1*n**2 - 3 - 1 + 16*n**2 = 0. Calculate n.
1, 2
Let y(r) be the second derivative of 1/30*r**4 + 17*r + 12/5*r**2 - 13/15*r**3 - 2. Factor y(m).
2*(m - 12)*(m - 1)/5
Let u be (-1122)/(-297)*(-9)/(-2). Suppose 0 = 13*r + u*r. Factor 0*z + 0 + 5/2*z**5 - 5*z**2 - 15/2*z**3 + r*z**4.
5*z**2*(z - 2)*(z + 1)**2/2
Let n(m) = 6*m**2 - 3*m - 1. Let u(a) = a**3 + 34*a**2 - 20*a - 5. Let q(g) = -5*n(g) + u(g). Factor q(d).
d*(d - 1)*(d + 5)
Determine v so that 11*v**2 - 56 - 1/3*v**3 - 134/3*v = 0.
-1, 6, 28
Factor 4/5*j**2 + 72/5*j - 32.
4*(j - 2)*(j + 20)/5
Suppose 1076*s - 1074*s = 4*m + 50, 0 = -s - m - 8. Suppose -2/5*l**s + 0*l + 0 + 6/5*l**2 = 0. What is l?
0, 3
Let n = -3285 - -3288. Let g(d) be the second derivative of 0 + 2/63*d**7 + 18*d - 1/15*d**6 + 0*d**4 + 1/30*d**5 + 0*d**n + 0*d**2. Factor g(l).
2*l**3*(l - 1)*(2*l - 1)/3
Let r = -17 - -21. Suppose -5*b + 14 = g, -5*b + r*g - 8 = -b. Determine i so that 27*i**b - 21*i**2 + 4*i**3 - 7*i**3 = 0.
0, 2
Let k(h) be the first derivative of h**6/24 + 7*h**5/10 + 53*h**4/16 + 19*h**3/3 + 9*h**2/2 + 736. Suppose k(t) = 0. What is t?
-9, -2, -1, 0
Suppose 5*t + 5 = 0, b - 22 = -2*t - t. Suppose 0 = -b*c + 14*c + 22. Factor 656*y - 108 - 20 - 880*y**c + 84*y**3 + 16*y**3.
4*(y - 8)*(5*y - 2)**2
Let m(w) be the third derivative of w**7/630 - w**6/9 + 119*w**5/60 + 49*w**4/4 + 500*w**2. Solve m(s) = 0.
-2, 0, 21
Let q(l) be the third derivative of -2*l**7/105 - 11*l**6/10 + 23*l**5/20 + 67*l**4/24 - 1774*l**2. Determine i, given that q(i) = 0.
-67/2, -1/2, 0, 1
Suppose -1819 = -23*v - 1727. Let d(t) be the first derivative of 6/5*t**2 - 4/15*t**3 - 3/5*t**v + 1 - 4/25*t**5 + 8/5*t. Find n such that d(n) = 0.
-2, -1, 1
Let q(h) = -3*h**2 + 6*h + 1. Let c(m) = -17*m**2 + 34*m + 4. Let k(s) = c(s) - 4*q(s). Find y such that k(y) = 0.
0, 2
Let i(u) be the first derivative of -8*u**5/15 - 17*u**4/10 - 22*u**3/15 + 7*u**2/15 + 6*u/5 + 8598. Factor i(l).
-2*(l + 1)**3*(20*l - 9)/15
Let r be 21*(624/392)/39. Find h, given that -r*h - 3/7*h**4 - 15/7*h**2 - 12/7*h**3 + 0 = 0.
-2, -1, 0
Let q(b) be the first derivative of 5*b**3/6 - 415*b**2/4 - 2070*b - 5367. Factor q(i).
5*(i - 92)*(i + 9)/2
Let z(c) = 2*c**2 - 2*c - 4*c**2 - 2*c**2 - 2*c. Let o(i) = -i**2 - 2*i - 1. Let f(p) = 6*o(p) - z(p). Find u such that f(u) = 0.
-3, -1
Suppose -152*a + 156*a - 3*v - 38 = 0, -3*a - 15 = 5*v. Suppose -96/5*b**4 - 3*b**a - 21*b - 216/5*b**3 - 222/5*b**2 - 18/5 = 0. Calculate b.
-3, -1, -2/5
Suppose o + 26 = 77. Suppose -o + 77 = 13*v. Find r such that 40*r + 1458/5*r**4 - 16/5 - 756/5*r**v + 486/5*r**3 = 0.
-1, 2/9
Let r(p) = 358*p - 171822. Let i be r(480). Find g such that -1/2*g**4 - 11/2 + 7*g**3 + 17*g - i*g**2 = 0.
