+ 46/3*y - 14*y**2 - 18*y**3 = 0?
-13/9, 1/3
Let o be (-2694)/(-45) - (-12)/90. Factor -28*q - 3*q - 15*q + 9*q - o*q**3 - 5*q**4 - 13*q - 105*q**2.
-5*q*(q + 1)**2*(q + 10)
Let v(i) be the first derivative of 0*i - 9/2*i**3 + 3/4*i**4 - 1/20*i**5 - 3*i**2 - 3. Let u(j) be the second derivative of v(j). Factor u(m).
-3*(m - 3)**2
Suppose -14 - 18 = -8*h. Factor 5*a**4 + 32*a**3 - 15*a**4 - 4*a**2 - 19*a**h + a**4.
-4*a**2*(a - 1)*(7*a - 1)
Let a = 6352391/457240 - 3/65320. Let f = a + -78/7. What is u in -25/4 - f*u**2 - 35/4*u - 1/4*u**3 = 0?
-5, -1
Let n(y) be the second derivative of y**7/2940 - y**6/630 - y**5/105 + 2*y**4/21 + 49*y**3/3 + 25*y. Let h(a) be the second derivative of n(a). Factor h(s).
2*(s - 2)**2*(s + 2)/7
Let a be (-408)/765 + (-15)/(-18) + (15/10)/3. Determine d so that 152/5*d**3 - a*d**4 + 1352*d + 8788/5 - 1872/5*d**2 = 0.
-1, 13
Let m(c) be the third derivative of -2/15*c**3 + 1/40*c**4 + 0 + 1/300*c**5 - 71*c**2 + 0*c. Factor m(s).
(s - 1)*(s + 4)/5
Let z(v) be the first derivative of v**7/5040 + v**6/270 + v**5/80 - v**4/8 + 244*v**3/3 + 206. Let c(n) be the third derivative of z(n). Factor c(x).
(x - 1)*(x + 3)*(x + 6)/6
Let i = -480622/3 - -160208. Factor i*y**2 - 12*y - 38/3.
2*(y - 19)*(y + 1)/3
Let r(g) be the first derivative of -44 - 7/4*g**3 + 1/40*g**5 - 15/8*g - 11/4*g**2 - 3/8*g**4. Factor r(t).
(t - 15)*(t + 1)**3/8
Factor -16*x**4 - 284*x**2 - 25530*x - 12321 - 689*x**2 - 13140*x**2 - 920*x**3.
-(x + 1)**2*(4*x + 111)**2
Let w(q) be the first derivative of 1/5*q**2 - 22/15*q**3 + 32*q + 121/30*q**4 - 3. Let m(x) be the first derivative of w(x). Let m(g) = 0. What is g?
1/11
Let 0*w + 36*w**4 - 112/3*w**3 + 4/3*w**5 + 0*w**2 + 0 = 0. Calculate w.
-28, 0, 1
Let i(q) be the third derivative of -q**5/12 + 35*q**4/3 + 295*q**3/2 + 770*q**2 + 2. Let i(a) = 0. What is a?
-3, 59
Let l be 77/70 - ((-559)/(-65) + -8). Suppose f - l*f**2 - 1/2 = 0. What is f?
1
Let f(k) be the first derivative of -1250/3*k - 132 - 5/3*k**4 + 0*k**3 + 250/3*k**2 + 2/15*k**5. Let f(i) = 0. Calculate i.
-5, 5
Let w(n) = -7*n**2 - 72*n + 268. Let j(x) = 20*x**2 + 225*x - 802. Let g(s) = -6*j(s) - 17*w(s). Factor g(t).
-(t - 2)*(t + 128)
Let k = 93 + -38. Let m = k + -51. What is f in 16/17*f + 8*f**2 + 380/17*f**3 + 0 + 350/17*f**m = 0?
-2/5, -2/7, 0
Let l(n) be the second derivative of 0 + 1/150*n**6 + 22*n + 0*n**2 - 19/30*n**3 - 1/60*n**4 + 19/100*n**5. Determine d, given that l(d) = 0.
-19, -1, 0, 1
Determine o so that -5/6*o**3 + 860/3*o + 830 - 395/6*o**2 = 0.
-83, -2, 6
Suppose -12*k + 27 = -3*k. Solve -2*y**4 - y**4 - 499*y + 496*y + k*y**3 + 3*y**2 = 0 for y.
-1, 0, 1
Factor 31116*r - 31156*r - 721 + 196 + 5*r**2.
5*(r - 15)*(r + 7)
Suppose -78 = -5*i + w, 12 = i + 9*w - 8*w. Let t be ((-10)/i)/(-2 - 16/(-9)). Find v such that -5 - 5/2*v**t - 10*v**2 - 25/2*v = 0.
