0 = 0. What is g?
-618, -3, -1, 0
Factor 115/3*a**3 + 5/3*a**4 + 65*a**2 + 0 - 105*a.
5*a*(a - 1)*(a + 3)*(a + 21)/3
Suppose 0*g + g + 5*p + 121 = 0, 4*g - p = -505. Let k be 4/24 + 1*(-195)/g. Factor -k*o + 2/7*o**2 + 18/7.
2*(o - 3)**2/7
Let j(z) = z**2 - 10*z - 2. Let g(i) = -10*i**2 + 93*i + 22. Let u(p) = 4*g(p) + 36*j(p). Solve u(b) = 0.
-1, 4
Let r be ((-3)/(-9) + 1)*3. Suppose 4*l = q - 0 - 17, 0 = -3*q - r*l + 51. Solve -3*c**2 - 7 - 7 + 4 - q*c = 0.
-5, -2/3
Let s(a) be the first derivative of -a**4/12 + 73*a**3/9 - 608*a**2/3 - 1444*a + 587. Find i such that s(i) = 0.
-3, 38
Let l(h) be the first derivative of 0*h**2 - 5/22*h**4 - 20 - 2/55*h**5 - 8/33*h**3 + 0*h. Solve l(q) = 0 for q.
-4, -1, 0
Let x(m) be the second derivative of m**4/36 + 17*m**3/9 + 957*m. Factor x(p).
p*(p + 34)/3
Let v(q) be the third derivative of -4*q**2 + 3*q**3 + 0*q - 32 + 19/24*q**4 + 1/60*q**5. Solve v(k) = 0 for k.
-18, -1
Let n be 0/4 + 1 - 1*-3. Suppose 3*s - 3*h = -3 + 18, 0 = 2*s - n*h - 14. Find w such that -w**s - 15*w + 9*w + 6*w**3 + w = 0.
-1, 0, 1
Let p = 25 + -21. Let a be (-44)/(-8) - 3/6. Let -10*d - d**2 - 9*d**p + 5*d**3 + 16*d**2 - 6*d**4 + a*d**5 = 0. Calculate d.
-1, 0, 1, 2
Suppose -114*a = -4*b - 112*a + 12, 0 = 4*b + 4*a. Let w(v) be the first derivative of 0*v - 1/12*v**3 + 0*v**b + 1/16*v**4 + 44. Suppose w(o) = 0. Calculate o.
0, 1
Factor 184/9*f**4 + 0 + 0*f**2 + 0*f - 128/3*f**3 + 4/9*f**5.
4*f**3*(f - 2)*(f + 48)/9
Let x(p) be the second derivative of 0*p**2 - 2 + 2*p**4 + 4*p + 0*p**3 - p**5 - 2/15*p**6. Factor x(u).
-4*u**2*(u - 1)*(u + 6)
Let n(j) be the third derivative of -j**7/1050 - 19*j**6/600 - 13*j**5/30 - 31*j**4/10 - 12*j**3 - 11*j**2 + 36. Solve n(d) = 0.
-6, -5, -2
Let j(t) be the first derivative of t**7/70 + t**6/5 - t**5/2 - t**4 + 9*t**3/2 + t**2/2 + 27*t + 34. Let y(x) be the second derivative of j(x). Factor y(h).
3*(h - 1)**2*(h + 1)*(h + 9)
Let c(z) = z**2 - 149*z + 259. Let g(q) = 4*q**2 - 524*q + 906. Let x(t) = -18*c(t) + 5*g(t). Determine u so that x(u) = 0.
-33, 2
Let l(t) be the second derivative of -7/25*t**5 + 84/5*t**3 + 2 - 13/30*t**4 + 13*t - 324/5*t**2 - 1/75*t**6. Suppose l(j) = 0. Calculate j.
-9, 2
Let n(k) be the first derivative of k**5/35 + k**4/14 - 8*k**3/21 + 3*k**2/7 - k - 119. Let r(j) be the first derivative of n(j). Solve r(a) = 0.
-3, 1/2, 1
Let q(w) be the third derivative of 0*w**3 - 7/720*w**6 + 3*w**2 + 1/24*w**4 - 19/360*w**5 + 0 - 33*w. Factor q(m).
-m*(m + 3)*(7*m - 2)/6
Let v(y) be the first derivative of -y**4/4 - 16*y**3/3 + 18*y**2 - 641. Factor v(u).
-u*(u - 2)*(u + 18)
Solve -56/5*m - 24 - 2/5*m**3 + 62/5*m**2 = 0.
-1, 2, 30
Let g(a) be the first derivative of -7 - a**3 + 0*a - a**2 - 1/30*a**5 - 1/3*a**4. Let k(n) be the second derivative of g(n). Solve k(l) = 0 for l.
