q**4.
3*q*(q - 2)*(q - 1)**2
Find v such that -615*v**3 + 10*v - 5749*v**2 - 5*v**4 + 19210*v - 12851*v**2 = 0.
-62, 0, 1
Find k such that -661/2*k + 1/4*k**2 + 436921/4 = 0.
661
Suppose -3*v - 5*o + 22 = -173, -v = 2*o - 64. Determine d so that -d**2 + 17*d + 37*d - v*d + 17*d**2 + 4*d**5 - 16*d**4 + 12*d**3 = 0.
-1, 0, 1, 2
Let c(h) be the second derivative of h**6/15 - 46*h**5/5 + 7*h + 24. Determine y so that c(y) = 0.
0, 92
Suppose 21*f - 13881 - 11886 = 0. Let j = f + -1225. Find m such that 0 + 4/3*m + 2*m**3 + 11/3*m**j = 0.
-4/3, -1/2, 0
Let s(f) be the third derivative of f**6/960 + 1957*f**5/480 + 39935*f**4/8 + 79707*f**3/4 + 6212*f**2 - 2*f. Let s(w) = 0. What is w?
-978, -1
Let a = 1/771 - -6163/3855. Let q be 35/20 + ((-6630)/(-600) - 6). Factor -q*z**2 + 32/5*z - a + 2*z**3.
2*(z - 2)*(z - 1)*(5*z - 2)/5
Solve -24*h**2 - 56/3*h**4 - 14/3*h - 2*h**5 - 36*h**3 + 0 = 0 for h.
-7, -1, -1/3, 0
Let c(r) be the third derivative of r**8/448 + 13*r**7/280 - 63*r**6/160 + 83*r**5/80 - 17*r**4/16 - 2177*r**2. Let c(f) = 0. What is f?
-17, 0, 1, 2
Let v = 161/3 + -53. Suppose -4*b - 5*j - 12 = 0, -152*b + 154*b = 4*j + 20. Factor -v*m**2 - 4/3*m + b.
-2*(m - 1)*(m + 3)/3
Let f(z) be the second derivative of 21*z + 2 - 48*z**3 - 216*z**2 - 5*z**4 - 1/5*z**5. Factor f(y).
-4*(y + 3)*(y + 6)**2
Let o be (-14)/(-4) - 1/2. Suppose 27*s + 148*s**o - 158*s**3 - 65*s**2 + 8*s = 0. Calculate s.
-7, 0, 1/2
Let t be 2 + 3 - (-7 + 5). Factor -6*j**3 + 2*j**5 - 29*j**4 + 0*j**5 - t*j + 33*j**4 - 8*j**2 + 15*j.
2*j*(j - 1)**2*(j + 2)**2
Let b(m) = -m**2 - 317*m + 1631. Let y be b(5). Suppose 3/2*p**2 + y*p + 39/2 = 0. Calculate p.
-13, -1
Let p(h) = 5*h**3 + 14*h**2 - 2*h - 2. Let k(y) be the first derivative of 3*y**4/2 + 5*y**3 - 3*y**2/2 - 3*y + 86. Let s(w) = -2*k(w) + 3*p(w). Factor s(g).
3*g**2*(g + 4)
Suppose 502 + 408 = 13*g. Let j be (-6)/9 - g/(-33). Factor -j - 14/11*k + 2/11*k**2.
2*(k - 8)*(k + 1)/11
Solve 134 + 780*a**4 - 2*a**5 - 1546*a**4 + 202 - 302*a + 47*a**3 + 802*a**4 - 372*a**2 + 257*a**3 = 0 for a.
-7, -1, 1, 24
Let q(p) be the second derivative of -p**6/120 + 9*p**5/40 + 5*p**4/4 + 31*p**3/12 + 21*p**2/8 + 2626*p. Find d such that q(d) = 0.
-1, 21
Let t(o) be the second derivative of -o**5/80 - 17*o**4/48 - 2*o**3/3 - 1205*o. Factor t(c).
-c*(c + 1)*(c + 16)/4
Let w be (-39)/(-6) + (-2)/(-2 - 2). Suppose w*k = -3 + 17. Determine p, given that -50/11*p**4 - 32/11 - 368/11*p**k - 192/11*p - 240/11*p**3 = 0.
-2, -2/5
Let u(f) be the third derivative of 0 - 111/140*f**6 - 1931/140*f**5 - 1/70*f**7 - 645/14*f**4 + 0*f + 450/7*f**3 + 104*f**2. Determine r so that u(r) = 0.
-15, -2, 2/7
Let i(s) be the first derivative of -20*s - 2/3*s**3 + 40 + 7*s**2. Find p such that i(p) = 0.
