2*h**5/15 + 17*h**4/24 + 13*h**3/9 - h**2 + 488*h. Determine a, given that q(a) = 0.
-1, 26
Let o(c) be the first derivative of -3*c**5/5 - 9*c**4/4 + 360*c**3 - 3450*c**2 + 4973. Factor o(g).
-3*g*(g - 10)**2*(g + 23)
Let i be (-1)/(-10 + (-276)/(-28)). Let l(d) be the second derivative of -2/11*d**3 + 0 + 3/11*d**2 + 1/22*d**4 - i*d. Factor l(r).
6*(r - 1)**2/11
Let i(x) be the third derivative of 1/6*x**4 + 0*x + 7/9*x**3 + 24*x**2 - 1/90*x**5 + 0. Let i(h) = 0. What is h?
-1, 7
Let d = -754239/10 - -377162/5. Factor 9*c**2 - d*c + 1/4*c**4 - 7/2*c**3 + 11/4.
(c - 11)*(c - 1)**3/4
Let v(a) be the second derivative of -a**4/3 - 194*a**3/3 - 744*a**2 + 145*a + 4. Factor v(i).
-4*(i + 4)*(i + 93)
Let m(x) be the first derivative of -3*x**2 - 21*x - 3. Let h be m(-11). Solve 10*j + h*j**5 + 58*j**2 + 165*j**3 + 40*j**2 + 145*j**4 - 23*j**2 = 0 for j.
-1, -2/9, 0
Let y(d) be the second derivative of 82*d + 0 + 0*d**2 + 0*d**3 - 2/15*d**6 - 4/3*d**4 + 4/5*d**5. Factor y(s).
-4*s**2*(s - 2)**2
Let a(m) = 2*m**2 + 8*m - 12. Let w be a(3). Suppose 4*c + 14 = w. Let 2/7*o**5 + 32/7*o + 0 + 66/7*o**3 + 80/7*o**2 + 20/7*o**c = 0. Calculate o.
-4, -1, 0
Let v(s) = -s**2 + 370*s + 4191. Let t be v(381). Let o be (-22)/(-63) + 6/27. Find j, given that o*j**2 + t + 2/7*j**3 + 2/7*j = 0.
-1, 0
Let b(o) be the third derivative of -o**8/168 - 38*o**7/105 + o**6/30 + 38*o**5/15 - o**4/12 - 38*o**3/3 + 1137*o**2. What is n in b(n) = 0?
-38, -1, 1
Let k(t) be the first derivative of t**7/1050 - t**6/90 - t**5/25 - 56*t**3/3 + 22. Let c(u) be the third derivative of k(u). Let c(z) = 0. Calculate z.
-1, 0, 6
Let x(u) be the second derivative of u**7/294 - 7*u**6/30 + 327*u**5/140 + 1015*u**4/12 + 3364*u**3/21 - 3*u + 307. Suppose x(v) = 0. What is v?
-8, -1, 0, 29
Let w = 162758 + -162756. Determine o so that 0 + 0*o + 0*o**w - 3/5*o**3 = 0.
0
Let z(u) = u**3 + 3*u**2 + 2*u + 1. Let i(a) = 38*a**3 + 44*a**2 - 207*a - 176. Let j(c) = -2*i(c) + 74*z(c). Factor j(d).
-2*(d - 71)*(d + 1)*(d + 3)
Let c be (4 - 5)*(-96 + 11). Let -153 + 5*t**3 - c*t + 127 + 71 + 35*t**2 = 0. Calculate t.
-9, 1
Let u = -19 - -23. Suppose -u = c - 2*b, 3*c + 2*c + 2*b = 28. Factor -3*h**2 + 2*h**3 + 3*h - 2*h**2 + 6*h**2 - c*h.
h*(h + 1)*(2*h - 1)
Let a = 743/402 - -4352/201. Factor 2*y**2 - 189/2*y + a.
(y - 47)*(4*y - 1)/2
Let b(s) be the third derivative of s**6/300 + 19*s**5/150 - 2200*s**2. Factor b(g).
2*g**2*(g + 19)/5
Let t(q) be the first derivative of q**7/5460 - q**6/468 + 7*q**5/780 - q**4/52 + q**3/3 + 67*q + 5. Let i(j) be the third derivative of t(j). Factor i(n).
2*(n - 3)*(n - 1)**2/13
Let b(t) be the first derivative of -19/8*t**2 - 1/3*t**3 - 22 + 5/4*t. Factor b(d).
-(d + 5)*(4*d - 1)/4
Find n, given that 403*n - 303*n - 4*n**3 - 260*n - 188*n**2 + 1104 = 0.
