hird derivative of 0*g**3 + 0 - 1/60*g**4 + 1/150*g**5 + 0*g + 5*g**2. Suppose t(j) = 0. What is j?
0, 1
Let p = -5 - -1. Let s be (-31)/(-4) - 1/p. Suppose -8*m**4 + 38*m + 6*m**2 + s + 26*m**2 - 2*m**5 - 2*m**5 - 10*m + 8*m**3 = 0. Calculate m.
-1, 2
Let d = -6929/10 + 693. Let t(h) be the third derivative of 0 + 1/105*h**7 - 1/60*h**6 - d*h**5 + 1/12*h**4 + 2/3*h**3 - h**2 + 0*h. Factor t(f).
2*(f - 2)*(f - 1)*(f + 1)**2
Let o(p) = -6*p + 31. Let q(f) = 9*f - 47. Let y(v) = 7*o(v) + 5*q(v). Let n be y(12). Factor n*b**2 + 34 + 54*b + 20 - 4*b**3 + 6*b**3.
2*(b + 3)**3
Let u(a) = -13*a**3 - 12*a**2 + 35*a - 6. Let m(q) = 12*q**3 + 13*q**2 - 34*q + 6. Let d(t) = -4*m(t) - 3*u(t). Solve d(v) = 0.
-3, 2/9, 1
Determine l so that -21*l**5 + 237*l**4 - 339 + 552*l**2 + 149 - 822*l**3 - 194 + 1248*l = 0.
-1, 2/7, 4
Let q(c) = 2*c + 15. Let m be q(-6). Let k(w) = w**2 - 2*w - 1. Let p be k(m). Let -36*j - 33 - 4*j**3 + 33 - 24*j**p = 0. Calculate j.
-3, 0
Let m(f) be the first derivative of -f**4/4 - f**3/2 + 3*f**2 - 19*f + 9. Let b(q) be the first derivative of m(q). Let b(w) = 0. What is w?
-2, 1
Let l(s) be the second derivative of s**6/30 + s**5/5 + s**4/4 - 22*s. Solve l(k) = 0 for k.
-3, -1, 0
Let i(p) be the second derivative of 0 + 0*p**2 + 9*p + 1/12*p**4 - 4/3*p**3. Factor i(r).
r*(r - 8)
Let b(w) be the third derivative of w**5/120 - 5*w**4/48 - 7*w**3/6 - 31*w**2 + 3*w. Determine s so that b(s) = 0.
-2, 7
Let u(i) be the first derivative of -2*i**5/35 + 8*i**3/7 - 16*i**2/7 + 73. Let u(a) = 0. Calculate a.
-4, 0, 2
Let j(r) be the third derivative of r**8/448 + 81*r**7/280 + 303*r**6/32 - 5041*r**5/80 + 651*r**4/4 - 441*r**3/2 - 86*r**2 - r. Suppose j(h) = 0. What is h?
-42, 1
Let r(t) = t**3 - t**2 + t + 8. Let n be r(0). Suppose 3*p**3 + p**3 - n*p**2 + 4*p**2 = 0. Calculate p.
0, 1
Let r be (2/5)/(2/(-20)). Let z = 2 - r. Let -z*p - 2*p - 2*p**2 - 4*p**2 - p - 3 = 0. What is p?
-1, -1/2
Let b(c) be the second derivative of 0 - 1/540*c**6 + 0*c**4 + 1/2*c**3 + 0*c**2 + 1/180*c**5 + 7*c. Let i(t) be the second derivative of b(t). Factor i(s).
-2*s*(s - 1)/3
Let i(o) = -o**3 + 14*o**2 - 12*o - 13. Let s be 1 - -2 - -5*2. Let l be i(s). Factor 0*u + 1/5*u**2 + l.
u**2/5
Let v(m) be the first derivative of 5/4*m**4 - 3/5*m**5 + 4/3*m**3 - 10 - 2*m**2 + 0*m. Suppose v(k) = 0. What is k?
-1, 0, 2/3, 2
Let q = 145 + -141. Let t(m) be the second derivative of -2/5*m**6 - 2*m + 1/12*m**q + 0 + 1/20*m**5 + 0*m**3 + 0*m**2. Factor t(y).
-y**2*(3*y - 1)*(4*y + 1)
Let p(y) be the first derivative of -5*y**7/42 + y**6/2 - 3*y**5/4 + 5*y**4/12 + 6*y + 15. Let x(q) be the first derivative of p(q). Factor x(g).
-5*g**2*(g - 1)**3
Suppose 0 = 4*f + 2*f - 30. Factor -3 - 117*t**3 + 114*t**3 - 5 + 3*t**2 + 3*t + f.
