Let z(b) = -24*b**2 - 15*b. Let c(t) = 31*t**2 + 12*t. Let v(n) = -3*c(n) - 4*z(n). Factor v(j).
3*j*(j + 8)
Let f be (-45)/(-630)*21/90*1. Let q(s) be the third derivative of -f*s**5 + 0 + 0*s**4 + 0*s**3 + 0*s - 5*s**2 - 1/120*s**6. Determine b so that q(b) = 0.
-1, 0
Factor -1/5*a**4 + 0 - 13/5*a**3 - 48/5*a**2 - 36/5*a.
-a*(a + 1)*(a + 6)**2/5
Let m(c) = -c**2 + 5*c + 123. Let v be m(-9). Let d be v/(-9) + ((-104)/24 - -8). Solve 12/5*s**2 - 4/5*s**d + 16/5 - 8/5*s**3 + 32/5*s = 0.
-2, -1, 2
Let n(h) be the second derivative of -2*h + 1/3*h**4 - 4/3*h**3 + 1 + 0*h**2. Find l such that n(l) = 0.
0, 2
What is t in 57/4 + 55/4*t**2 + 113/4*t - 1/4*t**3 = 0?
-1, 57
Let t(c) be the third derivative of 0*c + 5/4*c**5 + 29/8*c**4 - 261*c**2 + 7/2*c**3 + 3/40*c**6 + 0. Factor t(r).
3*(r + 1)*(r + 7)*(3*r + 1)
Let y(f) be the first derivative of -f**3 - 4707*f**2 - 7385283*f + 2550. Factor y(t).
-3*(t + 1569)**2
Let c be ((-8)/42)/((16/5152)/((-6)/24)). Factor -6*z**2 - 2/3*z**3 - c*z - 10.
-2*(z + 1)*(z + 3)*(z + 5)/3
Let k(s) be the third derivative of 18*s**2 + 2/15*s**5 + 1/2*s**4 - 4/3*s**3 - 2/15*s**6 + 1/84*s**8 + 0 + 0*s**7 - s. Factor k(f).
4*(f - 1)**3*(f + 1)*(f + 2)
Let u(p) be the first derivative of -245*p**2 - 1148/3*p**3 - 46/5*p**5 - 93*p**4 - 1/3*p**6 + 150 + 2058*p. Find o, given that u(o) = 0.
-7, -3, 1
Let o = -569 - -571. Let n be 20/o + (-15 - -4 - -6). Factor 2/19*c + 0*c**2 + 0*c**4 + 2/19*c**n + 0 - 4/19*c**3.
2*c*(c - 1)**2*(c + 1)**2/19
Suppose -2*j + 799*a - 798*a + 1 = 0, 0 = j - 4*a + 10. Solve -12/7*p + 0 - 507/7*p**3 + 156/7*p**j = 0.
0, 2/13
Factor 3668 - 4373 - 5*j**2 + 226*j + 30*j - 6*j.
-5*(j - 47)*(j - 3)
Let x be (-6)/7 - (-476)/98. Factor 10/11 - 32/11*j + 2/11*j**x + 36/11*j**2 - 16/11*j**3.
2*(j - 5)*(j - 1)**3/11
Let o(g) be the first derivative of -4*g**2 + 2/5*g**5 - 2*g**4 + 2*g - 126 + 4*g**3. Suppose o(d) = 0. Calculate d.
1
Let b(t) be the first derivative of t**2 + 32*t + 49 + 1/12*t**4 - 11/18*t**3. Let g(v) be the first derivative of b(v). Determine u so that g(u) = 0.
2/3, 3
Let j(y) be the second derivative of -y**5/110 - 43*y**4/66 - 14*y**3/11 + 1116*y. Factor j(z).
-2*z*(z + 1)*(z + 42)/11
Let n(p) = 5*p**2 + 903*p + 98577. Let x(q) = 9*q**2 + 1801*q + 197151. Let f(a) = -5*n(a) + 3*x(a). Determine h so that f(h) = 0.
-222
Let i(a) be the second derivative of 0*a**3 + 0*a**5 - 9*a + a**2 - 5/24*a**4 + 1/60*a**6 - 2. Find k, given that i(k) = 0.
-2, -1, 1, 2
Let j be ((-1)/(-12))/(1049/4196). Factor j - 1/3*s - 1/3*s**2 + 1/3*s**3.
(s - 1)**2*(s + 1)/3
Let w(a) be the third derivative of a**6/120 + 13*a**5/25 - 479*a**4/120 - 17*a**3/5 + 4*a**2 - 118*a - 1. Factor w(h).
