5*g - 32/5*g**3 + 222/5*g**2 = 0.
-1, 17
Let u(x) be the second derivative of -x**4/48 + 7*x**3/24 - 42*x - 3. Factor u(a).
-a*(a - 7)/4
Let b(w) = 2*w**2 + 28*w - 4. Let r(q) = q**2 + 16*q - 1. Let d be 100/32*-2 + 30/(-40). Let t(a) = d*r(a) + 4*b(a). Factor t(m).
(m - 3)*(m + 3)
Let h be 1 + (-3528)/(-7) - -2. Let c = 508 - h. Solve 5/3*s**2 + c + 7/3*s + 1/3*s**3 = 0 for s.
-3, -1
Let c(r) be the second derivative of r**5/80 - 5*r**4/24 + 17*r**3/24 + 7*r**2/2 - r + 2. Solve c(w) = 0.
-1, 4, 7
Let w(l) be the third derivative of l**6/420 + 2*l**5/15 + 5*l**4/3 + 176*l**3/21 + 1041*l**2. What is q in w(q) = 0?
-22, -4, -2
Let v be ((-9457)/1050 - -9)*-193. Let l = v - -7/150. Let 2/15*m**4 - l - 2/5*m**2 - 2/3*m**3 + 34/15*m = 0. Calculate m.
-2, 1, 5
Let f be (-6 + (-30)/(-12))*(-2 - 3 - (-240)/56). Suppose -475/2*q + f*q**4 + 125 - 65/2*q**3 + 285/2*q**2 = 0. Calculate q.
1, 2, 5
Let 820*a**2 + 101*a**3 + 1440 - 49*a**4 - 2580*a + 3*a**5 + 0*a**5 + 39*a**4 - 8*a**5 + 234*a**3 = 0. Calculate a.
-6, 1, 8
Factor -861 - 1/2*j**2 + 253/2*j.
-(j - 246)*(j - 7)/2
Let c(y) be the second derivative of 0 - 7/12*y**7 + 35/12*y**6 - 232*y + 0*y**3 + 0*y**2 - 11/5*y**5 + 1/2*y**4. Let c(d) = 0. What is d?
0, 2/7, 3
Let c(s) = -s**4 - s**3 - s**2 - s - 1. Let f(w) = 92998*w**2 - 93013*w**2 - 20 - 5*w**3 + 5*w**5 - 5*w**4 - 20*w + 0*w. Let b(k) = 20*c(k) - f(k). Factor b(a).
-5*a**2*(a + 1)**3
Let 831*w**3 + 2877*w - 119*w**4 - 913*w - 1771*w**2 + 18 - 923*w = 0. What is w?
-2/119, 1, 3
Suppose 0 = 457*f - 12652 + 3670 - 4728. Solve -2 + f*g - 225/2*g**2 = 0 for g.
2/15
Let m be 2/4 - (-15)/6. Let u be (30 - -55)*4/20. What is b in -4*b**2 + 8*b**3 - 46*b**3 + u*b**m + 17*b**3 = 0?
-1, 0
Let o(g) be the first derivative of -g**9/1512 - g**8/840 + g**7/420 + g**6/180 - g**3 - 6*g**2 + 343. Let l(s) be the third derivative of o(s). Factor l(t).
-2*t**2*(t - 1)*(t + 1)**2
Let f be (-128)/(-4) + (-6)/2. Let g = f - 26. Factor -26*k**3 + 6*k**2 - 9*k**4 + 16*k - 3*k**5 - 7*k + 20*k**3 + g.
-3*(k - 1)*(k + 1)**4
Let h be -2 - (-13)/5 - (-10003)/7145. Suppose -3/2*y - 1/2*y**3 + h*y**2 + 0 = 0. Calculate y.
0, 1, 3
Let c = 7415414/5 + -1483078. Factor -c*f**2 - 2*f**3 + 2*f + 5 - 1/5*f**4.
-(f - 1)*(f + 1)*(f + 5)**2/5
Let w be 10/(-105)*(-7)/6. Let v(s) be the second derivative of -1/12*s**5 - 5*s + 1/12*s**4 + 0*s**2 + 0 + w*s**3. Factor v(y).
-y*(y - 1)*(5*y + 2)/3
Let a(b) = -621*b - 62713. Let l be a(-101). Determine i, given that -33/4 + 1/4*i**2 - l*i = 0.
-1, 33
Let y(v) be the first derivative of -v**3/21 - 418*v**2/7 - 174724*v/7 - 1530. Factor y(r).
-(r + 418)**2/7
Let b(h) = 117*h**3 - 111*h**2. Let n(z) = 119*z**3 - 113*z**2 + z. Let t(j) = -7*b(j) + 6*n(j). Factor t(d).
