t 0 + 2/5*m**2 + z*m = 0. Calculate m.
0
Let -12288/5 + 2304/5*b + 3/5*b**3 - 144/5*b**2 = 0. What is b?
16
Let g(n) be the third derivative of n**6/35 - 137*n**5/70 + 83*n**4/14 - 33*n**3/7 - 193*n**2. Find q such that g(q) = 0.
1/4, 1, 33
What is c in 31 - 60*c + 15 - 4*c**2 - 21 + 39 = 0?
-16, 1
Let b = -3296 + 23075/7. Solve -15/7*j - 12/7 + b*j**4 + 9/7*j**2 + 15/7*j**3 = 0.
-4, -1, 1
Let y be (-1 + 2)/(1/49). Suppose 4*m - 57 = -y. Factor -2/3*s - 1/3*s**m - 1/3.
-(s + 1)**2/3
Let a(k) be the first derivative of 2/3*k**3 + 0*k + 0*k**2 + 2/5*k**5 - k**4 + 9. Factor a(q).
2*q**2*(q - 1)**2
Let u be (2985/5373)/((-5)/(-12)). Factor u - 4/3*g**3 + 4*g**2 - 4*g.
-4*(g - 1)**3/3
Let h be (-160)/(-276) + (-49)/7 + 1793/253. Factor -2662/3 - 22*t**2 - 242*t - h*t**3.
-2*(t + 11)**3/3
Let f(r) be the second derivative of -r**5/110 + r**4/44 - r**2/2 + 3*r. Let k(n) be the first derivative of f(n). Let k(u) = 0. Calculate u.
0, 1
Suppose -448/3*p + 4/3*p**2 + 12544/3 = 0. Calculate p.
56
Suppose 32*l - 273 = -7*l. Let j(m) be the third derivative of 0*m**6 + 0*m + 3/350*m**l + 0*m**4 - 6*m**2 + 0 - 1/300*m**5 + 0*m**3. Factor j(i).
i**2*(3*i - 1)*(3*i + 1)/5
Factor 0*b - 4/17*b**2 - 8/17*b**4 - 2/17*b**5 - 10/17*b**3 + 0.
-2*b**2*(b + 1)**2*(b + 2)/17
Let i(f) be the third derivative of 32*f**2 + 0 + 1/4*f**3 - 5/96*f**4 + 0*f + 1/240*f**5. Determine y, given that i(y) = 0.
2, 3
Let l be -6*(-7)/(-42) - 1/(3/(-5)). Let k = 2/31 - -118/93. Solve k*o - 2/3*o**2 - l = 0.
1
Let h be 0/((-2)/(-1)) - -3. Suppose 8*j = -0*j + 16. Factor h + 5 + b**j + b**2 + 8*b.
2*(b + 2)**2
Let l(a) = a**3 - 2*a**2 + 2. Let t be l(-2). Let k be (24/t)/((-2)/7). Factor -9*s**4 + 14*s**2 + 3*s**5 + 3*s**3 + k*s**3 - 17*s**2.
3*s**2*(s - 1)**3
Let a(r) be the first derivative of 3*r**5/35 - 27*r**4/7 + 390*r**3/7 - 1014*r**2/7 - 19773*r/7 - 21. Factor a(f).
3*(f - 13)**3*(f + 3)/7
What is x in 0 - 1/3*x + 1/3*x**3 + 0*x**2 = 0?
-1, 0, 1
Find d such that -1849/4 - 1935/4*d - 1/4*d**3 - 87/4*d**2 = 0.
-43, -1
Let h be 0*(-14 + 205/15). Solve 3/2*s**4 - 9/2*s**2 - 3*s + 0*s**3 + h = 0 for s.
-1, 0, 2
Let s(q) be the second derivative of 0 - 68/3*q**3 - 12*q - 4913/30*q**5 + 289/3*q**4 + 8/3*q**2. Factor s(a).
-2*(17*a - 2)**3/3
Let g be (-3)/3 + 1 - 1848. Let x be 2/11 + (-3822)/g. Factor x + 3/4*v**2 + 3*v.
3*(v + 1)*(v + 3)/4
Let n = -37276/9 + 4142. Find i, given that 2/9 - n*i**2 + 0*i = 0.
-1, 1
Let k(u) be the third derivative of -u**7/504 - 5*u**6/72 - 25*u**5/24 - u**4/8 - u**3/6 - 2*u**2 - 18. Let s(t) be the second derivative of k(t). Factor s(o).
-5*(o + 5)**2
Let c(d) be the first derivative of d**3/9 - 2*d**2/3 - 4*d + 18. Factor c(h).
(h - 6)*(h + 2)/3
Let d(s) be the second derivative of 5*s**5/4 + 35*s**4/4 + 95*s**3/6 + 15*s**2/2 + 182*s. Factor d(x).
