c*y**2 + 2*y**3 - 3*y**3 - 5*y.
-5*y*(y - 1)**2
Factor -409*o**2 + 140 - 3*o**3 + 60*o + 63*o**2 + 8*o**3 + 163*o**2 + 108*o**2.
5*(o - 14)*(o - 2)*(o + 1)
Let g(h) = 10*h**3 - 91*h**2 - 1707*h + 77. Let d(x) = -25*x**3 + 226*x**2 + 4267*x - 187. Let p(v) = 7*d(v) + 17*g(v). Suppose p(t) = 0. Calculate t.
-10, 0, 17
Let c(h) be the third derivative of 0*h + 0 - 5/252*h**8 + 7/45*h**5 + 2/9*h**4 - 35*h**2 - 22/315*h**7 - 1/30*h**6 + 0*h**3. Suppose c(i) = 0. Calculate i.
-1, 0, 4/5
Let r(a) be the second derivative of a**5/10 - 61*a**4/18 - 14*a**3/3 - 4*a - 355. Suppose r(m) = 0. Calculate m.
-2/3, 0, 21
Let n(l) be the second derivative of l**9/15120 - l**8/6720 - l**4/4 - 19*l**2/2 + 10*l. Let b(z) be the third derivative of n(z). Let b(p) = 0. Calculate p.
0, 1
Let p(y) be the third derivative of -3/70*y**7 - 7/20*y**6 + 7/20*y**5 + 0 + 0*y + 0*y**3 + 5/4*y**4 + 32*y**2. Factor p(f).
-3*f*(f - 1)*(f + 5)*(3*f + 2)
Let m(y) be the second derivative of -12*y**2 + 0 + 111*y - 1/6*y**4 + 7/3*y**3. Solve m(a) = 0 for a.
3, 4
Factor 2868/5*s - 3/5*s**2 - 573.
-3*(s - 955)*(s - 1)/5
Let t(n) be the first derivative of 14 - 5/12*n**4 - 4*n + 0*n**2 + 10/3*n**3. Let b(f) be the first derivative of t(f). Solve b(h) = 0 for h.
0, 4
Let w(j) = -19 + 0 - 14 + 0 + 5 - 31*j**2 - 31*j - j**3. Let s be w(-30). Factor -10/3 + 15*c - 35/3*c**s.
-5*(c - 1)*(7*c - 2)/3
Let y = 5/19449 + 38833/252837. Factor -10/13 - 36/13*h**2 - y*h**4 + 32/13*h + 16/13*h**3.
-2*(h - 5)*(h - 1)**3/13
What is h in -871*h**4 - 12*h**5 + 983*h**2 + 2386*h**4 + 2682*h**3 - 389*h - 212*h**2 + 85*h - 80*h = 0?
-1, 0, 1/4, 128
Let v be -22 - 6832/(-305) - (-6)/(-15). Determine m, given that -15/8*m**4 + 15/8*m**2 - 3/8*m**5 - 9/8*m**3 + 3/2*m + v = 0.
-4, -1, 0, 1
Let d(n) be the third derivative of n**8/252 - n**7/210 - n**6/360 + 263*n**2. Determine w, given that d(w) = 0.
-1/4, 0, 1
Let v(x) be the first derivative of 2*x**5/35 - 2*x**4/7 - 104*x**3/21 - 80*x**2/7 - 9666. Factor v(n).
2*n*(n - 10)*(n + 2)*(n + 4)/7
Factor 2/7*s**3 - 146/7*s - 30/7*s**2 - 114/7.
2*(s - 19)*(s + 1)*(s + 3)/7
Let x be 21*(-9)/(-81)*3. Let h be (60/(-735))/(1/(x/(-2))). Determine p so that h*p - 4/7 + 2/7*p**2 = 0.
-2, 1
Let q = 1839047/23 - 79975. Let b = q - -1936/115. Suppose j**2 + 0 + 1/5*j**4 + b*j + 4/5*j**3 = 0. What is j?
-2, -1, 0
Factor -175/2*s + 294 + 1/2*s**4 - 37/2*s**2 + 7/2*s**3.
(s - 4)*(s - 3)*(s + 7)**2/2
Let x be 5340/1424*(-2 + 28/10). Let -2/7*i**4 - 6/7*i**5 + 18/7*i**x + 0 + 4/7*i + 18/7*i**2 = 0. What is i?
-1, -1/3, 0, 2
Suppose -3*w - 5*g = -2*w + 13, w + 2*g = -4. Let 100*r**5 + 3*r**w - 203*r**5 + 101*r**5 - 14*r**4 - 37*r**2 - 34*r**3 - 12*r = 0. What is r?
-3, -2, -1, 0
Let j(h) = -h**2 + 13*h - 2. Let i be j(10). Factor -35*s - 76*s - 4*s**3 + 48 + i*s**2 + 47*s.