1, 11
Let g = -237 + 254. Let k(v) = -15*v + 257. Let p be k(g). Factor 3/7 - 6/7*x + 3/7*x**p.
3*(x - 1)**2/7
Let o(h) be the second derivative of 0 - 5*h**3 + 1/12*h**4 + 68*h + 225/2*h**2. Factor o(b).
(b - 15)**2
Factor 50*k**2 + 38 - 53*k - 4*k**3 - 35 - 32 - 65*k - 43.
-2*(k - 9)*(k - 4)*(2*k + 1)
Suppose -14*q + 20 - 7 = -15. Let j(n) be the first derivative of 0*n**2 - 6 + 12/5*n**5 - 1/2*n**6 - 15/4*n**4 + q*n**3 + 0*n. Suppose j(o) = 0. What is o?
0, 1, 2
Suppose 5*b - 3*h + 509 = 0, 39 = 4*b + 5*h + 424. Let o = -98 - b. Solve 2*w**4 - 4*w**3 + w + o*w**5 + 2 + 6*w**2 + 0*w**3 - 10*w**2 + w = 0.
-1, 1
Suppose 78 = 12*a + 18. Find x, given that -32*x**5 + 8 + 8*x**3 + 74*x**5 - 8*x**4 + 28*x - 23*x**a - 23*x**5 + 32*x**2 = 0.
-1, 2
Let t = 4379237/3236 + -30/809. Let u = t - 1353. What is x in 0*x + 1/4*x**4 - 1/2*x**2 + 0 - u*x**3 = 0?
-1, 0, 2
Let b(d) be the third derivative of d**6/720 + d**5/180 - 7*d**4/48 + d**3/2 + 659*d**2. Let b(r) = 0. What is r?
-6, 1, 3
Let t(f) be the first derivative of 4*f**5/5 - 7*f**4 - 328*f**3/3 - 424*f**2 - 672*f + 1928. Determine s so that t(s) = 0.
-3, -2, 14
Let g(o) be the second derivative of -11*o + 3 + 7/27*o**3 - 1/54*o**4 - 2/3*o**2. Factor g(c).
-2*(c - 6)*(c - 1)/9
Let r(m) = -3*m**2 + 1 + 1 - 1 + m**2. Let i(d) = -6*d**2 + 10*d - 10. Let w(a) = -i(a) + 2*r(a). What is g in w(g) = 0?
2, 3
Let w(u) be the first derivative of 0*u**3 + 0*u + 37 + 0*u**2 - 4*u**5 - 15/4*u**4 - 5/6*u**6. Find z such that w(z) = 0.
-3, -1, 0
Suppose 22067*l - 43295*l - 4*l**3 - 244*l**2 + 22012*l + 1024 = 0. What is l?
-64, -1, 4
Let -2042829 - 6094998*i - 1646/3*i**3 + 100284*i**2 + i**4 = 0. What is i?
-1/3, 183
Let g(l) be the first derivative of 2*l**5/5 + 105*l**4/2 - 436*l**3 + 1324*l**2 - 1776*l + 993. Find t such that g(t) = 0.
-111, 2
Suppose -b - 14673*w + 78 = -14677*w, -4*w = 76. Determine g so that 42/5*g + 0 + 2/5*g**b = 0.
-21, 0
Let j(y) = -2*y + 42. Let f be j(16). Suppose s = -m + f, -12*s + 13*s + 2*m = 15. Factor 0*o - o**3 - 1/2*o**s + 0*o**2 + 0 - 3/2*o**4.
-o**3*(o + 1)*(o + 2)/2
Suppose 0 = -5*p + 3*g + 10, p + 4*g + 0 = 2. Factor 865 + 2971*s - 2*s**p - 3457 - 2827*s.
-2*(s - 36)**2
Factor -208/7*p**2 - 62/7*p**4 - 176/7*p**3 + 32/7 - 8/7*p**5 - 64/7*p.
-2*(p + 2)**4*(4*p - 1)/7
Let i(u) = -9*u**3 + 2383*u**2 + 9520*u + 9541. Let c(x) = -x**3 + 3*x**2 + 1. Let z(n) = -5*c(n) + i(n). Factor z(r).
-4*(r - 596)*(r + 2)**2
Determine j so that 1/2*j**3 - 2809/2 + 2703/2*j + 105/2*j**2 = 0.
-53, 1
Let k be (-832)/9432 - 12/(-108). Let m = 3123/917 + k. Find j such that -148/7*j + m - 52/7*j**2 = 0.
-3, 2/13
Let u(w) be the second derivative of w**5/4 + 535*w**4/12 + 1765*w**3/3 + 1500*w**2 + 1644*w. Factor u(i).
