 - 2*g + 397. Find p such that m(p) = 0.
-27, -1, 2/3, 2
Let k = 823878800688509/80895 - 10184545407. Let j = 2/5393 - k. What is c in 8/3 - 2/15*c**3 + 32/15*c + j*c**2 = 0?
-2, 5
Let g(a) = 16*a + 237. Let n be g(-10). Factor -4*r**2 + 26*r**3 - 102*r**3 + n*r**3.
r**2*(r - 4)
Let w = -9095 + 18191/2. Let g(q) be the third derivative of 8/3*q**3 + w*q**4 - 1/15*q**5 + 0*q + 0 - 7*q**2. Determine o, given that g(o) = 0.
-1, 4
Let k(l) be the first derivative of l**4/22 + 32*l**3/33 + 85*l**2/11 + 300*l/11 - 125. Let k(y) = 0. What is y?
-6, -5
Let j(o) = -171*o**2 + 249*o - 2190. Let x(q) = -8*q**2. Let t(c) = -j(c) + 21*x(c). Factor t(b).
3*(b - 73)*(b - 10)
Let r = -173 + 275. Suppose 4*g = 3*g + r. Factor -g*z + z**2 + 97*z + 4 + 0.
(z - 4)*(z - 1)
Let m(o) = -o**3 - o**2. Let c = -5 + 2. Let p(s) = -438*s**2 - 2 + 4 + s**3 + 444*s**2 - 5*s. Let b(k) = c*p(k) - 6*m(k). Solve b(z) = 0 for z.
1, 2
Let p(l) be the first derivative of -221 - 21/10*l**2 - 6/5*l - 3/5*l**3. Factor p(r).
-3*(r + 2)*(3*r + 1)/5
Let z(n) = 440*n**2 - 647*n - 1332. Let x(r) = 251*r**2 - 323*r - 666. Let c(i) = 7*x(i) - 4*z(i). Factor c(a).
-3*(a - 111)*(a + 2)
Suppose 12*q = 11*q + j - 2, 5*j = 0. Let r be (-3)/45*(-5 - q). Let 1/5*w + 0 + r*w**3 - 2/5*w**2 = 0. Calculate w.
0, 1
Let f = -19111/60 - -956/3. Let u(m) be the second derivative of 1/2*m**4 + 0 - 1/20*m**6 + 19*m - 2*m**3 + f*m**5 + 0*m**2. Factor u(i).
-3*i*(i - 2)**2*(i + 2)/2
Factor -14848/3 - 5824/3*v - 1/6*v**4 - 264*v**2 - 41/3*v**3.
-(v + 8)**3*(v + 58)/6
Let c(k) = -10*k + 105. Let o be c(10). Let t(h) = -h**2 - 10*h - 5. Let d be t(-9). Determine a so that 0 - 2 + o + d*a - 5 - 2*a**2 = 0.
1
Solve -2/7*a**4 + 0 + 0*a - 244/7*a**2 + 18*a**3 = 0 for a.
0, 2, 61
Let f(c) be the second derivative of -31*c**7/42 - 26*c**6/5 - 71*c**5/5 - 113*c**4/6 - 23*c**3/2 - c**2 + 1362*c - 1. Determine x, given that f(x) = 0.
-2, -1, -1/31
Let o(p) be the second derivative of -p**5/10 - 4*p**4 - 37*p**3 + 136*p**2 - 48*p + 13. Find h, given that o(h) = 0.
-17, -8, 1
Suppose 686*h - 7986 + 6614 = 0. Factor -16/5*n - 2/5*n**h + 18/5.
-2*(n - 1)*(n + 9)/5
Let n = -352944 + 352946. Factor 4*f - 7/2 - 1/2*f**n.
-(f - 7)*(f - 1)/2
Let -26912/5 - 9584/5*k**2 - 18/5*k**4 - 29696/5*k - 768/5*k**3 = 0. What is k?
-58/3, -2
Let r(q) be the first derivative of 5*q**4/12 + 45*q**3 + 3645*q**2/2 - 6*q - 79. Let j(y) be the first derivative of r(y). Let j(z) = 0. What is z?
-27
Let d(t) = -242*t - 34604. Let k be d(-143). Find l, given that 0 - 2/3*l**4 + 14/3*l**k + 0*l**3 - 4*l = 0.
-3, 0, 1, 2
Let i be -5 + (147/(-490))/((-252)/4630). Let l = -1/84 + i. Factor -1/4*y**4 - l - 1/4*y + 1/4*y**3 + 3/4*y**2.
