q**3 - 1/10*q**2. Let r(l) = 0. Calculate l.
-1, 1/4
Let q(f) be the second derivative of 0 + 0*f**2 - 2/21*f**7 - 5/24*f**4 + 7*f - 1/24*f**3 - 33/80*f**5 - 1/3*f**6. Determine n, given that q(n) = 0.
-1, -1/4, 0
Solve 18/7*m**4 - 6/7 + 18/7*m**2 + 9/7*m - 39/7*m**3 = 0.
-1/2, 2/3, 1
Let v(n) = n**2 + n + 1. Let l(d) = -d**3 + 10*d**2 - 4*d - 17. Let z(i) = l(i) + 5*v(i). Let m be z(15). Let -w**3 + m + 3*w**3 - 7 - 6*w = 0. What is w?
-1, 2
Let v be (10/(-16))/(-1)*1362/1135. What is t in 3/2*t + 9/4 - v*t**2 = 0?
-1, 3
Let l(b) be the first derivative of b**4/36 + 20*b**3/27 + 2*b**2 - 237. Factor l(c).
c*(c + 2)*(c + 18)/9
Let u = 723 - 723. Factor -2/19*y**2 - 6/19*y**4 + 6/19*y**3 + 0*y + u + 2/19*y**5.
2*y**2*(y - 1)**3/19
Factor -3*s**3 + 21936*s**2 - 82*s - 21921*s**2 + 232*s.
-3*s*(s - 10)*(s + 5)
Let t(m) be the first derivative of -7*m**5/120 + 5*m**4/48 + m**3/6 + 2*m**2 - 4. Let b(x) be the second derivative of t(x). What is i in b(i) = 0?
-2/7, 1
Let l be (-10)/(-12)*3 + 4 + (-36)/9. Solve 7*s + l - 3/2*s**2 = 0.
-1/3, 5
Let x(y) be the first derivative of -2*y**6/3 - 12*y**5/5 - 3*y**4 - 4*y**3/3 + 185. What is i in x(i) = 0?
-1, 0
Let a = -1/12507 + 13520074/87549. Let u = a - 154. Factor -9/7*i - 6/7 - u*i**2.
-3*(i + 1)*(i + 2)/7
Factor -15 + 50/3*v - 5/3*v**2.
-5*(v - 9)*(v - 1)/3
Let t = 4/2631 + 159/87700. Let g(n) be the third derivative of -1/50*n**5 + 0*n + 0*n**4 + 4/15*n**3 + t*n**6 + 2*n**2 + 0. Solve g(c) = 0 for c.
-1, 2
Factor -86/11*h - 2/11*h**3 + 32/11*h**2 - 120/11.
-2*(h - 12)*(h - 5)*(h + 1)/11
Suppose 64/17*u**2 - 4/17 + 26/17*u + 2*u**3 = 0. What is u?
-1, 2/17
Let y = -73 - -75. Factor 8*d + 23*d**2 - 5*d**y + 50*d**3 + 22*d**2.
2*d*(5*d + 2)**2
Suppose 0 = -28*i - 82 + 194. Let k(u) be the second derivative of u + 3/140*u**5 - 1/14*u**3 + 0 + 1/70*u**6 - 1/28*u**i + 0*u**2. Factor k(g).
3*g*(g - 1)*(g + 1)**2/7
Let s(g) be the second derivative of 5*g**5/2 + 220*g**4/3 - 179*g**3/3 + 18*g**2 + 419*g. Solve s(r) = 0 for r.
-18, 1/5
Let q(t) be the third derivative of 1/17*t**3 + 10*t**2 + 0 + 0*t + 7/204*t**4 - 7/510*t**5 - 1/340*t**6. Solve q(g) = 0.
-3, -1/3, 1
Suppose 5*x = 4*k + 6, 0*x = -x + 5*k - 3. Let n = 6 + -3. Let x*z**4 - z**4 + 0*z**3 + 4 - 3*z**2 + z**n + z**3 - 4*z = 0. What is z?
-2, 1
Let c = 69 - 83. Let d be 10/c + (-1)/(0 + -1). Factor d*o**4 - 2/7*o**3 + 0 + 0*o**2 + 0*o.
2*o**3*(o - 1)/7
Suppose 32 = -w + 36. Factor -1/2*b**2 + 0*b + 0 - 2*b**3 - b**5 - 5/2*b**w.
-b**2*(b + 1)**2*(2*b + 1)/2
Let b(v) = -5*v**3 - 11*v**2 - v + 5. Let f = -60 - -66. Let a(x) = 5 + 12*x**2 - 5 + 2*x - 4 + 6*x**3. Let t(w) = f*a(w) + 4*b(w). Factor t(m).
