 290*r + 26. Let k be d(12). Let o(j) be the second derivative of -25/6*j**3 + 5/12*j**4 + 15*j**k + 0 + 48*j. Factor o(z).
5*(z - 3)*(z - 2)
Let l(b) be the third derivative of -b**5/20 + 34*b**4 - 9248*b**3 + 6*b**2 + 2. Factor l(i).
-3*(i - 136)**2
Let g(u) be the first derivative of -19*u**4/8 - u**3/12 + 19*u**2 + u - 2519. Determine k so that g(k) = 0.
-2, -1/38, 2
Let n(g) be the first derivative of 76*g**3/3 - 5362*g**2 + 1128*g - 713. Factor n(j).
4*(j - 141)*(19*j - 2)
Let g(q) be the third derivative of 2*q**7/315 - q**6/8 + 29*q**5/30 - 71*q**4/18 + 28*q**3/3 + 3659*q**2. Solve g(x) = 0 for x.
2, 21/4
Let z be ((-22)/(-9))/11*(516/24 - 14). Suppose 1/3*h**2 + z*h + 0 = 0. Calculate h.
-5, 0
Let x = -225238 + 225240. Suppose -6 - 519/4*j**x - 537/4*j**3 - 33/4*j**5 - 237/4*j**4 - 105/2*j = 0. Calculate j.
-4, -1, -2/11
Let z(r) be the second derivative of -14/9*r**3 - 1/3*r**5 + 0 + r**4 - 32*r + 2/45*r**6 + 4/3*r**2. Factor z(n).
4*(n - 2)*(n - 1)**3/3
Suppose 4*c + 3*n = -354, 0*c + 3*n - 168 = 2*c. Let f = -347/4 - c. Solve 2*w + 5/4*w**2 + f*w**3 + 1 = 0.
-2, -1
Factor -136/7*v - 4/7*v**2 - 372/7.
-4*(v + 3)*(v + 31)/7
Let g(m) be the first derivative of -m**5/20 - m**4/4 + 4*m**3 - 90*m**2 - 108. Let j(o) be the second derivative of g(o). Find n, given that j(n) = 0.
-4, 2
Suppose 2 = 10*y + 2. Let l(t) = 3*t + 3. Let p be l(y). Find c such that p*c**3 + 30*c**2 - 25*c**2 - 14*c**2 - 12*c = 0.
-1, 0, 4
Let o(q) be the first derivative of 3*q**6/40 - q**5/20 - q**4/4 - 29*q**2 + 18. Let l(i) be the second derivative of o(i). Let l(u) = 0. What is u?
-2/3, 0, 1
Let i be 79/11 + 16/(-88). Let g(h) = -24*h**3 + 51*h**2 - 278*h + 518. Let d(o) = 21*o**3 - 51*o**2 + 279*o - 519. Let q(u) = i*d(u) + 6*g(u). Factor q(x).
3*(x - 7)*(x - 5)**2
Let r(p) be the second derivative of p**5/45 - 71*p**4/27 + 2720*p**3/27 - 2312*p**2/3 - 316*p + 1. Suppose r(t) = 0. What is t?
3, 34
Suppose -400 - 1/2*n**3 + 19*n**2 - 160*n = 0. Calculate n.
-2, 20
Let w(s) be the second derivative of -s**7/42 - 29*s**6/210 - 9*s**5/70 + 13*s**4/42 + 25*s**3/42 + 3*s**2/14 - 525*s - 2. Let w(q) = 0. Calculate q.
-3, -1, -1/7, 1
Suppose -13 = -7*q + 134. Factor 16*s - 2*s**4 + 0*s**4 - 3*s**4 + 10*s**3 + 10*s**2 - 5 - 5*s**5 - q*s.
-5*(s - 1)**2*(s + 1)**3
Let t(c) = c**3 + 3*c**2 - 30*c - 107. Let b be t(-4). Let i be (2/(-10))/(9*b/45). Let 1/3*q + 1/3 + i*q**4 - 2/3*q**3 + 1/3*q**5 - 2/3*q**2 = 0. What is q?
-1, 1
Let n = 25616/5 - 5123. Let k(l) be the second derivative of -n*l**5 + 0*l**2 + 0*l**4 - 21*l + 0 + 0*l**3. Factor k(m).
-4*m**3
Factor 528*u + 872*u**2 + 392*u**3 + 24*u**4 - 128 - 11*u**5 - 322*u**2 + 346*u**2.
