*h. Find r, given that p(r) = 0.
-1, 1, 211
Let m(q) = 35 - 3*q + 6*q - 48. Let y be m(6). Factor 12*c**y + 38*c**5 + 60*c**2 - 64*c**4 + 204*c**4 - 4*c**2 + 138*c**3 + 8*c.
2*c*(c + 1)**2*(5*c + 2)**2
Suppose -8*s = -36*s + 112. Let h(p) be the third derivative of 1/120*p**5 + 0 + 0*p + 4*p**2 - 1/3*p**3 + 1/16*p**s. Solve h(y) = 0 for y.
-4, 1
Factor 2/5*s**2 - 47/5*s - 44.
(s + 4)*(2*s - 55)/5
Suppose -68 = -s - s - 5*q, 4*s + q - 118 = 0. Factor 47*j + 24*j**2 + 86*j + 26*j**2 - s*j - 52*j**2 - 1352.
-2*(j - 26)**2
Let s(m) be the second derivative of 91/2*m**4 - 1352/3*m**3 + 0 + 1/30*m**6 - 43*m - 2*m**5 + 2197/2*m**2. Find n such that s(n) = 0.
1, 13
Suppose -3*i = i - 12. Let u(k) = -k**3 + 15*k**2 - 6*k + 93. Let f be u(15). Let 4 - 2 - 34*j**3 - f*j + 35*j**i + 0*j = 0. Calculate j.
-2, 1
Let i(f) be the first derivative of 0*f + 40/3*f**3 + 26 - f**5 + 5/4*f**4 - 30*f**2. Determine t, given that i(t) = 0.
-3, 0, 2
Let r(h) = 10*h**2 - 1778*h - 3. Let y(w) = -52*w**2 + 8888*w + 16. Let d(t) = 16*r(t) + 3*y(t). Find p, given that d(p) = 0.
0, 446
Let d(j) be the first derivative of 2*j**3/21 - 12*j**2/7 - 26*j/7 + 996. Let d(g) = 0. What is g?
-1, 13
Suppose 8*i + 5*p = 3*i, 10 = 2*i - 3*p. Let g(a) be the first derivative of 4/3*a + 21 - 5/9*a**6 - 11/3*a**4 - 12/5*a**5 + a**i - 16/9*a**3. Factor g(l).
-2*(l + 1)**4*(5*l - 2)/3
Let t(v) be the first derivative of v**6/150 + 4*v**5/75 + v**4/30 - 4*v**3/5 + 45*v**2/2 + 31. Let i(u) be the second derivative of t(u). Factor i(j).
4*(j - 1)*(j + 2)*(j + 3)/5
Let n(d) = d**3 + 11*d**2 + 26*d - 20. Let v be n(-6). Let r(w) be the second derivative of 0 - 5/12*w**v + 0*w**3 + 10*w**2 - w. Find b such that r(b) = 0.
-2, 2
Let b(s) = s**3 - s + 1. Let f(j) be the third derivative of j**6/60 - 3*j**5/10 - 5*j**4/6 + 5*j**3/6 + 2*j**2 + 39*j. Let n(a) = -5*b(a) + f(a). Factor n(i).
-3*i*(i + 1)*(i + 5)
Let c(v) be the second derivative of 2*v**7/21 - 23*v**5/5 + 22*v**4 - 136*v**3/3 + 48*v**2 - 821*v. Suppose c(g) = 0. Calculate g.
-6, 1, 2
Let n(u) be the first derivative of 1/2*u**2 - 4*u + 3/2*u**3 - 1/10*u**5 + 54 - 1/4*u**4. Let n(r) = 0. What is r?
-4, -1, 1, 2
What is j in -16/5*j**3 + 0 - 10*j**2 - 34/5*j = 0?
-17/8, -1, 0
Let m = -4259 + 4270. Let t(n) be the first derivative of -2/39*n**3 - m - 1/13*n**2 + 0*n. Suppose t(z) = 0. Calculate z.
-1, 0
Let k(p) be the first derivative of 44*p**3/3 + 122*p**2 + 120*p + 9302. Suppose k(t) = 0. Calculate t.
-5, -6/11
Let i be 2/42 + 10/35. Suppose -4 = 2*m - 3*s, 0 = -4*m + 3*s + 4 - 6. Find n, given that -m + 2/3*n + i*n**2 = 0.
-3, 1
Let 21/2*p + 5/2*p**5 + 0 + 24*p**4 + 51*p**3 + 40*p**2 = 0. Calculate p.
-7, -1, -3/5, 0
Suppose 2*w - 264 = 5*w. Let d = 93 + w. Factor 40*b**3 + 5*b**5 - 3*b**5 + 3*b**d - 20*b**2 + 3*b**4 - 28*b**4.
