+ 9/2*q**2 - 11/10*q**3 = 0. Calculate q.
2, 3
Let j(q) be the first derivative of -154 + 0*q**2 + 0*q + q**4 + 8/3*q**3. Factor j(r).
4*r**2*(r + 2)
Let u be (-7212)/(-27) - ((-3)/(-27) - 0). Factor a**2 + 291 + 26*a - u + a**2.
2*(a + 1)*(a + 12)
Factor 678 - 450*k + 5*k**2 - 102 + 1559 - 237 + 227.
5*(k - 85)*(k - 5)
Suppose -5 = -4*a + 3. Solve 4*g - 5*g**2 + 17*g + 92 - 70 + 4*g**a = 0.
-1, 22
Suppose 17*a**4 + 460*a + 12*a**3 - 231*a**2 - 22*a**4 - 555*a**2 - 54*a**2 + 123*a**3 + 1440 = 0. What is a?
-1, 2, 8, 18
Let z be 42/1092 - (-3)/(-78). Let f(c) be the second derivative of 1/33*c**4 + 0*c**3 + c + 0 - 1/165*c**6 + z*c**2 + 1/110*c**5. Let f(u) = 0. Calculate u.
-1, 0, 2
Find o such that 159/5*o - 158/5 - 1/5*o**2 = 0.
1, 158
Let d(s) be the first derivative of s**5/5 - s**4/4 - 85*s**3/3 - 275*s**2/2 + 934. Determine x, given that d(x) = 0.
-5, 0, 11
Let a(q) be the first derivative of -q**5/30 + 23*q**4/24 - 58*q**3/9 - 35*q**2/3 + 10132. Factor a(b).
-b*(b - 14)*(b - 10)*(b + 1)/6
Let g be 1172434/1163310 + (-2 - (14/(-15) + -1)). Let -2/17*i**4 - 18/17 + 20/17*i**2 - 16/17*i**3 + g*i = 0. Calculate i.
-9, -1, 1
Let m(g) = 8*g**2 + 658*g - 18802. Suppose -5*u - 6*r + r = -30, -16 = -3*u - r. Let z(l) = 3*l**2 + 219*l - 6267. Let n(h) = u*m(h) - 14*z(h). Factor n(y).
-2*(y - 56)**2
Suppose 30 + 66 = -8*c. Let h(p) = p**3 + 13*p**2 + 12*p + 9. Let v be h(c). Find s such that -24*s**2 + 19*s**2 + 6 + 10*s + v = 0.
-1, 3
Suppose 0 = 5*v + 2*l + 845 - 5109, -4268 = -5*v - 4*l. Let b = -852 + v. Suppose 0*d + 1/6*d**2 + 3/4*d**3 + b + 1/3*d**4 = 0. Calculate d.
-2, -1/4, 0
Let l(n) be the second derivative of 0 + 25/6*n**3 + 42*n + 12*n**2 + 1/12*n**4. Factor l(y).
(y + 1)*(y + 24)
Let d(v) be the third derivative of -v**9/1680 - v**8/224 - 5*v**7/504 - 5*v**4/12 + 2*v**3/3 - 99*v**2. Let y(b) be the second derivative of d(b). Factor y(x).
-x**2*(3*x + 5)**2
Let x(p) be the third derivative of -3*p**5/20 + 67*p**4/8 - 95*p**3 - 49*p**2 - 7*p. Factor x(z).
-3*(z - 19)*(3*z - 10)
Let g(d) be the third derivative of d**6/2160 - 11*d**5/360 + 7*d**4/48 + 29*d**3/2 - 71*d**2. Let a(y) be the first derivative of g(y). Factor a(s).
(s - 21)*(s - 1)/6
Let g(z) be the third derivative of -z**5/60 - 1403*z**4/96 + 117*z**3/8 + 3589*z**2. Find q, given that g(q) = 0.
-351, 1/4
Find b, given that -8448*b**4 - 3772 + 8450*b**4 - 360*b**2 + 4*b**3 - 3024*b - 3140 = 0.
-6, 16
Let i be 13*(4224/(-286) + 15). Let p(b) be the second derivative of 0 + 1/3*b**2 + 23*b + 1/72*b**4 + 5/36*b**i. Factor p(w).
(w + 1)*(w + 4)/6
Let s be -2*82/(-684) - (-586)/(-2637). Let o(c) be the first derivative of 12 + 0*c**2 + 0*c**5 + 0*c**3 - s*c**6 + 0*c**4 + 0*c. Factor o(u).
