 0. What is s?
-9, -1, 1, 6
Let d be (2 - 10 - -20)/(51 - 36). Suppose 0 - 12/5*i**2 - 4/5*i - d*i**4 - 12/5*i**3 = 0. Calculate i.
-1, 0
Let x(s) be the first derivative of s**4/36 - 25*s**3/9 + 625*s**2/6 + 15*s + 268. Let r(h) be the first derivative of x(h). Find k, given that r(k) = 0.
25
Suppose -39*m - 88544 = -88661. What is l in 0 + 1/2*l**m - 2*l**4 + 3*l**2 + 1/2*l**5 + 0*l = 0?
-1, 0, 2, 3
Let y be (-12)/(43 - -17)*(0 + -10). Let f(q) be the second derivative of 0 - 27*q + 4*q**y - 4/3*q**3 - 1/2*q**4. Factor f(s).
-2*(s + 2)*(3*s - 2)
Let i(w) be the first derivative of -w**9/4536 + w**8/1260 - w**6/270 + w**5/180 - w**3 + 24*w - 165. Let t(l) be the third derivative of i(l). Factor t(n).
-2*n*(n - 1)**3*(n + 1)/3
Let w = -741 - -948. Find t, given that -415*t + t**3 + 207*t + t**2 - t**4 + w*t = 0.
-1, 0, 1
Suppose 0 = 4*a - 22 - 34. Suppose -a*b + 35 - 7 = 0. Factor -32 - 17*d**b - 152*d + 11*d**2 - 30*d**2.
-4*(d + 4)*(9*d + 2)
Let d(u) = 7*u**2 + 110*u - 707. Let q(f) = -20*f**2 - 330*f + 2074. Let z(c) = 14*d(c) + 5*q(c). Factor z(k).
-2*(k - 4)*(k + 59)
Let a = 285 - 212. Find t such that 118*t + 16 - 62*t + t**2 - a*t = 0.
1, 16
Let g(z) be the first derivative of -1/24*z**4 + 4/3*z + 5/6*z**2 + 21 + 1/18*z**3. Factor g(v).
-(v - 4)*(v + 1)*(v + 2)/6
Let j(o) be the second derivative of -o**5/4 + 25*o**4/12 + 485*o**3/6 + 455*o**2/2 - 3134*o. What is m in j(m) = 0?
-7, -1, 13
Solve 5/2*w**3 - 335/2*w**2 + 340 - 175*w = 0 for w.
-2, 1, 68
Let d(k) = -14*k - 8. Let w be d(-2). Suppose -16*r + 6*r + w = 0. Factor 2*q**2 + q**4 - 12*q**2 - r*q**3 + 11*q**2.
q**2*(q - 1)**2
Let -v**2 + 54*v + 45*v**5 - 24*v**2 - 59*v + 50*v**4 - 40*v**3 - 25*v**2 = 0. Calculate v.
-1, -1/9, 0, 1
Let z(t) = 13*t**3 - 5*t + 10*t**2 + 7 - 8*t**3 + 2*t**3 + t**3. Let j(w) = w**3 + w**2 - w + 1. Let s(u) = -21*j(u) + 3*z(u). Determine d so that s(d) = 0.
-2, -1, 0
Suppose -3*m + 2 = 2*l - 15, 2*m = 4*l - 10. Let s(z) be the first derivative of 0*z + 1/5*z**m + 9/10*z**2 + 21. Factor s(o).
3*o*(o + 3)/5
Let f = 1642433/942075 - 127/11925. Let l = f + -14/79. Factor -4/9*p**2 - 2/9*p**3 - 8/9 + l*p.
-2*(p - 1)**2*(p + 4)/9
Factor -176/7 - 2/7*f**2 - 92/7*f.
-2*(f + 2)*(f + 44)/7
Factor -1/4*m**3 - 9/4*m**2 + m + 9.
-(m - 2)*(m + 2)*(m + 9)/4
What is z in 0 + 30/17*z**5 - 2/17*z**4 + 2/17*z**2 + 12/17*z - 42/17*z**3 = 0?
-1, -3/5, 0, 2/3, 1
Let k be ((-4)/3)/(8 - (-684)/(-81)). Factor 121*i + 8*i**k + 0*i**3 + 22*i**2 - 109*i - 2*i**4.
-2*i*(i - 6)*(i + 1)**2
Let z = 239 + -241. Let f be 8/28 + (20/(-70) - z). Suppose -10/13*g + 10/13*g**3 - 6/13*g**f - 2/13*g**4 + 8/13 = 0. What is g?
-1, 1, 4
Let k be 54/(-36)*2/(-3)*1637. Determine r, given that 138*r - 4*r**2 - 328 - k + 378 + r**2 = 0.
23
Let x = 414437 - 414437. Factor 1/3*a**4 + 0 - 7/3*a**3 + 0*a**2 + x*a.
a**3*(a - 7)/3
Let d(s) be the third derivative of -s**5/12 - 265*s**4/4 - 43*s**2. Suppose d(v) = 0. Calculate v.