5*(x + 1)*(x + 3)*(5*x + 1)
Let q = -29 + 88. Find z, given that z + 2*z**3 + 11*z - q*z**2 + 73*z**2 = 0.
-6, -1, 0
Determine s so that 8*s**2 + 237*s**3 + 10*s**2 - 4*s**5 - 223*s**3 - 18*s**4 - 10*s = 0.
-5, -1, 0, 1/2, 1
Let j(x) be the first derivative of -13*x**3 + 18*x**2 - 3/5*x**5 - 12*x - 9 + 9/2*x**4. Solve j(c) = 0.
1, 2
Let o(r) be the second derivative of 2*r**7/147 - 2*r**6/105 - 4*r**5/35 + 4*r**4/21 - 79*r - 1. Determine w, given that o(w) = 0.
-2, 0, 1, 2
What is g in 3 + 2*g**2 + 10*g + 2*g**3 + 0*g**3 - 4*g**3 + 3 = 0?
-1, 3
Factor -3/5*q**2 - 27/5 - 18/5*q.
-3*(q + 3)**2/5
Let p(a) be the second derivative of -a**4/3 - 56*a**3/3 - 392*a**2 + 3*a - 136. Suppose p(y) = 0. Calculate y.
-14
Let n(k) be the first derivative of 5*k**4/12 + 10*k**3/3 + 15*k**2/2 - 8*k + 3. Let w(g) be the first derivative of n(g). Factor w(y).
5*(y + 1)*(y + 3)
Let f(c) be the second derivative of c**5/80 - c**3/2 - 2*c**2 - 80*c. Factor f(s).
(s - 4)*(s + 2)**2/4
Let b(g) be the third derivative of 3*g**7/2 - 43*g**6/8 + 35*g**5/6 + 5*g**4/6 - 20*g**3/3 + 3*g**2 + 8. Let b(l) = 0. What is l?
-2/7, 2/3, 1
Let z(s) be the first derivative of s**3/3 + 53*s**2 + 2809*s - 162. Suppose z(w) = 0. Calculate w.
-53
Let u(o) be the third derivative of o**8/896 - 19*o**6/320 + 17*o**5/80 + 3*o**4/16 - 5*o**3/2 + 27*o**2. Factor u(d).
3*(d - 2)**3*(d + 1)*(d + 5)/8
Factor 0*f - 2/3*f**3 + 0 + 4/15*f**2 - 2/15*f**5 + 8/15*f**4.
-2*f**2*(f - 2)*(f - 1)**2/15
Suppose 1/4*r**4 + 21/2*r**2 - 11/4*r**3 + 8 - 16*r = 0. Calculate r.
1, 2, 4
Let m(i) be the first derivative of 0*i**2 + 2/27*i**3 + 0*i - 1/18*i**4 + 6. Find x, given that m(x) = 0.
0, 1
Let v(g) = g**2 - 15*g + 16. Let r be v(14). Suppose -5*s + y - 9 = -r*y, -4*s = -2*y + 6. Factor -2/9*q**2 + s - 4/9*q.
-2*q*(q + 2)/9
Let t(o) be the first derivative of 3*o**5/80 - o**4/24 - o**3/8 + o**2/4 + 17*o + 12. Let p(y) be the first derivative of t(y). Solve p(s) = 0.
-1, 2/3, 1
Factor 64/3 + 20/3*b**2 - 2/3*b**3 - 64/3*b.
-2*(b - 4)**2*(b - 2)/3
Let p(s) be the second derivative of -7*s**7/2 + 119*s**6/10 + 12*s**5 + 3*s**4 + 66*s - 2. Factor p(q).
-3*q**2*(q - 3)*(7*q + 2)**2
Find w, given that 8 + 21505*w + 14*w**2 - 21665*w + 58 = 0.
3/7, 11
Let u(g) be the third derivative of -g**5/30 - 10*g**4/3 - 23*g**2 + 2. Factor u(n).
-2*n*(n + 40)
Suppose 46*g - 441 + 303 = 0. Suppose 0*p**2 + 2/11*p**g - 14/11*p - 12/11 = 0. What is p?
-2, -1, 3
Suppose 0 - g + 6/5*g**2 - 1/5*g**3 = 0. Calculate g.
0, 1, 5
Suppose -626*a + 629*a = 15. Let u(j) be the third derivative of -4/15*j**3 - 2*j**2 - 1/15*j**4 + 0*j - 1/150*j**a + 0. Find t, given that u(t) = 0.
-2
Let q be 2/3*126/4. Suppose -7*a = q - 84. Determine f so that -6*f - a*f**2 - 1 - 11*f**3 - 10*f**3 + 17*f**3 = 0.