-4*(s - 3)*(s - 2)**2
What is i in 55*i**2 + 334*i + 3*i**3 - 4*i + 169*i**2 + 33*i + 64 - 210 = 0?
-73, -2, 1/3
Let h(q) be the third derivative of -q**8/288 - 11*q**7/1008 - q**6/72 + q**5/5 + 37*q**2. Let a(g) be the third derivative of h(g). Factor a(l).
-5*(2*l + 1)*(7*l + 2)
Let i(a) be the second derivative of 20/33*a**3 + 1/231*a**7 + 0 - 197*a - 2/33*a**4 - 3/22*a**5 + 0*a**2 - 2/165*a**6. Suppose i(u) = 0. What is u?
-2, 0, 1, 5
Let r be (-1 - (-25530)/160)/(1/4). Let c = r - 634. Factor 1/4*x - c*x**2 + 1/2.
-(x - 2)*(x + 1)/4
What is o in 26/5*o + 9/5*o**2 + 1/5*o**3 + 24/5 = 0?
-4, -3, -2
Factor -72/13 - 10/13*k + 2/13*k**2.
2*(k - 9)*(k + 4)/13
Factor -1/5*s**2 - 311*s - 1554/5.
-(s + 1)*(s + 1554)/5
Let r(i) = -i**3 + 11*i**2 + 2. Let k be r(11). Suppose 0 = 5*z, -5*z + 18 = p + k*p. Suppose 15*u**4 - p*u**3 + 6*u**2 - 19*u**3 + 4*u**2 = 0. What is u?
0, 2/3, 1
Let j = -4/55831 + 111674/167493. Factor j*c**2 - 2/3*c**4 - 2/3*c + 0 + 2/3*c**3.
-2*c*(c - 1)**2*(c + 1)/3
Let k(t) be the second derivative of 0 + 0*t**2 + 23*t - 1/4*t**4 + t**3 - 3/10*t**5 + 1/10*t**6. Determine z so that k(z) = 0.
-1, 0, 1, 2
Let n(y) = 10*y + 122. Let h be n(-11). Solve 36*i**4 - 36*i**2 - 6*i**3 + h*i + 7*i**3 + 57*i**5 - 34*i**3 - 36*i**5 = 0 for i.
-2, -1, 0, 2/7, 1
Let o(x) be the first derivative of -x**6/30 - 758*x**5/25 - 38405*x**4/4 - 5461596*x**3/5 - 16098264*x**2/5 - 16003008*x/5 - 5865. Factor o(u).
-(u + 1)**2*(u + 252)**3/5
Let j(z) be the third derivative of 20*z**4 + 5*z**2 - 1 + 0*z - 200/3*z**3 + 1/30*z**6 - 7/5*z**5. Factor j(d).
4*(d - 10)**2*(d - 1)
Let b(i) be the third derivative of 0*i**3 + 1/1176*i**8 + 0*i**5 + 39*i**2 + 0*i - 1/140*i**6 + 0 + 2/735*i**7 + 0*i**4. Factor b(u).
2*u**3*(u - 1)*(u + 3)/7
Let b(s) = 14*s - 22*s - 8*s**2 + 12*s**2 + 15. Let d(w) = -w**2 + 2*w - 5. Let l(z) = 4*b(z) + 11*d(z). Solve l(h) = 0 for h.
1
Find b such that 14/3*b + 2/9*b**2 - 620/9 = 0.
-31, 10
Let k(r) be the third derivative of -7/16*r**4 + 0*r + 0 - 129*r**2 - 1/40*r**5 - 5/2*r**3. Determine q, given that k(q) = 0.
-5, -2
Let n(v) = -11*v - 24. Let h be n(-8). Suppose 3*j + 6 = -3117*z + 3120*z, z = 2*j - 4. Factor -h - 1/4*k**2 - z*k.
-(k + 16)**2/4
Let k be (1/18)/(25/64275). Let r = -267/2 + k. Factor r*v**2 + 20/3*v**3 + 8/3*v + 0.
4*v*(v + 1)*(5*v + 2)/3
Let i(g) be the third derivative of 1/630*g**7 - 19 - 5*g**2 - 1/6*g**4 + 0*g - 13/180*g**5 + 0*g**6 + 0*g**3. Factor i(r).
r*(r - 4)*(r + 1)*(r + 3)/3
Let q be (-1)/3 - 12/((-180)/185). Let a be (399/q)/7 - 15/(-60). Factor 21952/11*j - 4802/11 + 2408/11*j**3 + 8/11*j**a - 226/11*j**4 - 11564/11*j**2.
2*(j - 7)**4*(4*j - 1)/11
Let s(g) be the third derivative of g**5/8 + 7*g**4/4 - 3*g**3 + 1102*g**2. Factor s(x).
