m**7 - 3/20*m**5 - 7/40*m**6. Solve t(q) = 0.
-1, 0, 2/5, 1
Factor 779 + 149 - 152 + 9*d**2 + 1948*d + 11*d**2.
4*(d + 97)*(5*d + 2)
Let h(x) be the third derivative of x**5/300 - 17*x**4/120 + 8*x**3/15 - x**2 + 1071. Factor h(c).
(c - 16)*(c - 1)/5
Suppose 3*j - 13*w + 12*w = 21, 4*w = -4*j + 44. Let v(a) be the first derivative of a**4 + j - 4/3*a**3 + 0*a - 4*a**2. Let v(s) = 0. What is s?
-1, 0, 2
Let a(j) be the second derivative of -j**4/84 + 11*j**3/21 - 48*j**2/7 + 8*j + 32. Factor a(t).
-(t - 16)*(t - 6)/7
Let u(f) be the third derivative of f**5/240 - 43*f**4/96 - 56*f**3 + 29*f**2 - 26*f. Determine i, given that u(i) = 0.
-21, 64
Find q such that -3 - 18769/4*q**3 + 410*q - 55759/4*q**2 = 0.
-3, 2/137
Solve -4574/3*y**3 + 26402/3*y**2 - 2/3*y**5 - 202/3*y**4 + 22472/3 - 44096/3*y = 0.
-53, 1, 2
Let o be 1/(2/24)*(-22)/(-66). Find f, given that -2240*f**3 + 2300*f**3 + 18*f**5 - o*f**2 - 76*f**4 + 10*f**5 - 8*f = 0.
-2/7, 0, 1
Determine g, given that 198/5 + 2082/5*g**3 + 27/5*g**5 + 954/5*g**4 - 177*g + 72/5*g**2 = 0.
-33, -2, -1, 1/3
Let x = 783884 + -783884. Suppose -1 = -2*o + 3. Factor 2/7*t**4 - 6/7 + x*t**3 - 12/7*t**o + 16/7*t.
2*(t - 1)**3*(t + 3)/7
Suppose -9*q + 6*q = -6. Let z be (-6)/(-12) - q/(-8). Determine x, given that 5/4*x + 1/2 - 1/4*x**3 + z*x**2 - 1/4*x**4 = 0.
-1, 2
Factor 277/4*u + 0 + 139/2*u**2 + 1/4*u**3.
u*(u + 1)*(u + 277)/4
Let j = 1849/7 + -1825/7. Find r, given that -160/7*r + j - 156/7*r**3 + 18/7*r**4 + 314/7*r**2 = 0.
1/3, 2, 6
Factor 0*o**2 + 335/2*o**4 + 0*o + 0 - 111*o**3 - 3/2*o**5.
-o**3*(o - 111)*(3*o - 2)/2
Let a(t) = -4*t - 32. Let k be a(-31). Factor -83*w**2 - 10*w + k*w**2 + 4*w - 3*w**4.
-3*w*(w - 1)**2*(w + 2)
Let q(z) be the third derivative of 0 + 0*z - 5/2*z**4 + 143/240*z**5 - 1/30*z**6 + 75/16*z**3 - 12*z**2 + 1/1680*z**7. Solve q(r) = 0.
1, 15
Let l(k) be the third derivative of -50*k - 1/6*k**5 - 5/24*k**4 + 7/24*k**6 + 0*k**3 - 2/21*k**7 + 0 + 2*k**2. Suppose l(p) = 0. Calculate p.
-1/4, 0, 1
Let n(u) be the first derivative of 2*u**6/15 + 4*u**5/5 + 4*u**4/3 + 179*u - 14. Let s(t) be the first derivative of n(t). Factor s(z).
4*z**2*(z + 2)**2
Suppose 27*d = 32*d + 120. Let a be (-4)/d*((-162)/(-12))/3. Suppose 0 + 3/4*l + a*l**3 - 3/2*l**2 = 0. What is l?
0, 1
Suppose 1670 = -410*u + 1245*u. Solve -2/3*o - 7/3*o**5 + 5/3*o**4 + 0 - 5/3*o**u + 3*o**3 = 0 for o.
-1, -2/7, 0, 1
Suppose -12*g = 6*g + 36. Let x be 60/(-4752)*-32 - g/(-9). Determine h so that 6/11*h + x*h**2 + 4/11 = 0.
-2, -1
Let z(s) be the second derivative of -s**6/15 + 19*s**5/10 - 65*s**4/6 + 77*s**3/3 - 30*s**2 - 430*s. Suppose z(j) = 0. Calculate j.