-2, -1
Factor -57 - 643*x**2 + 32*x**3 + 24954*x - 49865*x + 25579*x.
(x - 19)*(x - 1)*(32*x - 3)
Let y be -2*(-10)/12 - 2202/1468. Suppose 1/6*r**3 - y*r + 1/3 - 1/2*r**2 + 1/6*r**4 = 0. What is r?
-2, -1, 1
Determine t so that 2*t**2 + 0*t**2 + 17888 - 18018 - 128*t = 0.
-1, 65
Factor -2/9*s**3 + 136/9 + 128/9*s + 26/9*s**2.
-2*(s - 17)*(s + 2)**2/9
Let l = 709/973 + -2/139. Let c be (-4)/10*510/408*(-4)/1. Find s such that 6/7*s + l*s**c + 1/7 = 0.
-1, -1/5
Let v(t) be the third derivative of -t**5/360 - 5*t**4/9 - 76*t**3/9 - 1547*t**2. Factor v(z).
-(z + 4)*(z + 76)/6
Let l be 464/(-58) + (-22)/(-2). Let w be (-35)/(21/(-3)) - l. Factor 1/5*r**5 + 4/5*r**w + 0 + 8/5*r**3 + 0*r + r**4.
r**2*(r + 1)*(r + 2)**2/5
Let b be (-25)/(-60) + 8/(-32) - (-1 - 17/6). Factor 0 + 2/11*m**3 - 2/11*m**b - 2/11*m + 2/11*m**2.
-2*m*(m - 1)**2*(m + 1)/11
Let j(f) be the first derivative of -3*f**5/5 - 243*f**4/4 - 1599*f**3 + 5043*f**2/2 + 10069. Suppose j(w) = 0. What is w?
-41, 0, 1
Let o = -610 + 603. Let s be o + 1/9*219. Factor 16/3 - 5/6*w**5 - s*w**3 - 19/3*w**4 - 8/3*w - 56/3*w**2.
-(w + 2)**4*(5*w - 2)/6
Let a be ((-5)/(-2))/((-10)/(-12)). Let g(j) = -j**2 - j. Let b(t) = -120*t**2 - 114*t + 6. Let d(r) = a*g(r) - b(r). Factor d(p).
3*(p + 1)*(39*p - 2)
Let y be 0 + 1536950/1853775 + 2/(-7). Let u = y - -2/963. Factor u + 2/11*v**4 + 24/11*v**2 + 12/11*v**3 + 20/11*v.
2*(v + 1)**3*(v + 3)/11
Let g(a) be the first derivative of a**6/2 + 111*a**5/5 + 207*a**4/4 - 37*a**3 - 105*a**2 - 3352. Let g(y) = 0. Calculate y.
-35, -2, -1, 0, 1
Let l(z) = 7*z**4 - 2*z**3 + 3*z**2 + 36*z + 9. Let x(j) = -j**4 - j**3 + j**2 - 1. Let n(m) = -4*l(m) - 36*x(m). Let n(h) = 0. What is h?
-6, -3/2, 0, 2
Let d(v) be the third derivative of 2/15*v**4 + 0*v - 2/15*v**5 + 3/50*v**6 - 82*v**2 + 0*v**3 + 1/840*v**8 + 0 - 1/75*v**7. Factor d(s).
2*s*(s - 2)**3*(s - 1)/5
Let i(k) be the third derivative of -2*k**7/105 - k**6/5 + 49*k**5/15 - 11*k**4 + 13*k**2 + 7. Factor i(f).
-4*f*(f - 3)*(f - 2)*(f + 11)
Let p(x) be the second derivative of 2*x - 99 + 5/48*x**4 + 5/2*x**2 - 25/24*x**3. Find i such that p(i) = 0.
1, 4
Let x(q) be the second derivative of -q**5/50 - 23*q**4/30 + 169*q**3/15 - 29*q**2 - 22*q + 44. Solve x(f) = 0.
-29, 1, 5
Let r(v) = 4*v**4 - 33*v**3 - 7*v**2 + 97*v - 61. Let j(z) = -2*z**4 + 16*z**3 + 4*z**2 - 48*z + 30. Let k(t) = 5*j(t) + 2*r(t). Factor k(y).
-2*(y - 7)*(y - 1)**2*(y + 2)
Let s be (((-14)/1 + 16)/(-1))/(7/(-2)). Factor s*p - 4/7*p**2 + 0 + 1/7*p**4 - 1/7*p**3.
p*(p - 2)*(p - 1)*(p + 2)/7
Let o(x) be the third derivative of x**5/30 + 37*x**4/60 + 4*x**3 + 2*x**2 - 719. Factor o(q).