5*b**2*(b - 2)**2*(b - 1)
Let l(m) be the second derivative of -m**6/90 + 11*m**5/60 - 5*m**4/18 - 4*m**3 + 1396*m + 2. What is c in l(c) = 0?
-2, 0, 4, 9
Let t(j) be the second derivative of 7/27*j**4 - 1/9*j**5 + 0*j**2 + 2/135*j**6 + 4*j + 0 - 2/9*j**3. Let t(f) = 0. What is f?
0, 1, 3
Let l = 58806 - 176416/3. Find k such that l*k**2 - 2/3 - 1/3*k**3 + 1/3*k = 0.
-1, 1, 2
Let 80 - 588778*j**2 + 643067*j**2 + 1 + 1171*j - 5365*j = 0. What is j?
9/233
Let a(x) = 7*x**3 - 2*x**2 - x. Suppose 39*i + 19 = -20. Let h(c) = -3*c**3 + c**2. Let u(l) = i*a(l) - 2*h(l). Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let z(n) be the third derivative of -2*n**7/105 - 89*n**6/15 - 10021*n**5/15 - 31150*n**4 - 735000*n**3 + 2*n**2 - 18. Factor z(g).
-4*(g + 14)**2*(g + 75)**2
Suppose f = 3*f - 8. Find t such that 62*t - 27*t + f*t**2 + 484 + 53*t = 0.
-11
Let j = 6623 + -6620. Let x(z) be the first derivative of 1/5*z**4 - 19 + 11/10*z**2 - 13/15*z**j - 2/5*z. Suppose x(g) = 0. What is g?
1/4, 1, 2
Let w(l) be the third derivative of -l**5/20 - 1155*l**4/4 - 2309*l**3/2 + 11841*l**2. Suppose w(r) = 0. Calculate r.
-2309, -1
Let c(m) be the second derivative of 9/10*m**2 + 7/10*m**3 - 156*m + 0 + 3/100*m**5 + 1/4*m**4. What is f in c(f) = 0?
-3, -1
Let d be 5 + (55/(-15) - 6/(-9))/1. Let p(o) be the first derivative of 5 + 0*o**d + 1/6*o**6 + 0*o + 1/8*o**4 - 3/10*o**5 + 0*o**3. Factor p(g).
g**3*(g - 1)*(2*g - 1)/2
Let i(s) = s**2 + 5*s - 25. Let g(h) = -2*h**2 - 8*h + 40. Let q = 341 - 336. Let t(n) = q*g(n) + 8*i(n). Let t(x) = 0. Calculate x.
0
Let x(f) = 8*f**3 - 123*f**2 + 393*f - 263. Let i(q) = 9*q**3 - 120*q**2 + 393*q - 264. Let r(t) = 5*i(t) - 6*x(t). Factor r(h).
-3*(h - 43)*(h - 2)*(h - 1)
Factor 0 - 2/7*s**2 + 782/7*s.
-2*s*(s - 391)/7
Determine a so that 262*a - 255 - 784 - 108*a**2 - 221 + 106*a**2 = 0.
5, 126
Let t(v) = -2*v**2 + 62*v + 58. Let d(y) = y - 35. Let h(k) = 4*d(k) - 2*t(k). Solve h(s) = 0 for s.
-2, 32
Let x(q) be the third derivative of -7*q**2 - 11*q**6 + 242/105*q**7 - 20*q**4 + 0 - 2*q + 313/15*q**5 + 32/3*q**3. Factor x(y).
4*(y - 1)**2*(11*y - 4)**2
Suppose 4*m + 184 = -4*t, -7*m = -5*t - 9*m - 236. Let n be 3 - (10 - 5 - t/(-21)). Suppose n*o**2 - 2/7*o + 0 = 0. Calculate o.
0, 1
Let a(l) = 105*l**2 - 520*l - 625. Let k(v) = 8*v**2 - 40*v - 48. Let p be (-1044)/(-26) - 16/(-104)*-1. Let m(y) = p*k(y) - 3*a(y). Solve m(i) = 0 for i.
-1, 9
Let w(h) = -2*h**3 - 47*h**2 - 116*h - 3. Let i(f) = f**3 + f**2 + 3*f - 1. Suppose 2*g - 1462 = -1464. Let y(l) = g*w(l) + 3*i(l). Factor y(x).
5*x*(x + 5)**2
Solve 1863/2 - 1/2*t**2 + 309*t = 0.
-3, 621
Let -9213/7 + 9216/7*p - 3/7*p**2 = 0. What is p?
