1 - -6)*-13. Let l(c) be the first derivative of 3/2*c**2 + 0*c - 22 - c**q. Factor l(s).
-3*s*(s - 1)
Let f be 14/28 + (-2201)/(-2). Factor 5*d**4 + d**4 - f*d**5 + 1098*d**5.
-3*d**4*(d - 2)
Suppose 82*b = 11*b + 852. Suppose 121*g - b = 115*g. Factor -2/5*x**4 - 4/5*x**3 + 2/5*x + 2/5*x**5 - 2/5 + 4/5*x**g.
2*(x - 1)**3*(x + 1)**2/5
Factor 212*c + 43*c**2 + 59*c**2 - 104*c**2 + 166 + 48.
-2*(c - 107)*(c + 1)
Let y(l) = 3*l**3 - 51*l**2 + 193*l - 143. Let o(r) = r + 1. Let s(j) = o(j) - y(j). Factor s(q).
-3*(q - 12)*(q - 4)*(q - 1)
Let o(s) be the second derivative of s**4/3 + 40*s**3/3 + 38*s**2 - 28*s + 8. Factor o(v).
4*(v + 1)*(v + 19)
Suppose -66 - 52*y**2 + 27*y + 50*y**2 - 198 - 16 + 51*y = 0. Calculate y.
4, 35
Let i(u) be the first derivative of -u**3/12 - 55*u**2/8 - 125*u/2 + 2001. Solve i(o) = 0.
-50, -5
Let n = 2095/13 - 161. Let o = -120675/13 - -9283. Determine g so that o*g + 0 + n*g**2 - 2/13*g**3 = 0.
-1, 0, 2
Suppose 9*m = -5*m - 42. Let v be m + 3 - 12/(-18). Factor 2/3*q - v*q**2 + 0.
-2*q*(q - 1)/3
Suppose 5*u - 35 = -q, 2*q + 4*u - 42 - 22 = 0. Suppose 3*l + 20 = 8*l + m, q = 5*l + 3*m. Factor -2/7*t**2 + 0 - 1/7*t**4 + 3/7*t**l + 0*t.
-t**2*(t - 2)*(t - 1)/7
Let p(i) be the third derivative of i**7/280 + 19*i**6/160 - 23*i**5/20 + 1005*i**2 - 2. Let p(a) = 0. What is a?
-23, 0, 4
Suppose 8 = -10*c + 14*c. Suppose c*u + 4*d - 42 = 0, d = -3*d + 20. Factor -x**3 - 9*x + 5*x - 9 - 7*x**2 - u*x.
-(x + 1)*(x + 3)**2
Let t(w) be the second derivative of w**5/70 - 3*w**4/7 - 61*w**3/7 + 200*w**2/7 - 3*w + 300. Find p such that t(p) = 0.
-8, 1, 25
Factor 7/9*d**2 - 1/9*d**3 + 0 - 4/3*d.
-d*(d - 4)*(d - 3)/9
Let i = -262 - -267. Solve -401*p**5 - 76*p**3 - 546*p**i - 38*p**2 - 416*p**4 + 243*p**5 + 34*p**2 = 0 for p.
-1/4, -1/11, 0
Let q be ((-691)/(-5))/(11868/1610). Let h = q - 7/86. Suppose -1 + h*n**3 - 16/3*n**4 - 17/3*n**2 - 20/3*n = 0. What is n?
-1/4, 1, 3
Let u(a) be the third derivative of -a**5/450 - 2*a**4/15 - 128*a**3/45 + 2639*a**2. Find r such that u(r) = 0.
-16, -8
Let c be (6846/11410)/((-3)/(-7)). Factor 2/5*w**3 + 0 - 7/5*w**4 - 2/5*w + c*w**2.
-w*(w - 1)*(w + 1)*(7*w - 2)/5
Let n(u) = -u**3 + 5*u**2 - 4*u. Let q be (10/5 - 0) + 0/2. Let l be n(q). Determine a, given that 3*a**2 - a**5 + a**3 + 3*a**l - 10*a**2 + 0*a**2 + 4 = 0.
-1, 1, 2
Let u(s) be the second derivative of s**4/96 - 181*s**3/24 + 32761*s**2/16 - 829*s. Suppose u(q) = 0. What is q?
181
Let x be -13*34/(-1989)*(-138)/(-4) - 7. Factor -x*b - 4/3 + 2/3*b**2.
2*(b - 2)*(b + 1)/3
Let h = -113/108 - 75865/108. Let k = 705 + h. Factor -2*r**4 + k*r**3 + 0 - 2*r + 2*r**2 + 1/2*r**5.
r*(r - 2)**2*(r - 1)*(r + 1)/2
Suppose -14 = 402*f - 404*f + 2*y, -f - 9 = 3*y. Suppose -f*t**3 - 3/2*t + 0 - 15/4*t**2 - 3/4*t**4 = 0. Calculate t.