-3*d*(d - 1)*(35*d + 2)
Suppose -14*t + 25*t - 22*t = -33. Find f such that -48/5*f**2 + 0 + 16/5*f + 52/5*f**t + 4/5*f**5 - 24/5*f**4 = 0.
0, 1, 2
Let j = 269 + -209. Let j*y**2 + 5*y**4 - 22*y**3 + 8*y**3 - 10*y**3 - 16*y**3 = 0. Calculate y.
0, 2, 6
Suppose -40/7*r + 76/7 + 1/7*r**2 = 0. Calculate r.
2, 38
Suppose 2626 = -5*m + 2681. Suppose s - 17 = m*g - 14*g, 0 = g - 2*s + 6. Factor 0*t + 0 + 1/2*t**3 + 5/4*t**g - 3/4*t**2.
t**2*(t + 1)*(5*t - 3)/4
Let a(i) be the second derivative of 3*i**5/160 + 5*i**4/8 - i**3/4 - 15*i**2 + 3455*i. Determine d, given that a(d) = 0.
-20, -2, 2
Let z be (9 - 14)*5/(100/648). Let r = z - -165. Suppose -20*b + 5/2*b**4 + 20*b**r - 40 + 75/2*b**2 = 0. Calculate b.
-4, -1, 1
Suppose 760*z - 345 = 765*z. Let g = z - -72. Factor -3/5*y - 3/5 + 3/5*y**g + 3/5*y**2.
3*(y - 1)*(y + 1)**2/5
Determine j so that -1/5*j**5 + 768/5 + 72*j**3 + 224*j**2 + 304*j + 8*j**4 = 0.
-2, 48
Let t(g) be the second derivative of 2 - 1/45*g**3 - 80*g - 1/150*g**5 + 2/5*g**2 - 2/45*g**4. Find c such that t(c) = 0.
-3, -2, 1
Let s(m) be the third derivative of m**5/30 + 7*m**4/2 + 29*m**3/2 + 450*m**2. Let n be s(-41). Factor 14*t**2 + 7/3*t**4 - 6*t - 61/6*t**3 - 1/6*t**n + 0.
-t*(t - 6)**2*(t - 1)**2/6
Suppose 2*x + 4 = -5*j, -j - 11*x + 4 = -9*x. Let h be 6/48*8 + j/(-4). Factor 3/4*p + 3/4*p**5 + 3/2*p**2 - 3/4*p**4 - h*p**3 - 3/4.
3*(p - 1)**3*(p + 1)**2/4
Let s(u) be the third derivative of u**5/420 + 5*u**4/84 - 13*u**3/14 - 5157*u**2. Find g, given that s(g) = 0.
-13, 3
Suppose p = 35*p + 7072. Let n be 66/260 - (-32)/p. Factor 4/5*m + 0 + 3/5*m**3 + n*m**4 + 6/5*m**2.
m*(m + 2)**3/10
Factor -2941*b**2 - 5*b**3 - 2320*b**2 + 1367645 - b**2 - 1362415*b + 37*b**2.
-5*(b - 1)*(b + 523)**2
Let p = 70503/282011 + -1/1128044. Factor g**3 - g + 1 - 3/4*g**2 - p*g**4.
-(g - 2)**2*(g - 1)*(g + 1)/4
Let w(p) be the first derivative of 15*p**3 - 11*p**2/2 - p - 1. Let a be w(6). Solve 1553*q**2 - 4*q**5 - a*q**2 - 4*q**3 - 8*q**4 = 0.
-1, 0
Let p(y) be the first derivative of 5/2*y**2 + 62 + 10*y**3 + 0*y. Factor p(i).
5*i*(6*i + 1)
Suppose -40 = -132*z + 127*z. Suppose 0 = -2*d + 4*y - z, -5*d - 87*y + 85*y = -16. Determine i so that -1/4*i**d + 1/2*i + 0 = 0.
0, 2
Let y(m) be the first derivative of -2*m**5/5 - 14*m**4/5 + 2*m**3 + 74*m**2/5 - 112*m/5 - 3481. Suppose y(o) = 0. Calculate o.
-28/5, -2, 1
Let p be (-10 - 21)/(0 + 1)*3. Let l be (-33 - -29)*(-1 - p/108). Find r, given that 2/9 + 4/3*r**2 + l*r**3 + r = 0.
-1, -2/5
Let v(r) be the third derivative of -r**5/75 - 107*r**4/10 - 850*r**2. Suppose v(z) = 0. Calculate z.
-321, 0
Let o(a) be the third derivative of a**8/1848 + a**7/1155 - 2*a**6/33 - 38*a**5/165 + 24*a**4/11 + 192*a**3/11 + 2*a**2 + 3493. Solve o(r) = 0 for r.