-3, -1
Let i(l) be the first derivative of -5/3*l**3 - 3/4*l**5 + 15/4*l**4 - 25*l - 2/3*l**6 + 40 + 0*l**2. Let f(g) be the first derivative of i(g). Factor f(j).
-5*j*(j - 1)*(j + 2)*(4*j - 1)
Suppose 5*l - 2*i = 342, -5*i + 2*i + 82 = l. Suppose 5*s**4 - 6*s**2 - 40 - 9*s**2 + 7*s**2 + 20*s**3 - 7*s**2 - l*s = 0. Calculate s.
-4, -1, 2
Let k(i) = -2*i - 71. Let j be k(-36). Let h(u) = u**2 - 40*u + 38. Let b(r) = -r. Let g(s) = j*b(s) - h(s). Factor g(y).
-(y - 38)*(y - 1)
Let i = 109 - 90. Let f be (-56)/(-252)*(i + -1). Factor 4/5*b**4 + 4/5*b**3 - f*b**2 + 12/5*b + 0.
4*b*(b - 1)**2*(b + 3)/5
Let s = -874694 + 2624086/3. Factor 0 + 5/3*n**3 + s*n + 1/3*n**4 + 8/3*n**2.
n*(n + 1)*(n + 2)**2/3
Let t = -4723 - -4728. Let j(d) be the first derivative of 3*d**4 - 2*d**5 - 7*d**2 + t + 1/3*d**6 + 4/3*d**3 + 6*d. Let j(x) = 0. What is x?
-1, 1, 3
Factor 135*z - 22*z**3 - 1490*z**2 - 78 + 158*z + 533*z**2 + 694*z**2.
-(z + 13)*(2*z - 1)*(11*z - 6)
Let w = -570484 - -570484. Factor -1/3*j**3 + 4/3 - j**2 + w*j.
-(j - 1)*(j + 2)**2/3
Let h(p) = -p**4 - p**2. Let d = -690 + 691. Let v(k) = -9*k**4 - 33*k**3 - 21*k**2 + 105*k - 66. Let q(t) = d*v(t) - 12*h(t). Determine c, given that q(c) = 0.
-2, 1, 11
Let b = 217651/435310 - -2/217655. Factor 1/2*k**2 + b - k.
(k - 1)**2/2
Let u be ((-4)/(-5))/((-10)/(-200)). Suppose -c = -4, 2*a + u = 5*c - 0. Factor -8 + 0*h**a - 2 - h**2 + 6*h**2 - 5*h.
5*(h - 2)*(h + 1)
Suppose f = 3*n - 91, -2*f - 2 = -3*n + 84. Suppose 12*m + n + 2*m**2 - 11*m + 6*m + 9*m = 0. Calculate m.
-4
Let n be 7 - (-69671)/(-28) - 3. Let j = n + 2485. Factor -j*m**3 - 6*m + 0 - 9/2*m**2.
-3*m*(m + 2)*(m + 4)/4
Suppose 155*b - 634*b + 287*b + 576 = 0. Factor 5488/5 - 2/5*t**4 - 1092/5*t**2 + 4312/5*t + 82/5*t**b.
-2*(t - 14)**3*(t + 1)/5
Let f = 45 + -43. Suppose 2 = -12*g + f. Suppose -8*o - 35*o**2 + g*o**2 + 40*o**3 + 3*o = 0. What is o?
-1/8, 0, 1
Let l(x) be the third derivative of x**8/112 + 3*x**7/70 - 3*x**6/5 - 4*x**5 - x**2 - 10*x + 3. Solve l(t) = 0 for t.
-4, 0, 5
Let w be (8/(-24))/(2535/(-423) - -6). Let c be (w - -46)*4/(-22). Factor -338/11 - c*s**2 - 52/11*s.
-2*(s + 13)**2/11
Determine p so that -402*p**2 + 109*p**2 + 10*p**3 + 72 + 229*p**2 + 78*p = 0.
-3/5, 3, 4
Let b(k) be the second derivative of k**6/6 + 3*k**5/2 + 15*k**4/4 + 10*k**3/3 - 2*k - 1124. Determine a, given that b(a) = 0.
-4, -1, 0
Let a be ((-1196)/(-2691))/((-28)/(-27)). Factor 27/7*t + 12/7 + 18/7*t**2 + a*t**3.
3*(t + 1)**2*(t + 4)/7
Let s(d) be the third derivative of d**5/90 + 101*d**4/36 + 388*d**3/9 + 2*d**2 + 4*d - 17. Suppose s(b) = 0. Calculate b.
-97, -4
Determine w, given that 6/7*w**4 + 0 - 2/7*w**5 - 24/7*w**2 + 4/7*w**3 + 16/7*w = 0.
