 derivative of r**5/60 + 937*r**4/4 + 2633907*r**3/2 + 10305*r**2. Suppose x(v) = 0. What is v?
-2811
Solve -105/2*n - 5/4*n**4 + 15/2*n**3 + 65/4*n**2 + 0 = 0.
-3, 0, 2, 7
Let k(q) be the first derivative of 2*q**5/85 - 89*q**4/34 - 184*q**3/17 + 5085. Suppose k(b) = 0. What is b?
-3, 0, 92
Suppose -534*t + 528*t + 174 = 0. Factor 24*b + 3*b**2 - 32*b - 54 + t*b.
3*(b - 2)*(b + 9)
Let i be 43 + -30 + ((-1197)/35)/3. Factor -i*a + 2/5*a**3 - 4/5 - 3/5*a**2 + 1/5*a**4.
(a - 2)*(a + 1)**2*(a + 2)/5
Let l = -122 + 121. Let a be 81/(-90) - l - (-87)/30. Suppose 6/5*t**2 + 4/5*t + 2/5*t**a + 0 = 0. What is t?
-2, -1, 0
Let p(k) be the third derivative of 113*k**2 + 0*k**5 + 2/525*k**7 + 0*k**3 + 0*k + 0*k**4 - 1/30*k**6 + 0. Factor p(s).
4*s**3*(s - 5)/5
Let n(d) be the first derivative of 81/4*d**2 - 1/2*d**3 + 0*d + 5. Factor n(o).
-3*o*(o - 27)/2
Let m = 28 - 23. Determine r, given that -42*r**3 + 5*r**5 + 10*r - 10*r**m + 57*r**3 + 5*r**4 - 25*r**2 = 0.
-2, 0, 1
Let n be 218344/7241 + (-4)/26. Let k(x) be the second derivative of 0 + 3/20*x**6 - 3/4*x**2 + n*x - 1/4*x**4 + 1/28*x**7 + 3/20*x**5 - 3/4*x**3. Factor k(d).
3*(d - 1)*(d + 1)**4/2
Let u(d) be the second derivative of d**5/50 - 11*d**4/15 - d**3/15 + 22*d**2/5 - 12564*d. What is r in u(r) = 0?
-1, 1, 22
Let c(h) be the second derivative of -h**5/120 - h**4/2 + 31*h**2 + 30*h + 2. Let i(x) be the first derivative of c(x). Suppose i(l) = 0. What is l?
-24, 0
Factor 32*g - g**5 + 34 + 14 - 13*g**3 - 7 + 8*g**4 - 22*g**2 - 9.
-(g - 4)**2*(g - 2)*(g + 1)**2
Factor -43/5*r - 48 + 1/5*r**2.
(r - 48)*(r + 5)/5
Let o = 65 + -35. Let c be (147/o + -5)/(1/(-12)). Factor -8/5 - c*d + 2/5*d**2.
2*(d - 4)*(d + 1)/5
Let p = 19430 + -388597/20. Let i(f) be the second derivative of -2*f**3 + 6*f + 0 - p*f**5 - 5/4*f**4 + 0*f**2. Factor i(q).
-3*q*(q + 1)*(q + 4)
Suppose 156/11 - 2/11*k**2 - 14*k = 0. Calculate k.
-78, 1
Let s(i) = 45*i**2 + 7092*i - 906. Let b(c) = -4*c + 14. Let v(t) = 3*b(t) - s(t). Factor v(k).
-3*(k + 158)*(15*k - 2)
Suppose -2/11*h**2 - 952200/11 - 2760/11*h = 0. Calculate h.
-690
Let o(j) be the first derivative of -j**4/28 - 51*j**3/7 - 300*j**2/7 - 596*j/7 - 769. Find m such that o(m) = 0.
-149, -2
Let -31*t**2 - 42 + 45*t**2 - 16*t - 4*t**2 = 0. Calculate t.
-7/5, 3
Factor 116/3*o**2 - 8*o**3 + 0 + 1/3*o**4 - 48*o.
o*(o - 18)*(o - 4)*(o - 2)/3
Let c(z) = 4*z - 56. Let k be c(26). Factor -8 + 6*a**3 - 4*a**4 + 12*a**2 + 17*a**3 - 3*a**3 - k*a**2 + 28*a.
-4*(a - 2)*(a - 1)**3
Let z be -2*7 + (-10)/385*-891. Factor -1/7*s**3 - 80/7*s + 17/7*s**2 + z.
-(s - 8)**2*(s - 1)/7
Let b(g) be the first derivative of g**6/10 - 57*g**5/25 + 48*g**4/5 - 12*g**3 + 620. Solve b(c) = 0 for c.
