d**3 - 2/11*d - 4/11 + 4/11*d**2 = 0.
-2, -1, 1
Let n(l) be the second derivative of -l**4/4 - 3*l**3 - 10*l + 4. Determine f, given that n(f) = 0.
-6, 0
Suppose -4*u + 27 = 7. Let q(g) be the first derivative of 1/5*g**u + 1/24*g**6 + 1/3*g**3 + 0*g + 3/8*g**4 + 1/8*g**2 - 1. Factor q(c).
c*(c + 1)**4/4
Let m(w) be the first derivative of 16/21*w**3 - 1/7*w**2 - 32 + 9/14*w**4 + 0*w. Determine i, given that m(i) = 0.
-1, 0, 1/9
Let d(s) be the second derivative of s**5/30 + 5*s**4/9 - s**3/9 - 10*s**2/3 + s - 24. Factor d(w).
2*(w - 1)*(w + 1)*(w + 10)/3
Let k be ((-6)/27)/((-15)/18). Let y = 313/2685 - -3/179. Factor 0 - 2/15*p**4 - k*p**3 + 0*p - y*p**2.
-2*p**2*(p + 1)**2/15
Let z(s) be the first derivative of -2*s**5/5 - 15*s**4 - 128*s**3 + 512*s**2 + 13. Factor z(w).
-2*w*(w - 2)*(w + 16)**2
Solve 47*x**2 - 60 + 49*x**2 + 8*x - 92*x**2 = 0 for x.
-5, 3
Let h(u) = -4*u**3 + 89*u**2 + 43*u - 5. Let l(f) = 2*f**3 - 46*f**2 - 22*f + 3. Let d(v) = -3*h(v) - 5*l(v). Factor d(j).
j*(j - 19)*(2*j + 1)
Let d be (-3)/5 - (412/(-20) + 4). Factor -43 + 23*m + d*m - 3*m**3 + 64 + 15*m**2.
-3*(m - 7)*(m + 1)**2
Factor 18*u**4 + 3*u**5 - 12 - 6*u**2 - 24*u**3 + 27*u - 13*u**5 + 7*u**5.
-3*(u - 4)*(u - 1)**3*(u + 1)
Let f(n) be the first derivative of -2*n**3/45 - 2*n**2/5 - 6*n/5 - 88. Let f(i) = 0. Calculate i.
-3
Let g be 2/((-42)/(-99)) - (-20)/70. Let l(j) be the third derivative of 0*j**3 + 0 + 0*j - 1/180*j**g - 3*j**2 + 1/72*j**4. Factor l(q).
-q*(q - 1)/3
Let j = 82 + -76. Let -25 - 29*w**3 - 30*w**3 + 40*w - w**4 + 51*w**3 - j*w**2 = 0. What is w?
-5, 1
Factor -60*v**3 - 2*v**4 + 16*v**4 - 33*v**2 + 60*v - 22*v**2 - 13*v**2 - 10*v**4 + 64.
4*(v - 16)*(v - 1)*(v + 1)**2
Let q be (-2)/8 + 442/104. Determine c, given that -4/5*c**2 - 2/5*c**5 + 2*c - 4/5 - 8/5*c**3 + 8/5*c**q = 0.
-1, 1, 2
Let y(f) be the third derivative of f**7/210 + f**6/120 - f**5/20 - 5*f**4/24 - f**3/3 - 3*f**2 - 4. Determine o, given that y(o) = 0.
-1, 2
Let s(t) be the first derivative of 25*t**4/4 - 10*t**3/3 - 25*t**2/2 + 10*t + 90. Factor s(b).
5*(b - 1)*(b + 1)*(5*b - 2)
Let m(a) be the first derivative of 5*a**6/24 + 29*a**5/6 + 65*a**4/2 - 60*a**3 - 2*a**2 - 9*a + 23. Let t(o) be the second derivative of m(o). Factor t(r).
5*(r + 6)**2*(5*r - 2)
Suppose -4*b = 2*c - 1120, 2*c - c - 551 = b. Factor 9*h**2 + 545*h**3 - 2*h**2 - 3*h - c*h**3 + 3*h**4 + 2*h**2.
3*h*(h - 1)**3
Let g(l) = -13*l**2 - 19*l + 1. Let y(m) = -2*m**2 - 6*m + 3*m**2 - 5*m**2. Suppose 2*x - 5 = o - 4, -x - 4 = -2*o. Let a(w) = x*g(w) - 7*y(w). Factor a(b).
2*(b + 1)**2
Let v(l) be the third derivative of -3*l**5/80 + 677*l**4/96 - 25*l**3/4 - 87*l**2 - 4. Let v(s) = 0. Calculate s.