1, 2, 15
Let j(q) be the second derivative of q**8/1344 - q**7/210 + q**6/96 - q**5/120 + 121*q**2/2 - q + 21. Let p(i) be the first derivative of j(i). Factor p(o).
o**2*(o - 2)*(o - 1)**2/4
Let p be (-1 + 3 + 2)*31/186*3. Factor 8/3*q**3 + 2/9*q**5 + 2/3*q - 4/3*q**4 - 20/9*q**p + 0.
2*q*(q - 3)*(q - 1)**3/9
Let x be ((3489633/2058)/193 - (0 + 8))/((-4)/(-42)). What is f in 1/4*f**3 + x*f - 9/2*f**2 + 121 = 0?
-4, 11
Let w(g) be the first derivative of -g**4/8 - 287*g**3/6 - 705*g**2/2 + 7279. Factor w(f).
-f*(f + 5)*(f + 282)/2
Let v be (-1)/(17/(-4) - -4). Determine q so that 11*q - 9*q**3 + 18 - 2*q + 5*q**v - 9*q**2 + 12*q - 2*q**4 = 0.
-1, 2, 3
Let z(i) be the second derivative of 48/7*i**2 + 4863/140*i**5 + 121/98*i**7 + 187*i + 65/7*i**4 + 583/35*i**6 - 142/7*i**3 + 0. What is f in z(f) = 0?
-8, -1, 2/11
Let i be (3 + -2)*-1*7. Let r be ((-2)/7)/(1/i). Find p such that -5 - 5*p**r + 5 = 0.
0
Let b(m) be the first derivative of -5*m**7/168 - m**6/24 + m**5/12 - 31*m**3/3 - 77. Let p(t) be the third derivative of b(t). Find d such that p(d) = 0.
-1, 0, 2/5
Let t(q) be the first derivative of q**8/112 - 9*q**7/70 + 3*q**6/5 - q**5 + 49*q**2/2 - 2*q - 128. Let i(z) be the second derivative of t(z). Factor i(d).
3*d**2*(d - 5)*(d - 2)**2
Let h(a) be the second derivative of 4*a**3 - 3*a + 3 + 14*a**2 - 1/3*a**4. Solve h(n) = 0.
-1, 7
Let h(f) be the second derivative of 16/3*f**4 + 8/3*f**3 + 32*f + f**5 + 0 + 0*f**2 - 14/15*f**6. Factor h(b).
-4*b*(b - 2)*(b + 1)*(7*b + 2)
Determine d so that 82/9*d**2 - 22/9*d**3 - 122/9*d + 20/3 + 2/9*d**4 = 0.
1, 2, 3, 5
Let z(x) = -5*x**3 - 305*x**2 - 916*x - 4. Let o(n) = -6*n**3 - 303*n**2 - 924*n - 6. Let i(v) = -2*o(v) + 3*z(v). Factor i(r).
-3*r*(r + 3)*(r + 100)
Let m(p) be the second derivative of -5*p**4/7 + 82*p**3/21 - 52*p**2/7 + 496*p. Find t such that m(t) = 0.
1, 26/15
Let d(r) = -8*r**3 + 128*r**2 - 144*r - 6. Let k(u) = 17*u**3 - 256*u**2 + 291*u + 13. Let c(n) = 13*d(n) + 6*k(n). Factor c(h).
-2*h*(h - 63)*(h - 1)
Let r(p) be the first derivative of -56 + 729*p - 243/4*p**2 - 1/32*p**4 + 9/4*p**3. Factor r(l).
-(l - 18)**3/8
Let n be 9 + (6 - (-1040)/8). Suppose -21*v = 82 - n. Factor 4*y**v + 0*y**2 + 16/3*y**4 - 2/3*y + 0 + 2*y**5.
2*y*(y + 1)**3*(3*y - 1)/3
Suppose 131 = -3*m - 2*w + w, 3*w - 69 = 2*m. Let a be 129/m + 6/(-12) + 4. Let 9/7*x**2 - 3/7*x**4 - 6/7 + a*x - 3/7*x**3 = 0. Calculate x.
-2, -1, 1
Factor -4*t**4 + 4*t**3 + 10*t**2 - 3*t**2 + 10*t**5 - 14*t**5 - 3*t**2.
-4*t**2*(t - 1)*(t + 1)**2
Let r = 111894 + -111891. Factor 0 + 2/7*t**r - 2/7*t + 2/7*t**4 - 2/7*t**2.
2*t*(t - 1)*(t + 1)**2/7
Let z(v) be the first derivative of 22 + 13/9*v**2 - 40/9*v**5 + 34/9*v**3 + 2/9*v + 35/18*v**4. Suppose z(k) = 0. What is k?
