 5)**2
Let f(z) be the first derivative of z**4/4 - 285*z**3 + 183183*z**2/2 - 182329*z + 2111. Let f(q) = 0. Calculate q.
1, 427
Suppose -b + 5*r + 89 = 0, 506 - 454 = -4*b - 4*r. Find i such that i**2 - 5/4*i**3 - 1/4*i**b + 12 + 11*i = 0.
-4, -2, 3
Let b(t) be the third derivative of -4/15*t**5 + 80*t**2 + 0*t**3 + 0 - 1/10*t**6 + 0*t + 2/3*t**4. Factor b(l).
-4*l*(l + 2)*(3*l - 2)
Let m = -275 + 295. Let v(t) = 4*t**4 + 28*t**3 - 48*t**2 + 76*t. Let d(i) = i**3 + i + 1. Let r(u) = m*d(u) - v(u). Factor r(s).
-4*(s - 1)**3*(s + 5)
Let c be -3 + 1 - ((-23)/69)/((-3)/(-36)). Factor 30/11*p - 2/11*p**3 + 4/11*p**c - 72/11.
-2*(p - 3)**2*(p + 4)/11
Let y = -215 - -218. Factor -9*a - 60*a**2 - 33*a**4 - 5*a**5 - 31*a + 3*a**4 + 20*a - 65*a**y.
-5*a*(a + 1)**2*(a + 2)**2
Let l(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 1/55*q**5 - 2/385*q**7 + 1/220*q**6 - 1/616*q**8 + 10*q**2 + 3*q. Suppose l(s) = 0. Calculate s.
-2, -1, 0, 1
Let k(n) be the second derivative of n**4/72 + 19*n**3/36 - 23*n**2/3 + 29*n - 89. Find f such that k(f) = 0.
-23, 4
Let b(p) = -2*p**2 + 13. Let k be b(3). Let r be 5 - (-115)/(-15) - k - -3. Find h, given that -4/3*h**3 - 4*h + 0 + r*h**2 = 0.
0, 1, 3
Let p(i) be the second derivative of i**5/20 - 5*i**4/6 + 9*i**3/2 - 9*i**2 + 12*i - 12. Find q such that p(q) = 0.
1, 3, 6
Let s(w) = w**2 - 28*w + 100. Let t be s(26). Factor -121*q**3 - 144*q**2 - t*q**5 + 74*q**2 - 168*q**4 + 154*q**2 + 22*q**3 - 12*q.
-3*q*(q + 2)**2*(4*q - 1)**2
Let q(w) = 4*w**2 + 19*w - 9. Suppose 0 = 11*f - 59 - 18. Let t(z) = -3*z**2 - 18*z + 9. Let a(p) = f*t(p) + 6*q(p). Factor a(b).
3*(b - 3)*(b - 1)
Let j be 22/(-22)*(-2 + -1). Suppose 0 = j*l - 2*h - 100, -l + 104 = 2*l - h. Factor 3*u**3 + l*u - 3*u**5 + 9*u**4 - 12 - 36*u**2 - 9*u + 9*u + 3*u**2.
-3*(u - 2)*(u - 1)**3*(u + 2)
Let f = 710 - 1945. Let y = f - -6189/5. Determine d so that -6/5*d**3 - 4/5*d + 0 - y*d**2 = 0.
-2, -1/3, 0
Suppose -t - 37 + 39 = 0. What is z in -15*z**t + 433 + 425 - 838 + 5*z**3 = 0?
-1, 2
Let c be 473/66 + 153/(-34). Determine q so that -2/3*q**3 + c*q**2 + 4/3 - 10/3*q = 0.
1, 2
Let v(k) be the second derivative of 4*k**7/7 - 557*k**6/10 + 13521*k**5/10 + 23619*k**4/4 + 8964*k**3 + 5832*k**2 - 3511*k. Solve v(z) = 0 for z.
-1, -3/8, 36
Let g be (-5)/(53160/32864) - -8. Let c = 2/14619 + g. Determine m so that -32/11 + c*m**2 + 7/11*m**3 + 96/11*m = 0.
-4, 2/7
Let a(q) be the third derivative of 2*q**7/105 - 12*q**6/5 - 229*q**5/15 + 50*q**4 + 1079*q**2. Factor a(k).
4*k*(k - 75)*(k - 1)*(k + 4)
Let w(r) = -2*r**3 - r**2 + 2*r - 1. Let u be w(1). Let d be u/(-15) - 215/(-75). Suppose 0*o**3 - 9/2*o**2 + d*o + 3/2*o**4 + 0 = 0. Calculate o.
-2, 0, 1
Let o(c) be the second derivative of -512/5*c**2 - 32/15*c**3 + 0 - 178*c - 1/60*c**4. Suppose o(l) = 0. Calculate l.