2/9, 75
Let h(o) be the second derivative of -2*o**6/105 - o**5/7 + o**4/7 + 34*o**3/21 + 20*o**2/7 - 82*o. What is l in h(l) = 0?
-5, -1, 2
Let d(n) = 7*n**3 - 7*n - 8*n**3 - 3 + 4*n**2 - 4 - 10*n**2. Let y be d(-5). Factor 13*f**3 - 15*f**4 - 45*f**3 - 28*f**2 + f + y*f**4 - 9*f.
-4*f*(f + 1)**2*(3*f + 2)
Let k = 10395 - 10393. Suppose -405/4 + 45/2*d - 5/4*d**k = 0. Calculate d.
9
Factor -189/8 + 9/2*b**3 + 3/8*b**4 + 57/4*b**2 + 9/2*b.
3*(b - 1)*(b + 3)**2*(b + 7)/8
Let d(x) = -x**2 - x + 32. Let j be d(0). Suppose -51*o**2 + 15 + 20*o + 24*o**2 + j*o**2 = 0. What is o?
-3, -1
Suppose 5 + 31 = 3*u. Let p be u/40*(-5)/(-6). Factor -p*d**4 + 0 + 0*d**2 + 0*d + 1/4*d**3.
-d**3*(d - 1)/4
Let n(x) = 120*x**3 - 815*x**2 - 3110*x - 2070. Let r(o) = -7*o**3 + 48*o**2 + 183*o + 122. Let h(y) = -2*n(y) - 35*r(y). Find g, given that h(g) = 0.
-2, -1, 13
Let n = 73/948 - -1/158. Let i(t) be the third derivative of n*t**4 + 3/5*t**5 - 3/20*t**6 - 2/3*t**3 + 0*t + 5*t**2 + 0. Determine h, given that i(h) = 0.
-1/3, 1/3, 2
Let f(t) be the first derivative of 10/3*t**3 + 5/2*t**2 + 5/4*t**4 + 0*t + 4. Find g such that f(g) = 0.
-1, 0
Factor 544 - 544 - 6*k**4 + 4*k**3 + 6*k - 6*k + 2*k**5.
2*k**3*(k - 2)*(k - 1)
Let h(y) = -6*y**3 + 11*y - 19. Let w(f) = -6*f + 13 - 5*f + 4*f + 3*f**3 + f**3. Let n(i) = -5*h(i) - 7*w(i). Factor n(c).
2*(c - 1)**2*(c + 2)
Let m(h) = -78*h**2 - 125*h + h**3 + 3*h**3 - 17*h**2 + h**3. Let q(i) = i**3 - 24*i**2 - 31*i. Let s(n) = -6*m(n) + 25*q(n). Solve s(a) = 0 for a.
-5, -1, 0
Suppose 13*o = -24 + 89. Let l(d) be the first derivative of 9 + 0*d**4 + 0*d**2 + 0*d + 3/10*d**o + 0*d**3 - 1/2*d**6. What is p in l(p) = 0?
0, 1/2
Let v(m) be the third derivative of -1/30*m**5 - 10*m**2 + 1/75*m**6 + 1/30*m**4 + 0*m - 1/525*m**7 + 0*m**3 + 0. Factor v(q).
-2*q*(q - 2)*(q - 1)**2/5
Suppose -2*w = -t - 1, -2*w + 21 = 6*t - 3*t. Let c(q) be the first derivative of 1/6*q**2 + 2 - 2/3*q + 1/9*q**w. Find y such that c(y) = 0.
-2, 1
Let h be (0 - 7) + (-2 - (-6)/1). Let y be -3 + -1 + 3 - 2 - h. Solve -2/11*k**2 + 0*k + y + 6/11*k**3 = 0 for k.
0, 1/3
Let r(s) be the first derivative of 2*s**3/27 - 2*s/9 - 2. Find o such that r(o) = 0.
-1, 1
Let j(i) be the second derivative of -i**6/60 + 37*i**5/10 - 1825*i**4/8 - 37*i**3/3 + 1369*i**2 - 91*i - 2. Let j(d) = 0. What is d?
-1, 1, 74
Suppose 89*z**4 - 93*z**4 + 18*z**3 - 2*z**5 + 4*z**2 - 16*z + 0*z**5 = 0. Calculate z.
-4, -1, 0, 1, 2
Let d(g) be the first derivative of g**4/30 - 178*g**3/45 + 2024*g**2/15 - 3872*g/15 - 204. Factor d(p).
2*(p - 44)**2*(p - 1)/15
Let h(p) be the first derivative of -3*p**4/8 + 9*p**3/2 + 819*p**2/4 + 3381*p/2 - 892. Suppose h(y) = 0. What is y?
-7, 23
Let k(t) be the third derivative of -t**8/2352 - t**7/735 + t**6/280 + 48*t**2 + 1. Find h, given that k(h) = 0.
