se -7*v + 244 = 251. Let p be 6/9 + 1 + v. Determine m, given that -7/3*m - 4/3 + p*m**2 = 0.
-1/2, 4
Let a(m) be the first derivative of -m**4/3 - 2*m**3 - 31*m + 14. Let z(i) be the first derivative of a(i). Factor z(x).
-4*x*(x + 3)
Let i(x) be the first derivative of -7*x**5/25 - 69*x**4/10 - 17*x**3/5 + 412*x**2/5 - 228*x/5 + 9228. Determine s, given that i(s) = 0.
-19, -3, 2/7, 2
Suppose -5*d = 88*u - 93*u - 35, 0 = -2*d - 10*u - 46. Suppose -2/5*y**3 - 2/15*y**d + 4/15*y + 2/15*y**4 + 0 + 2/15*y**5 = 0. Calculate y.
-2, -1, 0, 1
Let k(m) be the third derivative of m**6/200 + 63*m**5/20 + 157*m**4/20 + 5*m**2 - 556*m. Let k(t) = 0. Calculate t.
-314, -1, 0
Let l(s) be the third derivative of s**6/360 - 41*s**5/180 + 73*s**4/24 - 35*s**3/2 + 3*s**2 - 532. Factor l(b).
(b - 35)*(b - 3)**2/3
Suppose 4*q - 37 = 5*u, 9*u - 10 = 11*u. Factor -4*x**4 - 15*x**q - 7*x**3 - x**2 + 27*x**3.
-x**2*(x - 1)*(4*x - 1)
Let i(v) be the third derivative of v**6/180 + 67*v**5/90 + 16*v**4/3 - 1395*v**2 - 2*v. Factor i(s).
2*s*(s + 3)*(s + 64)/3
Let p(f) be the third derivative of f**6/600 + 11*f**5/300 - 161*f**4/120 - 57*f**3/10 - 15*f**2 + 67*f. Solve p(i) = 0 for i.
-19, -1, 9
Suppose 0 = 4*g + h + 139 - 157, -3*g + 2*h = 14. Factor -8/11 - 18/11*u**g + 2/11*u**4 - 2/11*u**3 - 2*u.
2*(u - 4)*(u + 1)**3/11
Let -6/7*c**4 - 1768/7*c - 4468/7*c**2 - 194*c**3 + 3568/7 = 0. What is c?
-223, -2, 2/3
Let n = 1362490 + -1362487. Factor -38/7*a**2 + 50/7*a**n - 2/7 - 32/7*a**4 + 2*a + 8/7*a**5.
2*(a - 1)**3*(2*a - 1)**2/7
Let m(f) be the third derivative of f**6/180 + 179*f**5/30 + 32041*f**4/12 + 5735339*f**3/9 + 405*f**2 - 2. Factor m(c).
2*(c + 179)**3/3
Let o be ((-216)/6)/((-7)/7). Let z = 39 - o. Determine p, given that -1/2*p**z + 0*p**2 + 1 + 3/2*p = 0.
-1, 2
Factor 7/4*a**3 - 1/4*a**4 + 69/4*a**2 + 117/4*a + 0.
-a*(a - 13)*(a + 3)**2/4
Let m(f) be the first derivative of f**3/24 - 7*f**2/8 - 15*f/8 - 2439. Determine r so that m(r) = 0.
-1, 15
Suppose 30*i - 28*i + 4*r = 64, 3*i - 5*r - 30 = 0. Let x(b) be the second derivative of -1/48*b**4 + 1/2*b**2 - i*b + 0 + 0*b**3. Find a, given that x(a) = 0.
-2, 2
Let r(m) = 3*m**4 + 22*m**3 + 73*m**2 - 94*m + 6. Let j(n) = -n**4 - n**3 + 2*n**2 - 2*n - 3. Let c(z) = -6*j(z) - 3*r(z). Factor c(o).
-3*o*(o - 1)*(o + 7)*(o + 14)
Let a(c) be the first derivative of 13*c**4/2 - 394*c**3/15 + 6*c**2/5 + 453. Factor a(f).
2*f*(f - 3)*(65*f - 2)/5
Factor -1543 - 980*b + 1127 - 2*b**2 - 232*b + 2852 - b**2.
-3*(b - 2)*(b + 406)
Let g be (9 + -7)/((-4)/477). Let c = g + 240. Determine v, given that -1/2*v**2 - 2*v - c = 0.
-3, -1
Let f be 306/1377 - 44/(-126). Let q be 2/(-7)*(-21 + 13). Factor 0 - q*z**4 - 24/7*z**3 - f*z**5 - 16/7*z**2 - 4/7*z.