-3*(t - 1)**2*(t + 1)
Factor 48 - 3/7*y**2 - 3/7*y**3 + 120/7*y.
-3*(y - 7)*(y + 4)**2/7
Suppose -2307*j + 2300*j = -14. Factor 225/7 + 1/7*v**j - 30/7*v.
(v - 15)**2/7
Find m such that 202/7*m - 36/7 + 6*m**4 - 362/7*m**3 - 166/7*m**2 = 0.
-1, 2/7, 1/3, 9
Let h(j) be the first derivative of -j**4 + 0*j**3 + 0*j + 1/3*j**6 + 0*j**2 - 2/5*j**5 + 18. Determine a so that h(a) = 0.
-1, 0, 2
Let g(i) be the second derivative of i**4/48 - 17*i**3/24 + 2*i**2 + 7*i - 1. Let g(k) = 0. Calculate k.
1, 16
Let d(l) be the first derivative of l**6/2 + 3*l**5/5 - 9*l**4/4 - 5*l**3 - 3*l**2 - 482. Factor d(v).
3*v*(v - 2)*(v + 1)**3
Let m = 0 - -5. Factor 16*f**4 + 24*f**5 + 3*f**m - 14*f**3 + 5*f**5 + 2*f**2.
2*f**2*(f + 1)*(4*f - 1)**2
Let m(l) be the second derivative of -l**6/10 + 51*l**5/10 - 253*l**4/4 - 306*l**3 - 486*l**2 + 121*l. Determine a, given that m(a) = 0.
-1, 18
Let k be 2/(-2 - 0)*-3. Let n be 30/14 + 4/((-252)/9). Let 3*o - n*o**3 + 4*o**2 - k*o = 0. What is o?
0, 2
Let a(u) = 7*u**2 + 37*u + 103. Suppose 0 = -4*l + l - 4*q, 0 = q - 3. Let p(h) = 8*h**2 + 36*h + 104. Let f(c) = l*a(c) + 3*p(c). Factor f(w).
-4*(w + 5)**2
Let c = 195/46 - 6881/690. Let l = c - -32/5. Factor 0*k**3 - l*k**4 - 2/3 + 0*k + 4/3*k**2.
-2*(k - 1)**2*(k + 1)**2/3
Let d be 7*3/9*(-80)/(-840). Let j(i) be the first derivative of d*i**3 - 2/45*i**5 - 8/9*i - 1/9*i**4 + 4/9*i**2 - 9. Suppose j(m) = 0. What is m?
-2, 1
Let n = 304 + -300. Let g(f) be the first derivative of 0*f**n + f**3 - 3/5*f**5 + 3 + 0*f + 0*f**2. Determine r so that g(r) = 0.
-1, 0, 1
Let j(n) be the first derivative of 4/3*n**3 + 10 + 0*n - 4*n**2. Factor j(r).
4*r*(r - 2)
Suppose 11*x = 38 + 699. Suppose 75*z = x*z + 24. Factor 0 + 0*v**2 - 2/17*v + 2/17*v**z.
2*v*(v - 1)*(v + 1)/17
Let r(c) be the first derivative of -c**4/12 - 2*c**3/3 - 2*c**2 + 40*c + 22. Let s(a) be the first derivative of r(a). Factor s(v).
-(v + 2)**2
Find l such that 0 - 2/7*l**4 - 38/7*l**3 - 48/7*l**2 + 1440/7*l = 0.
-12, 0, 5
Let l(j) be the first derivative of j**5/5 - j**3/3 + j + 4. Let o(v) = 9*v**4 + 3*v**3 - 6*v**2 + 6. Let r(g) = 6*l(g) - o(g). Factor r(x).
-3*x**3*(x + 1)
What is v in v**5 - 2583*v**3 - 8*v**4 + 2591*v**3 + v**5 = 0?
0, 2
Determine w so that -12/5*w**5 + 34/5*w**3 - 106/5*w**2 + 26/5*w + 154/5*w**4 + 0 = 0.
-1, 0, 1/3, 1/2, 13
Let q(n) = n**3 + 12*n**2 - 12*n + 13. Let t be q(-13). Suppose -12 = 6*u - 4*u + 3*v, -2*v - 8 = t. Factor -2/7*y**3 + 0*y + 2/7*y**4 + u*y**2 + 0.
2*y**3*(y - 1)/7
Suppose 0*m + 33 = 3*m. Let v be 1*3 - (m + -12). Determine p, given that -36 + 66*p - 15*p - v*p**2 - 27*p = 0.
3
Let k be (-3)/(-6) + (-279)/90 + 3. Let t(u) be the first derivative of k*u**3 + 1/5*u**2 + 2 - 1/10*u**4 - 6/5*u. Factor t(w).