3*(x + 6)*(5*x - 2)/2
Let o be ((-179000)/3080)/(-25) + -1*(-4)/(-22). Let -o*l**3 + 0 - 24/7*l**2 - 3/7*l**4 - 12/7*l = 0. Calculate l.
-2, -1, 0
Suppose s + 4*c = 0, 0*s - s - 2*c = -6. Let l(q) = 3*q**2 + 6*q + 6. Let v be l(-1). Factor -12*w + s*w**2 + 3*w - 7*w + 4*w**v.
4*w*(w - 1)*(w + 4)
Let f(r) be the first derivative of 17/15*r**5 + 49/3*r + 190/9*r**3 + 161/6*r**2 + 47/6*r**4 - 3 + 1/18*r**6. Let f(s) = 0. Calculate s.
-7, -1
Factor -1/2*k**2 - 6 - 4*k.
-(k + 2)*(k + 6)/2
Let p(n) = 3*n**3 + 433*n**2 - 13*n - 408. Let z(i) = -5*i**3 - 652*i**2 + 21*i + 612. Let m(c) = 8*p(c) + 5*z(c). Suppose m(u) = 0. What is u?
-1, 1, 204
Let p(b) = -2*b**5 - 35*b**4 - 87*b**3 + 438*b**2 + 9*b. Let j(h) = 12*h**5 + 176*h**4 + 436*h**3 - 2192*h**2 - 48*h. Let s(f) = 3*j(f) + 16*p(f). Factor s(z).
4*z**2*(z - 9)*(z - 3)*(z + 4)
Suppose 0 = -18*z - 25*z - 11*z + 1296. Factor -z*i - 3/2*i**3 - 12*i**2 + 0.
-3*i*(i + 4)**2/2
Factor -1/8*y**2 + 0 - 59/8*y.
-y*(y + 59)/8
Suppose -6*d - 2 = -38. Factor 2*c**5 + d*c**2 - 3 + 2*c**4 - 10*c**3 + 0*c**4 + 3.
2*c**2*(c - 1)**2*(c + 3)
Let f(m) be the second derivative of m**8/756 - 2*m**7/315 + 4*m**5/135 + 75*m**2/2 - 45*m. Let l(y) be the first derivative of f(y). Let l(o) = 0. Calculate o.
-1, 0, 2
Let a(q) be the third derivative of -3*q**7/35 + 5*q**6/8 + 21*q**5/4 + 95*q**4/8 + 21*q**3/2 + 1122*q**2. Suppose a(o) = 0. Calculate o.
-3/2, -1, -1/3, 7
Suppose 13 = 4*w - 7. Factor 3*k**w - 65 + 57*k**3 - 127 - 435*k**2 + 39*k**4 + k**5 - k**5 + 528*k.
3*(k - 1)**3*(k + 8)**2
Let n(t) be the third derivative of t**5/420 - t**4/28 - 8*t**3/21 - 3*t**2 + 15*t - 16. Factor n(z).
(z - 8)*(z + 2)/7
Let k(c) be the third derivative of 4 - 5*c**2 + 0*c + 1/420*c**5 - 1/24*c**4 - 4/21*c**3. Factor k(l).
(l - 8)*(l + 1)/7
Let j(u) = -2*u**2 + 177*u + 1136. Let r be j(-6). Let 0 - 1/2*d + 1/4*d**5 + 3/4*d**4 - 3/4*d**r + 1/4*d**3 = 0. What is d?
-2, -1, 0, 1
Let c(q) = 11*q**2 + 56*q - 55. Let v(r) = r**2 - 2*r. Let n(t) = -26*t**2 - 179*t + 165. Let l(o) = n(o) - 6*v(o). Let i(g) = -17*c(g) - 6*l(g). Factor i(b).
5*(b - 1)*(b + 11)
Let o(j) be the first derivative of -j**5/4 - 5*j**4/8 + 905*j**3/12 + 455*j**2/4 - 529. Determine t, given that o(t) = 0.
-14, -1, 0, 13
Let c(k) be the second derivative of k**6/5 + 8*k**5/5 + k**4/2 - 46*k**3/3 + 24*k**2 - 2552*k. Let c(t) = 0. Calculate t.
-4, -3, 2/3, 1
Let n(y) be the second derivative of -47*y**5/100 + 91*y**4/60 + 49*y**3/10 + 9*y**2/10 - 7*y - 28. Factor n(x).
-(x - 3)*(x + 1)*(47*x + 3)/5
Let j(p) be the second derivative of p**5/20 - 25*p**4/3 - 107*p**3/6 + 303*p**2 - 487*p + 1. Factor j(s).
(s - 101)*(s - 2)*(s + 3)
Let z(f) be the third derivat