-2, -1, 0
Let p(j) be the first derivative of 2*j**6/3 + 4*j**5 - 33*j**4 - 308*j**3/3 - 80*j**2 + 4578. Let p(o) = 0. What is o?
-8, -1, 0, 5
Let p(f) be the second derivative of -f**6/60 - f**5/8 + 7*f**4/24 + 5*f**3/12 - 3*f**2/2 + 2*f - 1130. What is x in p(x) = 0?
-6, -1, 1
Let a be (-225)/(-18)*(-1)/(-1). Let i(r) be the first derivative of a*r**2 - 30*r - 5/3*r**3 + 4. Let i(p) = 0. Calculate p.
2, 3
Let q = 456286 - 456283. Find x, given that 18/13*x**q + 0*x + 0 + 28/13*x**2 + 2/13*x**4 = 0.
-7, -2, 0
Suppose 0 = 3*f + 5*q - 98, -4*f - q - q + 112 = 0. Factor f + 6*w**3 + 28*w**2 - 14*w + 67*w - 14*w**3 + 9*w**3.
(w + 1)**2*(w + 26)
Let p(m) be the first derivative of m**5/5 - 533*m**4/4 + 531*m**3 - 1591*m**2/2 + 530*m - 544. Factor p(v).
(v - 530)*(v - 1)**3
Let a(t) = 58*t**2 - 13535*t - 1428055. Let p(i) = 20*i**2 - 6766*i - 714027. Let n(d) = 2*a(d) - 5*p(d). Factor n(x).
(4*x + 845)**2
Let u(g) be the third derivative of g**6/30 + 58*g**5/15 + 1221*g**2. Factor u(z).
4*z**2*(z + 58)
Let b(o) be the third derivative of -o**8/1512 + 2*o**7/945 + o**6/180 + 536*o**2. Factor b(r).
-2*r**3*(r - 3)*(r + 1)/9
Find x such that 3/2*x**2 + 5171907/2 - 3939*x = 0.
1313
Let j be 15/(-5) - (-1 - 0). Let q be (-4 + 8 - -17)*(-1 - j). Factor 10*z + 2*z**2 + 10*z - q*z - z**3.
-z*(z - 1)**2
Solve -3*y**5 - 80*y - 989347*y**2 + 989477*y**2 - 15*y**3 + 8*y**5 - 40*y**4 = 0 for y.
-2, 0, 1, 8
Let j(m) be the third derivative of m**5/450 + 281*m**4/90 + 78961*m**3/45 - 1820*m**2. Factor j(q).
2*(q + 281)**2/15
Let u = -203600 + 203600. Let u - 50/9*b**4 + 8/3*b**3 + 8/9*b**2 + 0*b + 2*b**5 = 0. Calculate b.
-2/9, 0, 1, 2
Find g, given that -47601*g**2 - 2632*g - 1165 + 47771*g**2 + 7045 - 3*g**3 - 2*g**3 + 812*g = 0.
6, 14
Let s(q) be the second derivative of -3/70*q**5 - 90*q - 1/28*q**4 + 0*q**2 + 0 + 1/70*q**6 + 1/7*q**3. Factor s(t).
3*t*(t - 2)*(t - 1)*(t + 1)/7
Let f = -234 + 1053. Suppose s = 10*s - f. Factor -s - 4*g**2 + 93 + 2*g**4 - 4*g**3 - g**5 + 3*g**5 + 2*g.
2*(g - 1)**2*(g + 1)**3
Let v be 282*(-14)/(-4368) + -3*4/78. Suppose -9/2 - v*z**2 - 15/4*z = 0. What is z?
-3, -2
Let n = 192 + -124. Factor -113 - 42 - 18 - 76*r + 32 - n*r - 3*r**2.
-3*(r + 1)*(r + 47)
Let z(o) be the third derivative of o**9/30240 - o**8/2520 + o**7/504 - o**6/180 + 19*o**5/12 + 59*o**2. Let u(n) be the third derivative of z(n). Factor u(a).
2*(a - 2)*(a - 1)**2
Suppose 5*s - 4*u = 10 - 1, 0 = s + 5*u + 4. Let t(a) = -3*a**3 - a**2. Let n(x) = -3*x**3 - 29*x**2 + 81*x - 81. Let v(f) = s*n(f) - 2*t(f). Factor v(g).
3*(g - 3)**3
Let x = 981/743 + -2200/2229. Find m such that 0 + x*m**3 - 61/3*m**2 + 0*m = 0.