5*(i + 1)*(i + 6)*(i + 100)
Let g(k) be the first derivative of -2*k**5/5 + 57*k**4 - 2240*k**3 + 6272*k**2 + 136. Determine s, given that g(s) = 0.
0, 2, 56
Factor 43/3 + 14*d - 1/3*d**2.
-(d - 43)*(d + 1)/3
Suppose -324*v - 3/5*v**2 - 43740 = 0. What is v?
-270
Let v(x) be the first derivative of 1/2*x**4 - x**2 + 4*x - 4/3*x**3 - 59. Find p such that v(p) = 0.
-1, 1, 2
Factor -6/7*n**4 + 0*n - 36*n**2 + 0 - 138/7*n**3.
-6*n**2*(n + 2)*(n + 21)/7
Suppose -2 = -2*l - 2*o, 0*l = 2*l - 4*o - 2. Let g(n) = n**3 - 1. Let i(h) = 6*h**3 - 18*h**2 + 30*h - 18. Let k(p) = l*i(p) - 4*g(p). Factor k(c).
2*(c - 7)*(c - 1)**2
Let o be (-71)/(-639)*(-3 + 3). Suppose 0 + 75/4*q**5 + o*q**2 - 87/4*q**3 + 3*q + 0*q**4 = 0. What is q?
-1, -2/5, 0, 2/5, 1
Suppose -4*o = -0*o - 8. Factor 17*m**2 - 3*m**3 + 22*m**o - 13 + 5 - 69*m + 41.
-3*(m - 11)*(m - 1)**2
Let o(f) be the third derivative of 1/12*f**5 + 0 + 0*f + 490/3*f**3 - 35/6*f**4 + 98*f**2. Solve o(p) = 0 for p.
14
Let z(d) be the second derivative of -d**4/48 - 23*d**3/12 - 45*d**2/8 + 3000*d. Factor z(f).
-(f + 1)*(f + 45)/4
Let d(h) be the second derivative of 0 - 1/255*h**6 + 1/51*h**4 + 0*h**2 + 36*h + 1/170*h**5 + 0*h**3. Let d(k) = 0. Calculate k.
-1, 0, 2
Let k = 3833774/11 + -348524. Factor 2/11*i**3 - 6/11*i**2 + 2/11*i**4 - k*i - 4/11.
2*(i - 2)*(i + 1)**3/11
Factor 1839/2*w + 123/2*w**2 - 45.
3*(w + 15)*(41*w - 2)/2
Let i(w) be the third derivative of -1/140*w**7 + 0 - 58*w**2 + 1/40*w**5 - 1/60*w**6 + 3/32*w**4 + 0*w**3 - 1/1344*w**8 + 0*w. Find g, given that i(g) = 0.
-3, -1, 0, 1
Suppose 9*v = 13*v - 2768. Let q = -8994/13 + v. Factor 4/13*p**3 + 0*p**4 + 0*p**2 - q*p**5 + 0 - 2/13*p.
-2*p*(p - 1)**2*(p + 1)**2/13
Let o = -34 + 34. Factor o - 157 + 40*g - 43 - 2*g**2.
-2*(g - 10)**2
Let -4*a**3 - 29*a**2 + 337*a**5 - 333*a**5 + 16*a**4 - 35*a**2 - 48*a = 0. Calculate a.
-3, -2, -1, 0, 2
Let k(h) be the third derivative of -841*h**6/270 + 319*h**5/15 - 20*h**4 + 8*h**3 - 19*h**2 - h. Suppose k(o) = 0. Calculate o.
6/29, 3
Let p = -1403 - -960. Let k = p + 1330/3. Determine h, given that 0*h**2 + 0 - 1/3*h**3 + k*h**4 + 0*h = 0.
0, 1
Let d(y) be the first derivative of -11 - y**3 + 3/8*y**4 + 7/2*y**2 - 1/20*y**5 + 0*y. Let k(a) be the second derivative of d(a). Factor k(o).
-3*(o - 2)*(o - 1)
Factor -25/2*k**2 + 0 + 1/4*k**4 + 12*k + 1/4*k**3.
k*(k - 6)*(k - 1)*(k + 8)/4
Let f = 160453/3 + -53483. Factor 0 + 2/9*s**3 - 2/9*s**2 - f*s.
2*s*(s - 3)*(s + 2)/9
Let z = 360 - 353. Let x(j) = j**3 + 7*j**2 - j - 28. Let v(l) = 2*l**3 + 14*l**2 - l - 56. Let t(b) = z*x(b) - 3*v(b). Determine i so that t(i) = 0.
-7, -2, 2
Let z(t) be the first derivative of 8*t + 1/3*t**3 - 1/6*t**4 + 9 + 0*t**2. Let h(q) be the first derivative of z(q). Find c such that h(c) = 0.
0, 1
Let n(m) be the first 