ative of -q**7/350 - q**6/40 - 2*q**5/25 - q**4/10 + 59*q**2 - 11. Factor k(t).
-3*t*(t + 1)*(t + 2)**2/5
Let q(h) = -19*h**3 - 265*h**2 - 1125*h + 389. Let m(r) = -360*r**3 - 5035*r**2 - 21375*r + 7395. Let u(t) = 4*m(t) - 75*q(t). Factor u(w).
-5*(w + 9)**2*(3*w - 1)
Suppose 0 = 46*m - 40*m - 216. Factor 5*v**5 + 125*v**3 + 39*v - 135*v**2 - 81*v**4 + m*v**4 + 11*v.
5*v*(v - 5)*(v - 2)*(v - 1)**2
Let p(d) be the third derivative of -d**8/560 - 13*d**7/350 - 21*d**6/100 + 8*d**5/25 + 28*d**4/5 - 419*d**2. Suppose p(j) = 0. Calculate j.
-7, -4, 0, 2
Suppose 839523*j - 597*j**2 + 1777*j**2 + 407*j**2 + 148035889 + j**3 = 0. What is j?
-529
Suppose -2113*k + 1804 = -1211*k. Factor 17/6*q - 7/6*q**k - 1/6*q**3 - 3/2.
-(q - 1)**2*(q + 9)/6
Let h(o) be the second derivative of o**8/168 + o**7/210 - 7*o**3/6 + o**2/2 + 3*o. Let l(j) be the second derivative of h(j). Factor l(k).
2*k**3*(5*k + 2)
Let z(n) = 51*n**2 + 2444*n - 190. Let y be z(-48). Let -9/5 - 1/10*s**4 - 3/2*s + 3/10*s**3 + 7/10*s**y = 0. Calculate s.
-2, -1, 3
Let w(x) be the second derivative of -x**7/189 + x**6/15 - 29*x**5/90 + 13*x**4/18 - 2*x**3/3 - 54*x + 1. Find j such that w(j) = 0.
0, 1, 2, 3
Suppose -970 = -76*d - 134. Let g be (d/((-495)/20))/(42/(-27)). Factor 0*a + 2/7*a**5 - 2/7*a**3 - g*a**4 + 0 + 2/7*a**2.
2*a**2*(a - 1)**2*(a + 1)/7
Let s(c) be the third derivative of 5*c**8/336 + 8*c**7/21 + 13*c**6/6 + 4*c**5 - 4442*c**2. Factor s(p).
5*p**2*(p + 2)**2*(p + 12)
Let k(z) be the third derivative of 2*z + 0 + 0*z**4 + 1/105*z**7 - 31*z**2 + 1/3*z**3 - 1/15*z**5 + 0*z**6. Determine d, given that k(d) = 0.
-1, 1
Determine t, given that -208/21*t**2 - 2/7 + 626/21*t = 0.
1/104, 3
Suppose 0 = -244*m + 1646 - 1158. Determine p so that 4/3*p**m + 64/3*p + 256/3 = 0.
-8
Suppose 781*m - 771*m - 210 = 0. Let r be 243/m - 4 - (-112)/(-16). Factor 20/7*k + 12/7*k**2 - 4/7*k**3 + 8/7 - r*k**4.
-4*(k - 2)*(k + 1)**3/7
Let j(m) be the first derivative of -5*m**3/18 - 25*m**2/4 - 35*m/3 - 1749. Factor j(i).
-5*(i + 1)*(i + 14)/6
Let y(j) be the third derivative of j**5/12 - 35*j**4/8 + 245*j**3/3 + 363*j**2. Find q, given that y(q) = 0.
7, 14
Let n be -6 + 95/15 + 6 + (-78)/(-9). Let b(u) be the second derivative of -1/10*u**5 + n*u + 2/3*u**4 + 2*u**2 - 5/3*u**3 + 0. Factor b(k).
-2*(k - 2)*(k - 1)**2
Let n(k) = -k**2 - 3*k + 9. Let b be n(-4). Let s(f) be the first derivative of 4*f - f**b + 39 - 4*f - 36. Factor s(q).
-5*q**4
Let m(p) be the first derivative of -p**6/9 + 14*p**5/5 + 49*p**4/6 - 130*p**3/9 - 32*p**2 + 184*p/3 + 909. Solve m(b) = 0 for b.
-2, 1, 23
Solve -74*u**3 - 3/7*u**5 + 1/7*u + 200/7*u**4 - 64/7 + 384/7*u**2 = 0.
-1/3, 1, 64
Let a(p) = -3*p**4 - 33*p**3 - 396*p**2 - 678*p - 336. Let b(i) = -2*i**4 - i**3 - i**2 + 2*i - 4. Let d(j) = -a(j) + 3*b(j). Solve d(m) = 0 for m.
