2 + 23*d**2.
2*(d - 1)**2*(d + 7)
Determine w so that -248*w + 131*w**3 - 11/2*w**4 - 50 + 345/2*w**2 = 0.
-2, -2/11, 1, 25
Let p(t) be the first derivative of t**4/2 + 934*t**3/3 + 54288*t**2 - 109512*t - 1281. Factor p(v).
2*(v - 1)*(v + 234)**2
Factor 0 - 36/7*o + 4/7*o**2.
4*o*(o - 9)/7
Let v(u) be the first derivative of 24 + 0*u - u**4 + 28/3*u**3 + 16*u**2. Factor v(g).
-4*g*(g - 8)*(g + 1)
Let k be ((20/25)/2)/((-2)/4060). Let r = -810 - k. Factor 14/3*x**r + 4/3 - 2*x**3 - 38/9*x + 2/9*x**4.
2*(x - 6)*(x - 1)**3/9
Let r = 97 - 97. Let f(o) = o**3 - 20*o**2 + 92*o - 4. Let h be f(7). Solve 0*w**2 + 0 + 2/13*w**5 + r*w + 6/13*w**h - 8/13*w**4 = 0.
0, 1, 3
Let g = 3317/7980 + 2/1995. Let c(a) be the second derivative of 0 - 40*a**2 + 9*a + 20/3*a**3 - g*a**4. Determine v, given that c(v) = 0.
4
Let s(i) be the third derivative of -i**5/360 - 193*i**4/144 + 15*i**2 + 19*i. Let s(v) = 0. Calculate v.
-193, 0
Let l(r) = 8*r**4 - 174*r**3 - 936*r**2 + 5362*r + 6137. Let g(i) = -6*i**4 + 116*i**3 + 624*i**2 - 3574*i - 4091. Let p(z) = 7*g(z) + 5*l(z). Factor p(h).
-2*(h - 4)*(h + 1)*(h + 16)**2
Let n(f) be the third derivative of -3/32*f**4 - 3/16*f**5 + 0*f - 55*f**2 + 1/3*f**3 + 0. Factor n(v).
-(3*v - 1)*(15*v + 8)/4
Let f(t) be the second derivative of -t**7/1008 - t**6/36 - 5*t**5/16 - 73*t**4/12 + t**3/6 + 28*t - 1. Let a(j) be the third derivative of f(j). Factor a(n).
-5*(n + 3)*(n + 5)/2
Suppose -5*n - 105 = -115. Factor 100 + 310*r - 77*r**n - 77*r**2 - 41*r**2 + 59*r**2 + 14*r**3.
2*(r - 5)**2*(7*r + 2)
Determine v, given that -1/8*v**5 - 129/4*v**3 - 253/8*v + 191/4*v**2 + 63/8 + 67/8*v**4 = 0.
1, 63
Let c(j) be the first derivative of -j**7/42 + j**6/6 - 7*j**5/20 + j**4/4 + 30*j + 64. Let a(s) be the first derivative of c(s). What is z in a(z) = 0?
0, 1, 3
Suppose -187272/13 - 18/13*r**4 - 5532/13*r**3 - 32978*r**2 - 564264/13*r = 0. What is r?
-153, -2/3
Let t(m) be the second derivative of m**5/140 + 18*m**4/7 + 2014*m**3/7 + 22472*m**2/7 - 933*m. Solve t(w) = 0.
-106, -4
Find m such that -3147*m**2 - 26*m**4 + 2403*m**2 + 507*m**3 - m**4 + 288 + 174*m**3 - 1164*m = 0.
-1, 2/9, 2, 24
Let p(a) = 1853*a + 270541. Let k be p(-146). Solve -38/7*g**k + 0 + 16/7*g**4 + 24/7*g**2 + 0*g - 2/7*g**5 = 0.
0, 1, 3, 4
Suppose 5*h - 420 = -9*h. Suppose 46 = h*d - 74. Let 0 + 2/9*b**d + 0*b**3 + 0*b**2 + 0*b + 2/9*b**5 = 0. What is b?
-1, 0
Suppose 0 = a + 488 - 540. Let v be (-52)/a*(-2 - (1 + -3)). Suppose -1/3*i**2 + 1/9*i**3 + v*i + 4/9 = 0. What is i?
-1, 2
Suppose -7*q + 5*q + 18 = 0. Let u be 11 - ((q - 3) + -3). Factor -u*l**3 + 12*l**3 - 6*l**3.
-2*l**3
Find a, given that 5680/9*a**2 + 2/9*a**5 + 250/9*a**4 + 416 + 640/3*a**3 + 7520/9*a = 0.