-2, 0, 1, 2
Let x(l) be the first derivative of -l**4 + 100*l**3 - 2574*l**2 - 18252*l + 1455. Factor x(o).
-4*(o - 39)**2*(o + 3)
Let i be ((-7)/(21/40))/((-4)/6). Suppose 8 = -18*v + i*v. Factor 0*j**4 - 2*j**3 - 7*j**4 + 8*j - 35*j**2 + 55*j**2 + 2*j**v.
-j*(j - 2)*(j + 2)*(5*j + 2)
Let c = 1681 - 1153. Let q = c + -528. Factor 6/11*r**4 + q - 4/11*r**2 + 10/11*r**3 + 0*r.
2*r**2*(r + 2)*(3*r - 1)/11
Let w(l) be the second derivative of -l**4/30 + 74*l**3/15 + 152*l**2/5 - 742*l. Suppose w(h) = 0. What is h?
-2, 76
Let n(m) be the second derivative of m**7/168 - m**6/30 - m**5/80 + m**4/12 + 2*m + 76. Suppose n(i) = 0. What is i?
-1, 0, 1, 4
Let f = 65678/35 - 9494/5. Let p = f + 333/14. Solve 1/8*z**2 + 9/2 + p*z = 0 for z.
-6
Let b be ((-5)/(-18))/(6/(-69) - (-484)/276). Let k(c) be the second derivative of 1/3*c**2 + 0 + 1/36*c**4 - 7/18*c**3 + 16*c + b*c**5. Solve k(h) = 0 for h.
-1, 2/5, 1/2
Suppose -120*l = -104*l. Let s(t) be the second derivative of 0*t**3 + 1/15*t**4 - 22*t + 1/50*t**5 + 0 + l*t**2. Factor s(r).
2*r**2*(r + 2)/5
Let b = 353380 - 353376. Suppose 3/7*p**3 + 12/7*p**2 - 3/7*p**b + 0 - 12/7*p = 0. Calculate p.
-2, 0, 1, 2
Suppose -198*p = -181*p. Let q(o) be the third derivative of -1/960*o**6 + p*o - 1/480*o**5 + 1/192*o**4 + 19*o**2 + 1/48*o**3 + 0. Factor q(v).
-(v - 1)*(v + 1)**2/8
Let s be 12/(-30) + -6*12/(-180). Let n(o) be the second derivative of 1/110*o**5 + 27/11*o**2 - 1/22*o**4 - 3/11*o**3 + 24*o + s. Factor n(k).
2*(k - 3)**2*(k + 3)/11
Let a(r) be the first derivative of -8/5*r**5 - 168 + 0*r + 49*r**4 + 224/3*r**3 + 24*r**2 - 14/3*r**6. Find v such that a(v) = 0.
-2, -1, -2/7, 0, 3
Suppose 348 = 2*n + 336. Suppose -n*d + 3*d + 6 = 0. Factor -32/5*g - 8/5 - 2/5*g**5 - 38/5*g**3 - 10*g**d - 14/5*g**4.
-2*(g + 1)**3*(g + 2)**2/5
Suppose -5*f = -23*f + 468. Let n be ((-10)/65)/((-2)/f). Determine d, given that 16/11 - 6/11*d**4 + 24/11*d - 12/11*d**2 - n*d**3 = 0.
-2, -2/3, 1
Let y(c) be the first derivative of c**4/4 + 82*c**3/3 - 352*c**2 + 1440*c + 676. Solve y(k) = 0.
-90, 4
Solve -3*q + 3/7*q**2 - 234/7 = 0 for q.
-6, 13
Factor -8/3*f**3 + 0 - 1806*f**2 - 1354/3*f.
-2*f*(f + 677)*(4*f + 1)/3
Let g(i) = -6*i**2 - i + 16. Let u(z) = 5*z**2 - 15. Suppose -6*m = -3*m. Suppose k - 3 - 4 = m. Let o(w) = k*u(w) + 6*g(w). Factor o(j).
-(j + 3)**2
Suppose 0 = -2*n - 16 + 6, a + 3*n = 93. Let m be (-3)/a*4*-6. Factor 0 + 0*g + 4/3*g**2 + m*g**3.
2*g**2*(g + 2)/3
Solve -1216/7*y - 60/7*y**3 - 2/7*y**4 + 0 + 576/7*y**2 = 0 for y.
-38, 0, 4
Let g(a) = -5*a - 53. Let m be g(0). Let o = -51 - m. Solve -24 + 12*n**2 - 27*n**2 + 4*n + 10*n**o + 9*n**2 = 0 for n.
-3, 2
Factor 2/5*m**3 + 0 + 12/5*m**2 + 0*m - 2/5*m**4.
-2*m**2*(m - 3)