-6, -1, 18
Suppose 60*q - 30*q - 33*q = 0. Let x(a) be the first derivative of q*a**2 - 5*a + 17 + 5/3*a**3. Let x(d) = 0. Calculate d.
-1, 1
Let x(h) = -35*h**2 + 1967*h - 1944. Let d(i) = 205*i**2 - 11800*i + 11665. Let m(w) = 6*d(w) + 35*x(w). Factor m(z).
5*(z - 390)*(z - 1)
Let y be (4 + -1 + 1)/2. Let j = -492628/15 - -32842. Factor 0*u**3 - 2/15*u**4 + 0*u + j*u**y + 0.
-2*u**2*(u - 1)*(u + 1)/15
Find p such that 172/17*p**2 + 7056/17 - 2/17*p**3 - 3864/17*p = 0.
2, 42
Let r(g) be the second derivative of -g**7/28 - 7*g**6/10 - 24*g**5/5 - 59*g**4/4 - 95*g**3/4 - 21*g**2 - g + 1393. Solve r(y) = 0 for y.
-7, -4, -1
Let h be ((-32)/6)/(28*27/(-648)). Solve 16/7*b - 4/7*b**3 + 8/7*b**2 - h = 0 for b.
-2, 2
Let b(t) be the third derivative of 1/84*t**8 - 3/10*t**5 + 1/35*t**7 + 0 + 0*t + 11/12*t**4 + 2*t**3 - 13/60*t**6 - 214*t**2. Solve b(i) = 0 for i.
-3, -1, -1/2, 1, 2
Factor 35*c**3 + 4*c**5 - 56*c**4 + 13*c**3 - c**5 + 36*c**2 + 77*c**4.
3*c**2*(c + 2)**2*(c + 3)
Let l be (-44)/2*16/(32/(-5)). Suppose 320*s - 187 - 210*s**2 - 60*s**4 + 55*s**4 + l*s**3 + 27 = 0. What is s?
1, 2, 4
Let i(n) be the third derivative of n**5/120 - 421*n**4/3 + 2835856*n**3/3 + 9440*n**2. Factor i(w).
(w - 3368)**2/2
Let v(u) be the second derivative of u**5/50 + 7*u**4/15 - 11*u**3/3 - 968*u**2/5 - 83*u + 8. Factor v(c).
2*(c - 8)*(c + 11)**2/5
Suppose 39*g**2 - 1119*g**4 + 41*g**3 - 5 + 5 - g**5 + 1080*g**4 - 40*g = 0. Calculate g.
-40, -1, 0, 1
Let p(b) be the first derivative of 5*b**3/3 - 27*b**2/2 - 68*b + 95. Let u(o) = o**2 + o. Let s(a) = -p(a) + 3*u(a). Solve s(d) = 0.
-2, 17
Let h = -243551 + 243556. Factor -6*i**4 + i - 5/3*i**h - 22/3*i**3 + 2/3 - 8/3*i**2.
-(i + 1)**4*(5*i - 2)/3
Let g = -822 - -2467/3. Let o(b) be the second derivative of g*b**3 - 5*b - 1/10*b**5 - 3/2*b**2 - 1/30*b**6 + 1/3*b**4 + 0. Find z, given that o(z) = 0.
-3, -1, 1
Factor 102 + 705*q - 5*q**2 - 102 + 15*q.
-5*q*(q - 144)
Let z = 17653/17 - 1037. Let v = z - 22/17. Factor 2/17*d + 4/17*d**2 - 4/17 - v*d**3.
-2*(d - 2)*(d - 1)*(d + 1)/17
Let w(p) = -42*p + 46 + 84*p**2 - 173*p**2 + 11 + 82*p**2. Let b(t) = -20*t**2 - 122*t + 170. Let s(z) = -5*b(z) + 14*w(z). Factor s(u).
2*(u - 2)*(u + 13)
Let p(o) = 7*o**5 - 15*o**4 - 49*o**3 - 72*o**2. Let d(r) = -4*r**5 + 8*r**4 + 23*r**3 + 36*r**2. Let k(u) = 5*d(u) + 3*p(u). Factor k(b).
b**2*(b - 9)*(b + 2)**2
Let o(x) = -x**3 - x**2. Let p(v) = -7*v**3 - 5*v**2 - v + 1. Let h(n) = 6*o(n) - p(n). Let y be h(1). Factor 2*w**2 - 2*w - 1 - 1 + 2*w**3 + y*w**3.
2*(w - 1)*(w + 1)**2
Let o be (50 - (36 + 18))/(-2). Factor 0 + y - 1/3*y**o.
-y*(y - 3)/3
Factor 86*r**2 - 88*r**2 - 53*r - 10658 - 239*r.