-318, 0
Let f(a) be the second derivative of a**5/20 - a**4/4 + a**3/3 + 2025*a. Factor f(u).
u*(u - 2)*(u - 1)
Let c = 69031290476093/42925 + -1608183819. Let n = c - 4/2525. Solve -2/17*x**3 - 38/17*x - n - 22/17*x**2 = 0 for x.
-9, -1
Let a = 154284/7 + -22040. Find w, given that a*w**3 - 6/7*w + 2/7*w**5 + 4/7*w**2 - 6/7*w**4 + 2/7 = 0.
-1, 1
Let c be 0/((-315)/(-273) + 4/(-26)). Factor -67*r**2 + c*r + 9*r**2 + 31*r + 4 - 16*r**3 - 6*r.
-(r + 4)*(2*r - 1)*(8*r + 1)
Let s(r) be the third derivative of -3*r + 4*r**2 - 49/20*r**5 + 0*r**3 - 6*r**4 - 1/40*r**6 + 0. Factor s(c).
-3*c*(c + 1)*(c + 48)
Suppose 3/7*y**5 - 384/7*y + 138/7*y**3 + 0 - 288/7*y**2 + 45/7*y**4 = 0. Calculate y.
-8, -1, 0, 2
Let y = -1058528/5 + 211706. Factor y*n**4 + 0 + 0*n + 1/5*n**5 - 8/5*n**3 + 0*n**2.
n**3*(n - 2)*(n + 4)/5
Find x, given that 75/4*x**4 + 0 - 145/4*x**3 - 5/2*x**2 + 0*x = 0.
-1/15, 0, 2
Determine r, given that 4/5*r**3 - 1804/5 - 4/5*r + 1804/5*r**2 = 0.
-451, -1, 1
Let t(b) be the second derivative of 1/24*b**4 + 5/12*b**3 - b - 16 - 3/2*b**2. Factor t(r).
(r - 1)*(r + 6)/2
Let r(k) be the second derivative of 2*k**6/15 + 18*k**5/5 + 12*k**4 - 260*k**3/3 + 150*k**2 + 24*k - 8. Factor r(d).
4*(d - 1)**2*(d + 5)*(d + 15)
Let j(g) be the first derivative of 2*g**3/9 + 7*g**2/3 - 196*g/3 - 687. Factor j(y).
2*(y - 7)*(y + 14)/3
Factor 13/4*h + 1/4*h**3 + 0 + 7/2*h**2.
h*(h + 1)*(h + 13)/4
Let v(c) be the second derivative of -c**7/10080 - c**6/960 - 7*c**4/6 + c**3 - 156*c. Let o(r) be the third derivative of v(r). Factor o(k).
-k*(k + 3)/4
Let i(p) be the second derivative of 25*p**7/399 - 932*p**6/57 + 106698*p**5/95 + 175216*p**4/57 + 141376*p**3/57 + 221*p + 17. Suppose i(d) = 0. What is d?
-4/5, 0, 94
Let 182*k**2 - 960 - 6*k**2 + 891*k**3 - 219*k - 895*k**3 + 1007*k = 0. Calculate k.
-5, 1, 48
Let y be ((-5)/5)/(-2 + 7/4). Suppose -2*t = -4*t + y. Factor 11*z**2 - 16*z**2 - 3*z**3 + 3*z**5 - 3*z**4 + 8*z**t.
3*z**2*(z - 1)**2*(z + 1)
Factor 78 - 41*l - 37/2*l**2 - 1/4*l**4 + 41/4*l**3.
-(l - 39)*(l - 2)**2*(l + 2)/4
Let m(u) be the third derivative of -u**6/300 - 14*u**5/25 + 3*u**4 + 688*u**3/15 - 1170*u**2. Factor m(q).
-2*(q - 4)*(q + 2)*(q + 86)/5
Let t be ((-136)/20)/(44/(-110)). Factor t - 1730*i**2 - i + 1729*i**2 + 3.
-(i - 4)*(i + 5)
Let s(g) be the second derivative of -g**6/80 - g**5/5 - 13*g**4/16 - 3*g**3/2 + 55*g**2 + g + 28. Let a(d) be the first derivative of s(d). Factor a(u).
-3*(u + 1)**2*(u + 6)/2
Suppose 3 = -10*n + 333. Factor 9*s**4 + 17*s**2 - n*s**3 - 4*s + s + 2*s**2.
s*(s - 3)*(3*s - 1)**2
Let u = 10339/23283 + 1/2587. Let k(d) be the first derivative of 1/12*d**4 + 0*d - 1 + 2/3*d**2 - u*d**3. Factor k(f).
f*(f - 2)**2/3
Let u = 526 + -524. Let r be -6 + 132/30 + u. What is c in 1/5*c + r*c**2 + 0 = 0?
-1/2, 0
Solve -160*v - 496*v**2 - 6/5*v**4 - 242/5*v**3 + 0 = 0.
-20, -1/3, 0
Let h = 34 + -32. Suppose 2*o = 2*t - 34, -6 = 2*o - h. Let -8*a - t*a**2 + 6 + 17*a**2 + 0*a = 0. Calculate a.
1, 3
Suppose 0 = 2*j - 1474 - 30