h(g).
-5*g*(g - 2)*(g - 1)
Let v(j) be the first derivative of j**6/2 - 33*j**5/5 - 183*j**4/4 + 11*j**3 + 90*j**2 - 2186. Find h, given that v(h) = 0.
-4, -1, 0, 1, 15
Let x(b) be the third derivative of 5*b**8/7 + 1018*b**7/105 + 483*b**6/10 + 1417*b**5/15 + 17*b**4/2 - 84*b**3 + 552*b**2. Let x(g) = 0. Calculate g.
-3, -7/3, -2/5, 1/4
Let y be 22/(-44) + 25/2. Let k(u) = -u**4 + u**2 - u. Let s(g) = 16*g**4 + 4*g**3 - 72*g**2 - 24*g + 216. Let t(x) = y*k(x) + s(x). Factor t(r).
4*(r - 3)*(r - 2)*(r + 3)**2
Let t(x) be the second derivative of 8/21*x**3 + 4/7*x**2 - 11/42*x**4 - 4 + 3/70*x**5 - 3*x. Factor t(k).
2*(k - 2)**2*(3*k + 1)/7
Let x(d) be the third derivative of d**5/150 - 109*d**4/60 - 112*d**3/5 + 59*d**2 + d - 8. Factor x(h).
2*(h - 112)*(h + 3)/5
Let r(q) be the third derivative of q**5/12 + 8375*q**4/24 + 1395*q**3 + 9204*q**2. Solve r(w) = 0.
-1674, -1
Let n(x) be the second derivative of -x**5/60 - 145*x**4/36 - 1375*x**3/18 - 1125*x**2/2 + 9076*x. Factor n(r).
-(r + 5)**2*(r + 135)/3
Let p = 3668921/978364 + -14/244591. Let j = -3/2 + 11/4. Factor -p*b**2 + j*b + 5/2.
-5*(b - 1)*(3*b + 2)/4
Suppose -2*y = -173 + 173. Let a(d) be the third derivative of 0*d**4 + 1/60*d**6 + 0 + 0*d + 0*d**5 + 1/210*d**7 - d**2 + y*d**3. Factor a(f).
f**3*(f + 2)
Let g(a) = 4*a**2 - 5. Let k(m) = 20*m**2 + 264*m - 4386. Let c(q) = -6*g(q) + k(q). Factor c(s).
-4*(s - 33)**2
Let r(m) = -20*m**2 - 3382*m - 1414598. Let w(f) = 9*f**2 + 1690*f + 707297. Let z(v) = -4*r(v) - 9*w(v). Factor z(p).
-(p + 841)**2
Let m(n) = 16*n**2 + 2368*n + 225806. Let q(d) = 5*d**2 + 788*d + 75269. Let o(l) = -3*m(l) + 10*q(l). Factor o(j).
2*(j + 194)**2
Let r(y) be the second derivative of -y**8/448 + y**7/140 + 3*y**6/160 + 94*y**2 + 56*y. Let v(h) be the first derivative of r(h). Suppose v(u) = 0. What is u?
-1, 0, 3
Let n(d) be the second derivative of d**6/240 - d**5/24 + d**4/12 + 61*d**2/2 + 9*d - 3. Let q(u) be the first derivative of n(u). Factor q(x).
x*(x - 4)*(x - 1)/2
Solve 0 + 14*i**3 + 66*i**2 - 21/2*i**4 - 1/2*i**5 + 0*i = 0 for i.
-22, -2, 0, 3
Let g(o) be the second derivative of o**5/210 - 2*o**4/7 - 37*o**3/63 + 2573*o. Find i such that g(i) = 0.
-1, 0, 37
Suppose -12*f = 8*f - 40*f + 11*f. Let x(y) be the second derivative of -4/3*y**3 + 0*y**2 + 1/3*y**6 - 4*y + 13/10*y**5 + f + 2/3*y**4. Factor x(t).
2*t*(t + 1)*(t + 2)*(5*t - 2)
Let c = 7289 + -7272. Let h(y) be the second derivative of 1/12*y**3 + 1/6*y**2 + c*y + 1/72*y**4 + 0. Find p, given that h(p) = 0.
-2, -1
Let a = -10912 + 10916. Let i(g) be the first derivative of -3/25*g**5 - 14 + 12/5*g**2 + 0*g + 9/10*g**a - 12/5*g**3. Factor i(b).
-3*b*(b - 2)**3/5
Let x(d) = 4*d**2 - 26*d + 108. Let p(v) = 5*v**2 - 27*v + 114. Let t(w) = -3*p(w) + 4*x(w). Determine m, given that t(m) = 0.