-2*(w - 3)*(w - 1)*(w + 1)/5
Let r(a) be the first derivative of 4*a**3/27 + 10*a**2/9 + 16*a/9 + 236. Determine k so that r(k) = 0.
-4, -1
Let c be ((-16)/28)/((-6)/21). Let z(k) = 5*k**3 + 5*k**2 + 1. Let n(b) = -b**4 + b**3 + b**2 + 1. Let f(t) = c*n(t) - 2*z(t). Solve f(j) = 0.
-2, 0
Let h be (450/(-35))/(-9)*76/370. Let k = h - 2/259. Factor 0*v - k*v**3 + 6/7*v**2 + 0.
-2*v**2*(v - 3)/7
Factor -153/5*r**2 + 12 - 216/5*r**3 + 84/5*r.
-3*(3*r + 2)**2*(8*r - 5)/5
Let z(x) be the third derivative of x**7/1050 - x**6/300 + x**4/60 - x**3/30 - 242*x**2. Suppose z(s) = 0. Calculate s.
-1, 1
Let c(x) be the second derivative of x**4/66 + x**3 + 62*x**2/11 - x + 177. Factor c(d).
2*(d + 2)*(d + 31)/11
Let f = 15 + -13. Suppose -2*v + 6*v + 6 = -3*q, 0 = v - f*q - 4. Factor 2 - 2*k + v - 4*k**3 - 2*k**2 + 7*k**3 - k**3.
2*(k - 1)**2*(k + 1)
Let k(p) = -10*p - 15. Let a be k(-9). Let u = a - 135/2. Suppose 11/2*f**3 - 9/2*f**5 + u*f**4 + f + 0 - 11/2*f**2 = 0. What is f?
-1, 0, 1/3, 2
Suppose 35*z - 190 = 18 - 103. Factor 0 + 6/11*f**2 + 2/11*f**4 + 2/11*f + 6/11*f**z.
2*f*(f + 1)**3/11
Let j be 1*(-17)/(-3) - 45/9. Let y(v) be the first derivative of 3 - 1/3*v**2 - j*v**3 + 4/3*v. Determine i so that y(i) = 0.
-1, 2/3
Let q(u) be the second derivative of -5*u**4/12 + 25*u**3 - 1125*u**2/2 + 3*u + 10. Factor q(j).
-5*(j - 15)**2
Let k = 435 + -283. Let n be k/56 + 1 - (-4)/14. Factor 0*u**n - 2/5*u**5 + 0*u**2 + 0*u + 0*u**3 + 0.
-2*u**5/5
Let f(c) be the first derivative of -c**4/8 - 10*c**3 + 63*c**2/4 + 61*c + 353. What is h in f(h) = 0?
-61, -1, 2
Let v(k) = -k**3 - k**2 - k - 3. Let o(x) = -2*x**3 + 20*x**2 + 77*x + 67. Let w(c) = 2*o(c) - 6*v(c). Suppose w(u) = 0. Calculate u.
-19, -2
Let q(h) be the second derivative of 9/8*h**2 - 8*h - 1/4*h**3 + 1/48*h**4 + 0. Factor q(b).
(b - 3)**2/4
Let x(q) be the first derivative of 17 + 5/8*q**2 - 1/12*q**3 - 3/4*q - 1/16*q**4. Factor x(m).
-(m - 1)**2*(m + 3)/4
Let b(v) be the third derivative of v**5/20 + 15*v**4/14 + 16*v**3/7 + 271*v**2. Suppose b(c) = 0. Calculate c.
-8, -4/7
Let m be (-35)/80*(-72)/168. Let v(w) be the second derivative of 1/40*w**6 + 0 + 0*w**2 - 9/80*w**5 + 12*w - 1/8*w**3 + m*w**4. Factor v(i).
3*i*(i - 1)**3/4
Let v(l) = -13*l**2 - l + 80. Let p(i) = 16*i**2 - 80. Let r(m) = 3*p(m) + 4*v(m). Factor r(x).
-4*(x - 4)*(x + 5)
Let t be 62/140 - (-4 + 29/7). Let p(v) be the first derivative of 0*v + 3/20*v**4 + 2/5*v**3 + 2 + t*v**2. Factor p(b).
3*b*(b + 1)**2/5
Suppose 0 = d - 5*j + 39, -3*d = j + 66 + 19. Let v be (-1)/3*(2 + d). Let -3*f**4 + 17 - v + 3*f**4 - 4*f**4 + 12*f**3 - 12*f - 4*f**2 = 0. Calculate f.
-1, 1, 2
Factor 6*d**2 - 2/3*d**3 - 40/3*d + 8.
-2*(d - 6)*(d - 2)*(d - 1)/3
Let t(j) 