) + 38/(-57). Factor -6*h**2 - h**4 - 79*h - 1 - 4*h**3 + 75*h + 0*h**w.
-(h + 1)**4
Suppose -z + 2558 = 2*m + 93, 0 = 3*m + 5*z - 3701. Let w = -1226 + m. Factor 1/2*b**2 + 18 + w*b.
(b + 6)**2/2
Suppose 6*r = r - 750. Let m be (9/2)/(r/(-80)). Factor -m*j**4 + 0 - 3*j**3 - 3/5*j**5 + 0*j - 6/5*j**2.
-3*j**2*(j + 1)**2*(j + 2)/5
Solve 1/4*m**3 + 2*m**2 - 27/2 - 15/4*m = 0 for m.
-9, -2, 3
Let x(w) be the third derivative of -1/240*w**6 + 0 + 0*w - 5/2*w**4 + 7/40*w**5 + 25/3*w**3 - 26*w**2. What is a in x(a) = 0?
1, 10
Suppose -z + 10 = -4*d, -4*d = 5*z - 2 - 0. Factor -4*v**3 - 3*v**4 + 3*v**2 - z*v**4 + v**3 + 2*v**4 + 3*v.
-3*v*(v - 1)*(v + 1)**2
Let l(w) be the second derivative of 3*w**4/2 + 110*w**3/9 + 8*w**2/3 + 721*w. What is q in l(q) = 0?
-4, -2/27
Suppose 5*z = -0*z + 3*c + 31, -5*z = 5*c - 55. Let i be -7 + z + 24/(-40). Determine f, given that 12/5*f**2 - 18/5*f - i*f**3 + 8/5 = 0.
1, 4
Find p, given that 120*p + 2/9*p**2 + 16200 = 0.
-270
Let y(n) be the second derivative of -n**6/60 + n**5/60 + n**4/24 + 46*n**2 - 57*n - 2. Let u(r) be the first derivative of y(r). Suppose u(l) = 0. What is l?
-1/2, 0, 1
Let x(n) be the second derivative of -n**5/110 + 29*n**4/66 - 259*n**3/33 + 735*n**2/11 - 4082*n. Solve x(d) = 0.
7, 15
Suppose 5055 - 5023 = o - 2*i, 3*i = -3*o - 39. Solve -28/13*a**o - 96/13*a**3 + 28/13*a**4 - 2/13*a**5 + 98/13*a + 0 = 0 for a.
-1, 0, 1, 7
Let p(k) be the first derivative of -55*k**4/3 - 878*k**3/9 - 436*k**2/3 + 8*k/3 + 1748. Find v such that p(v) = 0.
-2, 1/110
Let z(g) be the first derivative of -g**9/19656 + g**8/2730 - g**7/1092 + g**6/1170 - 35*g**3/3 + 49. Let c(h) be the third derivative of z(h). Factor c(n).
-2*n**2*(n - 2)*(n - 1)**2/13
Factor 155/2*t**3 + 0*t + 80*t**2 - 5/2*t**4 + 0.
-5*t**2*(t - 32)*(t + 1)/2
Let r be ((-8)/(-14)*6/(-36))/(16/1904*-17). Let 4*o**2 - 2/3*o**3 - 4 + r*o = 0. What is o?
-1, 1, 6
Let k(t) = -4*t**3 - 2*t**2 - t + 1. Let s be k(-1). Solve -2*r**2 + 9*r**2 + 2*r**3 - r**s - 8*r - r**4 + r**2 = 0.
-2, 0, 1, 2
Let j(p) be the second derivative of -p**4/24 + 13*p**3/6 + 2734*p. Factor j(l).
-l*(l - 26)/2
Let t(p) = 3*p**2 + 65*p - 47. Let b be t(-25). Factor 112*c**3 + 263 - b - 7*c**3 - 635*c**2 + 20*c.
5*(c - 6)*(3*c - 1)*(7*c + 2)
Let o(p) be the second derivative of p**6/105 + p**5/70 - 9*p**4/14 - 25*p**3/21 + 50*p**2/7 - 630*p. Let o(w) = 0. What is w?
-5, -2, 1, 5
Let j(y) be the first derivative of 16/9*y - 1/18*y**4 + 2/27*y**3 + 10/9*y**2 - 83. Factor j(p).
-2*(p - 4)*(p + 1)*(p + 2)/9
Let r(s) be the first derivative of 7/18*s**6 + 59 + 0*s**3 - 16/15*s**5 + 0*s**2 + 0*s + 1/3*s**4. Find f, given that r(f) = 0.
0, 2/7, 2
Let s(f) be the second derivative of 1/56*f**7 - 20*f - 1/4*f**3 - 9/80*f**5 + 0*f**2 - 5/16*f**4 + 1/40*f**6 - 1. Factor s(q).