0, 2, 15
Let k(d) be the second derivative of d**5/4 + 1805*d**4/6 - 5*d**3/6 - 1805*d**2 + 2446*d. Factor k(u).
5*(u - 1)*(u + 1)*(u + 722)
Let s = 225 - -429. Suppose -11*p**2 + s*p - 645*p - 13*p**2 = 0. What is p?
0, 3/8
Let s = 75 - 66. Suppose 0 = -s*t + 14*t - 10. Find v such that -4*v**4 + 12*v**t - 9*v - 8*v + 25*v = 0.
-1, 0, 2
Let o(v) be the third derivative of -v**6/30 + 46*v**5/5 + 139*v**4/6 - 2*v**2 + 1065. Factor o(r).
-4*r*(r - 139)*(r + 1)
Suppose 0 = 43*u - 47*u + 40. Factor -7*y**3 - 36 - 9*y + 23*y**3 - u*y**3 - 21*y + 14*y**2 - 2*y**4.
-2*(y - 3)**2*(y + 1)*(y + 2)
Let v(n) be the second derivative of n**7/21 + 3*n**6/5 - 62*n**5/5 - 440*n**4/3 - 608*n**3 - 1232*n**2 - 811*n. Suppose v(i) = 0. What is i?
-14, -2, 11
Suppose 5*l - 55 = 4*k, -44 + 14 = -5*l - k. Suppose -6*u - 3 = -l*u. Factor 3 + 41*w**2 + 7*w**2 - 9 + 27*w**u + 15*w.
3*(w + 1)**2*(9*w - 2)
Let f(n) be the third derivative of n**6/12 + 759*n**5/5 + 1517*n**4/5 + 728*n**3/3 + 197*n**2 + 7*n - 2. Factor f(u).
2*(u + 910)*(5*u + 2)**2/5
Let p(f) be the second derivative of f**6/15 - f**5/10 - 2*f**4/3 + 4*f**3/3 + 674*f. Factor p(v).
2*v*(v - 2)*(v - 1)*(v + 2)
Let -136/7*x**3 + 936/7 + 6/7*x**4 + 2616/7*x - 622/7*x**2 = 0. Calculate x.
-6, -1/3, 3, 26
Find w such that 5 - 2/3*w**2 + 1/6*w**3 - 11/6*w = 0.
-3, 2, 5
Let m be 33/((-99)/(-4)) - 8/(-12). Let w(q) be the first derivative of 5/12*q**3 + 0*q - 21 + 5/8*q**m. Find x such that w(x) = 0.
-1, 0
Let o = 19862/5 - 79223/20. Find v, given that 0 + 0*v + o*v**2 + 3/4*v**3 = 0.
-15, 0
Let n(h) be the third derivative of h**7/42 - 65*h**6/24 + 1021*h**5/12 + 2035*h**4/8 - 1815*h**3 - 425*h**2. Factor n(o).
5*(o - 33)**2*(o - 1)*(o + 2)
What is j in -63 + 3/4*j**2 - 51/4*j = 0?
-4, 21
Let t be (80 - (-1 - 2)) + -16 + 13. Factor 17 + t*a**2 + 19 + 19 - 4*a**3 - 55 + 84*a.
-4*a*(a - 21)*(a + 1)
Let d(r) = -r**3 - 96*r**2 + 7*r + 675. Let c be d(-96). Let h(o) be the first derivative of 30 - 1/9*o**c - 11/3*o**2 - 121/3*o. Factor h(f).
-(f + 11)**2/3
Let w be ((-10)/30 - (-2)/(-3))/((-69)/621). Let t = -7 + 10. Factor -7*d + w*d**2 + 4*d**t + 22*d**2 - 37*d + 0*d**3 + 9.
(d - 1)*(d + 9)*(4*d - 1)
Let h(s) be the third derivative of -s**8/672 + 139*s**7/420 + 24*s**6/5 + 437*s**5/15 + 293*s**4/3 + 196*s**3 + 2*s**2 - 998. What is z in h(z) = 0?
-2, 147
Let q(w) be the second derivative of w**6/60 - w**5/4 - w**4/8 + 8*w**3/3 - 5*w**2 + 790*w. Determine z so that q(z) = 0.
-2, 1, 10
Let v = 233667 - 1161753/5. Let b = 1318 - v. What is k in 18/5*k - b + 2/5*k**3 - 12/5*k**2 = 0?
1, 4
Let n = 5067 - 5067. Let i(s) be the third derivative of n*s**3 + 0 + 1/280*s**6 + 0*s + 0*s**5 + 1/490*s**7 + 0*s**4 - s**2. Suppose i(o) = 0. Calculate o.
-1, 0
Let i(s) be the first derivative of -s**5/25 - s**4/5 - s**3/3 - s**2/5 + 3231. Let i(a) = 0. Calculate a.