1, 3071
Suppose 2 - 26 = -6*m. Let r = 25 + -14. Let -24*g**4 + 100*g - 10*g**3 + 105*g**2 + m - r*g**4 + 16 = 0. Calculate g.
-1, -2/7, 2
Let c be (-26)/(-65) - -4*1 - (-216)/(-540). Suppose -5*u + 11 = -4. Factor u*d**2 - 1/2*d**c - 5/2*d**3 + 0 + 0*d.
-d**2*(d - 1)*(d + 6)/2
Suppose 10*k - 1064 = 29*k. Let s be (k/16)/(-7) + (-3)/(-2). Factor -1/3*q**4 - 1 + 10/3*q + s*q**3 - 4*q**2.
-(q - 3)*(q - 1)**3/3
Let 25464*h**3 - h**4 - 50921*h**3 + 9*h**2 - 8 + 25459*h**3 - 2*h = 0. What is h?
-2, -1, 1, 4
Let u(x) = 220*x - 34. Let i be u(17). Let t be i/8 + (-36)/(-48). Let -463*w**2 + 0*w + t*w**2 + 2*w = 0. What is w?
-2, 0
Let b(i) be the third derivative of i**11/299376 + i**10/680400 - 143*i**5/60 + 133*i**2. Let d(u) be the third derivative of b(u). Solve d(k) = 0.
-1/5, 0
Suppose -38 - 16 + 18*q - 15*q**2 + 8*q**2 + 33*q = 0. What is q?
9/7, 6
Factor -4*z**4 + 158*z + 195*z - 373*z + 20*z**3 + 4*z**2.
-4*z*(z - 5)*(z - 1)*(z + 1)
Let z(r) be the second derivative of 5*r**7/42 - 2*r**6/3 - 16*r**5 + 380*r**4/3 + 200*r**3 - 2880*r**2 - 1637*r. Determine w, given that z(w) = 0.
-8, -2, 2, 6
Suppose -39*z = -36*z - 3, -l + 5 = 2*z. Solve 2*w**4 + 0*w**4 + 8*w**3 - 9*w**3 + 13*w**l + 21*w**2 + w**2 + 12*w = 0.
-3, -2, -1, 0
Let i(y) = -34*y**3 + y + 3. Let p be i(-1). Let q be p/(-12)*(-2)/8. Factor -1/4*m**3 + 0 - 1/2*m**2 + q*m.
-m*(m - 1)*(m + 3)/4
Let m(j) be the second derivative of -13/12*j**4 + 0 + 1/20*j**5 + 8/3*j**3 + 96*j**2 + 74*j. Suppose m(i) = 0. What is i?
-3, 8
Let k(n) = -156*n - 622. Let m be k(-4). Determine c so that 2/11*c**2 - m*c - 24/11 = 0.
-1, 12
Let g = 41518 + -1328575/32. Let o(a) be the second derivative of -147/4*a**2 - g*a**4 + 0 + 7/4*a**3 + 47*a. Suppose o(u) = 0. What is u?
14
Let p(x) = 1744*x + 228466. Let a be p(-131). Factor 2/9*v**a - 4/9*v + 0.
2*v*(v - 2)/9
Let w(a) be the third derivative of -8/3*a**3 - 65*a**2 + 0 + 0*a - 5/3*a**4 - 1/12*a**6 - 11/20*a**5 - 1/210*a**7. Factor w(b).
-(b + 1)**2*(b + 4)**2
Let l = 350056 + -1050164/3. Factor -2/3 + 1/6*g**3 + l*g - 5/6*g**2.
(g - 2)**2*(g - 1)/6
Let 0 + d**3 - 4/3*d**2 - 1/3*d**5 + 2/3*d**4 - 4/3*d = 0. What is d?
-1, 0, 2
Let c(x) be the second derivative of x**5/190 + 11*x**4/57 - 100*x**3/57 + 104*x**2/19 - 720*x - 1. Factor c(f).
2*(f - 2)**2*(f + 26)/19
Let d(o) be the second derivative of o**4/66 - 83*o**3/33 + 82*o**2/11 + 449*o - 2. What is p in d(p) = 0?
1, 82
Let u(m) = -m**4 - 18*m**3 - 108*m**2 + 442*m - 442. Let x(p) = p**4 + 2*p**3 - 2*p + 2. Let b(r) = -u(r) - 5*x(r). What is y in b(y) = 0?
-6, 2, 3
Let a(r) = -8*r + 32. Suppose 3*k = -2*m + 17, -5*m + 32 = 6*k - 2*k. Let o be a(m). Factor 0 - 1/7*s**2 + 0*s**3 + o*s + 1/7*s**4.
s**2*(s - 1)*(s + 1)/7
Suppose 378*h = 363*h - 4440. Let b = -294 - h. 