17*x**4/72 + x**3/3 - x**2 + 21*x. Let r(b) be the first derivative of c(b). Solve r(f) = 0.
-1/3, 6
Let 289/6 + 1/6*v**2 - 17/3*v = 0. What is v?
17
Factor -6*s**4 - 56*s + 58*s - 162 - 191*s + 5*s**4 - 15*s**3 - 81*s**2.
-(s + 3)**3*(s + 6)
Let b(t) = -t**2 - t - 1. Let p(d) = 245*d**4 + 630*d**3 + 548*d**2 + 183*d + 23. Let s = 67 + -70. Let i(c) = s*b(c) - p(c). Factor i(h).
-5*(h + 1)**2*(7*h + 2)**2
Let n be ((-9)/6 - 3)*-2. Let j = -4 + n. Factor w**3 - 5*w**3 + j*w**3 + w - 2*w.
w*(w - 1)*(w + 1)
Let l(j) be the first derivative of j**6/135 + j**5/45 + j**4/54 - 11*j - 13. Let d(r) be the first derivative of l(r). Factor d(g).
2*g**2*(g + 1)**2/9
Let w(f) be the second derivative of -f**6/1020 + f**4/68 + 2*f**3/51 + f**2 - 2*f. Let u(b) be the first derivative of w(b). Find m, given that u(m) = 0.
-1, 2
Let d = 46 - 39. Find w, given that -2*w + 1 - d*w + 4*w + w**5 + 2*w**3 + 2*w - 3*w**4 + 2*w**2 = 0.
-1, 1
Let y(x) be the third derivative of x**7/1050 - 3*x**6/200 + 29*x**5/300 - 13*x**4/40 + 3*x**3/5 - 90*x**2. Suppose y(i) = 0. Calculate i.
1, 2, 3
Let l(s) = 2*s**2 - 7*s + 7. Let k be l(9). Suppose 1 + g - g - 2*g**2 - k*g**4 + 107*g**4 = 0. Calculate g.
-1, 1
Let j(w) be the third derivative of -1/84*w**5 - 2/7*w**3 + w**2 - 4/21*w**4 + 0*w + 0. Solve j(i) = 0.
-6, -2/5
Let m(v) = -1 + v**3 + 4*v**2 - 2 - 3*v**3 + 6*v + v**3. Let f be m(5). Factor 15*j - 26*j - 9*j**f - 27 + 38*j + j**3.
(j - 3)**3
Let m(g) be the third derivative of -g**7/105 - 11*g**6/30 + 49*g**5/30 + 11*g**4/6 - 16*g**3 - 346*g**2. Determine p so that m(p) = 0.
-24, -1, 1, 2
Suppose -20 = -16*j + 11*j. Suppose -16 = -4*m + j. Factor -6 + 3*z + 5 - z**2 - m*z.
-(z + 1)**2
Let c(m) be the first derivative of -m**4/6 - 38*m**3/9 - 6*m**2 + 9. Factor c(p).
-2*p*(p + 1)*(p + 18)/3
Let d be 1520/(-110) - 4/22. Let s = d + 16. Factor 10*k**s + k**2 - 8*k**3 - 4*k - k**2 + 0*k**3 + 2*k**4.
2*k*(k - 2)*(k - 1)**2
Suppose -4*s + 7*s = 186. Suppose -57*g + s*g = 0. Find b such that 1/2*b**2 + 0*b + g + 1/2*b**3 = 0.
-1, 0
Let f(h) = -h**3 - h**2 - 1. Suppose 5*a + 12 = -4*c + 3*a, -2 = a. Let u be f(c). Find m such that -5*m**u + 0*m**3 - 2*m**2 + 2 + 2*m + 3*m**3 = 0.
-1, 1
Let s(z) be the second derivative of 4*z**6/135 + 109*z**5/90 + 37*z**4/2 + 117*z**3 + 81*z**2 + 29*z. Solve s(a) = 0 for a.
-9, -1/4
Let o(g) be the first derivative of -g**4/2 - 52*g**3/3 - 49*g**2 - 48*g + 170. Factor o(a).
-2*(a + 1)**2*(a + 24)
Factor -141*b - 65 - 52*b + 32*b - 15*b**2 - 39*b.
-5*(b + 13)*(3*b + 1)
Suppose -1/8*u**2 + u + 5/2 = 0. What is u?
-2, 10
Let y(f) be the second derivative of f**5/10 + 9*f**4/2 + 24*f**3 + 277*f. Determine a so that y(a) = 0.
-24, -3, 0
Let p(n) = -3*n**2 + 7. Let s be p(-2). Let z(t) = -t**2 - 9*t - 20. Let w be z(s). Factor -4/3*y**3 - 4/3*y**4 + w + 4/3*y + 4/3*y**2.
