*m**5 + 11/36*m**4 + 0 - 20/27*m**3 + 8/9*m**2 - m. Find d such that i(d) = 0.
1, 4
Let c(r) = -2*r + 3. Let p be c(0). Factor -p*d**2 + 18*d**3 + 5*d - 21*d - 3*d**4 - 56*d - 48.
-3*(d - 4)**2*(d + 1)**2
Let r(n) be the third derivative of -n**5/90 + 203*n**4/18 - 41209*n**3/9 + 9*n**2 + 35*n. What is d in r(d) = 0?
203
Let o = -3 + 366. Factor 0 - y**2 - 2 + o*y - 366*y.
-(y + 1)*(y + 2)
Let r be 0/(2 - 9/(0 - -3)). Let o(h) be the first derivative of -1 + 0*h**2 - 1/12*h**3 + r*h. Factor o(u).
-u**2/4
Let g(b) = -366*b + 12081. Let f be g(33). Solve 0 + 1/2*q**4 + 0*q + 0*q**2 - 1/2*q**f = 0.
0, 1
Let p(d) be the second derivative of -1/6*d**4 + 0*d**2 + 0 - 23*d + 0*d**3 + 1/21*d**7 - 1/10*d**5 + 1/15*d**6. Suppose p(l) = 0. What is l?
-1, 0, 1
Suppose 5*x - 10 = 4*v, 3*x - 67*v - 6 = -66*v. Factor -3/5*l**4 + 3/5*l**3 + 0 - 12/5*l + 12/5*l**x.
-3*l*(l - 2)*(l - 1)*(l + 2)/5
Let l(v) be the third derivative of -v**8/168 - 8*v**7/63 - 19*v**6/45 + v**5/5 + 79*v**4/36 + 22*v**3/9 + 23*v**2 - 9*v. Solve l(s) = 0 for s.
-11, -2, -1, -1/3, 1
Let p(a) be the first derivative of a**3/6 - 7*a**2 - 29*a/2 - 526. Factor p(f).
(f - 29)*(f + 1)/2
Let y = 1977 + -1973. Factor 16/3*t**3 + 2/15*t**5 + 32/3*t + 32/3*t**2 + 4/3*t**y + 64/15.
2*(t + 2)**5/15
Factor 3/2*x**2 + 105/2*x - 54.
3*(x - 1)*(x + 36)/2
Let x(w) be the second derivative of -2*w**6/15 + 2*w**5 - 29*w**4/3 + 64*w**3/3 - 24*w**2 - 57*w + 2. What is h in x(h) = 0?
1, 2, 6
Let p(i) be the third derivative of 2 - 1/33*i**4 + 0*i + 5/33*i**3 + 2*i**2 - 1/330*i**5. Suppose p(a) = 0. What is a?
-5, 1
Let k(s) be the second derivative of -s**5/60 - 11*s**4/18 + 101*s**3/18 - 13*s**2 + 264*s - 1. Solve k(x) = 0.
-26, 1, 3
Let r = 0 - -11. Suppose -r*j - 18 = -12*j. Factor 4*w**3 - j*w**3 - 18*w - 2*w**4 + 3 - 3 - 30*w**2.
-2*w*(w + 1)*(w + 3)**2
Let c = -1043 + 1046. Suppose -81/5*m + 81/5 + 27/5*m**2 - 3/5*m**c = 0. Calculate m.
3
Let i(n) = -5 + n - 4 - 3 + 13. Let c(r) = 5*r**3 + 10*r**2 - 30*r - 35. Let m(t) = c(t) + 5*i(t). What is l in m(l) = 0?
-3, -1, 2
Suppose o - 13 = 5*t, -3*o - 2*t + 2 = -3. Factor -7*c**3 + o*c**3 + 6*c**2 + 56*c**4 - 58*c**4.
-2*c**2*(c - 1)*(c + 3)
Let n(g) be the second derivative of 3/4*g**2 + 3/40*g**5 + 12*g + 0 - 1/4*g**3 - 1/8*g**4. Find l such that n(l) = 0.
-1, 1
Let a(w) = 4*w + 127. Let n be a(-31). Suppose 4*s + b + n - 14 = 0, 2*b + 14 = s. Solve -4/7*l**2 + 0 + 0*l + 2/7*l**s + 2/7*l**3 = 0 for l.
-2, 0, 1
What is v in 2/3*v**5 - 1/3*v + 7/3*v**2 - 5/3*v**4 - 1/3*v**3 - 2/3 = 0?
-1, -1/2, 1, 2
Let t(d) = -42*d**2 + 3*d - 3. Let a(s) = -37*s**2 - 4*s + 2. Let x(c) = c**2 - c + 1. Let f(k) = a(k) - 6*x(k). Let g(o) = -3*f(o) + 4*t(o). Factor g(m).