-4, -2, 3, 6
Let j(c) be the second derivative of -6241/7*c**2 - 1/42*c**4 - 158/21*c**3 - 28*c + 2. Suppose j(y) = 0. What is y?
-79
Determine n so that -1/3*n**4 + 0 - 11/3*n**2 + 26/3*n - 14/3*n**3 = 0.
-13, -2, 0, 1
Factor 1783323/4*i + 1/4*i**3 + 2313/4*i**2 + 458314011/4.
(i + 771)**3/4
Let f(u) be the first derivative of 0*u**2 - 1/6*u**6 + 1/5*u**5 - 1/3*u**3 + 1/4*u**4 - 2 + 0*u. Factor f(t).
-t**2*(t - 1)**2*(t + 1)
Suppose 32*f**4 + 50*f + 32 - 390*f**3 - 382*f**3 + 4*f**5 + 872*f**3 + 152*f**2 + 62*f = 0. Calculate f.
-2, -1
Let p be 36/16*1/(-3)*4112/(-1542). Factor 12/5 - 9*l**p + 36/5*l + 12/5*l**3.
3*(l - 2)**2*(4*l + 1)/5
Factor -6/5*k + 308/5 - 2/5*k**2.
-2*(k - 11)*(k + 14)/5
Suppose -184*h - 609 = -333*h - 491*h + 671. Let 36*k**h + 6/5*k**3 + 0*k + 0 = 0. Calculate k.
-30, 0
Let s(n) be the third derivative of n**6/40 + 21*n**5/20 - 11*n**4/4 + 2433*n**2. Find o, given that s(o) = 0.
-22, 0, 1
Let d(b) = b**3 + 62*b**2 + 209*b - 280. Let o(l) = -60*l**2 - 210*l + 280. Let j(q) = 5*d(q) + 4*o(q). Factor j(v).
5*(v - 1)*(v + 7)*(v + 8)
Let k be (-2 + 0 - -5) + -1. Suppose 0 = -149*d + 143*d + 24. Suppose 3 + 2*n**3 + 2*n - 49*n**k - 4*n**3 + n**d + 45*n**2 = 0. Calculate n.
-1, 1, 3
Suppose 20/7*b**2 + 2/7*b**3 + 24/7 - 46/7*b = 0. Calculate b.
-12, 1
Let s(w) = -28 - 3*w**2 + 26 - 25*w - 6*w**2. Let y(f) = -3*f**2 - 8*f - 1. Let o(r) = -2*s(r) + 7*y(r). Factor o(q).
-3*(q + 1)**2
Let s = -344 + 346. Let 3445 - 22*x**4 - 4*x**3 - 7*x**5 + 14*x**s + 6*x**4 + 11*x - 3443 = 0. Calculate x.
-1, -2/7, 1
Let h(k) = 40*k + 1484. Let i be h(-37). Let t(s) be the third derivative of 1/480*s**5 - 1/96*s**4 - i*s**2 + 0 + 1/48*s**3 + 0*s. Factor t(f).
(f - 1)**2/8
Let v(g) be the first derivative of g**4 - 4*g**3/3 - 66*g**2 - 252*g - 2571. Factor v(f).
4*(f - 7)*(f + 3)**2
Let h(r) = -7*r**4 + 92*r**3 - 160*r**2 + 8*r + 12. Let s(l) = 36*l**4 - 462*l**3 + 801*l**2 - 42*l - 63. Let w(p) = 21*h(p) + 4*s(p). Factor w(c).
-3*c**2*(c - 26)*(c - 2)
Let i(y) be the first derivative of 35/2*y**2 + 1/4*y**4 + 24*y + 4*y**3 - 52. Solve i(v) = 0.
-8, -3, -1
Let f be ((-2715)/(-362) + 1*-7)/2. Factor -1/2*v - 1/4*v**2 + 0 + f*v**3.
v*(v - 2)*(v + 1)/4
Let j(o) be the second derivative of o**7/8400 - o**6/1800 + o**5/1200 - 41*o**3/6 - 20*o + 4. Let s(i) be the second derivative of j(i). Factor s(q).
q*(q - 1)**2/10
Let l(t) = -10*t**3 + 182*t**2 - 1942*t + 60. Let y(w) = -9*w**3 + 181*w**2 - 1941*w + 50. Let v(n) = 5*l(n) - 6*y(n). Let v(x) = 0. Calculate x.
0, 22
Let u(g) be the first derivative of g**6/15 - 6*g**5/25 - 121*g**4/5 - 732*g**3/5 - 1487*g**2/5 - 1254*g/5 + 13850. Determine d so that u(d) = 0.
-11, -3, -1, 19
Let t(y) be the first derivative of 16/3*y**3 + 0*y - 24*y**2 - 41 +