3*n + 5. Factor s(c).
-(c - 29)*(c - 2)*(c - 1)/5
Let j(x) be the first derivative of 1/16*x**4 + 0*x + 11*x**2 + 0*x**3 - 5 + 1/120*x**5. Let u(k) be the second derivative of j(k). Factor u(i).
i*(i + 3)/2
Let t(u) be the second derivative of -u**6/105 - 9*u**5/70 - 25*u**4/42 - 9*u**3/7 - 10*u**2/7 + 11*u - 10. Let t(b) = 0. What is b?
-5, -2, -1
Suppose 2*p - 74 = -4*l, -4*p + 3*l = -8*p + 123. Let h = 31 - p. Determine s so that 10*s**3 + 17*s**3 + 2*s**2 - 2*s**h - 25*s**3 - 2*s**5 = 0.
-1, 0, 1
Let o be (-3 + 9)*1*-4. Let l be (2/o)/((-51)/765). Factor 1/8 + 33/8*s**2 + 2*s**4 + l*s + 5*s**3.
(s + 1)**2*(4*s + 1)**2/8
Let g(w) = 5543*w + 22174. Let d be g(-4). Factor -4/5 + 0*a + 1/5*a**d.
(a - 2)*(a + 2)/5
Factor -90 - 14828*q + 29670*q - 14797*q - 5*q**2.
-5*(q - 6)*(q - 3)
Let k(q) = -q**2 + 6*q - 13. Let c(z) = -z**3 + 21*z**2 + 21*z + 13. Let a be c(22). Let v(p) = -4*p**2 + 23*p - 51. Let u(h) = a*k(h) + 2*v(h). Factor u(f).
(f - 5)*(f - 3)
Suppose 2*q + 2*u = 0, 0*u = -2*u - u. Let w(n) be the second derivative of -1/3*n**4 + 0*n**3 + q + 11*n + 0*n**2 - 1/5*n**5. Let w(j) = 0. What is j?
-1, 0
Suppose -7*m**2 + 31*m + 125 + 2*m**2 - 21*m - 61*m - 69*m = 0. Calculate m.
-25, 1
Suppose 2858 - 2888 = -5*s. Suppose -2*w + 2*x = -s, 3*x - 11 = -3*w + w. Factor 1/9*n**5 + 1/9*n + 0*n**2 - 2/9*n**3 + 0*n**w + 0.
n*(n - 1)**2*(n + 1)**2/9
Suppose 3*r = -o + 690, -14*r - 702 = -17*r + 3*o. Let t = r - 226. Suppose -102*m**3 - 96*m - 24 - 9/2*m**t - 144*m**2 - 69/2*m**4 = 0. Calculate m.
-2, -1, -2/3
Let o be (-2)/(-10) + 3/(-4 - (24 - 13)). Let i(b) be the second derivative of -36*b - 50/3*b**3 + 5/12*b**4 + 250*b**2 + o. Factor i(l).
5*(l - 10)**2
Let i = 4 - 0. Let x(u) = 3*u + 21. Let n be x(-6). Find z such that -4*z + 6*z**3 - n*z**5 + 2*z**5 + 0*z**3 + 2*z**i - 2*z**2 - z**5 = 0.
-1, 0, 1, 2
Let y(c) = -50*c**2 + 6 - 102 - 4 + 59*c**3 - 74*c**3 + 225*c. Let z(i) = 2*i**3 + 7*i**2 - 32*i + 14. Let g(q) = 3*y(q) + 20*z(q). Factor g(l).
-5*(l - 1)**2*(l + 4)
Let q(u) be the first derivative of -u**6/600 + u**5/50 - u**4/24 - 67*u**2 - 3. Let i(p) be the second derivative of q(p). Factor i(r).
-r*(r - 5)*(r - 1)/5
Suppose 9*c - 14 = 4. Let -8*f**c - 119*f - 3*f**3 - 8 + 44 + f**3 + 125*f = 0. What is f?
-3, 2
Suppose 0 = 3*j - 3*c, 3*c = -5*j - 0 + 16. Solve -8*v**5 - 48*v + 8*v**5 - 120*v**j - 4*v**5 - 99*v**3 - 30*v**4 + v**5 = 0.
-4, -1, 0
Suppose -118*z + 171*z = 0. Let b(o) be the second derivative of 0*o**4 + z*o**5 + 0*o**2 + 11*o - 1/30*o**6 + 0*o**3 + 0. Factor b(g).
-g**4
Let c be (-8)/(-20) + 1 + -3*39/(-45). Let m(x) be the third derivative of -1/6*x**c - 1/150*x**5 + 0*x + 0 - 5/3*x**3 - 20*x**2. Suppose m(i) = 0. Calculate i.