2, 5
Let x be 616/19800 + 2 + 48/(-25). Let u(q) be the second derivative of 1/30*q**5 + 21*q + 0*q**2 + 1/9*q**4 + x*q**3 + 0. Factor u(n).
2*n*(n + 1)**2/3
Let w(b) be the third derivative of b**5/210 + 187*b**4/42 + 248*b**3/7 + 3411*b**2. Factor w(q).
2*(q + 2)*(q + 372)/7
Let i(f) be the second derivative of f**4/24 + 43*f**3/3 + 1849*f**2 + 61*f + 10. Factor i(s).
(s + 86)**2/2
Let x = -91136/3 + 30380. Suppose x*t**2 + 0 + 4/3*t = 0. Calculate t.
-1, 0
Factor 13*a**2 + 121/6 + 10/3*a**3 + 1/6*a**4 - 110/3*a.
(a - 1)**2*(a + 11)**2/6
Let v be (-63)/(-756) + 481/(-12). Let w be 6 + (-48)/v + -6. Factor -w*g + 2/5*g**2 - 4/5 + 6/5*g**3 + 2/5*g**4.
2*(g - 1)*(g + 1)**2*(g + 2)/5
Solve 3284*y + 417*y**2 - 2551*y - 1681*y + 534*y**2 - 3*y**3 = 0.
0, 1, 316
Suppose -7*x = x - 304. Suppose 0 = -4*f - 22 + x. Solve -10*n**2 + f*n**2 - 20*n**5 - 3*n**3 + 3*n**4 + 3*n + 23*n**5 + 3 - 3*n**3 = 0 for n.
-1, 1
Let r(m) be the third derivative of -m**8/2352 - m**7/245 - m**6/840 + 2*m**5/35 - 2*m**4/21 + 9*m**2 - 44. Suppose r(o) = 0. What is o?
-4, 0, 1
Suppose -28300*u + 506*u**2 + 8*u**3 + 56705*u - 28279*u = 0. Calculate u.
-63, -1/4, 0
Factor -1/9*s**2 - 487/9*s + 488/9.
-(s - 1)*(s + 488)/9
Let n(o) be the second derivative of o**5/4 - 40*o**4/3 + 640*o**3/3 - o - 2698. Factor n(x).
5*x*(x - 16)**2
Let l = 77 + -71. Suppose -l*n = 8 - 26. Find m, given that -3 - 171*m**2 + 135*m**2 + 36*m**4 + 8*m**n - 16*m**5 + 3 + 8*m = 0.
-1, 0, 1/4, 1, 2
Let l be (111 - 57)*((-90)/25)/(-6). What is a in 0 - 32/5*a**4 + l*a - 18/5*a**2 - 112/5*a**3 = 0?
-9/4, 0, 1
Suppose 4*t + 5 = 17. Suppose c - 2 = -2*p + 6, t*c - 8 = 2*p. What is q in -5*q**3 + 15*q**2 - 5*q**c + 8*q - 10 + 6*q - 9*q = 0?
-2, -1, 1
Let y(z) be the third derivative of -z**5/270 - 1663*z**4/54 - 2765569*z**3/27 + 2796*z**2. Let y(t) = 0. Calculate t.
-1663
Let s(n) = 237*n**2 - 862*n - 341. Let h be s(4). Factor 20 + 5/2*i**2 + 1/2*i**h - 23*i.
(i - 4)*(i - 1)*(i + 10)/2
Suppose -4*k = 163*h - 159*h - 36, -2*k - 4*h + 28 = 0. Find d such that -3/5*d**2 - 2/5*d**k - 8/5*d + 4/5 + 7/5*d**3 = 0.
-1, 1/2, 2
Let a(z) = -2*z**3 + z**2 - z + 80. Let j(o) = -2*o - 18. Let d be j(-9). Let g be a(d). Factor -8*p**3 + g*p + 106 + 36*p**3 - 104*p**2 - 74.
4*(p - 2)**2*(7*p + 2)
Let q be (-219 + 218)*(-4)/(16/10). Determine t so that 0 - q*t + 1/4*t**2 = 0.
0, 10
Let v = 359282 - 359280. Find q, given that -7/5*q**2 + 0 + v*q + 1/5*q**3 = 0.
0, 2, 5
Let w(y) = -33*y + 37. Suppose l + s = 3, 3*l + l + 2*s - 8 = 0. Let d be w(l). Factor -1/2*j**3 + 0 + 1/4*j**5 + 0*j**2 + 0*j**d + 1/4*j.
j*(j - 1)**2*(j + 1)**2/4
Let a be (3 + (-749)/(-21))/(-5*14/(-15)). Factor a*h - 4/7*h**2 - 4.