-3, 0, 1
Factor 12288*w**2 + 0 + 0*w + 256*w**3 + 4/3*w**4.
4*w**2*(w + 96)**2/3
Suppose 4*c - 10 = 2*c. Let z be c*1*2/2. Suppose -6*w**3 + 10*w + 1 - 11*w**3 + 28*w**2 + w**3 - z = 0. Calculate w.
-1/2, 1/4, 2
Let a(v) = -67*v - 399. Let l be a(-6). Solve -4/9*j - 2/9*j**2 + 0 + 2/9*j**l = 0 for j.
-1, 0, 2
Let r = 28980/159511 - -2/14501. Factor 4/11*u + 0 + r*u**2.
2*u*(u + 2)/11
Let y(q) be the first derivative of -q**6/3 - 184*q**5/5 - 2881*q**4/2 - 21660*q**3 - 56700*q**2 - 54000*q + 13. Factor y(l).
-2*(l + 1)**2*(l + 30)**3
Factor 47*p - 11*p + 2 + 3*p**2 + 12 + 32 - 13.
3*(p + 1)*(p + 11)
Let r(y) = -8*y**2 + 377*y + 385. Let p(l) = 105*l**2 - 4900*l - 5005. Let o(a) = 3*p(a) + 40*r(a). What is s in o(s) = 0?
-1, 77
Find l such that 23*l**2 - 12*l**3 + 81*l - l + 27*l**2 + 17*l**3 = 0.
-8, -2, 0
Let r(x) be the first derivative of 9*x**6/2 + 87*x**5/5 - 171*x**4/4 - 149*x**3 + 198*x**2 + 108*x + 161. What is b in r(b) = 0?
-3, -2/9, 1, 2
Let q be (1 + 4)/((-450)/(-36)). Find u, given that 6/5*u**2 + q + 6/5*u + 2/5*u**3 = 0.
-1
Let m(v) be the third derivative of -37*v**2 + 0 + 3/7*v**4 + 0*v + 1/1176*v**8 + 37/420*v**6 - 2/147*v**7 + 0*v**3 - 2/7*v**5. Find r, given that m(r) = 0.
0, 2, 3
Let j(s) = s**2 + 12*s + 54. Let r(y) = -2*y + 3. Let b(h) = -3*j(h) + 6*r(h). Find i, given that b(i) = 0.
-12, -4
Suppose 0 = 3*o + o + 68. Let z = o - -23. Find j such that 7*j**2 + z*j**3 - 3*j**2 + 3*j**4 - j**2 = 0.
-1, 0
Let l be 13 + (-13)/2 - 6. Determine i so that l*i**3 + 1/2*i + i**2 + 0 = 0.
-1, 0
Find m such that -6*m**3 + 2*m**4 - 157*m**2 + 11*m**3 + 307*m**2 - 152*m**2 - 5*m = 0.
-5/2, -1, 0, 1
Let d(f) be the first derivative of -5*f**2 + 5/3*f**3 - 15*f + 7. Solve d(o) = 0 for o.
-1, 3
Suppose 3595*o + 18 = 3604*o. Let -8/5*b**o + 0*b + 2/5 = 0. What is b?
-1/2, 1/2
Let j(w) = -w**3 + 6*w**2 + 38*w + 22. Let h be j(10). Let v be ((-2)/(-5))/(12/10). Find l, given that -l + 2/3 + v*l**h = 0.
1, 2
Let v(j) be the third derivative of -j**5/40 + 11*j**4/8 - 4*j**2 + 1. Solve v(w) = 0.
0, 22
Let p = 50 - 45. Solve 8*x + 10*x**3 - 1 - 5*x**4 - 10*x**2 - x + x**p - 9*x + 7*x = 0.
1
Let s(j) = -8*j + 32. Let f be s(4). Suppose -2/3*a**4 + f + 2/3*a**2 + 2/3*a - 2/3*a**3 = 0. What is a?
-1, 0, 1
Let p(g) be the first derivative of g**6/12 - 9*g**4/4 + 81*g**2/4 + 79. Factor p(x).
x*(x - 3)**2*(x + 3)**2/2
Suppose 3*l - 11*l**2 + 4*l**2 - 3*l**4 + 3*l**4 + 3*l + l**4 = 0. Calculate l.
-3, 0, 1, 2
Let o be (-6)/(324/(-150)) + (-6)/(-27). Let a(w) be the first derivative of 4*w**3 - o*w + 9/2*w**2 - 4. Factor a(n).
3*(n + 1)*(4*n - 1)
Let w(j) = -2*j + 47. Let o be w(21). Determine t, given that 13*t**4 + 9*t**4 - 21*t**4 - 4*t + 8*t**2 - o*t**3 = 0.
0, 1, 2
Let t