-3*m*(13*m - 2)
Find z, given that 7*z + 1/9*z**3 - 5/3*z**2 - 49/9 = 0.
1, 7
Suppose 4*d - 13 - 23 = 4*s, -5*d = 4*s - 45. Solve -f**5 + 16*f**2 - 21*f - 3*f**4 + 2*f**2 - 8*f**2 + d + 6*f**3 = 0.
-3, 1
Let j(c) be the third derivative of -c**8/2856 - 4*c**7/1785 + 13*c**6/1020 + 2*c**5/255 - c**4/17 + 343*c**2. Suppose j(q) = 0. Calculate q.
-6, -1, 0, 1, 2
Suppose 5*i = -9*v + 5*v + 33, 5*v - 37 = -2*i. Suppose -14 = -0*z - v*z. Factor 2*l**2 + 2/3*l**3 + z*l + 2/3.
2*(l + 1)**3/3
Let o(g) = -2*g + 24. Let j be o(8). Factor 56*q**3 - 93*q**5 - j - 24*q**4 - 63*q**2 + 97*q**5 - q**2 + 36*q.
4*(q - 2)*(q - 1)**4
Factor 10 - 35/2*n**3 + 75/2*n**2 - 65/2*n + 5/2*n**4.
5*(n - 4)*(n - 1)**3/2
Factor -68/3*i - 2/3*i**2 - 22.
-2*(i + 1)*(i + 33)/3
Let n be (1/(-15))/((-2)/5). Let m be (-56)/(-20) + 12/60. Factor 0 + 0*o - 1/6*o**4 + n*o**2 + 0*o**m.
-o**2*(o - 1)*(o + 1)/6
Suppose 2*w = 4*w - 4. Suppose -5*s + 0*s = j - 28, -j - w = -s. Solve 5*y**2 + 5*y**2 + 4*y**j - 35*y + 20 + y**3 = 0.
-4, 1
Let p = 7 - 5. Suppose p*w = -28 + 36. Solve 0*v + 5/2*v**3 - 1/2*v**2 + 0 - 2*v**w = 0 for v.
0, 1/4, 1
Let f(k) be the first derivative of 4*k**3/3 + 68*k**2 - 288*k - 463. What is y in f(y) = 0?
-36, 2
Let c(m) = m**3 + 8*m**2 + 2*m + 1. Let f be c(-8). Let s = f - -17. Find h, given that 21*h**3 + 15*h**4 - h + 0*h - 11*h + 12 - 9*h**5 - 27*h**s + 0 = 0.
-1, 2/3, 1, 2
Let x = 81 + -86. Let j be (90/8)/(-3) - x. Factor -1/2 - 1/2*a**2 - j*a.
-(a + 2)*(2*a + 1)/4
Factor 105 - 5 + 187*m**2 - 191*m**2.
-4*(m - 5)*(m + 5)
Let u(w) = -14*w**2 - 93*w - 93. Let a(j) = -5*j**2 - 31*j - 30. Let x(l) = 21*a(l) - 6*u(l). Factor x(v).
-3*(v + 1)*(7*v + 24)
Let o(l) be the second derivative of 5*l**7/6 + 709*l**6/6 + 24457*l**5/4 + 507045*l**4/4 + 490050*l**3 + 359370*l**2 - 652*l. Suppose o(p) = 0. What is p?
-33, -2, -2/7
Let x be (-4)/14 + (-124)/(-336). Let f(q) be the third derivative of x*q**3 + 0 + 1/24*q**4 + 1/120*q**5 + 0*q - 2*q**2. Let f(c) = 0. What is c?
-1
Let f = 10966/7 + -1566. Find m such that 6/7 - 2/7*m**2 + f*m = 0.
-1, 3
Let s(x) be the second derivative of x**8/2520 - x**6/180 + x**5/90 - 5*x**3 + 23*x. Let k(h) be the second derivative of s(h). Find g, given that k(g) = 0.
-2, 0, 1
Let q(b) be the second derivative of 6*b**2 - 5*b + 4/3*b**3 - 1/3*b**4 + 0. Suppose q(d) = 0. Calculate d.
-1, 3
Let z(t) be the third derivative of -1/100*t**5 + 1/350*t**7 - 10*t**2 + 0*t**4 - 1/560*t**8 + 0*t**3 + 0 + 0*t + 1/200*t**6. Determine w, given that z(w) = 0.
-1, 0, 1
Determine o, given that -o**4 + 143909 - 14*o**4 + 20*o**2 - 20*o**3 - 143909 = 0.
-2, 0, 2/3
Let j(o) = -o**2 + 49*o + 7413. Let z be j(114). What is q in 0 - 1/2*q**4 + 11/4*q**2 + 3/4*q**z - 3/2*q = 0?