-1, -1/4
Factor 8 - 2*f**2 + 2/7*f**3 - 8/7*f.
2*(f - 7)*(f - 2)*(f + 2)/7
Let v(r) = -5*r**5 + 4*r**4 - r**3 + 2*r**2 + 2. Let i(f) = -6*f**5 + 3*f**4 + 3*f**2 + 3. Let g(d) = -2*i(d) + 3*v(d). Factor g(s).
-3*s**3*(s - 1)**2
Let j be (-2)/(-10) + 144/80. Factor -62*y**2 - 44*y + 27*y**j + 31*y**2.
-4*y*(y + 11)
Let p(j) = -9*j**2 - 86*j - 176. Let x(q) = -8*q**2 - 87*q - 172. Let c(i) = -3*p(i) + 4*x(i). Suppose c(k) = 0. What is k?
-16, -2
Let n be -7 + 7 - (-4 - -2). Let p be n*(-2)/6*-3. Factor -5*a**p - 2*a**2 - a + 6*a**2.
-a*(a + 1)
Let j(r) = 3*r**2 - r + 2. Suppose 85*w = 82*w. Let u be j(w). Factor 2/7 + 8/7*i**3 + 16/7*i**u + 10/7*i.
2*(i + 1)*(2*i + 1)**2/7
Let b be 7/(-16)*(-62)/651. Let d(p) be the second derivative of 3/4*p**2 - b*p**4 - 1/6*p**3 + 0 + 6*p. Factor d(j).
-(j - 1)*(j + 3)/2
Let a(v) = -2*v**4 + 2*v**3. Let z(n) = 16*n**4 + 17*n**4 - 9*n**4 + n**4 - 25*n**3. Let u(s) = -35*a(s) - 3*z(s). Find h such that u(h) = 0.
0, 1
Let b(q) be the third derivative of q**6/240 - q**5/15 - 11*q**4/12 - 4*q**3 + 152*q**2. Determine m, given that b(m) = 0.
-2, 12
Let i(l) be the second derivative of l**7/12600 + l**6/3600 + 11*l**4/6 - 21*l. Let k(m) be the third derivative of i(m). Suppose k(x) = 0. What is x?
-1, 0
Let h be (915/(-9))/5*3. Let l = -58 - h. Solve -1/7*t**4 + 0*t + 0 + 1/7*t**l + 1/7*t**2 - 1/7*t**5 = 0.
-1, 0, 1
Let v(g) = 6*g**3 - g**2 - g - 1. Let h(b) = 27*b**3 + 83*b**2 + 668*b + 584. Let q(c) = -h(c) + 4*v(c). Find a, given that q(a) = 0.
-14, -1
Let i(s) be the second derivative of -2/3*s**6 - 18*s + 0 + 0*s**3 - 1/4*s**5 + 0*s**2 + 5/6*s**4 + 5/14*s**7. Factor i(r).
5*r**2*(r - 1)**2*(3*r + 2)
Let p(i) be the third derivative of 0 + 1/784*i**8 + 9/28*i**6 - 17/490*i**7 + 0*i**3 + 0*i - 27/35*i**5 - 27/7*i**4 + 20*i**2. Factor p(a).
3*a*(a - 6)**3*(a + 1)/7
Let p(m) be the second derivative of -2*m**7/7 - 14*m**6/15 + 7*m**5/5 + 9*m**4 + 40*m**3/3 + 8*m**2 - 4*m - 14. Solve p(a) = 0 for a.
-2, -1, -1/3, 2
Let y = -33271/9 + 3697. Let 0*f**2 + 0 + 0*f**4 - 2/9*f + 4/9*f**3 - y*f**5 = 0. Calculate f.
-1, 0, 1
Let s(k) = -56*k + 2. Let m be s(0). Suppose 3*f**m + 0 - 12*f**3 - 27/4*f**4 + 0*f = 0. What is f?
-2, 0, 2/9
Factor 16*d**2 + 0 + 21/2*d**3 + 8*d + 1/4*d**5 + 11/4*d**4.
d*(d + 1)*(d + 2)*(d + 4)**2/4
Let p = -42655 - -42657. Find r, given that 0*r + 0 + 1/2*r**3 + 11/2*r**p = 0.
-11, 0
Suppose 3*s - 3 - 3 = 0. Suppose f - 12 = -4*t, -s*f + 0*t + 4 = -2*t. Let -4*b**5 + 0*b**5 + 5*b**2 - 7*b**2 + 6*b**f = 0. Calculate b.
-1/2, 0, 1
Let a(j) = -24*j - 1536. Let g be a(-64). Factor 2/3*d**4 + 0*d**2 + 0*d + g*d**3 + 0.
2*d**4/3
Let b(k) be the first derivative of -k**