-5
Let p(t) be the second derivative of -t**6/6 + 5*t**5 - 265*t**4/12 - 425*t**3/3 - 240*t**2 + 248*t - 5. Factor p(m).
-5*(m - 16)*(m - 6)*(m + 1)**2
Suppose -5*v + g = -12, 2*v - 3*v - 12 = -5*g. Suppose 5*a - 4*p - 145 = 0, 9*p - 110 = -5*a + 6*p. Factor -1/3*f**v - a*f - 5*f**2 - 125/3.
-(f + 5)**3/3
Let h(m) = m**3 + 18*m**2 - 117*m - 43. Let k be h(-23). Factor 264 - 264 + 46*y**2 + 2*y**k.
2*y**2*(y + 23)
Let k = -292 - -376. Let r be (-20)/(-14) - (-48)/k. Suppose 6/7 + 9/7*o + 3/7*o**r = 0. Calculate o.
-2, -1
Let q(h) be the second derivative of h**4/30 - 2*h**3/15 + 7364*h. What is j in q(j) = 0?
0, 2
Let f(p) be the third derivative of -1/180*p**5 + 0*p**3 + 0*p + 10*p**2 - 1/180*p**6 - 2 + 0*p**4 - 1/630*p**7. Factor f(r).
-r**2*(r + 1)**2/3
Solve -80*t**4 - 32*t**5 - 9*t**3 + 33*t - 13*t**3 - 26*t - 9*t - 20*t**2 - 44*t**3 = 0 for t.
-1, -1/4, 0
Let s(g) = g**3 - 2*g**2 - 33*g + 3. Let x(b) = -2*b**3 + 6*b**2 + 62*b - 7. Let t(k) = 14*s(k) + 6*x(k). Factor t(i).
2*i*(i - 5)*(i + 9)
Let z = 163 - -369. Let g be (-6)/(-28)*z/24. Factor -7/4*w**4 - 1 - 4*w - 25/4*w**2 - g*w**3 - 1/4*w**5.
-(w + 1)**3*(w + 2)**2/4
Let -4/7*m**4 + 4/7*m**5 + 12/7 + 20/7*m - 8/7*m**2 - 24/7*m**3 = 0. What is m?
-1, 1, 3
Let r = -83 + 86. Suppose 7051*s**2 + 37*s + 0*s**3 - 7034*s**2 - s**r + 19 = 0. What is s?
-1, 19
Let b be (-12)/(-18) + (-13)/(-3). Solve -3*l**4 + 1576*l**b - l**2 - 4*l**3 - 1575*l**5 + l**2 = 0 for l.
-1, 0, 4
Suppose 0 + 10/13*l**2 + 136/13*l = 0. Calculate l.
-68/5, 0
Suppose -2*a + 5*o = 1, -4*a + 3 = 5*o - 10. Let q(k) be the second derivative of -1/3*k**3 - 2/3*k**4 + 0 + 0*k**a - 16*k - 3/10*k**5. Factor q(d).
-2*d*(d + 1)*(3*d + 1)
Let h(c) be the first derivative of -3*c**4/20 + 33*c**3/5 - 216*c**2/5 + 336*c/5 - 1502. Solve h(p) = 0.
1, 4, 28
Let k = -2/35 + 113/140. Suppose -44*o + 38*o + 44*o - 114 = 0. Suppose -3/4*i**2 + k*i**4 + 0*i + 3/8*i**o - 3/8*i**5 + 0 = 0. What is i?
-1, 0, 1, 2
Let s be -3 - ((-46880)/144 - (-10)/(-90)). What is t in -44/3*t**2 - 21296/9 + s*t + 2/9*t**3 = 0?
22
Let k = 874134 - 7867199/9. Let s be (1/1 - 1)/2. What is l in s - 2/9*l - k*l**2 + 7/9*l**4 + 2/9*l**3 = 0?
-1, -2/7, 0, 1
Suppose 0 - 4*d**4 - 2/3*d**2 + 5/3*d**5 + 0*d + 3*d**3 = 0. Calculate d.
0, 2/5, 1
Let y(q) = -q**3 + 10*q**2 - 6*q - 9. Let z be y(9). Let d(f) be the first derivative of -7 + 51*f + f**3 + 3*f**2 - 3*f + z + 9*f**2. Factor d(i).
3*(i + 4)**2
Let c(s) be the first derivative of 5*s**4/2 - 118*s**3/7 + 10*s**2/7 - 2902. Find x, given that c(x) = 0.
0, 2/35, 5
Let u(s) be the first derivative of -3*s**4 - 356*s**3/3 + 246*s**2 - 124*s + 59. What is y in u(y) = 0?
-31, 1/3, 1
Let t(g) = 2*g**3 + 4*g**2 - 56*g - 124. Let x(b) = -4*b**3 - 7*b**2 + 118*b + 247. Let l(h) = 9*t(h) + 4*x(h). Factor l(y).