4*(m + 1)**2*(4*m - 1)
Suppose -6*i = -i + 2*k + 53, k = -3*i - 31. Let l be -5*(1 - i/(-5)). Solve -2*n + l*n**3 + 69*n**2 - 2*n - 67*n**2 - 2 = 0.
-1, -1/2, 1
Let b(d) be the third derivative of -25*d**2 + 0 + 0*d - 10/3*d**4 + 1/12*d**5 + 160/3*d**3. Solve b(o) = 0.
8
Let u(k) be the second derivative of -k**6/2520 + k**5/168 - 29*k**3/6 - 9*k. Let f(o) be the second derivative of u(o). Suppose f(h) = 0. What is h?
0, 5
Suppose -1154 = -23*c + 134. Let u = 169/3 - c. Factor 0*h**3 + 0 + 0*h + 1/3*h**5 + u*h**4 + 0*h**2.
h**4*(h + 1)/3
Let q be ((-9)/(-12))/((-7)/(-28)). Factor -q*t + 4*t - 13 + 11 + 2*t**2 - t**3.
-(t - 2)*(t - 1)*(t + 1)
Let f(n) = -16*n**2 - 64*n + 4. Let k be f(-4). Factor -12/7*d + 3/7 + 18/7*d**2 - 12/7*d**3 + 3/7*d**k.
3*(d - 1)**4/7
Let k(z) be the first derivative of z**7/7140 + z**6/3060 - z**5/510 + 2*z**3/3 - 6*z**2 + 53. Let a(s) be the third derivative of k(s). What is v in a(v) = 0?
-2, 0, 1
Let m(g) be the third derivative of -g**9/60480 - g**8/5040 - g**7/1260 - g**5/5 + 15*g**2. Let y(q) be the third derivative of m(q). Factor y(h).
-h*(h + 2)**2
Let j(u) be the third derivative of u**8/56 - 4*u**7/21 + 29*u**6/60 + 2*u**5/5 + 10*u**2 - 22. Suppose j(t) = 0. Calculate t.
-1/3, 0, 3, 4
Let w be ((-30)/180)/((0 - -4)/(-48)). Factor 0 - 2/21*j**w + 2/7*j.
-2*j*(j - 3)/21
Let z(s) = -9*s**3 - 2*s - 1. Let u be z(-1). Suppose -b - r = 3*b - 8, -2*r = 5*b - u. Let -7*m**2 - 4 - 6*m + 4*m**b + m**2 = 0. Calculate m.
-2, -1
Let s = 10 - 9. Let u be (-1)/(s/(-2)*1). Factor 3*v - 45*v**u - 21*v**4 + 3*v - 57*v**3 - 9*v + 6.
-3*(v + 1)**3*(7*v - 2)
Let o(i) = i**2 + 8*i + 5. Let k be o(-8). Suppose -k*q = x - 23, -3*x + 30 = -q + 9. Suppose 0 - 7 + x*m - 4*m**3 - 4*m**2 + 7 = 0. What is m?
-2, 0, 1
Let d(x) be the third derivative of -x**8/1176 - 11*x**7/735 + 53*x**6/420 + 129*x**5/70 - 180*x**4/7 + 900*x**3/7 + 212*x**2. Factor d(f).
-2*(f - 3)**3*(f + 10)**2/7
Suppose 0 = -5*k - 20, 5*s - 6*k + k = 30. Let n(j) be the third derivative of 1/135*j**6 - 4*j**s - 1/27*j**4 - 1/27*j**3 + 1/270*j**5 + 0*j + 0. Factor n(d).
2*(d - 1)*(d + 1)*(4*d + 1)/9
Let 2597*d**3 + 3*d**2 - 25*d + 2 - 2593*d**3 + 4 = 0. What is d?
-3, 1/4, 2
Let q(n) be the third derivative of -n**8/20160 + n**7/1260 - n**6/180 + n**5/6 - 11*n**2. Let c(d) be the third derivative of q(d). Factor c(b).
-(b - 2)**2
Let g(a) be the second derivative of 160/3*a**3 + 0 - 20*a - 19/3*a**4 + 7/30*a**5 - 128/3*a**2. Let g(l) = 0. What is l?
2/7, 8
Let d(t) be the third derivative of t**6/10 + 13*t**5/15 + 13*t**4/6 + 2*t**3 - 2*t**2 - 94. Find c, given that d(c) = 0.
-3, -1, -1/3
Let x(t) be the second derivative of -2883*t**4/8 - 31*t**3 - t**2 - 179*t. Determine u so that x(u) = 0.