3*q*(q - 2)*(q + 1)**3/4
Factor -63*d**3 - 36*d**2 + 708*d - 1740*d**4 + 1743*d**4 + 731 + 277.
3*(d - 21)*(d - 4)*(d + 2)**2
Let i be ((-153)/(-153))/(2 - 18/12). Suppose 124/3*k + 2/3*k**i + 1922/3 = 0. What is k?
-31
Let r(t) = t**3 + t**2 - 1. Suppose 12*f = 14*f + 4. Let p(z) = -8*z**4 - 17*z**3 + 7*z**2 + 4*z + 7. Let w(s) = f*p(s) - 14*r(s). Determine u so that w(u) = 0.
-2, -1/4, 0, 1
Let v(h) be the first derivative of -h**7/1680 + h**3/3 - 67*h + 266. Let m(d) be the third derivative of v(d). Find r, given that m(r) = 0.
0
Let n(o) = 80*o**3 - 10*o**2 - 120*o + 45. Let i(p) = -125*p**3 + 15*p**2 + 180*p - 68. Let a(s) = -5*i(s) - 8*n(s). Factor a(c).
-5*(c - 2)*(c + 2)*(3*c - 1)
Let g = 37 - -208. Let o = g - 76. Suppose -168*v**5 + o*v**5 + v**3 - 3*v - 3*v**4 + v + 3*v**2 = 0. What is v?
-1, 0, 1, 2
Suppose -2061 = 7*a + 2391. Let q = 4454/7 + a. Factor -q*b**2 + 0 - 2*b.
-2*b*(b + 7)/7
Let y(c) be the second derivative of -c**7/28 + 17*c**6/5 - 117*c**5/8 + 2*c - 1651. What is k in y(k) = 0?
0, 3, 65
Let z = 287 + -281. Factor -z*p**2 + 8*p**4 - 6*p**4 + 12*p - 8*p**3 + 16*p - 6 - 10.
2*(p - 4)*(p - 1)**2*(p + 2)
Let y(f) be the first derivative of -1/15*f**3 - 3969/5*f + 248 + 63/5*f**2. Let y(u) = 0. What is u?
63
Let s = 1155 - 1159. Let h be ((-2)/(2/1))/(14/s). Solve 2/7*q**2 - 2/7*q**3 - h + 2/7*q = 0 for q.
-1, 1
Let h(n) be the first derivative of -1/4*n**4 - 34 + 7*n + 1/2*n**2 - 7/3*n**3. Let h(g) = 0. Calculate g.
-7, -1, 1
Let g(x) = -2*x**4 + x**3 + 2*x**2 - 1. Let u(s) = 18*s**4 - 18*s**3 + 24*s**2 + 8*s - 32. Let w(p) = 10*g(p) + u(p). Solve w(d) = 0 for d.
-7, -1, 1, 3
Let v = 3607 - 10820/3. Let a(q) be the second derivative of 0 - 6*q + 2/45*q**6 + 0*q**2 - 7/30*q**5 - v*q**3 + 4/9*q**4. Find x such that a(x) = 0.
0, 1, 3/2
Let t(m) be the first derivative of -m**6/57 + 14*m**5/95 - 3*m**4/38 - 86*m**3/57 + 28*m**2/19 + 120*m/19 - 2005. Determine r so that t(r) = 0.
-2, -1, 2, 3, 5
Let l = 9001 + -26996/3. Let s(j) be the first derivative of -1/15*j**5 + 1/6*j**4 + 5/3*j - 27 + l*j**2 + 4/3*j**3. What is q in s(q) = 0?
-1, 5
Let k(a) be the third derivative of 0*a**3 - 3*a**2 - 1/90*a**5 + 5/144*a**4 + 2*a - 1/720*a**6 + 0. Factor k(z).
-z*(z - 1)*(z + 5)/6
Let h be (-13)/(-6) + (-175)/250 + 20/(-25). Let l(j) be the first derivative of 5*j**2 - 12*j - h*j**3 - 15. Solve l(i) = 0.
2, 3
Let j(y) = y**2 - 6*y + 1. Let f be j(-5). Let a be (64/f)/(7/(147/6)). Factor -8/5*l + a*l**3 + 0 + 12/5*l**2.
4*l*(l + 1)*(5*l - 2)/5
Let q = -9516 - -9518. Let w(x) be the first derivative of 2/9*x**3 + 0*x**4 - 1/3*x - 1/15*x**5 - 22 + 0*x**q. Determine o, given that w(o) = 0.
-1, 1
Let j be -19 - (-12 + (-175)/25). Suppose 2*o - o = 0. Factor o*n + 0 - 1/3*n**4 + j*n**3 + 1/3*n**2.