5, 18
Suppose -5 = -2*b + l, -2*l - 3 = -3*b + 5. Solve 27*u**b + 5*u**4 - u**2 + 6 + 11*u**2 + 6*u + 19*u + 23*u**3 = 0 for u.
-2, -1, -3/5
Let o(j) be the second derivative of j**7/180 - 19*j**6/540 + 2*j**5/45 + j**4/9 + 3*j**3/2 - 40*j - 2. Let h(q) be the second derivative of o(q). Factor h(m).
2*(m - 2)*(m - 1)*(7*m + 2)/3
Suppose 3*h - h = -o + 103, -91 = -o + h. Factor 581 + 104*p - 4*p**2 + 8*p**2 + o.
4*(p + 13)**2
Let b = 370791 - 1112365/3. Factor b*k - 1/3*k**3 - 1/3*k**2 + 4.
-(k - 3)*(k + 2)**2/3
Let i(s) be the third derivative of 81*s**2 + 490/3*s**3 + 0*s - 7/12*s**6 + 35/3*s**4 + 0 - 15/4*s**5 - 1/42*s**7. Determine u, given that i(u) = 0.
-7, -2, 2
Let w be (-5496)/(-720) - (-6)/(-45). Let m(l) be the first derivative of -5/4*l**4 + 5*l + 5*l**3 + 37 - w*l**2. Factor m(c).
-5*(c - 1)**3
Let x(v) be the second derivative of v**5/4 - 5*v**4/6 - 5*v**3/6 + 5*v**2 - 757*v. Factor x(w).
5*(w - 2)*(w - 1)*(w + 1)
Let j(g) be the third derivative of -g**7/210 - 17*g**6/120 + 367*g**5/60 - 679*g**4/24 + 55*g**3 + 2683*g**2. Solve j(n) = 0 for n.
-30, 1, 11
Let p be -3 - 220/(-25) - 5. Let l be (18/(-45))/((-4)/8). Factor l*q - 4/5*q**4 - p - 8/5*q**3 + 8/5*q**2 + 4/5*q**5.
4*(q - 1)**3*(q + 1)**2/5
Factor -152*j**2 + 0 + 31768*j + 2/11*j**3.
2*j*(j - 418)**2/11
Suppose -4*m + 10 = 2*p, -5*p + 25 = -5*m + 3*m. Determine h so that -3*h**2 + 34*h**4 - p*h**2 - 30*h**4 + 4 = 0.
-1, 1
Let g(y) be the second derivative of -1/66*y**4 - 64/11*y**2 + 47*y + 0 - 16/33*y**3. Factor g(l).
-2*(l + 8)**2/11
Factor -1/3*k**3 + 0 - 5/3*k - 2*k**2.
-k*(k + 1)*(k + 5)/3
Let m(k) = 20*k**3 + 58*k**2 + 198*k - 108. Let v(z) = 4*z**3 + 3*z. Let a(x) = -m(x) + 4*v(x). Factor a(o).
-2*(o + 6)*(o + 9)*(2*o - 1)
Let s = 296/3 + -635/6. Let k = -7 - s. Find c, given that 5/6*c**4 + 1/2*c**3 + k*c**5 - 3/2*c**2 + 0 + 0*c = 0.
-3, 0, 1
Let c = -40002 + 40002. Let m(v) be the third derivative of 0*v + 0*v**3 + 1/60*v**5 - 1/420*v**7 + c*v**4 - 1/240*v**6 + 0 - 23*v**2. Factor m(p).
-p**2*(p - 1)*(p + 2)/2
Factor 197/4*c**2 - 33/2*c + 0 - 195/4*c**3 + 1/4*c**5 + 63/4*c**4.
c*(c - 1)**3*(c + 66)/4
Suppose 3*k - 2*x + 16 - 28 = 0, 0 = -x. Let f(r) = r**2 + 5*r + 3. Let o be f(-5). Factor -2*y**k - 4 + 23*y**4 + 273*y**2 - 99*y - 50 - 141*y**o.
3*(y - 3)**2*(y - 1)*(7*y + 2)
What is f in -82/3*f - 25/3*f**2 + 1/3*f**3 - 56/3 = 0?
-2, -1, 28
Let n be 2/(-4)*(-7)/((-14)/(-8)). Factor 6165*y**4 - 45*y**3 + 12*y + 33*y**2 - 6153*y**4 + 3*y**n.
3*y*(y - 2)**2*(4*y + 1)
Determine q so that 0*q**4 - 2/9*q**5 + 0 - 4/3*q**2 + 0*q + 14/9*q**3 = 0.
-3, 0, 1, 2
Suppose -2*o + 255 = -361. Factor -16 + 198*f**4 + 140*f**4 - 113*f**4 + 144*f + 99*f**4 - 144*f**3 - o*f**2.