-4*y*(y - 1)*(y + 1)**2/3
Suppose 0*g + 2*g = v - 7, -4*g = v + 5. Factor 0*t**3 - 6*t**2 + 6 - 3*t + 6*t - 3*t**v + 0.
-3*(t - 1)*(t + 1)*(t + 2)
Suppose 2*y + k + 11 = 0, -k - 4 = 2*y - y. Let x = 11 + y. Suppose -n**5 - 3*n**4 + 24*n**2 + 9*n**4 - x*n + 3*n**5 + 2*n**3 - 30*n**2 = 0. Calculate n.
-2, -1, 0, 1
Let v(c) be the first derivative of -5/6*c**6 + 0*c - 30 + 135*c**2 + 7*c**5 - 45/4*c**4 - 45*c**3. What is d in v(d) = 0?
-2, 0, 3
Suppose -6*k + 48 + 72 = 0. Let g = -15 + k. Factor -i**2 + 3*i + g*i**2 - 4*i - 3*i + 8*i**3.
4*i*(i + 1)*(2*i - 1)
Let w(j) be the second derivative of -j**6/150 - j**5/100 + j**4/10 + 2*j**3/15 - 4*j**2/5 + 420*j. Solve w(t) = 0 for t.
-2, 1, 2
Let y = 94 + -90. Determine u, given that 20*u - 4*u**y - 60*u + 15 - u**4 + 30*u**2 = 0.
-3, 1
Factor -7819 - 5*q**2 - 177*q - 59*q + 1694 - 114*q.
-5*(q + 35)**2
Let o(s) be the second derivative of -s**4/78 + s**3/13 + 4*s**2/13 - s - 74. What is l in o(l) = 0?
-1, 4
Solve 19*h + 5/7*h**2 - 54/7 = 0 for h.
-27, 2/5
Suppose -n - 2*w = 0, 4*w + 8 + 20 = 5*n. Suppose -3*f + 11 = 2. Let 2*k - k**3 - n + 0*k**f + 2*k**3 + 4*k**2 - 3*k**3 = 0. What is k?
-1, 1, 2
Let p be 16/(-12)*(-6)/4. Let -9 - 1 - 120*w**p - 86*w**3 + 75*w + 6*w**3 = 0. Calculate w.
-2, 1/4
Let d be (3/126)/((-2880)/(-336)). Let g(w) be the third derivative of d*w**5 + 0 + 0*w**3 - 1/72*w**4 + 7*w**2 + 0*w. Factor g(c).
c*(c - 2)/6
Let m(b) be the third derivative of -b**8/5040 + b**6/180 - 9*b**5/20 + 30*b**2. Let d(s) be the third derivative of m(s). Suppose d(g) = 0. What is g?
-1, 1
Let z(b) be the third derivative of b**8/168 - b**7/35 + b**6/30 + b**5/15 - b**4/4 + b**3/3 - 135*b**2. Factor z(d).
2*(d - 1)**4*(d + 1)
Find x such that -5/6 - 5/12*x**2 - 9/4*x = 0.
-5, -2/5
Let h(m) = 35*m**3 + 415*m**2 + 20380*m. Let v(s) = -19*s**3 - 208*s**2 - 10189*s. Let c(l) = -6*h(l) - 11*v(l). What is w in c(w) = 0?
-101, 0
Let b = -30 - -30. Let z be -1 - (b - (-9)/(-3)). Suppose 8/3*q - 2/3*q**z - 8/3 = 0. Calculate q.
2
Let w(k) be the third derivative of -27*k**7/14 - 93*k**6/8 + 53*k**5/3 + 55*k**4/2 + 40*k**3/3 - k**2 + 20. Let w(g) = 0. Calculate g.
-4, -2/9, 1
Let s(v) be the second derivative of 27*v**6/10 - 243*v**5/20 - 99*v**4/4 - 35*v**3/2 - 6*v**2 + v - 94. Find z, given that s(z) = 0.
-1/3, 4
Let u(a) = a**3 - 9*a**2 - 5*a + 25. Let g(l) = -3*l**3 + 30*l**2 + 14*l - 74. Let b(v) = 4*g(v) + 11*u(v). Let b(h) = 0. Calculate h.
-1, 1, 21
Find u, given that -1314036*u**5 - 1388405*u**4 - 9509*u**3 - 638839*u**4 - 32 - 3376*u - 715092*u**4 + 162022*u**3 - 120920*u**2 - 1698389*u**3 = 0.
-1, -2/69
Let j(a) be the second derivative of 0*a**2 + 0 + 1/12*a**3 + 1/3*a**4 + 26*a. Determine h, given that j(h) = 0.