0, 61
Let t be 11/(-33) - 124/(-84). Let d be ((-120)/130)/((-42)/78). Factor -2/7*c**3 + t*c**2 - 2/7*c - d.
-2*(c - 3)*(c - 2)*(c + 1)/7
Let c(r) be the third derivative of -r**5/140 - 3*r**4/8 - 10*r**3/7 + 3762*r**2. Let c(h) = 0. What is h?
-20, -1
Let h(b) be the third derivative of 13*b**5/140 - 11*b**4/56 - b**3/7 - 6*b**2 + 10*b. Find l such that h(l) = 0.
-2/13, 1
Let q(o) = 8*o**2 - 78*o + 139. Let m(h) = -14*h**2 + 154*h - 277. Let u(z) = -3*m(z) - 5*q(z). Let u(j) = 0. Calculate j.
2, 34
Suppose -51 = -3*h - 36. Let w be -4 + h/(-3) + 8. Suppose -1/3*t**2 - 8/3*t - w = 0. Calculate t.
-7, -1
Let o(h) be the second derivative of 98*h**6/15 + 2576*h**5/5 + 42592*h**4/3 + 153088*h**3 + 778752*h**2 + 16*h + 8. What is f in o(f) = 0?
-156/7, -4
Let q be (8811/18)/11 + (-12)/8. Suppose 180 = 17*i + q*i. Factor 7/3*f + 1/6*f**i + 7/6*f**2 + 4/3.
(f + 1)*(f + 2)*(f + 4)/6
Find u, given that -29/2*u**2 + u**3 - 94/3*u - 16 + 1/6*u**4 = 0.
-12, -1, 8
Let y(m) be the first derivative of -4*m**3/3 - 1164*m**2 - 338724*m - 2081. What is x in y(x) = 0?
-291
Find m such that 7*m**2 - 28/3 + 10/3*m**3 - 4/3*m + 1/3*m**4 = 0.
-7, -2, 1
Let y be -371 + 7 + 4*(-4)/(-16). Let z = y - -365. Factor -2/5*u**z - 4/5 - 6/5*u.
-2*(u + 1)*(u + 2)/5
Let g be (-1 - (-2 - -3)) + 35/(630/48). Let t(r) be the first derivative of g*r**3 - 3 - 1/2*r**4 + 2*r**2 + 0*r. Factor t(s).
-2*s*(s - 2)*(s + 1)
Let o(q) = q**3 + 5*q**2 + q - 14. Let b be o(-6). Let m = b - -81. Factor 5*l**4 + 25*l**2 + 127 - 119 - 36*l + m*l**2 - 27*l**3.
(l - 2)**2*(l - 1)*(5*l - 2)
Solve -108*s + 84 - 3283715*s**2 + 3283714*s**2 + 481 = 0.
-113, 5
Let k(y) be the first derivative of -2*y**3/3 - 65. Let r(h) = -3*h**2 - 126*h + 1323. Let s(d) = 3*k(d) - r(d). Determine w, given that s(w) = 0.
21
Determine b so that -410109*b - 216 - 848*b**2 - 44*b**3 + 818573*b - 409484*b = 0.
-18, -1, -3/11
Suppose -9 = -2*x - 5, -3*o + 5*x - 4 = 0. Suppose -2*i - 3*m = 3, -o*i + 8 = -3*m - 7. Determine y, given that 0*y + 0 - 2/3*y**2 + 2/3*y**i - 1/6*y**4 = 0.
0, 2
Let y(o) be the first derivative of -845*o**6/6 + 312*o**5 + 1815*o**4/4 - 6370*o**3/3 + 2640*o**2 - 1440*o - 1024. Determine q, given that y(q) = 0.
-2, 12/13, 1
Factor 0*a - 1/6*a**5 + 0 + 22/3*a**2 + 20/3*a**3 + 7/6*a**4.
-a**2*(a - 11)*(a + 2)**2/6
Suppose -1299 = 4*a + 781. Let l = a + 2083/4. Solve -l*c + 1/2*c**5 + 1/4*c**4 + 11/4*c**2 - 11/4*c**3 + 0 = 0.
-3, 0, 1/2, 1
Let b be 5/2 + -1 + -4*7/(-56). Let q(p) be the first derivative of -6/5*p + 9/10*p**b + 0*p**3 - 3/20*p**4 - 26. Factor q(w).
-3*(w - 1)**2*(w + 2)/5
Let o be (-8)/(-10)*205/41. Let f be (2/o)/((-9)/(18/(-4))). Factor -1/4*l + 0 - f*l**2.
-l*(l + 1)/4
Let a(w) be the first derivative of w**3/6 + 33*w**2/4 - 35*w + 2181. Solve a(k) = 0.
-35, 2
Let q(i) be