92/7*h**3 - 1264*h**2 + 4/7*h**5 - 5920/7*h + 0 = 0.
-2, 0, 185
Let q(r) = -7*r**2 + 7*r**2 - 7*r**4 + 5*r**3 - 3*r + 3*r**2. Let d(o) = 22*o**4 - 14*o**3 - 10*o**2 + 10*o. Let m(u) = 3*d(u) + 10*q(u). Factor m(k).
-4*k**3*(k - 2)
Let d(c) be the second derivative of -c**7/168 + 47*c**6/120 + 258*c + 4. Factor d(n).
-n**4*(n - 47)/4
Factor 0 - 152/9*m**2 - 8/9*m**4 + 610/9*m**3 + 0*m.
-2*m**2*(m - 76)*(4*m - 1)/9
Let l be (-48)/64*(4 + 3 + -11) - 1. Factor -8/3 - 8/9*d + 2/9*d**l.
2*(d - 6)*(d + 2)/9
Let w(f) be the second derivative of 2*f**6/15 + 8*f**5/5 + 8*f**4/3 - 64*f**3/3 - 96*f**2 + 849*f. Factor w(y).
4*(y - 2)*(y + 2)**2*(y + 6)
Let c be ((-87)/(-10) - -3) + 629/(-74). Determine h, given that 4/5*h**2 - c + 4/5*h**3 - 16/5*h = 0.
-2, -1, 2
Let o(d) be the second derivative of d**5/50 - 4*d**4/15 - 2444*d**3/15 - 8112*d**2 - 3*d - 2582. Factor o(n).
2*(n - 60)*(n + 26)**2/5
Let d be -165 - -165 - (64/(-30) - 0). Find a, given that -d*a**2 + 2/5*a - 8/15*a**4 + 2*a**3 + 4/15 = 0.
-1/4, 1, 2
Let g be (-18529)/(-15882) + 5/(-6). Factor g*l**4 - 1/6*l + 1/6*l**5 + 0 - 1/3*l**2 + 0*l**3.
l*(l - 1)*(l + 1)**3/6
Let j(q) be the first derivative of -1/9*q**6 + 0*q**3 + 0*q - 8/5*q**5 - 6*q**4 + 0*q**2 + 35. Suppose j(m) = 0. Calculate m.
-6, 0
Let q be (8 + (8 - (-700)/(-42)))/(-2). Factor -26/3*x + 25/3 + q*x**2.
(x - 25)*(x - 1)/3
Let b = -153 - -162. Suppose -2*n + k + b = 0, -4*n + 3*k = 5*k + 2. Factor -n + 7/3*g**3 - 10*g**2 + 29/3*g.
(g - 3)*(g - 1)*(7*g - 2)/3
Determine j, given that 7291/5*j**3 + 0 + 457/5*j**4 - 2178/5*j - 5577/5*j**2 + 7/5*j**5 = 0.
-33, -2/7, 0, 1
Determine p so that 3/5*p**2 + 1617/5*p - 3246/5 = 0.
-541, 2
Factor 12*h + 3/4 - 51/4*h**2.
-3*(h - 1)*(17*h + 1)/4
Suppose -4*g = -3*p - 10, -p - 4*g = 19912 - 19930. Solve 0 + 14/5*o + 1/5*o**4 - 1/5*o**p - 14/5*o**3 = 0 for o.
-1, 0, 1, 14
Let g(j) = 4860*j + 48604. Let y be g(-10). Factor 8/7*a**3 + 0 + 0*a + 4/7*a**y + 0*a**2.
4*a**3*(a + 2)/7
Let j(t) be the first derivative of -10*t**3 + 1105*t**2/2 - 3045*t - 6141. Determine f, given that j(f) = 0.
3, 203/6
Let u(s) be the second derivative of -16/5*s**2 + 4*s - 4/15*s**3 - 1/120*s**4 + 2. Factor u(n).
-(n + 8)**2/10
Let j(s) be the second derivative of -7*s**6/720 - s**5/30 + s**4/36 - 9*s**2/2 - 2*s + 4. Let n(m) be the first derivative of j(m). Factor n(r).
-r*(r + 2)*(7*r - 2)/6
Let x = 2/7945 - -313/19068. Let q(m) be the third derivative of m**2 + 0*m + 1/24*m**4 - x*m**5 + 0*m**3 + 0. Factor q(c).
-c*(c - 1)
Suppose 1/2*o**2 - 593/4*o - 297/4 = 0. Calculate o.
-1/2, 297
Let d(z) = 5*z**2 - 535*z - 515. Let g(q) = q**2 - 89*q - 86. Let u be ((-4)/(-3))/(((-78)/18)/(-13)). Let i(f) = u*d(f) - 25*g(f). Factor i(n).