-2, -1, 0
Let t(l) be the first derivative of l**3/8 - 2031*l**2/16 + 507*l/2 + 3271. Factor t(s).
3*(s - 676)*(s - 1)/8
Let z = 689 + -401. Let v be (-101 - -1)*(z/(-28) + 10). Solve -250/7*h**4 + 180/7*h**2 + 54/7 + v*h**3 - 216/7*h = 0.
-1, 3/5
Let q(a) = -35 - 8 - a**2 - 19 + 33*a. Let h be q(31). Solve 0*n**2 + h*n + 12*n + 3*n**2 - 3*n = 0.
-3, 0
Let n(m) be the second derivative of m**6/20 - 3*m**5/10 + 3*m**4/8 - 2*m - 260. Determine s, given that n(s) = 0.
0, 1, 3
Let n = 3338/7267 + 16/7267. Factor 0 - n*f**2 + 4/13*f.
-2*f*(3*f - 2)/13
Let z(j) be the first derivative of -j**5 - 140*j**4 + 195*j**3 + 1120*j**2 - 2260*j - 8519. Suppose z(q) = 0. What is q?
-113, -2, 1, 2
Let u(x) be the third derivative of -1/112*x**8 - 124*x**2 + 0*x**4 + 0*x**3 + 1/70*x**7 + 0*x + 1/40*x**6 + 0 - 1/20*x**5. Factor u(l).
-3*l**2*(l - 1)**2*(l + 1)
Let d(y) = -2*y**3 - 26*y**2 + 20*y - 16. Let n = -178 - -177. Let v(o) = -2*o**2. Let p(i) = n*d(i) + 12*v(i). Factor p(l).
2*(l - 2)*(l - 1)*(l + 4)
What is b in 76/5*b**3 + 0*b + 294/5*b**5 + 434/5*b**4 + 0 - 64/5*b**2 = 0?
-1, -16/21, 0, 2/7
Let o(d) be the first derivative of -d**4/4 + 59*d**3/3 + 31*d**2 - 120*d + 1978. Factor o(u).
-(u - 60)*(u - 1)*(u + 2)
Suppose -625*m - 69 = -624*m - 4*z, 2*m = z - 12. Factor 115/6*v + 5/6*v**5 - 20/3*v**m + 10/3*v**4 - 25/3 - 25/3*v**2.
5*(v - 1)**3*(v + 2)*(v + 5)/6
Let g(p) = -5*p**2 - 88*p + 1799. Let t(a) = -3*a**2 + 2*a - 1. Let r(l) = -2*g(l) + 2*t(l). Determine z so that r(z) = 0.
-60, 15
Let b(s) = -2*s**3 - 164*s**2 + 8*s + 158. Let m(j) = j - 1. Let o(y) = -b(y) + 6*m(y). Factor o(c).
2*(c - 1)*(c + 1)*(c + 82)
Determine g so that -1/4*g**3 - 1183/4 - 351/4*g - 33/4*g**2 = 0.
-13, -7
Let c be (-8)/12*((-216)/(-32) + -7). Let m(b) be the third derivative of c*b**4 + 0 + 2/3*b**3 + 0*b + 17*b**2 + 1/60*b**5. Let m(s) = 0. Calculate s.
-2
Suppose 5*m + 2*z = 36, -31*m - 2*z - 18 = -35*m. Let l be 476/(-2261)*1*(-3)/m. Let -32/19*y - 128/19 - l*y**2 = 0. Calculate y.
-8
Let b(d) be the third derivative of d**2 + 0*d - 6*d**3 - 24/35*d**7 - 397/15*d**5 - 38/5*d**6 + 114 - 19*d**4. Factor b(c).
-4*(c + 3)**2*(6*c + 1)**2
Let c be (3 - 3/2)*(-8)/(-6). Suppose -4*q = -0 - 8. Suppose -2*o**q + 3*o**2 - o + 0*o - c*o**2 = 0. Calculate o.
-1, 0
Let b be ((-2)/13 + 9/(-195))*-5. Factor 8*k**3 - 9*k**3 - 1 + b + 4*k**5 - 3*k**3.
4*k**3*(k - 1)*(k + 1)
Let f(n) be the second derivative of n**4/6 - 428*n**3/3 + 45796*n**2 - 1140*n. Solve f(p) = 0.
214
Let l be -2 - (-2 - 10/13). Suppose -8*p - 3*b = -77, 47 = -3*p + 3*b + 14. Find s, given that -6/13*s**2 + 10/13*s - l*s**3 - 2/13*s**p + 8/13 = 0.
-4, -1, 1
Let u(l) = -3 + 3*l**2 + 3*l**2 - 17*l**2 