-32
Let j(k) be the second derivative of k**5/60 - k**4/9 + k**3/18 + k**2 + 1156*k. Determine o so that j(o) = 0.
-1, 2, 3
Let w(t) be the third derivative of t**4/8 + 89*t**3/6 + 5*t**2 + 2. Let h be w(-29). What is g in 0*g + 0*g**h + 1/2*g**3 + 0 - 1/2*g**4 = 0?
0, 1
Let n be (7453/261)/(2*(-1)/(-12)). Let k = n - 512/3. Determine g so that 0 + k*g**3 + 10/3*g + 4*g**2 = 0.
-5, -1, 0
Solve 0*g - 172/13*g**4 + 26*g**3 + 0 + 2/13*g**5 - 168/13*g**2 = 0.
0, 1, 84
Let v(c) = -7*c**3 + 163*c**2 - 34*c - 274. Let k be v(23). Solve 5/2*u + u**k - 1/2*u**3 - 3 = 0.
-2, 1, 3
Let g = 665498 + -3327467/5. Find s such that 86*s**2 + 94/5*s**3 + 169/5 + 481/5*s + 1/5*s**5 - g*s**4 = 0.
-1, 13
Let p = -95/7898 + 51717/31592. Suppose p*i - 15/4 + 1/8*i**2 = 0. Calculate i.
-15, 2
Let l = -181933/425 + 7278/17. Let g(i) be the third derivative of 0*i + 2/175*i**7 - 1/40*i**4 - 11*i**2 + 0 + 0*i**3 - l*i**6 + 1/20*i**5. Factor g(x).
3*x*(x - 1)*(2*x - 1)**2/5
Let s(l) be the second derivative of -l**7/28 - 13*l**6/40 - 6*l**5/5 - 37*l**4/16 - 5*l**3/2 - 3*l**2/2 - 1807*l. Solve s(o) = 0 for o.
-2, -1, -1/2
Let g(p) = 35*p + 1262. Let k be g(-36). Let w(u) be the first derivative of 2*u**k + 0*u**3 - 1/4*u**4 + 1 + 0*u. Solve w(l) = 0 for l.
-2, 0, 2
Let g(f) = f**2 + 4*f + 7. Suppose -9*x - 102 = 25*x. Let i be g(x). Find p, given that 1/3*p**i - p**2 - 2/3*p**3 + 4/3 + 4/3*p = 0.
-1, 2
Solve 1/3*f**2 - 49/3*f + 16 = 0 for f.
1, 48
Let m be 10/12 + 3 + 63/(-18). Suppose 0 = 4*s - 12 - 0. Suppose 1/3*f**s - 2/3*f**2 - m*f + 2/3 = 0. What is f?
-1, 1, 2
Let i(o) = o**3 - 12*o**2 + o - 1. Let v(w) = -9*w**3 + 292*w**2 - 1229*w + 11. Let t(z) = 11*i(z) + v(z). Let t(n) = 0. Calculate n.
-87, 0, 7
Let v(x) be the second derivative of -1/18*x**3 - 3/2*x**2 + 1/4*x**4 + 1/60*x**5 + 0 + 8*x. Factor v(n).
(n - 1)*(n + 1)*(n + 9)/3
Let b be 920/100 - (33 - 24). Factor -l - b*l**2 - 6/5.
-(l + 2)*(l + 3)/5
Let h(k) be the third derivative of k**7/210 + 17*k**6/120 + 21*k**5/20 - 27*k**4/8 - 1146*k**2. Suppose h(x) = 0. What is x?
-9, 0, 1
Suppose 3*k + 17*v = 15*v + 100, 3*k - 116 = 2*v. Factor -12*u**3 + 28*u + 3*u**4 + 3*u**3 + 8 + k*u**2 + u**4 + 29*u**3.
4*(u + 1)**3*(u + 2)
Let c(m) = 2*m**2 - 11*m. Let y(z) = 24*z + 20*z + z**2 - 75*z + 25*z. Let o(i) = -3*c(i) + 5*y(i). Determine p, given that o(p) = 0.
0, 3
Let w(j) be the first derivative of -3*j**4/4 + 5*j**3 + 18*j**2 - 108*j - 59. Suppose w(i) = 0. Calculate i.
-3, 2, 6
Suppose -8*v + 6 = n - 7*v, 3*n = 2*v - 2. Let u(d) be the first derivative of -1 + 1/24*d**4 - 5/18*d**3 - 1/2*d + 7/12*d**n. Let u(l) = 0. Calculate l.
1, 3
Let b be ((-8)/(-30))/2*8. Let j be 32 + (-754)/(8 - -18). Factor -14/15*m - 4/15 - 2/5*m**j - b*m**2.
