ermine t, given that d(t) = 0.
-344
Suppose 466*b - 656 - 276 = 0. Let w(v) be the second derivative of 0*v**4 + 1/8*v**3 + 3*v - 1/80*v**5 - 1/4*v**b + 0. Factor w(f).
-(f - 1)**2*(f + 2)/4
Let t(w) be the first derivative of w**3 + 57*w**2 - 240*w + 127. Find h such that t(h) = 0.
-40, 2
Let q(j) be the third derivative of 0 - 6/35*j**7 + 0*j**3 - 169/3*j**4 + 0*j - 1573/15*j**5 - 227*j**2 - 118/15*j**6. Find g such that q(g) = 0.
-13, -2/9, 0
Let q(w) be the first derivative of w**6/120 - 9*w**5/80 - 7*w**4/16 - 11*w**3/24 + 48*w - 43. Let y(a) be the first derivative of q(a). Solve y(h) = 0.
-1, 0, 11
Solve 1296/7 - 3/7*a**3 + 600/7*a + 57/7*a**2 = 0.
-4, 27
Let s(n) = n**3 - 2*n**2 + n + 1. Let i(m) = 5*m**4 - 190*m**3 + 1130*m**2 + 4835*m - 25. Let w(q) = -i(q) - 25*s(q). Suppose w(k) = 0. What is k?
-3, 0, 18
Let x(r) be the second derivative of r**7/105 + r**6/15 + r**5/50 - 17*r**4/30 - 22*r**3/15 - 8*r**2/5 - 959*r. Find t, given that x(t) = 0.
-4, -1, 2
Let g be -2*6/4*1. Let q(x) = -x**4 + x**3 - x - 1. Let o(y) = 6*y**4 + 21*y**3 + 69*y**2 + 87*y + 39. Let u(s) = g*q(s) - o(s). Factor u(h).
-3*(h + 1)*(h + 2)**2*(h + 3)
Let o(h) be the first derivative of h**5/36 - 35*h**4/24 + 95*h**3/9 - 2*h**2 - h + 102. Let p(y) be the second derivative of o(y). What is m in p(m) = 0?
2, 19
Let w(n) be the first derivative of 2*n**5/35 + 79*n**4/14 - 332*n**3/7 + 1012*n**2/7 - 1360*n/7 - 3209. Determine a, given that w(a) = 0.
-85, 2
Let h(a) be the first derivative of 78/5*a**3 + 12/25*a**5 + 24/5*a - 119 - 147/10*a**2 - 123/20*a**4. Solve h(m) = 0.
1/4, 1, 8
Suppose 21444*w**2 + 3/2*w**4 - 426384*w + 2597784 - 324*w**3 = 0. What is w?
14, 94
Let b(m) = 66*m**3 - 120*m**2 - 129*m + 232. Let y(a) = -9*a**3 + 2. Let t(u) = -b(u) - 7*y(u). Factor t(r).
-3*(r - 41)*(r - 1)*(r + 2)
Solve 6231/2*t**2 + 5/4*t**3 + 776258 + 1941891*t = 0 for t.
-1246, -2/5
Let y = -12/175 + 4097/1050. Let x be 2/(-15) - ((-15781)/(-430) - 38). Factor 1 + x*g**2 + y*g.
(g + 3)*(7*g + 2)/6
Let p = 2/36633 + 109891/146532. Factor p*g**2 + 0 - 3*g.
3*g*(g - 4)/4
Let j(p) be the second derivative of -p**5/20 + p**4/12 + 11*p**3/3 - 20*p**2 + 260*p. Determine h so that j(h) = 0.
-5, 2, 4
Let z(w) = -7*w + 4. Let a be z(0). Suppose -a*i = -8*i + 8. Factor o**i + 3/4*o + 0.
o*(4*o + 3)/4
Let p(k) be the second derivative of -k**4/3 - 175*k**3/3 + 450*k**2 - 12534*k. Factor p(j).
-2*(j + 90)*(2*j - 5)
Suppose -574*c + 626*c = 312. Let z(q) be the first derivative of c*q + 9/2*q**2 + 15 + q**3. Solve z(a) = 0.
-2, -1
Let w be (-13)/(-26)*(5 - 1). Let d(k) = 31*k - 9. Let t be d(w). Factor -395*y**2 + 127 + 5*y**3 + t + 460*y**2 + 240*y.
5*(y + 1)*(y + 6)**2
Let i(l) = 26*l + 660. Let y be i(-23). Suppose -y*x + 67*x - 10 = 0. Suppose -3/2*g**x + 15/2 - 6*g = 0. Calculate g.