-1/4, -1/5, 1
Let r(x) = -21*x**3 + 2329*x**2 + 224*x - 222. Let k be r(111). Let k - 10/9*l - 2/9*l**2 = 0. Calculate l.
-5, 0
Let o = -71854/27 - -2662. Let v(l) be the second derivative of 0 - 4/9*l**2 + o*l**3 - 25/54*l**4 - 14*l. Factor v(a).
-2*(5*a - 2)**2/9
Let r = -494 - -1004. Factor -r + y**2 - 503 + 1005 + 2*y.
(y - 2)*(y + 4)
Let x be 5/25*-8 - (4 + (-119)/21). Let d(r) be the third derivative of 0 - x*r**5 + 0*r**3 + 30*r**2 + 0*r + 1/60*r**6 + 1/12*r**4. Factor d(p).
2*p*(p - 1)**2
Let c(h) be the second derivative of 0 - 1/65*h**6 - 19/130*h**5 - 6/13*h**2 - 253*h - 1/2*h**4 - 29/39*h**3. Find u, given that c(u) = 0.
-3, -2, -1, -1/3
Let g(q) = -2*q**2 - 5664*q - 4044168. Let n(f) = 6*f**2 + 16996*f + 12132504. Let c(i) = -17*g(i) - 6*n(i). Factor c(y).
-2*(y + 1422)**2
Let b = 395/524 + 1439/524. Solve -32 + b*w**2 - 1/4*w**3 - 8*w = 0.
-2, 8
Let w(h) be the third derivative of -h**5/300 + 103*h**4/120 - 402*h**3/5 + 594*h**2 - 4*h + 1. Let w(i) = 0. Calculate i.
36, 67
Suppose 4*g - 180 = 3*l, 302 = 5*g + 3*l + 50. Let k = 52 - g. Factor -7*v - k*v**2 - 3*v - 7*v + 9*v.
-4*v*(v + 2)
Let r(u) be the third derivative of u**7/420 - 49*u**6/20 + 17287*u**5/24 + 49*u**4/4 - 7203*u**3 - 621*u**2. What is z in r(z) = 0?
-1, 1, 294
Let l(s) = s**2 + 13*s - 9. Let k(f) = -13*f - 5*f**2 + 20 - 14 + 4*f**2. Let u(q) = 3*k(q) + 2*l(q). Factor u(y).
-y*(y + 13)
Let p(a) be the second derivative of -a**6/600 + a**5/50 - 3*a**4/40 - 47*a**2/2 - 3*a + 1. Let c(b) be the first derivative of p(b). Find y such that c(y) = 0.
0, 3
Factor 1240/13*u - 192200/13 - 2/13*u**2.
-2*(u - 310)**2/13
Let u(j) = 7*j**2 - 129 - 36 + 303*j - 3 - 36 - 110. Let m(v) = 22*v**2 + 908*v - 944. Let t(k) = -2*m(k) + 7*u(k). Find c, given that t(c) = 0.
-62, 1
Let m(x) be the first derivative of -1/3*x**2 + 0*x + 23 - 5/9*x**3 + 7/12*x**4. Factor m(u).
u*(u - 1)*(7*u + 2)/3
Let g(l) be the second derivative of -2*l**2 + 1/20*l**6 + 13/30*l**5 + 13/12*l**4 + l**3 + 0 + 4*l. Let s(q) be the first derivative of g(q). Factor s(z).
2*(z + 1)*(z + 3)*(3*z + 1)
Let c(k) be the third derivative of 1/39*k**4 + 0 + 2/3*k**3 + 4*k**2 - 1/65*k**5 + 1/260*k**6 + 0*k. Let x(l) be the first derivative of c(l). Factor x(m).
2*(3*m - 2)**2/13
Factor 3/8*v**2 - 33*v + 0.
3*v*(v - 88)/8
Let a(c) be the second derivative of -c**4/42 + 661*c**3/21 + 1326*c**2/7 - 5037*c. Solve a(m) = 0 for m.
-2, 663
Factor -370*m**3 - 18*m**3 - 356*m**2 + 355 + 354*m - 9*m**3 + 43*m**3 + m**4.
(m - 355)*(m - 1)*(m + 1)**2
Let s(o) be the second derivative of -o**6/10 - 129*o**5/20 + 135*o**4/4 - 137*o**3/2 + 69*o**2 + o + 249. Factor s(w).
-3*(w - 1)**3*(w + 46)
Let x(y) be the first derivative of 0*y - 21 - 2/15*y**5 - 1/3*y**4 - 1/60*y**6 + 3/2*y**2 + 0*y**3. Let c(w) be the second derivative of x(w). Solve c(f) = 0.
-2, 0
Let t(