-1/8, 0
Let m be (3 - (-60)/(-8))*32/(-36). Let w(s) be the second derivative of -1/9*s**3 + 2*s + 1/45*s**6 + 0*s**2 - 1/10*s**5 + 0 + 1/6*s**m. What is b in w(b) = 0?
0, 1
Let n be (-2)/(-12) - (-130)/(-15). Let h = 9 + n. Determine r, given that 0*r**3 - 1/2*r**2 + h*r**4 + 0 - 1/4*r + 1/4*r**5 = 0.
-1, 0, 1
Let j(v) be the second derivative of 0*v**2 + 15/2*v**3 - 8/3*v**6 - 2 - 11*v - 2*v**5 + 25/4*v**4. Factor j(k).
-5*k*(k - 1)*(4*k + 3)**2
Factor -14/17*d + 6/17 + 10/17*d**2 - 2/17*d**3.
-2*(d - 3)*(d - 1)**2/17
Suppose 276*c**3 - 212*c**4 + 256*c**4 - 68*c**2 - 236*c + 24 - 44*c**5 + 4*c**5 = 0. What is c?
-2, -1, 1/10, 1, 3
Let x = 56/23 + -89/46. Find b, given that -x*b - 1/2 - 1/2*b**5 - 1/2*b**4 + b**3 + b**2 = 0.
-1, 1
Factor -6*h**4 - 4*h**3 + 4*h**5 - 48*h + 16 + 432*h**2 - 6*h**4 - 388*h**2.
4*(h - 2)*(h - 1)**3*(h + 2)
Let u(b) = -7*b - 46. Let h(t) = 3*t + 23. Let l(f) = -9*h(f) - 4*u(f). Let d be l(25). Factor q + 0 + 1/2*q**3 - 3/2*q**d.
q*(q - 2)*(q - 1)/2
Factor -243*k**3 + 28*k**2 + 16*k + 484*k**3 - 245*k**3 - 112.
-4*(k - 7)*(k - 2)*(k + 2)
Suppose -79 - 41 - 186*g - 222*g**3 - 177*g - 12*g**5 + 591*g**2 + 597*g**3 - 471*g**4 = 0. What is g?
-40, -1, -1/4, 1
Factor -5/2*f**4 + 25*f**3 - 625/2 - 125*f**2 + 625/2*f + 1/10*f**5.
(f - 5)**5/10
Factor 3/2*i**3 + 36*i - 27/2*i**2 - 30.
3*(i - 5)*(i - 2)**2/2
Let l(i) = -i**4 + 10*i**3 + 19*i**2 - 5. Let g(k) = 3*k**4 - 24*k**3 - 48*k**2 + 12. Let z(q) = -5*g(q) - 12*l(q). Determine m so that z(m) = 0.
-2, 0, 2
Let u(i) be the third derivative of -i**7/2100 + 9*i**5/200 + 9*i**4/40 - 2*i**2 - 4. Factor u(b).
-b*(b - 6)*(b + 3)**2/10
Let o be (-3)/((-2 - 1)/15). Solve 10*x - 10*x**2 - o*x**3 - 5*x + 8*x**5 + 12*x**5 + 20*x**4 = 0 for x.
-1, 0, 1/2
Let s(x) be the first derivative of -5*x**4/4 + 15*x**3 - 75*x**2/2 + 35*x + 228. Find l such that s(l) = 0.
1, 7
Let j(f) be the first derivative of -3*f**4/14 - 53*f**3/21 - 68*f**2/7 - 80*f/7 - 75. Factor j(c).
-(c + 4)**2*(6*c + 5)/7
Let y(i) be the third derivative of -i**7/5880 - i**6/2520 + i**5/840 + i**4/168 + i**3/6 - 12*i**2. Let a(l) be the first derivative of y(l). Factor a(n).
-(n - 1)*(n + 1)**2/7
Suppose -7*k - 704 = -9*k. Solve -352*w - 2*w**2 + k*w = 0 for w.
0
Suppose 4*v - 2*v = 0. Suppose v = -0*o - 4*o + 16. Solve -19*y**2 - 15*y**3 + 3*y**2 - 4*y**o + 2 + y - 4*y = 0.
-2, -1, 1/4
Let p(v) = v**3 - 3*v**2 - 2*v + 4. Let a be p(3). Let g be (1/(-1))/(1/a). Find w, given that 2*w + 0*w**2 - 25*w**4 + 4*w**g - 25*w**3 + 2*w = 0.
-1, -2/5, 0, 2/5
Let d(q) be the first derivative of q**5/2 - 5*q**3/2 + 5*q**2/2 + 145. Suppose d(t) = 0. What is t?
-2, 0, 1
Factor -29*q**2 - 9*q - 3*q**3 + 60*q**2