-117, -2
Let x be 5/45*-2 + (-8118)/(-81). Suppose -407*g + x = -382*g. Determine s so that -2*s**g + 8/3 - 32/3*s + 22/3*s**2 + 8/3*s**3 = 0.
-2, 1/3, 1, 2
Let l(k) be the second derivative of k**7/1680 + 7*k**6/720 + k**5/30 - k**4/3 + 15*k**3 - 66*k - 2. Let w(g) be the second derivative of l(g). Solve w(f) = 0.
-4, 1
Let n(l) be the third derivative of l**5/12 + 5*l**4/4 - 100*l**3/3 + 887*l**2. Factor n(i).
5*(i - 4)*(i + 10)
Let b(y) be the second derivative of 16*y**2 + 57*y + 4*y**3 + 3/8*y**4 + 1. Factor b(m).
(3*m + 8)**2/2
Let j(k) be the second derivative of 13*k**4/48 - 947*k**3/24 - 73*k**2/4 - 59*k - 31. Solve j(x) = 0 for x.
-2/13, 73
Let h(r) be the first derivative of -1/2*r + 0*r**3 + 1/16*r**4 + 76 - 3/8*r**2. Find g such that h(g) = 0.
-1, 2
Let v(f) be the first derivative of 2/3*f**3 - 1/12*f**4 + 5/2*f**2 + 17 + 28*f. Let x(l) be the first derivative of v(l). Factor x(m).
-(m - 5)*(m + 1)
Let a(f) be the first derivative of 16*f**5/15 - 18*f**4 + 121*f**3 - 405*f**2 + 675*f - 486. Find x such that a(x) = 0.
3, 15/4
Let w = -4852144/13 + 373242. Determine u so that w*u**2 - 4/13 - 2/13*u = 0.
-1, 2
Let -15/4*q - 23/4*q**2 - 1/4*q**4 - 9/4*q**3 + 0 = 0. Calculate q.
-5, -3, -1, 0
What is f in -225931 + 228*f**2 + 5*f**3 + 226161 - 4*f**3 - 459*f = 0?
-230, 1
Let n(h) be the second derivative of h**7/3780 + h**6/1620 - h**5/135 - h**4/27 - 15*h**3 + 65*h. Let d(r) be the second derivative of n(r). Factor d(a).
2*(a - 2)*(a + 1)*(a + 2)/9
Let m = 109/1562 - -24229/10934. Solve 0 + m*h**4 - 40/7*h**2 + 32/7*h + 4/7*h**5 - 12/7*h**3 = 0.
-4, -2, 0, 1
Let w(n) be the first derivative of 108*n**5/5 - 1134*n**4 + 1488*n**3 - 740*n**2 + 164*n + 2430. Determine b so that w(b) = 0.
1/3, 41
Let p(a) = 2*a - 130. Let z be p(35). Let g be (-14)/(-3) + z/36. Factor 0*d - 4/11*d**2 + 0 + 2/11*d**g.
2*d**2*(d - 2)/11
Let l(w) be the second derivative of -704*w**5/5 + 524*w**4/3 + 358*w**3/3 + 2*w**2 - 68*w - 3. Find f, given that l(f) = 0.
-1/4, -1/176, 1
Let k(x) = 17*x**4 - 83*x**3 + 226*x**2 - 181*x. Let r(b) = -9*b**4 + 41*b**3 - 112*b**2 + 92*b. Let a(f) = 4*k(f) + 7*r(f). Suppose a(z) = 0. Calculate z.
0, 1, 4
Let g(j) = j**2 + 6*j - 8. Let s be g(-6). Let k(z) = 2*z + 22. Let o be k(s). Factor -o*t - t + 2*t + 3*t + t**2.
t*(t - 2)
Factor -1371 + p**2 + 2113 + 216*p + 2138 - 20*p**2 + 17*p**2.
-2*(p - 120)*(p + 12)
Let p = -107 - -121. Factor 36*j**2 + 37 - p*j - 22*j - 7 - 60*j + 34 - 4*j**3.
-4*(j - 4)**2*(j - 1)
Let a(l) be the first derivative of 0*l + 0*l**2 - 14/3*l**3 + 4*l**4 - 2/5*l**5 + 43. Factor a(k).
-2*k**2*(k - 7)*(k - 1)
Let x = -10649/3 - -42925/12. Let r = -105/4 + x. Find z such that -r*z - 5/6*z**2 - 1/6*z**3 - 1/2 = 0.
-3, -1
Let i(m) be the third derivative of 0 + 5/112*m**8 - 1/2*m**5 - m**3 - 39*m**2 + 6/35*m**7 + 1/10*m**6 + 0*m - 9/8*m**4. Factor i(a).