-4*z*(z + 1)**4/7
Let w(x) be the third derivative of 35*x**2 - 1/72*x**6 + 0*x**3 + 0 - 1/45*x**5 - 1/315*x**7 + x - 1/72*x**4. Suppose w(n) = 0. Calculate n.
-1, -1/2, 0
Suppose 0 = -a - 2*d + 2, -29 + 44 = 3*a - 3*d. Let y(o) be the second derivative of 3/40*o**5 + 1/8*o**a + 0 - 7*o - 5/4*o**3 + 9/4*o**2. Factor y(p).
3*(p - 1)**2*(p + 3)/2
Let a(l) be the third derivative of l**5/300 - l**4/10 + 9*l**3/10 - 1109*l**2. Solve a(h) = 0.
3, 9
Let q(i) = -2*i**3 - 18*i**2 - 39*i + 5. Let l be q(-5). Factor -12/5*k**3 + 3*k**4 - 4/5*k**5 + l*k - 4/5*k**2 + 0.
-k**2*(k - 2)**2*(4*k + 1)/5
Let j = 337241/4 - 84310. What is r in r**2 + r**3 + 0*r + 0 + j*r**4 = 0?
-2, 0
Let s(t) = -t**2 - 25*t - 147. Let v be s(-15). Let h(a) be the third derivative of 10*a**2 - 1/6*a**v + 0*a**4 + 0 + 1/60*a**5 + 0*a. Factor h(n).
(n - 1)*(n + 1)
Suppose -19*i + 110*i - 455 = 0. Let a(w) be the third derivative of 1/3*w**i + 0 - 25/24*w**4 + 6*w**2 - 1/24*w**6 + 0*w + 5/3*w**3. Factor a(z).
-5*(z - 2)*(z - 1)**2
Let x(f) be the second derivative of f**4/24 - 1591*f**3/48 - 1595*f**2/16 + 9630*f. Find u such that x(u) = 0.
-1, 1595/4
Factor -76/11*g + 26/11 - 6/11*g**2.
-2*(g + 13)*(3*g - 1)/11
Let n be (-32)/(-20)*(-269)/(-2152). Solve -1089/5 - 66/5*o - n*o**2 = 0.
-33
Let 24832*f + 252452*f**3 + 30787*f**2 - 26040*f**3 - 32378*f**4 + 2048 + 202716*f**4 + 81821*f**2 = 0. What is f?
-8/23, -2/7
Let c(m) be the third derivative of -5/12*m**4 + 1/48*m**5 + 0 + 10/3*m**3 + 0*m + 64*m**2. Let c(k) = 0. What is k?
4
Let o(v) be the first derivative of -3*v**6/2 + 119*v**5/5 + 97*v**4 + 196*v**3/3 - 32*v**2 - 1160. Find z such that o(z) = 0.
-2, -1, 0, 2/9, 16
Let l(p) be the second derivative of 0 + 1/3*p**3 + 0*p**2 - 28*p + 1/54*p**4. Let l(f) = 0. What is f?
-9, 0
Let d(w) = 8*w**3 + 165*w**2 + 55*w. Let x(l) = -7*l**3 - 165*l**2 - 44*l. Let c(g) = 4*d(g) + 5*x(g). Find f such that c(f) = 0.
-55, 0
Let u(s) be the third derivative of -41*s**5/30 + 11*s**4/12 - 8*s**2 + 2*s - 40. Factor u(j).
-2*j*(41*j - 11)
Let d be 180/40*(-1 - -3). Factor -8*z - 2*z**2 - 11*z**2 + d*z**3 + 4*z**4 - z**5 + 3*z**4 + 6*z**2.
-z*(z - 8)*(z - 1)*(z + 1)**2
Let i(p) be the second derivative of p**6/360 + p**5/24 + p**4/4 - 13*p**3 + 36*p. Let a(c) be the second derivative of i(c). Determine o, given that a(o) = 0.
-3, -2
Let w(x) be the third derivative of -x**4 + 0*x**3 + 0 + 0*x + 19/30*x**5 + 1/336*x**8 - 1/40*x**6 - 2/35*x**7 - 95*x**2. Let w(f) = 0. Calculate f.
-2, 0, 1, 12
Suppose 216*u**2 + 570 - u**3 - 997 - 48*u + 483*u + 645 = 0. What is u?
-1, 218
Suppose -15*n + 5*n = 10. Let x be ((-54)/(-15))/(n/((-1)/2)). Determine s, given that 0 - 3*s**2 + 3/5*s**4 - x*s - 3/5*s**3 = 0.
-1, 0, 3
Let k(z) be the first derivative of z**3 - 1194*z**2 + 475212*z - 254. Factor k(h).