-2*u**5/19
Let o(r) be the first derivative of r**6/10 + 153*r**5/20 + 156*r**4 - 338*r**3 - 21*r - 183. Let k(v) be the first derivative of o(v). Factor k(b).
3*b*(b - 1)*(b + 26)**2
Let b(k) = 120*k + 124. Let u be b(-1). Let w(g) be the first derivative of 1/20*g**5 + 6 - 3/8*g**2 + 3/16*g**u + g - 5/12*g**3. Suppose w(p) = 0. What is p?
-4, -1, 1
Let z(v) = -24*v**2 - 828*v + 28. Let s(k) = -19*k**2 - 662*k + 22. Let c(p) = 14*s(p) - 11*z(p). Factor c(m).
-2*m*(m + 80)
Let u = 176 + -5. Factor 32*s**2 + 192 - 3*s**3 + u + 37*s**2 + 13*s - 442*s.
-3*(s - 11)**2*(s - 1)
Let l(p) = 123*p**4 - 33*p**3 + 75*p**2 + 15*p - 72. Let n(y) = -7*y**4 + 2*y**3 + y**2 - y - 1. Let k(j) = -l(j) - 18*n(j). Suppose k(d) = 0. What is d?
-5, -1, 1, 6
Let a(z) be the second derivative of -z**7/210 - 7*z**6/120 - z**5/10 - 58*z**2 + 5*z - 2. Let w(y) be the first derivative of a(y). Factor w(f).
-f**2*(f + 1)*(f + 6)
Factor -a**2 + a**2 - 3 - 2*a**2 - 201*a + 195*a - a**2.
-3*(a + 1)**2
Let k(j) be the first derivative of 64*j**6/21 + 656*j**5/35 + 20*j**4 - 100*j**3/21 - 74*j**2/7 - 16*j/7 + 3038. Solve k(n) = 0 for n.
-4, -1, -1/2, -1/8, 1/2
Let f = 212182/371343 + 2/53049. Let a be 3/(-7)*(-12)/9. Determine l, given that -4/7 + f*l**2 + 4/7*l**3 - a*l = 0.
-1, 1
Let t be (-15)/((-15)/19) + -17. Suppose 2/9*z**t - 2/9*z + 0 = 0. Calculate z.
0, 1
Let z(a) be the third derivative of 4*a + 1/150*a**5 + 0 + 0*a**3 - a**2 + 7/60*a**4. Factor z(p).
2*p*(p + 7)/5
Let u(i) be the second derivative of -13*i**7/105 - 28*i**6/75 + 7*i**5/10 + 11*i**4/3 + 68*i**3/15 + 8*i**2/5 + 746*i. Determine l, given that u(l) = 0.
-2, -1, -2/13, 2
Let k(q) = -3*q**2 - 305*q + 19995. Let n be k(-147). Factor -1/3*x**5 - 2/3*x**4 + 0 + 4*x**2 - 12*x + 11/3*x**n.
-x*(x - 2)**2*(x + 3)**2/3
Let d(w) be the second derivative of -5*w**7/42 - 40*w**6 + 5230*w. Find t, given that d(t) = 0.
-240, 0
Let j be 3666/(-273) + 12*4/3. Solve j + 2*i**2 + 30/7*i + 2/7*i**3 = 0.
-3, -1
Determine n, given that 9/5 + 3/5*n**2 + 3*n - 3/5*n**3 = 0.
-1, 3
Let v(s) be the third derivative of 261*s**5/140 - 521*s**4/56 - s**3/7 - 8*s**2 - 645*s + 1. Factor v(j).
3*(j - 2)*(261*j + 1)/7
Let b(i) be the third derivative of i**6/24 - 95*i**5/12 + 460*i**4 + 1920*i**3 - 2*i**2 - 625*i + 2. What is f in b(f) = 0?
-1, 48
Let p(x) = -5*x**3 + 5*x**2 + 4005*x - 46240. Let r(t) = -5*t**3 + 4*t**2 + 4007*t - 46240. Let s(v) = -6*p(v) + 5*r(v). Determine w, given that s(w) = 0.
-32, 17
Let g be (-9 + (4 - 1))/(10 - -2 - 16). Solve 24*b + 45/2 + g*b**2 = 0 for b.
-15, -1
Let b = -3454 - -3457. Let s(f) be the second derivative of 6*f + 2/5*f**5 + 20/3*f**3 + b*f**4 + 0 + 6*f**2. Find r, given that s(r) = 0.
-3, -1, -1/2
Let t(u) be the third derivative of -u**7/42 - u**6/8 + 3*u**5/4 - 25*u**4/24 - 3*u**2 - 448*u + 2. Determine l so that t(l) = 0.