-2*(h - 14)*(2*h - 1)/7
Let l(o) be the third derivative of -o**6/120 + 17*o**5/12 - 209*o**4/3 - 968*o**3 + 32*o**2 + 15*o. Let l(z) = 0. Calculate z.
-3, 44
Let m(x) be the second derivative of -2*x**6/15 - 33*x**5/10 + 3*x**4 + 17*x**3/3 + 1070*x + 1. Let m(h) = 0. What is h?
-17, -1/2, 0, 1
Suppose -3*d + 6 = x, -9*d + 5*x + 10 = -4*d. Factor 206*a**2 - a**3 + 5*a**3 - 179*a**d - 1220 + 8616 + 7740*a + 321*a**2.
4*(a + 1)*(a + 43)**2
Let t(p) be the first derivative of -2*p**5/55 + 14*p**4/11 - 32*p**3/3 + 320*p**2/11 - 2459. Find s such that t(s) = 0.
0, 4, 20
Let u(g) be the second derivative of 5*g**4/12 + 10640*g**3/3 + 11320960*g**2 - 698*g. Let u(a) = 0. Calculate a.
-2128
Let r(o) = o**4 + 189*o**3 + 171*o**2 - 923*o + 548. Let l(z) = -4*z**4 - 945*z**3 - 855*z**2 + 4616*z - 2735. Let m(y) = -2*l(y) - 11*r(y). Factor m(d).
-3*(d - 1)**2*(d + 3)*(d + 62)
Let i be (-9)/21 + (-24)/(-7). What is t in 412*t**i - 4*t**2 + 11*t - 413*t**3 + 4 - 10 = 0?
-6, 1
Determine q so that -1154*q**2 + 144000*q - 6413*q**2 - 440*q**3 - q**4 - 2242*q**2 - 3*q**4 + 209*q**2 = 0.
-60, 0, 10
Let a(v) be the second derivative of 0*v**3 - 2 - 5/168*v**7 + 0*v**6 - 5/24*v**4 + 20*v + 3/16*v**5 + 0*v**2. Factor a(k).
-5*k**2*(k - 1)**2*(k + 2)/4
Let h be (-31828)/23871*2/8*((-16)/12)/2. Find x such that -8/3*x - 46/9*x**3 - 16/9*x**4 - h*x**5 - 56/9*x**2 + 0 = 0.
-3, -2, -1, 0
Let w = -11/241 + 21953/482. Let i(s) be the first derivative of -153/4*s**2 - 147/8*s**4 + w*s**3 + 27/2*s - 3. Let i(k) = 0. Calculate k.
3/7, 1
Let w(n) = -2*n + 9. Let f(a) = -12*a**3 - a**2 + 3*a - 1. Let j be f(1). Let u be w(j). Suppose -u*r**5 - 32*r**5 + 60*r**5 - 3*r + 6*r**3 = 0. What is r?
-1, 0, 1
Let q(r) be the second derivative of -16*r**6/75 + 83*r**5/25 - 18*r**4/5 - 282*r**3/5 + 324*r**2/5 - 2*r + 1287. Suppose q(d) = 0. What is d?
-2, 3/8, 3, 9
Let h(q) be the second derivative of 13*q**7/168 + 103*q**6/120 + 291*q**5/80 + 341*q**4/48 + 16*q**3/3 - 3*q**2/2 + 835*q. Suppose h(z) = 0. What is z?
-3, -2, -1, 1/13
Let s = -8232 + 8235. Let k(b) be the first derivative of 3/25*b**5 - 6/5*b**4 + 0*b**2 - 81/5*b + 18 + 18/5*b**s. Factor k(i).
3*(i - 3)**3*(i + 1)/5
Suppose 5*g - 385 = 5*v, -4*g - g = -15. Let o = v - -76. Factor -2*j**3 - j**3 - 10*j**2 + 15*j**o + 10*j**2.
-3*j**2*(j - 5)
Suppose j + 5*u = 3*u + 16, -u + 2 = 0. Factor 5*h**4 + j*h + 8861 - 8861 - 12*h**2 - 2*h**4 - 3*h**3.
3*h*(h - 2)*(h - 1)*(h + 2)
Factor -4168*p**2 + 23 + 10 - 33 - 830432*p - 4*p**3 - 255332*p.
-4*p*(p + 521)**2
Determine h so that 10/3*h**2 - 292 + 2186/3*h = 0.
-219, 2/5
Let w = 34 - 67/2. Let v be (-22)/(-6) - (6/21)/(90/210). Factor -w*b**2 - v*b + 7/2.
-(b - 1)*(b + 7)/2
Suppose 4*p + 34 = 50. Let f be (-187)/(-34) - (p + (-5)/2). Find v, given that -1/2 + v**2 - v**3 + 1/2*v**