(h - 3)*(h + 34)*(5*h + 1)/5
Let b = 1741/1204 + -360/301. Factor b*w**4 + 3/4*w + 0 - 3/4*w**3 - 1/4*w**2.
w*(w - 3)*(w - 1)*(w + 1)/4
Determine s, given that 264/5*s**2 - 528/5 + 24/5*s**3 - 33/5*s**4 - 3/5*s**5 - 48/5*s = 0.
-11, -2, 2
Let p = -1357 + 1437. Suppose p*h - 118 = 42. Factor -1/2 + 2/3*n - 1/6*n**h.
-(n - 3)*(n - 1)/6
Let a(j) be the second derivative of 52441*j**6/240 - 229*j**5/20 + j**4/6 + 5314*j. What is m in a(m) = 0?
0, 4/229
What is q in 74*q**2 - 53*q - 168 + 2*q**5 + 78*q**3 - 1975*q**4 + 1949*q**4 - 97*q - 50*q = 0?
-1, 2, 6, 7
Let n(q) be the third derivative of -q**5/330 + 259*q**4/66 + 349*q**2. Solve n(v) = 0 for v.
0, 518
Let j(n) be the first derivative of 455/4*n**4 - 62*n**3 - 46*n**2 + 66 - 169/5*n**5 - 8*n. Suppose j(f) = 0. Calculate f.
-2/13, 1, 2
Let s(m) = -19*m - 137. Let b be s(-13). Suppose -94*c - 32 = -b*c. Factor -40/3*x**c + 22*x + 8/3*x**3 - 12.
2*(x - 2)*(2*x - 3)**2/3
Suppose g + 61 = 2*w, 0*w + 116 = 4*w + 4*g. Let v = w - 26. Factor -j**2 + 2*j**3 + j**4 + 0*j**v - j**3 - j.
j*(j - 1)*(j + 1)**2
Let f(d) be the third derivative of d**7/70 - 3*d**6/40 + d**5/20 + 3*d**4/8 - d**3 + d**2 - 1761*d. Find r such that f(r) = 0.
-1, 1, 2
Let n(j) be the first derivative of 2*j**3/3 + 1278*j**2 + 816642*j + 620. What is g in n(g) = 0?
-639
Let g(d) be the second derivative of -d**6/10 + 117*d**5/20 - 135*d**4/2 - 1078*d**3 - 4356*d**2 - 141*d + 3. Determine z, given that g(z) = 0.
-3, -2, 22
Let x = 5 + -10. Let c(l) = -l**2 + 1. Let n(d) = 2*d**2 - 1. Let z(q) = 3*c(q) + 2*n(q). Let g(f) = -3*f**2 - 5. Let j(i) = x*g(i) - 20*z(i). Solve j(v) = 0.
-1, 1
Let z(k) be the second derivative of -k**6/70 + 3*k**4/7 - 8*k**3/7 - 63*k - 32. Factor z(n).
-3*n*(n - 2)**2*(n + 4)/7
Let -3*m**4 - 2183*m**2 + 2186*m**2 + 2*m**5 - m**5 + 3*m**3 - 4*m**5 + 0*m**3 = 0. Calculate m.
-1, 0, 1
Solve 0*o**4 - 10/9*o**3 + 0*o**2 + 0 + 2/9*o**5 + 8/9*o = 0 for o.
-2, -1, 0, 1, 2
Suppose -21*n + 131 = -310. Find s, given that -3*s - 16*s**3 - 7*s**3 - 2*s**3 - n + 30*s**3 + 21*s**2 - 2*s**3 = 0.
-7, -1, 1
Determine n so that -2/5*n**2 - 84 - 146/5*n = 0.
-70, -3
Factor 5394*h**2 + 183*h**3 - 11532*h + 3/2*h**4 + 0.
3*h*(h - 2)*(h + 62)**2/2
Determine s, given that 349*s - 1101*s**4 - 261*s**2 - 964*s - 150 + 1080*s**4 + 183*s**3 = 0.
-1, -2/7, 5
Let w(y) be the second derivative of -y**5/4 + 1325*y**4/2 - 528010*y**3 + 3152180*y**2 - 197*y - 2. Factor w(f).
-5*(f - 794)**2*(f - 2)
Let q = -38 - -34. Let u(k) be the third derivative of -k**5/60 + k**4/24 - k**3/6 + 20*k**2. Let i(v) = v**2 - 19*v + 4. Let t(a) = q*u(a) - i(a). Factor t(c).
3*c*(c + 5)
Let n(a) = -10*a**4 - 7*a**3 + 28*a**2 + 43*a. Let u(h) = 11*h**4 + 6*h**3 - 29*h**2 - 44*h. Let t(j) = -10*n(j) - 9*u(j). Factor t(y).
y*(y - 2)*(y + 1)*(y + 17)
Determine r, given that -20*r**3 - 4*r**4 + 17*r**2 - 23046773 + 27*r**2 + 23046845 + 132*r = 0.