-2*(m + 1)**2*(3*m + 2)/15
Let c(l) be the second derivative of 0 - 18/7*l**2 + 27*l - 1/21*l**4 + 4/7*l**3. Factor c(n).
-4*(n - 3)**2/7
Let w(n) be the first derivative of n**8/1680 - n**7/210 + n**6/90 - 16*n**3/3 - 28. Let q(u) be the third derivative of w(u). Factor q(v).
v**2*(v - 2)**2
Solve -184*m**3 + 99675*m + 17152 - 132*m**3 + 4*m**4 + 3408*m**2 - 112795*m = 0.
4, 67
Let x(m) = -2*m**3 - 11*m**2 + 32*m - 25. Let b(a) = -a**3 - a. Suppose 4*k + 10 = 5*k. Suppose -42*f = -47*f + k. Let z(r) = f*x(r) - 6*b(r). Factor z(h).
2*(h - 5)**2*(h - 1)
Let b(v) = -5*v**4 + 25*v**3 - 4*v**2 - 31*v + 3. Let k(j) = -12*j**4 + 49*j**3 - 9*j**2 - 63*j + 7. Let i(u) = -14*b(u) + 6*k(u). Determine a so that i(a) = 0.
-28, -1, 0, 1
Let b(p) be the first derivative of p**4/12 + 62*p**3/9 + 176*p**2 + 1824*p + 1917. Factor b(y).
(y + 12)**2*(y + 38)/3
Let x(t) be the first derivative of -2*t**5/25 + 39*t**4/10 - 48*t**3 - 80*t**2 + 3717. Solve x(j) = 0 for j.
-1, 0, 20
Let l = -42 + 52. Suppose 2*r - l = 3*z - 3, -4*z - 4 = 0. Let p**2 + 6*p - 12 - 6*p**2 + 14*p + 13*p**r = 0. Calculate p.
-3, 1/2
Let m(q) = -9*q**2 + 25*q - 23. Let v(u) = 5*u**2 - 12*u + 11. Suppose 42 - 7 = -5*k. Let w(j) = k*v(j) - 4*m(j). Solve w(o) = 0.
1, 15
Let m(v) be the third derivative of 1/60*v**6 + 0*v**3 + 0 - 6*v**2 - 3*v + 0*v**4 - 1/30*v**5. Factor m(s).
2*s**2*(s - 1)
Let x(t) be the second derivative of 13*t**5/20 + 391*t**4/36 + 361*t**3/18 + 3*t**2/2 + 833*t - 2. Solve x(u) = 0 for u.
-9, -1, -1/39
Let -1/6*b**2 + 223/6*b + 112/3 = 0. Calculate b.
-1, 224
Suppose 0 = -3*b - 5*m - 337, -2*b + 17*m - 15*m = 230. Let v be b/(-22) - (8 - (6 + -3)). What is q in 32/11*q + 40/11 - v*q**3 + 2/11*q**2 = 0?
-2, 5
Suppose 1029*t + 95*t - 2787 = 195*t. Factor 3/4*y + 0 + 1/8*y**4 - 1/8*y**2 - 3/4*y**t.
y*(y - 6)*(y - 1)*(y + 1)/8
Determine k, given that 8*k**3 + 7/6*k**4 - 4/3 + 7*k + 91/6*k**2 = 0.
-4, -2, -1, 1/7
Find x such that -29/2*x**4 + 233/4*x**3 + 0*x + 0 - x**2 = 0.
0, 1/58, 4
Let x = 1 - -7. Suppose 2*c = x, 4*c = -2*f + 2*c + 24. Let 5*p**2 - 5*p + 13*p - f*p = 0. What is p?
0
Let j = 181202/10245 + -178/2049. Let 48/5*m + 2/5*m**2 + j = 0. What is m?
-22, -2
Let a be ((-84)/70)/(1/(-1910)). Determine z so that 624*z - 326*z**2 + 4*z**5 - 1402*z**2 + 504*z**3 + a*z + 20*z**4 - 1944 - 92*z**4 = 0.
3, 6
Let j(t) = -30*t**2 + 8*t - 784. Let n(d) = -4*d**2 + 2*d - 112. Let r(m) = -6*j(m) + 44*n(m). Suppose r(o) = 0. What is o?
-14, 4
Suppose r - 6*n - 7 = -5*n, 5*r = -5*n + 5. Let s(k) be the first derivative of -14 + 3/35*k**5 + 0*k**r - 3/7*k**3 - 3/7*k**2 + 0*k. Let s(d) = 0. Calculate d.
-1, 0, 2
Let g(i) be the second derivative of 61*i - 8/21*i**3