-(y - 2)*(y - 1)*(y + 1)**2/4
Let o = -640 + 651. Suppose -6*k + 5*f = -2*k - 3, o = 3*k + 5*f. Factor 1/4*i**5 + 1/4*i**4 + 0*i - i**k - i**3 + 0.
i**2*(i - 2)*(i + 1)*(i + 2)/4
Suppose 8*u - 168 = -7*u + 72. Let t(s) be the second derivative of -6*s**4 + 8*s - u*s**2 + 0 - 2/15*s**6 + 7/5*s**5 + 40/3*s**3. Factor t(o).
-4*(o - 2)**3*(o - 1)
Let a(z) be the third derivative of -1/30*z**6 + 0 + 0*z + 11*z**2 - 13/15*z**5 - 23/6*z**4 - 22/3*z**3. Factor a(p).
-4*(p + 1)**2*(p + 11)
Let q(i) be the third derivative of -61/6*i**4 + 242*i**2 + 3721/3*i**3 + 0*i + 1/30*i**5 + 0. Factor q(f).
2*(f - 61)**2
Let k(l) be the first derivative of 2*l**3/9 - 229*l**2/3 - 3304*l/3 + 12639. Determine s, given that k(s) = 0.
-7, 236
Let j(s) be the first derivative of s**6/3 - 108*s**5/5 + 78*s**4 - 308*s**3/3 + 51*s**2 - 1256. Let j(x) = 0. Calculate x.
0, 1, 51
Factor -17/8*m + 9/2*m**2 - 35/2.
(4*m + 7)*(9*m - 20)/8
Let a(m) be the first derivative of m**4/12 + 3*m**3 - 62*m**2/3 + 2205. Find g, given that a(g) = 0.
-31, 0, 4
Let q(m) = -m**4 + m**3 - m**2 - m. Let t(w) = -4*w**5 + 34*w**4 - 26*w**3 - 46*w**2 + 30*w. Let l(z) = 6*q(z) - t(z). Factor l(f).
4*f*(f - 9)*(f - 1)**2*(f + 1)
Let b be 66/(-99) - 15/(-10). Let h = -6 + 9. Factor 1/2 + 1/3*d**2 - d**h - b*d**4 - 1/6*d**5 + 7/6*d.
-(d - 1)*(d + 1)**3*(d + 3)/6
Let d(o) be the second derivative of -1/70*o**5 + 1/21*o**3 + 0 - 1/42*o**4 + 23*o + 1/7*o**2. Factor d(l).
-2*(l - 1)*(l + 1)**2/7
Let i(x) = x**2 + 12*x - 1. Let o be i(-10). Let p = -18 - o. Factor -85*j**p + 171*j - 168*j**2 + 191*j**3 - 79*j**3 - 30.
3*(j - 5)*(j - 1)*(9*j - 2)
Let q(f) be the third derivative of -1/12*f**5 + 0*f + 0*f**3 - 24*f**2 - 5/6*f**4 + 0. Suppose q(b) = 0. Calculate b.
-4, 0
Let i be 21/18 + 2/(-3). Let b = -1069 + 1069. Suppose -i*q**3 + 1/2*q + 0*q**2 + b = 0. Calculate q.
-1, 0, 1
Let b be (-4 - 159/(-21)) + 211/(-211). Factor -12/7 - 3/7*x**3 - b*x**2 - 27/7*x.
-3*(x + 1)**2*(x + 4)/7
Let h(v) be the first derivative of v**5/10 + v**4/3 - 5*v**3 - 36*v**2 - 122*v + 10. Let x(t) be the first derivative of h(t). Factor x(j).
2*(j - 4)*(j + 3)**2
Let n(t) be the second derivative of t**7/21 + t**6/6 - 3*t**5/20 + 1471*t. Determine i so that n(i) = 0.
-3, 0, 1/2
Let c(w) be the first derivative of -5*w**6/2 + 39*w**5/5 + 9*w**4/2 + 1319. What is o in c(o) = 0?
-2/5, 0, 3
Let t(u) be the first derivative of -3*u**5/20 - 483*u**4/8 - 8586*u**3 - 446148*u**2 + 1889568*u + 996. Factor t(d).
-3*(d - 2)*(d + 108)**3/4
Let b(y) = 4*y. Let n(z) = -z**2 + 13*z + 84. Let f(x) = 2*b(x) - n(x). Determine l, given that f(l) = 0.
-7, 12
Let s = -1/2471 + 7415/4942. Let m(a) be the first derivative of -4*a**3 - 1 + 0*a - s*a**2 - 3*a**4. Factor m(d).
-3*d*(2*d + 1)**2
Let s = 7/2347 + 16401/9388. Let o be 5/2 + (-3 - -2). Determine w so that s*w - o - 1/4*w**2 = 0.
1, 6
Factor -34*j + 4*j**3 - 96/5 - 1/5*j**4 - 53/5*j**2.