-5, 1
Let t = 165549 - 165546. Suppose 0 + 8/9*d**2 - 8/3*d + 2/9*d**t = 0. What is d?
-6, 0, 2
Let o(q) = 69*q**2 - 724*q. Let u(g) = 25*g**2 - 241*g. Let h(m) = 4*o(m) - 11*u(m). Factor h(s).
s*(s - 245)
Let a be (-3)/(6*70/224*(-4 + 0)). Determine w, given that 2 + a*w**3 - 2*w**2 - 2/5*w = 0.
-1, 1, 5
Factor -1/4*u**3 + 0 - u**2 + 0*u.
-u**2*(u + 4)/4
Let f(t) = t**4 - t**3 + t**2 + t + 1. Let h(m) = 7*m**4 - 43*m**3 + 47*m**2 - 17*m - 12. Let c(p) = -6*f(p) - h(p). Factor c(r).
-(r - 2)*(r - 1)**2*(13*r + 3)
Let 0*a**3 - 607*a**5 - 32*a**4 + a**3 + 32*a**2 + 606*a**5 = 0. Calculate a.
-32, -1, 0, 1
Let x be (6 + -4)*6/4. Let g(z) be the first derivative of 4 - z**3 + 3 + x*z**2 - 3. Determine l so that g(l) = 0.
0, 2
Determine r, given that -159/4*r**3 - 327/4*r**2 + 3/4*r**4 - 165/4*r + 0 = 0.
-1, 0, 55
Suppose 4*v - 20 = -8. Let n be 6/9 - (0 + (-58)/v). Let -9*r**2 + 16*r**2 + 34*r - r**2 + n = 0. What is r?
-5, -2/3
Let v(d) be the second derivative of 2/15*d**6 + 0*d**2 - 6*d + 0*d**3 - 10 + 1/5*d**5 - 2/3*d**4. Suppose v(s) = 0. Calculate s.
-2, 0, 1
Let s(y) be the third derivative of y**5/100 + 5*y**4/8 - 124*y**2 - y. What is p in s(p) = 0?
-25, 0
Let q be -2 + (5/(-10))/(2/(-28)). Suppose -q*l - 9 = -8*l. Factor 5*p**3 + l + 10*p**2 + p**3 - p**2 + 6*p**2 + 12*p.
3*(p + 1)**2*(2*p + 1)
Let t(g) be the first derivative of g**4/4 - 86*g**3/3 - 357*g**2/2 - 270*g - 8046. Let t(o) = 0. What is o?
-3, -1, 90
Let f(g) = -11*g**2 - 111*g + 14. Let c be f(-10). Determine x so that 5*x**2 + 42*x - 5*x**2 - 38 + 18 + 2*x**2 - c = 0.
-22, 1
Solve 8/15*b**5 - 124/3*b**2 + 112/15*b + 0 - 50/3*b**4 + 50*b**3 = 0 for b.
0, 1/4, 1, 2, 28
Suppose -3*l = 0, 134 = 5*b - 5*l + 119. Suppose -33/4*t - 3/4*t**b + 9/2 + 9/2*t**2 = 0. What is t?
1, 2, 3
Solve 67*f - 1215 + 3*f**2 - 462*f - f = 0.
-3, 135
Let t be (-18)/(-12)*(18/(-117) - (-110)/39). Let v(d) be the first derivative of -3*d + d**3 + 36 + 3/4*d**t - 3/2*d**2. What is r in v(r) = 0?
-1, 1
Let 1405/4*j - j**3 - 117 + 1869/4*j**2 = 0. Calculate j.
-1, 1/4, 468
Factor -244/5 - 57/5*o + 1/5*o**2.
(o - 61)*(o + 4)/5
Let c be (-1)/10 - (-18)/180. Factor 18*q + c - 8*q + 5*q**2 + 0.
5*q*(q + 2)
Let v(a) be the first derivative of -a**6/120 - a**5/10 - 3*a**4/8 + a**2/2 - 29*a + 144. Let t(x) be the second derivative of v(x). Factor t(m).
-m*(m + 3)**2
Let d = -28 - -9. Let k = d - -23. What is u in -9*u**3 - 49*u**5 - 3*u**4 - 6*u**k - 3*u**2 + 46*u**5 = 0?
-1, 0
Factor -69*b**3 - 628 - 67*b**3 + 261*b**3 + 1252*b - 65*b**3 - 64*b**3 - 620*b**2.
-4*(b - 1)**2*(b + 157)
Let u(z) be the second derivative of -z**6/150 + 93*z**5/100 + 19*z**4/6 + 3375*z. Determine n, given that u(n) = 0.