-46, -3, 2
Let k(t) = -t**3 - t**2 - 19*t - 5. Let h be ((-80)/(-15) - 4/(-6)) + -1. Let f(u) = u**3 + 4*u**2 + 28*u + 7. Let d(b) = h*f(b) + 7*k(b). Factor d(v).
-v*(v - 7)*(2*v + 1)
Let t be (0 + 43)*(4 + 17/2). Let c = 542 - t. Factor 3*r + 5/4*r**3 - c*r**2 + 2.
(r - 2)**2*(5*r + 2)/4
Suppose 38*w**4 - 178*w**4 + 276*w**3 - 125*w**2 + 233*w**2 + 12*w**5 = 0. Calculate w.
-1/3, 0, 3, 9
Let i(l) be the first derivative of -l**4/14 - 152*l**3/21 + 235*l**2/7 - 316*l/7 - 561. Find n such that i(n) = 0.
-79, 1, 2
Let k(f) = -f**4 - 37*f**3 - 646*f**2 - 2820*f + 3560. Let w(h) = h**3 + h**2 + h + 4. Let s(a) = -k(a) + 8*w(a). Factor s(r).
(r - 1)*(r + 14)**2*(r + 18)
Let x be ((-14)/(-4))/((-68)/(-3264)). Determine z so that 2*z - x*z**2 - 162*z**2 + 326*z**2 = 0.
0, 1/2
Solve 14/3*o**4 - 576*o**2 - 2/15*o**5 - 32*o**3 - 179712/5 + 9216*o = 0.
-13, 12
Suppose -2*n = 5*u + 24, 2*n = -4*u - 7 - 15. Let j(r) = r**3 + 10*r**2 - 7*r - 5. Let s be j(n). Factor -s*v**2 - v**5 + 2 + 187*v**2 + 4*v**3 - 2 + v**4.
-v**2*(v - 2)*(v - 1)*(v + 2)
Let x(p) be the first derivative of -5*p**4/4 + 590*p**3/3 + 2480*p**2 + 10080*p + 4600. What is o in x(o) = 0?
-4, 126
Suppose i = 2, l - 3*i = 4*l - 231. Let -l + 33 + 36 + m + m**2 = 0. What is m?
-3, 2
Let c(b) be the first derivative of -b**3 - 1830*b**2 - 1116300*b - 433. Determine w, given that c(w) = 0.
-610
Factor 34/9*h + 32/9 + h**2.
(h + 2)*(9*h + 16)/9
Let v(h) be the first derivative of h**5/330 + 35*h**4/132 + 34*h**3/33 - 87*h**2 + 108. Let j(m) be the second derivative of v(m). What is i in j(i) = 0?
-34, -1
Let t(f) = 3*f**2 + 46*f + 116. Let a be t(-3). Factor -1/3*w**2 - 16/3*w - a.
-(w + 1)*(w + 15)/3
Let c(g) be the second derivative of -5*g**4/12 + 1175*g**3/6 - 1165*g**2 + 1161*g. Solve c(d) = 0.
2, 233
Let w be (-35)/(-15) + -2 + (-2)/(-3). Suppose -2*v + 2*x = -12, -3 + w = v + x. Factor -v*p**3 - 3*p**5 + 4*p**5 + 9*p**4 - 10*p**4.
p**3*(p - 2)*(p + 1)
Suppose 9504 = 9*v + 9234. Let p(w) be the third derivative of -1/12*w**6 + 0*w - v*w**3 + 29*w**2 + 0 - 25/12*w**5 - 35/2*w**4. Suppose p(y) = 0. Calculate y.
-6, -1/2
Let b be ((-20)/(-14))/((-9)/(-21)). Let l be (-12)/1*(-25 - (-14948)/333 - 20). Let -2/3 - b*s**2 + l*s**3 + 8/3*s = 0. What is s?
1/2, 1
Let -8 - 1/2*w**2 + 5*w = 0. Calculate w.
2, 8
Suppose 4*q - q = -51. Let z be (-1 + 1)*q/(-51). Factor 7 - 146*l - 2 + z + 156*l + 5*l**2.
5*(l + 1)**2
Suppose -11*o - 2*p - 442 = -14*o, -4*o + 571 = p. Let y be 60/o*3*12/10. What is w in y*w**4 - 1/2*w**3 - 3 - 17/2*w**2 - 19/2*w = 0?
-1, -2/3, 3
Let o(f) be the first derivative of -f**6/3 + 7*f**5/5 + 69*f**4/4 + 128*f**3/3 + 34*f**2 + 8331. Suppose o(j) = 0. What is j?