-5*(n - 18)*(n + 1)
Let m(o) be the third derivative of -3 + 7/120*o**5 + 3*o**3 + 0*o - 21*o**2 - 1/480*o**6 - 5/8*o**4. Let m(a) = 0. What is a?
2, 6
Suppose -135*r**2 + 62379*r**3 - 86*r - 292*r - 62382*r**3 = 0. What is r?
-42, -3, 0
Let 105*c**2 + 36*c**3 + 55*c**4 + 43*c**3 + 21*c**4 - 181*c**2 - 84*c + 5*c**5 = 0. Calculate c.
-14, -6/5, -1, 0, 1
Suppose -227 = 2*g - 515. Suppose g*l - 85 = 127*l. Find i, given that 2/9*i**2 + 0 + 2/3*i**3 - 2/9*i**l - 4/9*i - 2/9*i**4 = 0.
-2, -1, 0, 1
Suppose 0*o = 2*o - 5*a - 326, -o = -4*a - 166. Factor 0 - 4*d**3 - 2*d**3 + 163*d - 6 + 17*d**2 - o*d.
-(d - 3)*(2*d - 1)*(3*d + 2)
Let z = 11021/4 + -2755. Let p(c) be the first derivative of -1/2*c**2 - 3*c + c**3 + z*c**4 + 2. Solve p(d) = 0.
-3, -1, 1
Suppose -6 = 4*h + 2*d, -7 = 2*h + 3*d - 14. Let a be h + -5 + 49/5. Solve -4/5 - a*o**2 + 8/5*o = 0 for o.
1
Let z(l) be the second derivative of -l**4/18 - l**3/3 + 5472*l. Find t such that z(t) = 0.
-3, 0
Let n(h) be the first derivative of -19*h**4/18 + 46*h**3/27 + 11*h**2/9 - 10*h/3 - 10585. Factor n(g).
-2*(g - 1)**2*(19*g + 15)/9
Find j, given that 19/4*j**2 - 29/4*j + 4*j**3 - 3/2 = 0.
-2, -3/16, 1
What is k in 56/9 - 2/9*k**2 + 2/3*k = 0?
-4, 7
Suppose -2*v - 21 = -7. Let b(n) = -n**2 - 24*n - 116. Let l be b(v). What is o in 14/19*o + 8/19 - 2/19*o**l + 4/19*o**2 = 0?
-1, 4
Let v(p) = -p**3 - 42*p**2 + 118*p - 761. Let a be v(-45). Suppose 5/3*t**a - 20/3 - 20/3*t + 20/3*t**3 + 5*t**2 = 0. What is t?
-2, -1, 1
Suppose -5*m - 5*x + 300 = 0, -4*m + 58*x + 264 = 56*x. Factor 2*s**2 + 63*s**3 + 2*s**2 - m*s**3.
-s**2*(s - 4)
Suppose 142*x = -188*x + 368*x - 76. Factor 93/2 + 140*i + 3/2*i**x.
(i + 93)*(3*i + 1)/2
Let j be 63/35*5/3. Solve -3*l**5 + 1 + 4*l**5 - 2*l**j + 0*l**4 - 2*l**2 + 1750*l + l**4 - 1749*l = 0.
-1, 1
Let s(m) = -31*m**4 + 1357*m**3 + 2737*m**2 + 1379*m + 5. Let u(j) = 111*j**4 - 4749*j**3 - 9579*j**2 - 4827*j - 18. Let f(l) = 18*s(l) + 5*u(l). Factor f(r).
-3*r*(r - 229)*(r + 1)**2
Let h = 686 - 711. Let d(q) = 7*q**3 - 15*q**2 + 65*q + 69. Let c(y) = 30*y**3 - 60*y**2 + 260*y + 275. Let x(i) = h*d(i) + 6*c(i). Solve x(o) = 0.
-5, -1, 3
Find y, given that -1/4*y**4 + 0*y - 15/2*y**2 - 11/4*y**3 + 0 = 0.
-6, -5, 0
Let -14*k**4 + 38*k**3 + 44*k + 3*k**5 + 4*k**2 - 71*k**3 - 4*k**5 = 0. Calculate k.
-11, -2, 0, 1
Let j(s) be the first derivative of 7*s**5/90 - 8*s**4/27 + 11*s**3/27 - 2*s**2/9 + 31*s + 17. Let m(h) be the first derivative of j(h). Factor m(b).
2*(b - 1)**2*(7*b - 2)/9
Solve 243*a + 1704/7 - 3/7*a**2 = 0 for a.
-1, 568
Let o(g) be the first derivative of -2*g**5/15 + 5*g**4/6 + 2*g**3/9 - 5*g**2/3 + 1445. Determine m so that o(m) = 0.