-(u - 8)*(u + 2)**3*(11*u - 2)
Let q(t) be the third derivative of t**6/3600 - t**5/400 - 34*t**3/3 + t**2 - 47. Let k(o) be the first derivative of q(o). Factor k(z).
z*(z - 3)/10
Let q(y) = -6*y**5 + 10*y**4 - 2*y**3 - 2*y**2 + 20. Let a(r) = 2*r**5 - 2*r**4 - 5. Let n(w) = -4*a(w) - q(w). Suppose n(o) = 0. Calculate o.
-1, 0, 1
Let 48/5*c + 1/5*c**5 - 9/5*c**4 - 169/5*c**3 + 532/5 - 403/5*c**2 = 0. Calculate c.
-7, -2, 1, 19
Factor 0 + 0*b + 76/5*b**2 + 23/5*b**3 + 1/5*b**4.
b**2*(b + 4)*(b + 19)/5
Let x(c) be the third derivative of c**7/315 - 317*c**6/720 + 79*c**5/360 - c**2 - 1529*c. Factor x(v).
v**2*(v - 79)*(4*v - 1)/6
Let y(i) be the second derivative of -i**5/80 + 3*i**4/4 + 295*i**3/24 + 129*i**2/4 - 3144*i. Factor y(x).
-(x - 43)*(x + 1)*(x + 6)/4
Let c(h) be the second derivative of -h + 1/300*h**5 + 0*h**3 + 0*h**4 + 0 + 5*h**2. Let o(t) be the first derivative of c(t). Factor o(z).
z**2/5
Let p(j) = -17*j**2 + 2543*j - 541903. Let h(d) = 12*d**2 - 1695*d + 361270. Let q(v) = -7*h(v) - 5*p(v). Factor q(y).
(y - 425)**2
Let p(l) be the third derivative of 2299*l**6/80 - 2387*l**5/120 + 23*l**4/6 + l**3/3 - 18*l**2 + 9. Factor p(c).
(11*c - 2)**2*(57*c + 1)/2
Let h = 362369 + -362366. Solve -42/11*p**5 + 40/11*p**4 - 40/11*p**2 + 8/11*p + 34/11*p**h + 0 = 0 for p.
-1, 0, 2/7, 2/3, 1
Let g(i) be the first derivative of -17*i**4/6 + 8*i**3 - 4*i**2/3 + 33. Suppose g(h) = 0. Calculate h.
0, 2/17, 2
Solve -172*s**2 - 24*s**2 - 40 - 254*s + 76*s**4 + 42*s + 19*s**3 + 19*s**3 - 16*s**5 + 30*s**3 = 0 for s.
-1, -1/4, 2, 5
Let u(c) be the third derivative of -c**7/70 + 39*c**6/40 - 399*c**5/20 + 361*c**4/8 - 1297*c**2. Find j such that u(j) = 0.
0, 1, 19
Suppose -2 + 17 = 3*b + h, 3*h = 5*b - 25. Suppose -8 = b*w - 4*p, 5*w - 10*w + p = 2. Find a such that 5/2*a**2 + 0*a**3 + 0*a + w - 5/2*a**4 = 0.
-1, 0, 1
Factor 18*x**2 + 28/5 + 2/5*x**4 + 34/5*x**3 + 86/5*x.
2*(x + 1)**3*(x + 14)/5
Suppose 10*h = 7*h + 9. Suppose -h*b - 6 = -0*j - 3*j, 0 = -5*b. What is t in -53*t**j - 52*t**2 - 15*t**2 + 63*t**3 - 32 + 37*t**3 - 144*t = 0?
-2/5, 2
Factor -213/2*t**2 - 1/4*t**3 - 212*t + 0.
-t*(t + 2)*(t + 424)/4
Suppose 0 = -31*w - 2*y + 151, w + 4*y + 96 = 93. Factor -2/5*r**4 + 2/5*r**w + 2*r - 12/5*r**3 + 6/5 - 4/5*r**2.
2*(r - 3)*(r - 1)*(r + 1)**3/5
Suppose 0 = 2*z - 22 + 14. Factor 3*a**4 + 3801*a**2 + a**z - 3805*a**2.
4*a**2*(a - 1)*(a + 1)
Factor -4*p**3 + 104 + 466*p**2 + 60*p - 1449*p**2 + 473*p**2 + 462*p**2.
-4*(p - 2)*(p + 1)*(p + 13)
Let n(o) be the second derivative of -5*o**4/12 + 25*o**3 - 1125*o**2/2 - 1037*o. Let n(a) = 0. Calculate a.
15
Suppose 2*a + 58 = 2*h - 2*a, 137 = 5*h - 2*a. Let 20*z**3 - 31*z**2 + 10*z**4 + 18*z**2 - h*z**2 - 5*z**5 = 0. What is z?
-2, 0, 2
Let b be (22/(-30) - 4/(-10))/(1*30/(-45)). Determine n so that 392 - 28*n + b*n**2 = 0.