-2*(r + 73)**2
Factor -28/3*o - 12*o**3 - 4/3*o**4 - 20*o**2 + 0.
-4*o*(o + 1)**2*(o + 7)/3
Let -6351*k**4 - 558*k - 44196*k**2 - 2919*k**2 + 4203*k - 3505*k**3 + 6286*k**4 = 0. Calculate k.
-27, 0, 1/13
Let m(b) = -4*b**3 - 2*b**2 + 2*b + 2. Let p be m(-1). Let t be (-4 + 9)*p - 5. Determine l, given that 4/3*l**3 + 2/3 - 2/3*l**2 - 1/3*l**t - l + 0*l**4 = 0.
-2, -1, 1
Let d = 80147017/265 - 302442. Let m = -12/53 - d. Suppose m*o**3 - 4/5*o**2 - 2/5 + o = 0. Calculate o.
1, 2
Let t(q) be the third derivative of q**6/120 + q**5/40 - q**4/4 - 21*q**3/2 + 45*q**2 + 2. Let o(f) be the first derivative of t(f). Find u such that o(u) = 0.
-2, 1
Let u(t) be the second derivative of t**7/105 + t**6/15 + t**5/30 - t**4/2 + 23*t**2/2 - 87*t. Let j(v) be the first derivative of u(v). Factor j(x).
2*x*(x - 1)*(x + 2)*(x + 3)
Let r be (-453)/(-705) + 23/(16215/(-30)). Let 0 - 18/5*s + r*s**4 + 21/5*s**3 - 3/5*s**5 - 3/5*s**2 = 0. What is s?
-2, -1, 0, 1, 3
Let n(m) be the second derivative of m**7/70 - 3*m**5/50 + m**3/10 - 141*m - 2. Solve n(i) = 0.
-1, 0, 1
Let p be ((-294)/(-24) - 144/12)/(3/36). Let v(t) be the third derivative of 0 - 15*t**2 - 25/12*t**4 - 1/12*t**5 - 125/6*t**p + 0*t. Let v(y) = 0. Calculate y.
-5
Let d(p) be the second derivative of p**4/42 + p**3 + 90*p**2/7 - 1818*p. Factor d(f).
2*(f + 6)*(f + 15)/7
Suppose 21*u + 5 = 131. Let j(v) be the third derivative of -3/40*v**5 + 0*v + 3/4*v**3 + 1/16*v**4 - 1/80*v**u + v**2 + 0. Solve j(b) = 0.
-3, -1, 1
Let s(j) be the second derivative of -9*j - 30*j**2 - 4/3*j**3 + 1/3*j**4 - 2. Determine q so that s(q) = 0.
-3, 5
Let a = -92383 - -1200981/13. Find l such that a*l**3 + 24/13*l**2 + 128/13 + 96/13*l = 0.
-4
Let l(f) be the second derivative of 0*f**3 - 20*f**5 + 371/15*f**6 - 7/3*f**7 + 0*f**2 + 14/3*f**4 - 9*f - 1. Let l(r) = 0. What is r?
0, 2/7, 7
Suppose -18*h + 17*h + 1138 = 5*c, -3*h + 9 = 0. Let v be ((-42)/(-5))/(22/605). Factor 0*i**3 + 4*i**5 - 4*i**4 - 4*i**3 - c*i**2 + v*i**2.
4*i**2*(i - 1)**2*(i + 1)
Let h = 480 - 488. Let z(w) = -w**2 - 7*w + 10. Let r be z(h). Factor -12/7 - 20/7*m + 1/7*m**4 - m**r + 2/7*m**3.
(m - 3)*(m + 1)*(m + 2)**2/7
Let l be 83 + 4 + 5 + -2. What is c in -21*c**5 - 36*c**2 + 100*c**3 + 55*c**5 - 105*c - 29*c**5 + l - 40*c**4 - 14*c**2 = 0?
-1, 1, 2, 3
Suppose -b = -2*b - 3*x + 14, -5*x = 2*b - 24. Let m be (1/(-3))/((-5)/45). Factor -6*l + b*l + 3*l**3 + m*l + 10*l + 15*l**2 - 3*l**4.
-3*l*(l - 3)*(l + 1)**2
Let x be -10 - 1*(-5 - 1). Let o be (-7)/(56/16) - x. Factor 2/3*w**o - 1/3*w + 0 - 1/3*w**3.
-w*(w - 1)**2/3
Let q be (7/6)/(45 + 21018/(-496)). Let 0 + 1/9*k**4 - 2/3*k + q*k**3 + 1/9*k**2 = 0. Calculate k.
-3, -2, 0, 1
Let t = -317496 - -2539971/8. Let -15/4*n**3 + t*n**4 - 75/