-1, 0, 1, 5
Determine v so that 336*v**2 - 3280/3*v - 27*v**3 + 3200/3 = 0.
20/9, 8
Let d(v) be the third derivative of -81/40*v**6 + 0*v + 8*v**3 + 18*v**5 - 37/2*v**4 + 0 + 17*v**2. What is j in d(j) = 0?
2/9, 4
Let z(r) be the third derivative of -r**6/360 + r**5/180 + 13*r**4/18 - 80*r**3/9 + 8*r**2 + 32. Factor z(u).
-(u - 5)*(u - 4)*(u + 8)/3
Suppose 88 = 15*p - 92. Factor 14 + 2*d + 0 - p*d + d**2 + 2.
(d - 8)*(d - 2)
Suppose -1/9*q**5 + 1/9*q**3 + 0 + 1/3*q**4 - 1/3*q**2 + 0*q = 0. What is q?
-1, 0, 1, 3
Let y(l) be the first derivative of l**8/420 - l**7/140 + l**6/120 - l**5/240 + 68*l**3/3 - 72. Let h(u) be the third derivative of y(u). Factor h(a).
a*(2*a - 1)**3/2
Suppose -3*q - 16*p = -2219 + 2287, 2*p = 4*q - 26. Factor -97/10*m**2 - 1/10*m**q - 72/5*m - 9/5*m**3 - 32/5.
-(m + 1)**2*(m + 8)**2/10
Let i(w) be the second derivative of -4*w - 1/54*w**4 + 7/9*w**2 - 2/9*w**3 - 6. Factor i(r).
-2*(r - 1)*(r + 7)/9
Let c(h) be the second derivative of h**7/504 - h**6/144 + 37*h**4/6 - 4*h - 12. Let w(i) be the third derivative of c(i). Suppose w(r) = 0. What is r?
0, 1
Suppose -43/2*b - 33/2 + 1/6*b**3 - 29/6*b**2 = 0. What is b?
-3, -1, 33
Factor -1/7*n**3 + 0 - 1275/7*n - 76/7*n**2.
-n*(n + 25)*(n + 51)/7
Let d(m) be the second derivative of -8/3*m**4 + 0 + 19/2*m**3 - 9*m**2 + 1/4*m**5 + 44*m. What is b in d(b) = 0?
2/5, 3
Let m(r) = -13*r - 163. Let v be m(-16). Suppose v = 27*n - 9. What is g in 28/3*g + 20/3*g**n - 8 = 0?
-2, 3/5
Let t(a) be the first derivative of a**4/20 + 2*a**3 + 28*a**2/5 - 1078. Factor t(g).
g*(g + 2)*(g + 28)/5
Let q be -35*(3 + 390/(-180))*(-9)/7. Factor 75/2 - q*m**2 - 5/2*m**3 + 5/2*m.
-5*(m - 1)*(m + 1)*(m + 15)/2
Let f(m) be the second derivative of m**4/6 - 91*m**3 - 274*m**2 + 2*m + 602. Factor f(s).
2*(s - 274)*(s + 1)
Let b(o) be the second derivative of -3*o**5/10 + 69*o**4/4 + 35*o**3/2 - 2*o - 538. Determine d so that b(d) = 0.
-1/2, 0, 35
Factor -2*w**3 - 29 - 76*w**2 - 111*w - 43 - 35*w.
-2*(w + 1)**2*(w + 36)
Let m(q) be the first derivative of -2*q**5/5 - 162*q**4 - 53132*q**3/3 - 52164*q**2 - 51842*q + 2986. Factor m(n).
-2*(n + 1)**2*(n + 161)**2
Factor 324*u**2 - 2063978 + 320*u + 2063978 + 4*u**3.
4*u*(u + 1)*(u + 80)
Let c be (19/1463*(-84)/(-30))/((-5)/(-25)). Factor 0 + 0*m**2 + c*m**4 - 2/11*m**3 + 0*m.
2*m**3*(m - 1)/11
Solve -5028*k + 38*k**2 - 2*k**4 - 5011*k + 16*k**3 + 10059*k = 0.
-1, 0, 10
Let t(p) be the second derivative of -p**4/9 - 1304*p**3/9 - 212552*p**2/3 - 9*p + 37. Let t(m) = 0. Calculate m.
-326
Suppose p - 2*n - 3*n = -13, -5*n = p - 17. Determine i so that -29*i**2 + 10*i + 35*i**p - 9*i**2 - i**3 = 0.
-5, 0, 2
Let g(c) be the first derivative of -c**5/35 + 67*c**4/28 - 2803. Factor g(d).
-d**3*(d - 67)/7
Let p(r) = r**3 + 34*r**2 + 25*r - 170. Let o be p(-33). Let v be o/42 - (108/42 - 3). Let 40/