-2, 0, 1/2, 3
Let b(q) be the second derivative of -7*q**4/12 - q**3/3 - 9*q**2/2 + 23*q. Let n(l) = -l**2 - l - 1. Let i(a) = -5*b(a) + 30*n(a). Factor i(c).
5*(c - 3)*(c - 1)
Let c(d) = 59*d**3 - 2*d - 3. Let t be c(-1). Let z be ((-1134)/t)/9 - 1/2. Determine n, given that 4/5*n**4 + 2/5*n**5 + 2/5*n - z*n**2 - 4/5*n**3 + 4/5 = 0.
-2, -1, 1
Let n(j) be the third derivative of -j**8/10080 - j**7/1260 + j**4/12 - 11*j**2. Let k(g) be the second derivative of n(g). Determine t so that k(t) = 0.
-3, 0
Let j(c) = -c**3 - 3*c**2 + 3*c + 3. Suppose -s = -0*s + 2*g + 6, -2*g = -5*s - 18. Let t be j(s). Determine v so that -5*v - 23*v**2 + t*v**2 + 9*v = 0.
0, 1/4
Let g(r) = 220*r**2 + 65*r. Let q(w) = 10*w**2 + 3*w. Suppose s + 4*d - 25 = 0, -3*s + 105 = -s - 3*d. Let l(u) = s*q(u) - 2*g(u). Let l(o) = 0. What is o?
-1/2, 0
Suppose 0 = l - 2*b - 2 + 1, 0 = l - 5*b + 2. Let c = -55 - -55. Factor 3*u + 0*u + c*u - l*u**2 + 0*u + 6.
-3*(u - 2)*(u + 1)
Suppose 63*k = 5*k. Let -1/2*d**5 + d**2 + 1/2*d + k - d**4 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let n be (4/6)/((-12)/16)*51. Let a = n + 46. Factor -a*i - 1 + 1/3*i**2.
(i - 3)*(i + 1)/3
Suppose -110 = -8*b + 3*b. Suppose 3*j - b + 4 = 0. Let -16*v**4 + 9*v**3 - 3*v**5 + 16*v**4 + j*v**2 = 0. What is v?
-1, 0, 2
Let n be (-8)/(-3)*(-27)/(-6). Factor -7*w**4 + 6*w**2 + 21*w**4 + 36*w**3 - 4*w - n*w**3.
2*w*(w + 1)**2*(7*w - 2)
Let k(f) be the third derivative of -f**8/1512 - f**7/189 - 2*f**6/135 - 2*f**5/135 - 124*f**2. Factor k(i).
-2*i**2*(i + 1)*(i + 2)**2/9
Factor 3/2*z**2 - z**4 + 0*z + 1/4*z**5 + 0 + 1/4*z**3.
z**2*(z - 3)*(z - 2)*(z + 1)/4
Let p be (-3 - (3 + -12))*11/33. Find j such that 16/7*j + 64/7 + 1/7*j**p = 0.
-8
Suppose -9*g + 4*g = -5. Let s(t) = -t**3 - t + 2. Let v be s(g). Determine j so that 0*j + v + 2/13*j**2 = 0.
0
Let p(k) = k**4 + 4*k**3 + 3*k**2 - k - 7. Let w(x) = x**3 - 1. Let n(o) = 3*p(o) - 21*w(o). Factor n(j).
3*j*(j - 1)**3
Let c be 8*(-2 + (-15)/(-6)). Let b(u) = 2*u - 5. Let m be b(c). Factor 1/3*x**m + 1/3 - 1/3*x**4 - 1/6*x**5 + 4/3*x**2 + 7/6*x.
-(x - 2)*(x + 1)**4/6
Let w = 429/278 + -6/139. Let i(c) be the first derivative of -w*c**4 + 3*c**2 + 3/5*c**5 + 0*c + 3 - c**3. Factor i(m).
3*m*(m - 2)*(m - 1)*(m + 1)
Let u(t) = -12*t**3 - 50*t**2 + 122*t - 53. Let i(x) = 11*x**3 + 50*x**2 - 121*x + 54. Let s(p) = -7*i(p) - 6*u(p). Suppose s(k) = 0. Calculate k.
-12, 1
Let p(y) be the first derivative of y**6/14 - 3*y**5/35 - 3*y**4/14 + 2*y**3/7 + 3*y**2/14 - 3*y/7 - 47. Factor p(d).
3*(d - 1)**3*(d + 1)**2/7
Let h(q) be the third derivative of q**5/120 - q**4/24 - 5*q**3/4 - 37*q**2 - 2*q. Find p, given that h(p) = 0.
-3, 5
Let p(i) be the third derivative of 11*i**5/60 - i**4/2 + 5*i**3/2 + 7*i**2. Let z(a) = -10*a**2 + 12*a - 14. Let m(n) = -6*p(n) - 7*z(n). Solve m(q)