2*(y - 4)*(y + 4)**2
Let r(t) be the first derivative of 5*t**7/42 - 3*t**6/8 + t**5/3 + 59*t**2/2 + 327. Let k(m) be the second derivative of r(m). Factor k(l).
5*l**2*(l - 1)*(5*l - 4)
Let m = 190539 + -190535. Solve 16/5 - 8/15*w**5 - 292/15*w**2 - 104/15*w - 14/3*w**m - 74/5*w**3 = 0 for w.
-3, -2, 1/4
Let q(o) be the second derivative of 31 + 8/3*o**2 + 1/36*o**4 + 5/9*o**3 - 2*o. Factor q(w).
(w + 2)*(w + 8)/3
Let r = 1/17230 - -861003/8563310. Let x = r - -3/71. What is j in 2/7*j + 3/7*j**2 - x*j**3 + 0 - 3/7*j**4 - 1/7*j**5 = 0?
-2, -1, 0, 1
Let x(f) = -3*f**3 + 11*f**2 - 5*f - 1. Let t be x(3). Factor -148*p**4 - 60*p**3 - 16*p**5 + 96*p**4 - 4*p + 9*p**2 - 37*p**t.
-4*p*(p + 1)**3*(4*p + 1)
Let o(k) be the third derivative of -1/3*k**4 + 0*k + 0 - 1/90*k**5 - 61*k**2 - 4*k**3. Find c such that o(c) = 0.
-6
Let s(y) be the first derivative of y**8/112 + 4*y**7/105 - y**6/6 - 4*y**5/15 + 45*y**2 + 172. Let t(u) be the second derivative of s(u). Factor t(o).
o**2*(o - 2)*(o + 4)*(3*o + 2)
Let r = -2346 - -2346. Let d(h) be the first derivative of 9 - 6*h**2 + r*h - h**4 + 16/3*h**3. Factor d(f).
-4*f*(f - 3)*(f - 1)
Suppose -21*x - 14 = -22*x. Suppose -2*g = 4*a - x, g = -a - 2 + 6. Solve 5*r - 5 + 0*r**3 - 4*r**2 + 4*r**a - 3*r**3 + 3 = 0 for r.
1, 2
Let s(a) be the first derivative of 8*a**6/27 + 58*a**5/45 + 2*a**4/3 - 2*a**3/3 - 8932. Determine i, given that s(i) = 0.
-3, -1, 0, 3/8
Suppose 0 + 9 = 3*u + 2*t, t = 3*u - 18. Suppose -10*d = -55 + u. Find a such that 2/5*a**3 + 0*a + 0 - 6/5*a**4 + 6/5*a**2 - 2/5*a**d = 0.
-3, -1, 0, 1
Let o(k) = -2*k**2 + 2732*k + 470524. Let z(p) = 5*p**2 - 5462*p - 941036. Let c(u) = 13*o(u) + 6*z(u). Solve c(s) = 0 for s.
-343
Let f(y) be the first derivative of -1/10*y**5 - 3/2*y**2 + 103 + 5/2*y - 2/3*y**3 + 3/4*y**4. Determine k, given that f(k) = 0.
-1, 1, 5
Factor -56*r - 21725*r**2 + 21727*r**2 - 90*r.
2*r*(r - 73)
Let q(h) be the first derivative of -2*h + 37 + 1/3*h**2 + 0*h**4 + 1/2*h**3 - 1/30*h**5. Solve q(u) = 0.
-2, 1, 3
Let r(c) be the first derivative of 1/6*c**3 + 15/2*c**2 + 0*c - 112. Solve r(t) = 0 for t.
-30, 0
Solve -472/3*v**2 + 56644/3 + 2/3*v**3 + 27370/3*v = 0 for v.
-2, 119
Let r(x) be the second derivative of x**5/180 + 14*x**4/27 + 413*x**3/54 - 235*x**2/9 - 1473*x - 2. Factor r(p).
(p - 1)*(p + 10)*(p + 47)/9
Let k(z) be the second derivative of z**7/21 + 6*z**6/5 + 61*z**5/10 + 12*z**4 + 28*z**3/3 - 7*z + 5. Solve k(j) = 0 for j.
-14, -2, -1, 0
Let a(l) be the first derivative of 2*l**5/45 - 31*l**4/18 - 200*l**3/27 - 68*l**2/9 + 1382. Factor a(x).
2*x*(x - 34)*(x + 1)*(x + 2)/9
Let p(y) = 6*y**4 + 18*y**3 + 76*y**2 + 82*y + 33. Let s(r) = r**4 + 3*r**2 + 2*r + 1. Let x(f) = p(f) - 5*s(f). Solve x