-2, 0, 95
Let u(t) be the second derivative of -9*t**5/20 + 73*t**4/6 - 16*t**3/3 - 573*t - 2. Factor u(b).
-b*(b - 16)*(9*b - 2)
Let -1/3*r**3 + 29/3*r**2 + 65 - 223/3*r = 0. Calculate r.
1, 13, 15
Let h be (175/(-20) + 8)*272/(-102). Let s be (-1 + (-6)/(-4))/1. Factor -s*d**h + 0 + 11/2*d.
-d*(d - 11)/2
Let v(x) be the third derivative of x**9/13608 - x**8/7560 - x**7/756 - x**6/540 + 59*x**3/6 + 11*x**2. Let m(z) be the first derivative of v(z). Factor m(s).
2*s**2*(s - 3)*(s + 1)**2/9
Let w(j) be the first derivative of 5/12*j**3 - 5/24*j**4 + 5/4*j**2 - 1/8*j**5 + 14*j + 5. Let c(g) be the first derivative of w(g). Factor c(o).
-5*(o - 1)*(o + 1)**2/2
Determine i, given that 88 - 224/5*i + 2/5*i**2 = 0.
2, 110
Let o be (6/10)/(11/55). Suppose -3/4*w**4 + 6 - 9/2*w**2 - 15/4*w**3 + o*w = 0. Calculate w.
-2, 1
Let y = -1931413/4 + 482860. Let -y*w + 3/4*w**2 + 0 = 0. Calculate w.
0, 9
Find v, given that -4*v**3 + 8/3*v**5 - 14/3*v**4 + 14/3*v**2 + 4/3*v + 0 = 0.
-1, -1/4, 0, 1, 2
Let v(h) be the first derivative of -2/65*h**5 - 150 + 0*h - 6/13*h**2 + 14/39*h**3 + 0*h**4. What is r in v(r) = 0?
-3, 0, 1, 2
Let m(p) be the third derivative of p**5/210 - 179*p**4/84 - 60*p**3/7 + 2*p**2 + 6*p - 36. Solve m(x) = 0.
-1, 180
Suppose 21/5*f**5 + 0 - 24*f**4 - 12*f**2 - 36/5*f + 39*f**3 = 0. Calculate f.
-2/7, 0, 1, 2, 3
Let l(k) = -k**3 + 12*k**2 - 26*k - 5. Let g be l(9). Suppose 8*i - g + 0*i - 4*i**3 - 4*i + 10*i**2 - 6*i**2 = 0. Calculate i.
-1, 1
Let f = -89 + 93. Let l be 0/(-4 - 0) + f + -2. Determine s so that 0*s**2 + l*s - 30 + s**2 + 26 + s**2 = 0.
-2, 1
Let m be -7987*15/(-15225) - 12/174. Determine l so that 19/5 - 1/5*l**3 + 21/5*l**2 - m*l = 0.
1, 19
Suppose i = 2*o + 21, -5*i + 7*o + 105 = 4*o. Suppose b = 24 - i. Factor 3/2 - 3/4*s**3 + b*s**2 - 15/4*s.
-3*(s - 2)*(s - 1)**2/4
Let p(t) be the second derivative of -143446/21*t**4 - 2693/7*t**5 - 8/147*t**7 + 43928/3*t**3 + 27*t - 808/105*t**6 - 78608/7*t**2 + 0. Factor p(a).
-4*(a + 34)**3*(2*a - 1)**2/7
Solve 96 - 3*b**4 + 402*b**2 - 320*b**3 - 203*b**2 + 40*b**5 - 211*b**2 - 81*b**4 + 280*b = 0 for b.
-3/2, -1, -2/5, 1, 4
Let i(d) be the second derivative of -d**7/357 - 37*d**6/255 - 359*d**5/170 - 287*d**4/102 + 120*d**3/17 + 324*d**2/17 + 4617*d. What is l in i(l) = 0?
-18, -1, 1
Let a(s) be the first derivative of 3*s**5/100 + 2*s**4 + 40*s**3 - 109*s - 163. Let d(z) be the first derivative of a(z). Let d(w) = 0. What is w?
-20, 0
Let v(w) be the third derivative of -15/8*w**4 + 0 + 1/20*w**5 + 0*w + 13*w**3 - 112*w**2. Factor v(q).
3*(q - 13)*(q - 2)
Let z = -176 - -177. Factor z - 3*x**3 - 12*x**3 - 1 + 5*x**4 + 10*x**2.
5*x**2*(x - 2)*(x - 1)
Let b = 524887 - 524885. Factor -39/8 + 1/8*o**b - 5/4*o.
(o -