28
Find v, given that 211*v**5 + 108*v**2 - 27*v**4 - 108*v**5 + 0*v**4 - 12*v**3 - 100*v**5 = 0.
-2, 0, 2, 9
Suppose 6 = 463*p - 461*p. Let y(x) be the first derivative of -2/27*x**p - 2 + 1/9*x**2 + 0*x - 1/18*x**4 + 2/45*x**5. Determine q so that y(q) = 0.
-1, 0, 1
Let c be 1/4 + (-13)/(208/3012). Let i = c - -190. Determine a so that 0 + 20*a**i - 35/3*a**3 + 20/3*a = 0.
-2/7, 0, 2
Let c(x) be the first derivative of -245*x**6/6 - 1694*x**5 - 69705*x**4/4 - 184780*x**3/3 - 44650*x**2 - 12000*x + 964. Find h, given that c(h) = 0.
-24, -5, -2/7
Let r(l) be the third derivative of 3/70*l**6 + 1/14*l**5 + 0*l**3 + 0*l + 1/784*l**8 + 0 + 23*l**2 + 3/56*l**4 + 3/245*l**7. Factor r(f).
3*f*(f + 1)**3*(f + 3)/7
Let p be -2 - ((-2 + 1)/1 + 1). Let a be (-3 + p)*((-3)/(-5) - 1). Let -2 + 50*m**2 - 59*m**2 + 22*m - 61*m**a + 50*m**3 = 0. What is m?
1/5, 1
Suppose -31*s = 15*s + 92. Let c be s/((-20)/86) + -8. Factor 0 - 3/5*l**3 + 0*l**2 + c*l.
-3*l*(l - 1)*(l + 1)/5
Let d(f) be the third derivative of -f**6/900 - 13*f**5/150 - 169*f**4/60 - 2197*f**3/45 + 1347*f**2. Solve d(r) = 0 for r.
-13
Let s(m) be the second derivative of m**6/15 + 13*m**5/5 + 49*m**4/6 + 8*m**3 - 62*m. Solve s(o) = 0 for o.
-24, -1, 0
Let s = 167 + -163. Factor -9*l**3 - 3*l**4 - 5*l**5 + 3*l**s - 5*l + 19*l**3.
-5*l*(l - 1)**2*(l + 1)**2
Let z be (-1)/7 - (-2574)/8316. Factor z*s**4 + 1/6*s**5 - 1/6*s**2 - 1/6*s**3 + 0*s + 0.
s**2*(s - 1)*(s + 1)**2/6
Let n = 41 - 26. Solve n*t - 64*t**2 + 131*t + 14*t - 100 = 0.
5/4
Suppose -5 = -s, 2*s = -c + 6*c. Suppose -12 = -r - 4*l + 8, 5*r + c*l = 28. Determine x so that 30*x**3 + 20 + x**4 + 51*x + 4*x**r + 65*x**2 + 9*x = 0.
-2, -1
Factor -557/7*g + 278/7 - 1/7*g**3 + 40*g**2.
-(g - 278)*(g - 1)**2/7
Let w be (-6)/15 + 9*578/12930. Let m = 883/9051 - w. Suppose m*r**4 - 8/21*r**2 + 4/21*r**3 + 2/7 - 4/21*r = 0. What is r?
-3, -1, 1
Let j(y) be the second derivative of 7*y**4/120 + 209*y**3/60 - 3*y**2/2 - 3163*y. Factor j(i).
(i + 30)*(7*i - 1)/10
Let k(w) be the second derivative of 2*w**4/3 - w**3/6 + w**2/2 - w - 18. Let q(r) = -2*r**2 + r + 1. Let p(n) = 2*k(n) + 10*q(n). Solve p(o) = 0.
-1, 3
Suppose -481*s + 254 = -990 - 199. Factor 6*x**2 + 3/8*x**4 + 0 - 9/2*x - 21/8*x**s.
3*x*(x - 3)*(x - 2)**2/8
Let 1368 + 355*y - 104*y**3 - 1051*y - 8*y**4 - 188*y**2 + 69*y**2 - 443*y**2 + 2*y**4 = 0. Calculate y.
-19/3, -6, 1
Let t(o) be the first derivative of -o**4/2 + 26*o**3/3 - 19*o**2 - 66*o + 700. Factor t(m).
-2*(m - 11)*(m - 3)*(m + 1)
Let o(k) be the second derivative of 0 - 1/8*k**4 - 3/10*k**5 - 17*k + 1/40*k**6 + 3*k**3 + 13/2*k**2. Let u(r) be the first derivative of o(r). Factor u(s).
3*(s - 6)*(s - 1)*(s + 1)
Let g(f) be the first derivative of -3*