3*(h - 398)**2
Factor 176*q**2 - 110940 - 39560*q - 40*q**3 + 35*q**3 - 629*q**2 - 634*q**2 + 212*q**2.
-5*(q + 3)*(q + 86)**2
Let u = 20/71 + -49/426. Let t(b) be the second derivative of 1/20*b**5 - 1/6*b**3 + u*b**4 - 5*b - b**2 + 0. Determine m so that t(m) = 0.
-2, -1, 1
Let v = -132 + 136. Suppose 2*q + 4 = v*q. Let 2*b**2 + 25*b - 30 + b**q - 8*b**2 + 0*b**2 = 0. Calculate b.
2, 3
Let k(m) be the first derivative of 10*m + 0*m**3 - 1/6*m**6 - 5/6*m**4 - 6 + 0*m**2 + 3/4*m**5. Let z(n) be the first derivative of k(n). Factor z(w).
-5*w**2*(w - 2)*(w - 1)
Let o(q) be the third derivative of -q**5/60 + q**4/6 + 4*q**3/3 + 10*q**2. Let y be o(5). Factor 40 - 4*c**y - 10*c**4 - 12*c**3 - 2*c**2 + 4*c - 40.
-2*c*(c + 1)**2*(5*c - 2)
Let h(i) = -4*i**2 + 109*i + 101. Let r(k) = 18*k**2 - 544*k - 506. Let d = -512 + 526. Let p(v) = d*h(v) + 3*r(v). Let p(u) = 0. Calculate u.
-52, -1
Solve 62/11*p**3 - 156/11 - 488/11*p**2 + 8/11*p**4 + 742/11*p = 0 for p.
-13, 1/4, 2, 3
Suppose -27*c + 15 = -22*c. Factor s**3 - 4*s**c + 20*s + 8*s**2 + 8*s**3 + 17*s**2.
5*s*(s + 1)*(s + 4)
Factor -2592/11 + 414/11*q - 2/11*q**3 + 4/11*q**2.
-2*(q - 9)**2*(q + 16)/11
Factor 40 + 23*u + 1/2*u**2 - 1/2*u**3.
-(u - 8)*(u + 2)*(u + 5)/2
Suppose 1/2*s**2 + 234*s + 27378 = 0. Calculate s.
-234
Let k be 30/(-1 + 3 - 0). Suppose -18*i + k*i = -2*w + 16, 5*w + i = 6. Factor -50 + t**w - 35*t + 0*t**2 - 6*t**2.
-5*(t + 2)*(t + 5)
Let h = -330154/3 - -110062. Suppose -50/3*i**2 + h*i + 2/3*i**5 - 14/3*i**4 - 8/3 + 38/3*i**3 = 0. Calculate i.
1, 2
Let r be 2/(-160)*-26 + (-408591)/7992 + (-153)/(-3). Factor 12/5 + r*i**3 - 8/5*i - 1/5*i**2.
(i - 2)**2*(i + 3)/5
Let p(f) be the third derivative of 0*f**3 - 6 + 59/200*f**6 + 3/20*f**4 + 0*f - 6*f**2 + 1/80*f**8 + 37/350*f**7 + 7/20*f**5. Let p(n) = 0. Calculate n.
-3, -1, -2/7, 0
Let u(t) = t**3 + 17*t**2 + 16*t. Suppose 4*r + 84 = -4*k, 23 = -4*r + r + 5*k. Let i be u(r). Determine v so that -v + 2*v**2 + i*v - 2 + 2*v**3 + 0*v - v = 0.
-1, 1
Let d(w) be the second derivative of 21 + 0*w**3 + 0*w**2 - 2*w - 1/42*w**7 + 0*w**5 - 1/30*w**6 + 0*w**4. Factor d(m).
-m**4*(m + 1)
Factor -237 - 70*y**2 - 179 - 117*y**2 - 1464*y + 159*y**2.
-4*(y + 52)*(7*y + 2)
Let z be (-1064)/(-30) - (140/(-75))/14. Let g = -351/10 + z. Factor 3/4*h**2 + 0 + 0*h**3 - g*h - 1/4*h**4.
-h*(h - 1)**2*(h + 2)/4
Factor -50*h - 10709 - 10775 + 5*h**2 + 21564.
5*(h - 8)*(h - 2)
Let d = -12400/21 + 4134/7. What is a in -26/21 - d*a**5 + 4/21*a**3 - 2/21*a - 26/21*a**4 + 52/21*a**2 = 0?
-13, -1, 1
Let h = 7/284 - 349/17040. Let a(j) be the third derivative of 5*j**2 - 1/48*j**4 + 0 - 1/60*j**5 + 0*j**3 - h*j**6 + 0*j. Determine m, given that a(m) = 0.
-1