-5, 0, 1
Let x(i) = -96*i + 289. Let r be x(3). Let y(b) be the first derivative of 2/13*b**2 - r - 6/13*b + 2/39*b**3. Factor y(j).
2*(j - 1)*(j + 3)/13
Let q be (12424/130)/(3 - (-48)/(-15)). Let k = q + 478. Let 2/13*b**3 + 0 + 0*b**2 - k*b = 0. What is b?
-1, 0, 1
Let b(a) = -a**2 + 11*a - 7. Let l = -380 - -390. Let y be b(l). Let -2*q**5 + 0 - 26/9*q**y - 4/9*q**2 - 40/9*q**4 + 0*q = 0. Calculate q.
-1, -2/9, 0
Let g(m) = m. Let j be g(4). Let s = -6969 + 6969. Factor 7*d**2 - 2*d**3 + d**3 + d**5 + s*d**3 + 4*d**4 - j - 7*d**4.
(d - 2)**2*(d - 1)*(d + 1)**2
Let u(g) be the first derivative of -2*g**3 + 39*g**2/2 - 6*g + 72. Let s(p) = -p**2 + p - 2. Let v(f) = -3*s(f) + u(f). Determine l so that v(l) = 0.
0, 12
Suppose -2/7*v**2 - 1158242/7 - 3044/7*v = 0. What is v?
-761
Suppose -3 + 0*u**3 - 5/4*u - 1/8*u**4 + 15/8*u**2 = 0. What is u?
-4, -1, 2, 3
Let p = 2063 - 2063. Let i(w) be the third derivative of 3/8*w**4 - w**2 + 1/40*w**6 + 0*w - 1/5*w**5 + p*w**3 + 0. Factor i(f).
3*f*(f - 3)*(f - 1)
Let j(l) be the second derivative of -3*l**5/20 + 71*l**4/2 - 281*l**3/2 + 210*l**2 - 280*l. Factor j(y).
-3*(y - 140)*(y - 1)**2
Let n(r) be the third derivative of r**8/2184 - 2*r**7/455 + 11*r**5/195 + 5*r**4/52 + 541*r**2 + 4*r + 2. Let n(k) = 0. What is k?
-1, 0, 3, 5
Let m(c) be the third derivative of c**7/1365 + c**6/780 - c**5/390 - c**4/156 + 3*c**2 - 55. Find j such that m(j) = 0.
-1, 0, 1
Find n such that 0*n**2 + 0 + 1/3*n**5 - 4/3*n**3 + 0*n - n**4 = 0.
-1, 0, 4
Let t(g) be the third derivative of g**6/80 + 63*g**5/5 + 62997*g**4/16 - 64009*g**3/2 - 3612*g**2 - g. Let t(v) = 0. What is v?
-253, 2
Suppose 705*z**3 + 885*z**3 - 1580*z**3 - 5*z**4 + 15*z**2 = 0. Calculate z.
-1, 0, 3
Let b = -1444 + 148727/103. Let u = 377/721 - b. Factor u*d - 8/7 - 4/7*d**3 + 8/7*d**2.
-4*(d - 2)*(d - 1)*(d + 1)/7
Solve 14/3*x**2 + 56/3 - 200/3*x = 0 for x.
2/7, 14
Let g = 4410379/70 + -63004. Let x = g - 32/35. Factor -3/4*s**5 + s**4 + 1/4*s**3 + 0*s + 0 - x*s**2.
-s**2*(s - 1)**2*(3*s + 2)/4
Let v(g) be the third derivative of 0 + 1/90*g**5 - 11/36*g**4 + 10/9*g**3 + 0*g + 63*g**2. Let v(q) = 0. What is q?
1, 10
Let w(o) be the second derivative of -5*o**7/42 + o**6/6 + 3*o**5/2 - 201*o - 2. Solve w(i) = 0 for i.
-2, 0, 3
Let l(z) be the second derivative of 40 + 2*z + 1/72*z**4 - 1/3*z**2 + 1/120*z**5 - 1/9*z**3. Determine q so that l(q) = 0.
-2, -1, 2
Factor -8940*j**2 - 30*j**4 + 49*j**4 + 6924*j**2 - 10368*j - 21*j**4 + 73*j**3 + 63*j**3.
-2*j*(j - 36)**2*(j + 4)
Let n = -2/71663 + 71677/501641. Factor 1/7*p**3 + 6/7*p**2 + 0*p - n*p**4 + 0.
-p**2*(p - 3)*(p + 2)/7
Let o = 11382 + -11382. Let w(g) be the second deriv