4*(f - 1)*(f + 1)*(9*f - 2)**2
Let w = 2311/2 + -1024. Let s = w + -131. Factor -1/8*k**3 + s*k**2 + 0 - 1/2*k.
-k*(k - 2)**2/8
Let o(i) be the second derivative of i**5/50 - 38*i**4/15 + 5*i**3 - 2617*i. Solve o(l) = 0.
0, 1, 75
Let v(l) be the second derivative of -l**5/100 - 2*l**4/5 - 14*l**3/5 + 31*l**2 + 125*l. Let r(h) be the first derivative of v(h). Suppose r(x) = 0. What is x?
-14, -2
Suppose -2*b = -b - 3. Let k be ((-1)/(-4) + 0)*(-27 - -29). Let -27/4*z**b - 9/4*z**4 - 13/4*z - 29/4*z**2 - k = 0. What is z?
-1, -2/3, -1/3
Let l(n) be the third derivative of n**5/510 - 5*n**4/204 - 304*n**2 - 2*n. Find d, given that l(d) = 0.
0, 5
Let l(y) be the first derivative of y**6/15 + 32*y**5/25 + 41*y**4/5 + 96*y**3/5 - 27*y**2/5 - 432*y/5 - 961. Factor l(m).
2*(m - 1)*(m + 3)**3*(m + 8)/5
Let s(t) be the first derivative of t**6/5 + 78*t**5/25 - 939*t**4/5 - 836*t**3 + 392403*t**2/5 - 4224594*t/5 + 4951. Find k such that s(k) = 0.
-23, 11
Let w(s) be the second derivative of -3*s**5/20 + 17*s**4/2 - 104*s**3 + 4359*s. Find c, given that w(c) = 0.
0, 8, 26
Solve -6*m**3 + 288*m - 1/3*m**5 + 19/3*m**4 - 288*m**2 + 0 = 0.
-6, 0, 1, 12
Let q = 6200 + -6200. Let p be (1 - 27/33) + 0. Let 2/11*z**4 + 4/11*z + q + p*z**5 - 6/11*z**3 - 2/11*z**2 = 0. Calculate z.
-2, -1, 0, 1
Suppose -11*t - 49*t = -3120. Suppose 0 = 49*j - t*j. Solve 3/2 - 1/2*l**4 + 4*l + 3*l**2 + j*l**3 = 0.
-1, 3
Let c(d) be the third derivative of -d**7/42 + 65*d**6/24 + d**5/12 - 325*d**4/24 + 2345*d**2. Factor c(q).
-5*q*(q - 65)*(q - 1)*(q + 1)
Let s(x) = -x**2 + 3*x + 3. Let l(v) = v**2 - 4*v - 4. Suppose -80 = 3*j - 4*a, -5*j - 2*a = a + 172. Let u = j - -37. Let p(h) = u*l(h) + 7*s(h). Factor p(c).
-(c - 1)*(2*c + 1)
Factor 6453*v - 3231*v - 5*v**3 + v**3 + 544*v**2 - 3222*v.
-4*v**2*(v - 136)
Let w(i) = -43*i**2 - 1065*i + 1036. Let n(z) = -74*z**2 - 2125*z + 2073. Let d(k) = 4*n(k) - 7*w(k). Factor d(s).
5*(s - 208)*(s - 1)
Let s = -367 - -369. Find n, given that -552*n**3 - 552*n**3 + 10*n**4 - 16*n + 1122*n**3 - 34*n**s + 24 - 2*n**5 = 0.
-2, -1, 1, 6
Let h(w) = -w**3 - 6*w**2 - 7*w + 7. Let o be h(-4). Factor 3*g + 251*g**4 - 248*g**4 + o*g**2 - 3*g + 6*g**3.
3*g**2*(g + 1)**2
Suppose 83 = z + 5*b, 4*z + 41663 = 5*b + 41595. Factor 8*f - 16/3 + 1/3*f**z - 3*f**2.
(f - 4)**2*(f - 1)/3
Let v(t) be the third derivative of 1/22*t**4 + 0*t - 7*t**2 - 1/330*t**5 + 0 + 0*t**3. Determine x so that v(x) = 0.
0, 6
Let a(s) be the third derivative of 49/96*s**4 + 0 - 20*s**2 + 1/1440*s**6 - 7/240*s**5 + 0*s + 7/2*s**3. Let j(v) be the first derivative of a(v). Factor j(y).
(y - 7)**2/4
Let b(i) be the third derivative of 23*i**6/720 - 3*i**5/32 - i**4/96 - 17*i**3/3 - 108*i**2. Let s(p) be the first d