-n**2*(n - 1)*(n + 1)/3
Let m(o) = 2*o**3 + 25*o**2 + 23*o + 40. Let z be m(-11). Let k be 4/6*50/z. Factor -k*a + 2/9*a**2 + 0.
2*a*(a - 1)/9
Let x(d) be the third derivative of -17 + 9/160*d**5 + 4*d**2 + 1/8*d**3 + 0*d + 1/560*d**7 - 7/64*d**4 - 1/64*d**6. Let x(i) = 0. What is i?
1, 2
Let a be 8/(-10)*40/(-16). Let u be 3 + (-2 - a) + 5. Solve -23*c**3 - 4 - 27*c - 48*c**2 - 23*c**u + 5*c**4 - 3*c**5 - 2 - 19*c**3 = 0.
-2, -1
Let g be (-105)/(-25) - 47/235. Let i(o) be the second derivative of 0 + 1/45*o**6 + 0*o**3 + 1/20*o**5 - 27*o - 1/126*o**7 + 0*o**g + 0*o**2. Factor i(c).
-c**3*(c - 3)*(c + 1)/3
Let v(w) be the third derivative of -4/3*w**3 + 23/60*w**5 + 3*w - 1/24*w**6 - 2*w**2 - 5/12*w**4 + 0. What is g in v(g) = 0?
-2/5, 1, 4
Let t be (-20)/12*(-2 + -2 + 1). Determine j, given that -7*j**2 + 7*j + 49*j**4 - 42*j**4 - 3*j + t*j**3 - 9*j**2 = 0.
-2, 0, 2/7, 1
Suppose 4*h + 35 = 59. Let n be 76*(1 - 3/h). Solve -4*m**4 - 3 - 18*m**2 - 13 + 4*m**5 + 16*m + n*m**2 - 20*m**3 = 0 for m.
-2, -1, 1, 2
Let j = 2689/6 - 887/2. Factor -2/3*i**3 + j + 26/3*i + 10/3*i**2.
-2*(i - 7)*(i + 1)**2/3
Let x = 1239664 - 1239661. Factor -1/7*k**4 - 9/7*k**2 - 4/7*k + 6/7*k**x + 12/7.
-(k - 3)*(k - 2)**2*(k + 1)/7
Factor -19/7*a**3 + 923/7*a + 1690/7 - 3/7*a**2 + 1/7*a**4.
(a - 13)**2*(a + 2)*(a + 5)/7
Let q(u) be the second derivative of u**5/110 - 5*u**4/33 + 3*u**3/11 - 578*u. Factor q(h).
2*h*(h - 9)*(h - 1)/11
Suppose 0*p + 2*p = 6. Let a(d) be the first derivative of -15*d**2 - p*d - 9*d**3 + 1 + 0*d**2 + 4 + 6. Factor a(q).
-3*(q + 1)*(9*q + 1)
Let i(y) be the third derivative of -1/480*y**5 + 2*y - 35/48*y**3 + 87*y**2 + 3/16*y**4 + 0. Factor i(x).
-(x - 35)*(x - 1)/8
Let i(d) be the third derivative of d**7/350 - d**6/25 + 19*d**5/100 - 3*d**4/10 + 6*d**2 + 124*d. Factor i(c).
3*c*(c - 4)*(c - 3)*(c - 1)/5
Let d = 29461 - 29461. What is f in 2/3*f**5 + 0 + 0*f**4 + d*f - 2*f**3 + 4/3*f**2 = 0?
-2, 0, 1
Let i(f) be the second derivative of -5*f**4/12 - 155*f**3/3 - 885*f**2/2 + 852*f. Factor i(x).
-5*(x + 3)*(x + 59)
Let i(w) be the third derivative of -w**5/240 - 97*w**4/16 + 583*w**3/24 + 14*w**2 - 4*w. Determine j so that i(j) = 0.
-583, 1
Let u be (-874)/80 - 24/(-480) - -12. Determine t so that 7/4 + u*t + 1/8*t**2 = 0.
-7, -2
Let y(q) = -q**3 - q**2 + q + 1. Let b(a) = 7*a**3 + 4*a**2 - 19*a - 16. Suppose 0 = -2*u - 2, -4*u + 9*u + 11 = -h. Let l(o) = h*y(o) - b(o). Factor l(w).
-(w - 5)*(w + 1)*(w + 2)
Solve -20*j**2 - 28*j**3 + 46*j**2 + 14*j - 13*j**2 + 14 + 39*j - 2 = 0.
-1, -1/4, 12/7
Let c = 149769 + -449285/3. Find p, given that -c*p**3 + 0 + 0*p + 4*p**4 - 2/3*p**5 + 4*p**2 = 0.
0, 1, 2, 3
Factor 240*r 