-2/93
Let j(h) be the first derivative of -2*h**7/21 + 4*h**5/5 + 14*h - 31. Let f(g) be the first derivative of j(g). Let f(k) = 0. Calculate k.
-2, 0, 2
What is v in -40/13*v + 0 + 20/13*v**4 - 2/13*v**5 + 88/13*v**2 - 66/13*v**3 = 0?
0, 1, 2, 5
Factor 0*f - 2/3*f**2 + 0 + f**3 - 1/3*f**4.
-f**2*(f - 2)*(f - 1)/3
Let u(o) be the first derivative of -8 - 1/15*o**2 - 2/45*o**3 + 4/5*o. Factor u(x).
-2*(x - 2)*(x + 3)/15
Let j be (-10)/40 + 9/4. Suppose -10 = -7*d + 2*d. Suppose 67*c**d - 67*c**j + 1 + c - 2*c**3 + c - c**4 = 0. What is c?
-1, 1
Let r(z) be the first derivative of -5*z - 1/12*z**4 + 5 - 1/2*z**2 + 1/3*z**3. Let w(p) be the first derivative of r(p). Find o such that w(o) = 0.
1
Let u(z) = z**3 - 12*z**2 + 10*z + 15. Let s be u(11). Let x be ((-48)/(-128))/(s - 1). Factor -1/8*h - x + 1/8*h**2 + 1/8*h**3.
(h - 1)*(h + 1)**2/8
Let n = -220 + 220. Let g(z) be the third derivative of 0 + 0*z**4 + 1/40*z**6 - 8*z**2 + 0*z + 1/10*z**5 - 1/70*z**7 + n*z**3. What is d in g(d) = 0?
-1, 0, 2
Factor 482*x + 102*x - 2187 + 145*x - 81*x**2 + 3*x**3.
3*(x - 9)**3
Let v(y) be the second derivative of y**8/3360 + y**7/420 + y**6/180 + y**4/3 + 15*y. Let d(j) be the third derivative of v(j). Factor d(k).
2*k*(k + 1)*(k + 2)
Let j be (1 - 3/7)/(1375/1925). Factor -2/5 - 4/5*s**3 + 0*s**2 + j*s + 2/5*s**4.
2*(s - 1)**3*(s + 1)/5
Suppose 6*a - 30 + 12 = 0. Determine g, given that 6*g + a*g**2 - g**2 - 6*g - 2 = 0.
-1, 1
Let q(g) = 5*g**3 - 10*g + 2. Let i be (-3 - -7)/((-12)/(-15)). Let x(d) = -11*d**3 + 19*d - 5. Let h(b) = i*q(b) + 2*x(b). Let h(m) = 0. What is m?
-2, 0, 2
Suppose -t - 5*g = 3*t - 11, -2*g = -3*t + 14. Let -6*x + 4*x**2 + 6*x**3 + 17*x**2 - 30*x**t + 0*x**2 + 9*x**4 = 0. What is x?
-1, 0, 2/7, 1
Let m = -6794 + 27177/4. Solve 0 + 0*h - m*h**3 - 1/2*h**2 = 0.
-2, 0
Determine c, given that 6/7 + 3/7*c**2 - 9/7*c = 0.
1, 2
Let u(b) be the third derivative of b**6/180 - b**5/20 - b**4/3 + 7*b**3/6 - 34*b**2. Let m(v) be the first derivative of u(v). What is n in m(n) = 0?
-1, 4
Suppose 332/3*r**2 - 12173/6*r - 3/2*r**3 - 1369/3 = 0. Calculate r.
-2/9, 37
Suppose -16*q = -11*q + 5. Let u be (-238)/(-85) + q/(-5). Let -b + 0*b**u + 7*b - 3*b**3 + b**3 - 4 = 0. Calculate b.
-2, 1
Let u(m) be the first derivative of 15/4*m**4 - 8 + 0*m + 2/5*m**5 - 2*m**2 + 4/3*m**3 - 5/6*m**6. Suppose u(i) = 0. Calculate i.
-1, 0, 2/5, 2
Let y(p) be the third derivative of -p**10/1512 - p**9/540 - p**8/840 - 5*p**4/24 + 19*p**2. Let s(q) be the second derivative of y(q). Factor s(z).
-4*z**3*(z + 1)*(5*z + 2)
Let h(v) be the second derivative of 14*v + 4*v**2 + 7/5*v**5 + 16/3*v**4 + 22/3*v**3 + 0. Determine w so that h(w) = 0.
-1, -2/7
Let l(t) be the third derivative of -2*t**7/105 + 26*t**6/15 - 242*t**5/5 + 650*t**4/3 - 1250*t**3/3 - t**2 + 206*t. Let l(m) = 0. What is m?
1, 25
Let h(b) be 