-(j - 16)*(j - 6)*(j + 1)**2/5
Let v = -221 - -224. Factor 80*u + 223*u**3 - 100*u**2 - 422*u**3 + 239*u**v - 5*u**4.
-5*u*(u - 4)*(u - 2)**2
Suppose 0 = -3*a + 3, 0 = 221*o - 219*o - a - 3. Let g(c) be the first derivative of 0*c**o - 1/27*c**3 - 1 + 1/9*c. Factor g(u).
-(u - 1)*(u + 1)/9
Factor 0 + 2/9*x**3 - 4/3*x + 10/9*x**2.
2*x*(x - 1)*(x + 6)/9
Let j = 8969 - 8964. Let s(z) be the first derivative of 5/6*z**6 + 0*z**2 - 24 - 3*z**j + 20/3*z**3 + 0*z + 0*z**4. What is t in s(t) = 0?
-1, 0, 2
Factor -5*j**5 - 260*j**2 - 34*j**4 + 18*j**4 - 890*j**3 - 29*j**4 + 1130*j**3.
-5*j**2*(j - 2)**2*(j + 13)
Find z such that -21805000/9*z + 4/9*z**4 + 123200/3*z**2 - 2104/9*z**3 + 21437500/9 = 0.
1, 175
Let m = 48 - 43. Suppose -2*i - 2*i + 2 = 2*h, 0 = -5*i - m. Let -2*c**h + 78*c**2 + 1087 - 927 + 3704 - 1014*c + 530 = 0. Calculate c.
13
Let p be 26/(-39) + 740/68. Let c = -168/17 + p. Factor -c*i**3 + 0 - 1/3*i**2 + 0*i.
-i**2*(i + 1)/3
Let p = -41920 + 167689/4. Solve -3/8*j**2 + 21/8*j - p = 0 for j.
1, 6
Let n = 162/259 - 2/37. Suppose 0 = 586*r - 574*r - 36. Solve n*u - 16/7*u**r - 10/7*u**4 - 2/7*u**2 + 0 = 0 for u.
-1, 0, 2/5
Let j(g) be the first derivative of 5/16*g**4 + 0*g - 5/2*g**2 - 32 - 5/4*g**3. Factor j(n).
5*n*(n - 4)*(n + 1)/4
Suppose -45*w + 180 = -27*w. Suppose b + 2*t = 6, -3*b = 2*t - 0*t - w. Factor -1/9*z - 2/3 + 1/9*z**b.
(z - 3)*(z + 2)/9
Let t(w) be the third derivative of -31*w**6/30 + 188*w**5/15 - 2*w**4 + 8*w**2 + 52. Let t(l) = 0. Calculate l.
0, 2/31, 6
Let g(b) be the third derivative of 5*b**8/336 + b**7/21 - b**6/3 + 4*b**2 + 265*b. Determine d so that g(d) = 0.
-4, 0, 2
Let g be -9 + 5 + 2 - -15. Suppose 5*d + g = -q, d - 3 + 8 = q. Factor 5*h**5 - 2*h**5 + 62*h**2 + 9*h**3 - 59*h**q + 9*h**4.
3*h**2*(h + 1)**3
Let b be 2/(-6) + (-116209)/(-237). Let c = 492 - b. Factor 0 - 2/5*f**c + 4/5*f.
-2*f*(f - 2)/5
Find r such that -22/5*r**4 + 0 + 0*r + 1/5*r**5 - 27*r**3 + 0*r**2 = 0.
-5, 0, 27
Let y = 298 + -296. Let 12*v**y + 90*v**3 - 45*v - 45*v**5 + 9*v**4 + v**4 - 32*v**2 + 10 = 0. What is v?
-1, 2/9, 1
Let q = 2969/28 - 716/7. Let d(y) be the first derivative of -y**5 - 5/2*y**2 - q*y**4 - 5*y**3 - 11 + 0*y. Solve d(p) = 0.
-1, 0
Let w be (-2)/(-2) + 499 + 0/(-397). Let o be (3/(-15))/((-8)/w) - 1. What is q in 0 + 5*q**3 + o*q**2 + 6*q - 1/2*q**4 = 0?
-1, 0, 12
Let f be ((-9)/27)/(2*2/132). Let l(z) = -z**2 - 9*z + 26. Let q be l(f). What is j in 9*j**3 - 5*j**q + 23*j**3 + 4*j**2 - 2*j + 25*j**4 - 6*j = 0?
-1, 0, 2/5
Let u(m) be the first derivative of 34 - 5/3*m**3 + 15/2*m**2 + 0*m. Let u(v) = 0. Calculate v.
0, 3
Let x = 61/1313 - -3634/6565. Su