-6, -1, 3
Let o(h) = -875*h**3 + 3518*h**2 - 34*h + 6. Let c(t) = -875*t**3 + 3522*t**2 - 31*t + 9. Let y(m) = 2*c(m) - 3*o(m). Factor y(w).
5*w*(w - 4)*(175*w - 2)
Let y be -2 + (-4 - (2 - 5)). Let a(n) = n**4 + n - 1. Let q(i) = 7*i**4 - 12*i**3 - 20*i**2 + 15*i + 13. Let v(c) = y*a(c) + q(c). Let v(k) = 0. Calculate k.
-1, 1, 4
Let r(c) = -c**3 - 5*c**2 - 29. Let j be r(-6). Determine n, given that -1298*n**2 - 2*n**4 - 459*n**3 + 49*n**3 + 9703*n**2 + j*n**4 = 0.
0, 41
Let m(k) = k**2 - 1. Let s be m(-2). Suppose -r + 8 = j, 5*j + 5*r + 7*r = 68. Let 3*b**4 - 3*b**j - 30*b**s + 5*b**5 + 538*b - 40*b**2 - 553*b = 0. What is b?
-1, 0, 3
Let s be 3*14/9*77*(-192)/(-10976). Find c such that -47/7*c**2 + 4/7*c**3 + 3/7*c**4 + s*c + 20/7 = 0.
-5, -1/3, 2
Let l(a) be the third derivative of -1/6*a**4 + 0*a - 1/20*a**6 + 0*a**3 - 1/210*a**7 - 4*a**2 + 2 - 3/20*a**5. Factor l(o).
-o*(o + 1)**2*(o + 4)
Let u = -115491 + 577471/5. Factor 36/5*t**2 + 32/5*t + 2/5*t**4 + u*t**3 + 2.
2*(t + 1)**3*(t + 5)/5
Let v(t) = 2*t**2 - 10*t - 38. Let u be v(-3). Let w be ((-476)/140)/((-6)/u). Suppose -w*l**2 + 7/3*l**3 + 17/3*l - 2 - 1/3*l**4 = 0. Calculate l.
1, 2, 3
Let l = 97145/291219 - 24/97073. Determine o so that -112/3*o**2 - 90*o - 6*o**3 - l*o**4 - 175/3 = 0.
-7, -5, -1
Let p(n) be the first derivative of -n**4/6 + 178*n**3/9 + 392*n**2 + 2424*n - 4093. Factor p(x).
-2*(x - 101)*(x + 6)**2/3
Let m(t) = 2*t**2 - t - 1. Let z(y) = -5*y**2 + 36*y + 35. Let v(d) = -6*m(d) - 2*z(d). Factor v(c).
-2*(c + 1)*(c + 32)
Let o(c) be the third derivative of 1/2352*c**8 + 0*c**4 - 56*c**2 + 0*c**3 + 1/490*c**7 - 3/280*c**6 + 0*c + 1/84*c**5 + 0. Find l, given that o(l) = 0.
-5, 0, 1
Suppose 44 = 71*t - 60*t. Let y be 3 + (4 - -2) + (-30)/t. Factor -3*d - 1/4*d**3 - 2 - y*d**2.
-(d + 2)**3/4
Let q be (-33)/44*13 - -5 - -5. Find x, given that 21/4*x + 5 + q*x**2 = 0.
-20, -1
Let z(k) be the second derivative of -9*k**2 - 2 + 7/2*k**3 + 12*k + 0*k**4 - 3/20*k**5. Let z(y) = 0. What is y?
-3, 1, 2
Let y(b) = -2. Let m(l) = -11*l**2 + 9*l + 6*l**2 - 22*l - 24 - 13*l + l. Let i(v) = -m(v) + 2*y(v). Factor i(t).
5*(t + 1)*(t + 4)
Let y(j) = -4*j**4 + 17*j**3 - 9*j**2 + j - 2. Let s(v) = 4*v**4 - 16*v**3 + 10*v**2. Let a = -321 - -319. Let t(q) = a*y(q) - 3*s(q). Solve t(r) = 0 for r.
-1/2, 1, 2
Determine w so that 63/5*w**2 - 66/5*w - 128/5 + 1/5*w**3 = 0.
-64, -1, 2
Let h be ((-20)/12435)/((4 - 3) + 1). Let x = 46430/7461 + h. Suppose -x*o**4 + 136/9*o - 98/9*o**5 + 364/9*o**2 + 16/9 + 286/9*o**3 = 0. What is o?
-1, -2/7, 2
Let b(h) be the second derivative of h**7/21 + 26*h**6/3 + 2772*h**5/5 + 36784*h**4/3 - 170368*h**3/3 + 6