3*(a - 1)*(a + 1)**3*(5*a + 2)
Let c = -1598 + 14384/9. Let p be ((-6)/(-10))/(1/5). Determine i, given that 2/9*i**2 - 2/9*i + c*i**p - 2/9 = 0.
-1, 1
Let q(u) be the third derivative of -17/25*u**5 + 0 - 8*u - 6/5*u**3 - 47/40*u**4 - 4/175*u**7 - 3*u**2 + 1/560*u**8 - 21/100*u**6. Find w such that q(w) = 0.
-1, 12
What is y in 1/2*y**4 + 0 - 2/3*y**3 + 5*y - 89/6*y**2 = 0?
-5, 0, 1/3, 6
Let k = 355 + -635/2. Let a = 6427/8 - 803. Factor -15/2*y + k + a*y**2.
3*(y - 10)**2/8
Factor 2/7*s**3 + 142/7*s - 74/7*s**2 - 10.
2*(s - 35)*(s - 1)**2/7
Let d be 152/(-190) - 38/(-10). Let -1/2*y**d + 45/2*y**2 - 264*y + 242 = 0. What is y?
1, 22
Let l = 1/212077 + 424143/2332847. Factor -l*b**3 + 2/11*b + 8/11 - 8/11*b**2.
-2*(b - 1)*(b + 1)*(b + 4)/11
Let z be (-1389)/(-6) + (3 - (-35)/(-7)). Let y = 230 - z. Factor 1/4*b**2 + 0 - y*b + 1/4*b**3.
b*(b - 1)*(b + 2)/4
Let h(w) be the first derivative of 1/12*w**3 + 35 + 25*w + 5/2*w**2. Suppose h(b) = 0. What is b?
-10
Let i = -205261 - -615785/3. Factor -16/3*p**3 - 40/3 + 8/3*p + 10*p**2 + i*p**4.
2*(p - 5)*(p - 2)**2*(p + 1)/3
Let z be (4/280)/(((-6765)/1100)/(-123)). Let z*j**2 + 18/7 + 12/7*j = 0. Calculate j.
-3
Let s be ((-65)/(-78))/((-2 + 5/3)*-2). Let l(t) be the first derivative of s*t**4 - 15/2*t**2 + 10*t + 28 + 0*t**3. Factor l(v).
5*(v - 1)**2*(v + 2)
Let y be (-7 - -13)/(((-4)/24)/1). Let j be (-6 - (-8)/1) + y/21. Solve -2/7*l**3 + 0 + 0*l**2 + j*l = 0.
-1, 0, 1
Let b = 31508 + -31505. Let r(s) be the first derivative of 0*s - 13/33*s**b + 41 + 5/11*s**4 - 9/55*s**5 + 1/11*s**2. Find o such that r(o) = 0.
0, 2/9, 1
Factor 2*z**3 + 830*z**2 + 8 - 22*z - 826*z**2 - 16*z - 20*z + 76.
2*(z - 3)*(z - 2)*(z + 7)
Factor 1/7*m**2 - 32/7*m + 256/7.
(m - 16)**2/7
Factor -5*m**3 - 40 + 5 + 168 + 157 + 575*m + 280*m**2.
-5*(m - 58)*(m + 1)**2
Let y = 37289 + -37287. Solve -2/7*i**y - 2/7*i**3 + 6*i + 90/7 = 0.
-3, 5
Let p be 1*2/(-44)*154/(-28). Suppose -1/2*g**2 + 3/4*g - p*g**3 + 0 = 0. Calculate g.
-3, 0, 1
Factor 130*j + 150 + 4*j**2 + 165 - 35 - 62*j.
4*(j + 7)*(j + 10)
Let d(t) be the second derivative of -27 + 4*t - 3/40*t**5 - 2*t**3 + 5/8*t**4 + 3*t**2. Let d(f) = 0. What is f?
1, 2
Let y = 7 + -5. Suppose h = -5*t + 37, -2*t + 8*h - 3*h + 31 = 0. Factor -2289 + 2289 - t*c - 2*c**y.
-2*c*(c + 4)
Let t(s) be the third derivative of s**8/84 + 92*s**7/105 - 21*s**6/10 - 772*s**5/15 - 470*s**4/3 + 3321*s**2. Solve t(h) = 0 for h.
-47, -2, 0, 5
Let h(j) be the third derivative of 0*j + 1/75*j**5 + 27*j**2 + 0 - 14/15*j**3 - 1/5*j**4. Determine m, given that h(m) = 0.
-1, 7
Factor 2/7*l**2 + 204/7*l - 416/7.
2*(l - 2)*(l + 104)/7
Factor 0 - 96*n**2 + 0*n + 1