-2, -1, 0, 17/2
Let r(v) be the second derivative of -v**7/42 + v**6/5 + v**5/10 - 3*v**4 - v**3/6 + 15*v**2 + 1671*v. Let r(l) = 0. Calculate l.
-2, -1, 1, 3, 5
Let i = 346 + -313. Let f(b) = b**4 + 12*b**3 + 11*b**2. Let o(p) = 9*p**4 + 96*p**3 + 87*p**2. Let z(u) = i*f(u) - 4*o(u). Factor z(d).
-3*d**2*(d - 5)*(d + 1)
Let s(r) be the second derivative of -r**5/10 - 85*r**4/6 + 88*r**3 + 6969*r. Factor s(b).
-2*b*(b - 3)*(b + 88)
Suppose -98 - 94 = -32*o. Let n(v) be the third derivative of 8/3*v**3 - 2/3*v**4 - 11*v**2 + 0*v - 2/105*v**7 - 1/5*v**5 + 2/15*v**o + 0. Factor n(f).
-4*(f - 2)**2*(f - 1)*(f + 1)
Let i be ((-117)/(-26))/(1/2). Suppose 0 = 6*m - i - 3. Factor -2*n**2 + 4*n**2 - 5*n**m + 5*n**2.
2*n**2
Factor -152 + 1 + 7*j**2 - 22*j**2 - 205*j + 21.
-5*(j + 13)*(3*j + 2)
Find z, given that -79*z**2 - 79*z**2 + 1900 - 77*z**2 + 319*z**2 - 400*z - 80*z**2 = 0.
5, 95
Let n be -6 + 29 + (-216)/12. Let m(p) be the third derivative of 22*p**2 + 0 + 0*p + 2/105*p**6 - 16/21*p**3 + 1/735*p**7 + 1/14*p**n - 2/21*p**4. Factor m(o).
2*(o - 1)*(o + 1)*(o + 4)**2/7
Let a be ((-2553)/(-184) + -14)/(((-55)/(-420))/(-11)). Factor -93/2*i + a*i**2 + 36.
3*(i - 1)*(7*i - 24)/2
Let t(a) = 12*a**4 + 40*a**3 - 1032*a**2 + 752*a + 244. Let z(i) = i**4 - 5*i**3 - i**2 - i + 2. Let w(b) = -t(b) - 4*z(b). Determine l so that w(l) = 0.
-9, -1/4, 1, 7
Let 0 + 3/4*v**3 + 21/4*v**2 - 147/2*v = 0. Calculate v.
-14, 0, 7
Let t(o) be the second derivative of o**4/3 + 3692*o**3/3 + 1703858*o**2 - 318*o - 6. Factor t(m).
4*(m + 923)**2
Suppose -23*x = 26*x - 47*x. Let j(g) be the first derivative of x*g + 2/11*g**3 - 1/22*g**4 - 2/11*g**2 - 7. Find s such that j(s) = 0.
0, 1, 2
Let m(w) = 5*w**2 - 88*w + 611. Let a(n) = 7*n**2 - 83*n + 610. Let t(d) = -4*a(d) + 5*m(d). Solve t(p) = 0 for p.
-41, 5
Let j(c) be the second derivative of -2*c**7/525 + c**6/300 - 9*c**2/2 - 201*c. Let z(r) be the first derivative of j(r). Suppose z(t) = 0. Calculate t.
0, 1/2
Let c be 122/(-52) + 1 + -16*33/(-352). Solve -20/13*l - 18/13 - c*l**2 = 0.
-9, -1
Find h, given that 2/3*h**3 - 392/3*h - 5488/3 + 28/3*h**2 = 0.
-14, 14
Let t = -7752 + 7756. Let j(p) be the third derivative of -1/40*p**6 - 6/5*p**5 + 0*p + 0 - 19*p**2 - 24*p**t - 256*p**3. Let j(g) = 0. Calculate g.
-8
Let w be ((-35)/(-10))/1 - 6/4. Factor -2*k**4 - 10*k**3 + 3 + 3 - 6 + 4*k**2 + 8*k**w.
-2*k**2*(k - 1)*(k + 6)
Let d(u) be the first derivative of 3/16*u**2 + 97 - 3/32*u**4 + 3/2*u - 1/2*u**3. Factor d(k).
-3*(k - 1)*(k + 1)*(k + 4)/8
Suppose 658 - 1033 = 2*s - 127*s. Factor -12/5*t**4 + 3/5*t + 0 - 18/5*t**2 + 27/5*t**s.
-3*t*(t - 1)**2*(4*t - 1)/5
Suppose -12*t = 444 - 480. Let u(p) be the second derivative of -1/21*p**t + 0 + 11*p + 0*p**2 - 1/42*p**4