2*(q + 5)*(5*q + 12)/5
Let z(d) = 28*d**2 - 2992*d - 5992. Let j(o) = 38*o**2 - 3990*o - 7989. Let r(s) = 8*j(s) - 11*z(s). Factor r(n).
-4*(n - 250)*(n + 2)
Let v(b) = -2*b**3 - 3*b**2 + b - 1. Let f be 405/75 + (-2)/5. Suppose 30 = z + f*z. Let n(u) = -u**3 + u - 1. Let k(y) = z*v(y) - 5*n(y). Factor k(j).
-5*j**2*(j + 3)
Suppose -d - 18 = -3*g, -g + d = 2*d - 2. Let r(w) be the second derivative of 5/28*w**4 - 27/14*w**2 - 5*w + 3/14*w**3 + 0 + 3/140*w**g. Factor r(z).
3*(z - 1)*(z + 3)**2/7
Find i, given that -18*i - 11*i - 40*i**2 - i**4 - 9180*i**3 + 9209*i**3 + 13*i**2 + 28 = 0.
-1, 1, 28
Let m(q) be the third derivative of -1/784*q**8 + 9/280*q**6 + 11/140*q**5 + 1/14*q**4 + 63*q**2 + 0 + 0*q + 1/490*q**7 + 0*q**3. Find h, given that m(h) = 0.
-1, 0, 4
Let f = 29 + -33. Let m be 4/(-2) + (0 - f). Factor -v**2 + 100 + 0*v**m + v**2 + 4*v**2 - 40*v.
4*(v - 5)**2
Let t(l) = l + 23. Let k be t(-20). Find v, given that 6*v**2 + 2*v**k - 16*v - 4*v**4 - 3*v + 19*v = 0.
-1, 0, 3/2
Let a be (-384)/(-144) - (-52)/(-39). Let m(w) be the second derivative of a*w**3 - 11/12*w**4 - 4*w + 4 + 2*w**2 + 3/20*w**5. What is o in m(o) = 0?
-1/3, 2
Let w be ((-4)/(-4) - 6923)*2/(-28). Let g = w + -494. Suppose 8/7*p**3 + 1/7 - 6/7*p**2 + 0*p - g*p**4 = 0. Calculate p.
-1/3, 1
Let a(y) be the first derivative of -3*y**5/5 + 27*y**4/2 - 81*y**3 + 168*y**2 - 144*y + 3115. Find j, given that a(j) = 0.
1, 4, 12
Suppose -5*u - 3*b = 109 - 761, -4*u + 5*b + 492 = 0. Factor 91 + 32*x - u*x - x**3 + 30*x**2 - 2*x**3 + 5.
-3*(x - 4)**2*(x - 2)
Let s be 5 + (-23)/(253/22). Let d(j) be the second derivative of 0 - j**3 - 12/5*j**5 + 0*j**2 - 7/10*j**6 + s*j - 11/4*j**4. Factor d(f).
-3*f*(f + 1)**2*(7*f + 2)
Let m = -351 - -435. Let a be 3/(-7) - (-60)/m. Suppose -a*j**2 + 0 + 10/7*j = 0. Calculate j.
0, 5
Let m(t) be the second derivative of -3*t**5/4 - 445*t**4/12 + 575*t**3/3 + 480*t**2 + 3*t + 936. Factor m(r).
-5*(r - 3)*(r + 32)*(3*r + 2)
Let q be 126*-6*(-9)/(-54). Let s = 886/7 + q. What is l in 0 + 0*l**2 + 0*l + s*l**4 - 12/7*l**3 = 0?
0, 3
Factor 0 + 4*v**2 + 0*v + 54/7*v**3 - 2/7*v**5 + 24/7*v**4.
-2*v**2*(v - 14)*(v + 1)**2/7
Let y(f) be the second derivative of -f**4/6 - 1109*f**3/3 - 1108*f**2 + 9631*f. Factor y(i).
-2*(i + 1)*(i + 1108)
Let d = -1351 + 1351. Let y(s) be the third derivative of 1/300*s**5 + d*s + 0 - 7*s**2 + 0*s**4 - 1/30*s**3. Factor y(p).
(p - 1)*(p + 1)/5
Let y be (-56)/(-35) - (1 - (-28)/(-20)). Let h = 44 - 22. Factor -3*u**3 + 22 + y*u**2 + u**5 - h.
u**2*(u - 1)**2*(u + 2)
Let h(n) be the second derivative of -n**4/12 - 26*n**3 - 154*n**2 + 7167*n. Factor h(f).
-(f + 2)*(f + 154)
Factor 29040/7 - 4*p**2 - 2/7*p**3 + 1672/7*p.
-2*(p - 30)*(p + 22)**2/7
Let x(k) = k -