j*z(a) - 11*g(a). Factor b(l).
-3*(l - 1)*(41*l + 2)
Let i(n) be the third derivative of n**6/780 - 8*n**5/195 + n**2 + 208*n. Determine u, given that i(u) = 0.
0, 16
Suppose -4*u + 0 = 4, -5*r - 4*u + 6 = 0. Determine z, given that -2*z**3 + 228*z**r + 231*z**2 + 4*z - 457*z**2 = 0.
-1, 0, 2
Let z = 4987/21 + -1660/7. Let a(r) be the first derivative of -1/18*r**3 + 19 - z*r**2 - 2/3*r. Determine x, given that a(x) = 0.
-2
Let j(x) = -5*x - 23. Let l be j(-6). Suppose l*c = 40 + 44. Find f, given that 315*f**2 + 8*f**3 + c*f - 295*f**2 - 4*f = 0.
-2, -1/2, 0
Let f(w) = 63*w - 4408. Let d be f(70). Let v(u) be the third derivative of 4*u**d + 0 + 1/54*u**4 + 1/27*u**3 + 1/270*u**5 + 0*u. Factor v(x).
2*(x + 1)**2/9
Let c(y) be the third derivative of -y**8/1680 + 23*y**7/350 - 67*y**6/600 - 23*y**5/100 + 17*y**4/30 + 157*y**2 - 14*y - 2. Determine a, given that c(a) = 0.
-1, 0, 1, 68
Let h(o) be the third derivative of -o**5/15 - 5*o**4/6 + 100*o**3/3 - 799*o**2. Factor h(r).
-4*(r - 5)*(r + 10)
What is m in 1124/3*m + 188/3*m**2 + 5/3*m**3 - 160 = 0?
-30, -8, 2/5
Let m(o) be the first derivative of -o**5/4 + 10*o**4 - 875*o**3/12 + 12739. Find q, given that m(q) = 0.
0, 7, 25
Let k = 97/30 - 17/6. Let a = -128107/5 - -25627. Solve 2/5*f**3 + k*f**5 - 8/5*f**4 - 8*f + a*f**2 + 16/5 = 0 for f.
-2, 1, 2
Suppose 19*m = -9*m + 3528. Let -32*j + 16*j**4 + 34*j**2 + m*j**3 + 171*j**2 + 35*j**2 = 0. Calculate j.
-4, 0, 1/8
Let w = 4730 - 4728. Suppose 4*p = 4 + 4. Factor -p*j**2 + 28*j**4 - 19*j**2 - 7*j**w + 15*j**3 + 8*j - 23*j**3.
4*j*(j - 1)*(j + 1)*(7*j - 2)
Let y(b) = -4*b**2 + 24*b + 7. Let m be y(3). Factor m*g**3 - 76*g**3 + 64*g + 50*g + 0*g**3 - 24 + 105*g**2.
-3*(g - 4)*(g + 1)*(11*g - 2)
Let j(h) be the third derivative of -1/14*h**7 + 0*h**3 + 11/40*h**6 + 0*h**4 - 193*h - h**2 - 3/20*h**5 - 3/112*h**8 + 0. Find k such that j(k) = 0.
-3, 0, 1/3, 1
Suppose 25 = 4*f + 5, -4*f + 16 = -2*a. Let w(y) = -12 + 6 + y + y**a + 7. Let c(q) = -6*q**3 - 3*q**2 + 3*q - 1. Let d(g) = -2*c(g) - 2*w(g). Factor d(m).
4*m*(m + 1)*(3*m - 2)
Let g(q) be the third derivative of q**6/540 - 7*q**5/135 - 49*q**4/36 - q**2 - 967*q. Factor g(l).
2*l*(l - 21)*(l + 7)/9
Find t such that 275*t**3 - 1059 - 670*t + 155 - 277*t**3 + 143*t**2 + 89*t**2 = 0.
-1, 4, 113
Let w = -800699/2 + 400360. Factor 45 - w*n - 3/2*n**2.
-3*(n - 3)*(n + 10)/2
Let k(c) = c**2 + 4*c + 4. Let u be k(-9). Let y be (112/u + 6/(-21))/1. Suppose -1/7*w**y - 16/7 - 8/7*w = 0. Calculate w.
-4
Let n(t) be the third derivative of 65/6*t**4 + 1/24*t**6 + 7 + 0*t + 3*t**2 + 40/3*t**3 + 4*t**5 - 5/112*t**8 - 1/3*t**7. Suppose n(r) = 0. Calculate r.
-4, -1, -2/3, 2
Let p = -5917 - -5922. Let x(g) be the second derivative of 0 + 40/27*g**3 - p*g + 17/108*g**4 + 1/180*g**5 + 32/9*g**2. Factor x(j).
(j + 1)*(j + 8)**2/9
Let u = -20851/2 - -10426. Determine a, given that u*a**3 + a**2 + 0 + 1/2*a = 0.
-1, 0
Suppose -46/5*u - 348/5 + 2/5*u**2 = 0. What is u?
-6, 29
Let u be 2088502/219700 + (-6)/975. Solve 19/2 + 1/4*a - 1/4*a**3 - u*a**2 = 0.
-38, -1, 1
Let f be 5/2 + -2 - (-14145)/(-30). Let h = 2358/5 + f. Factor -6/5 + h*p**2 + 3/5*p.
3*(p - 1)*(p + 2)/5
Let m(q) be the second derivative of q**5/130 + q**4/78 - 56*q**3/39 - 4993*q. Factor m(j).
2*j*(j - 7)*(j + 8)/13
Let j(t) be the third derivative of -t**6/60 - 4*t**5/3 + 73*t**4/4 - 90*t**3 + 1248*t**2. Factor j(r).
-2*(r - 3)*(r - 2)*(r + 45)
Let f be 3/(-2) + ((-165)/10)/(-11). Suppose -s - s + 22 = f. Factor s*l**2 - 15*l**5 - 21*l**3 + 9*l**4 + 3*l**5 + 13*l**5.
l**2*(l - 1)**2*(l + 11)
Let c = -28360 - -340325/12. Let b(l) be the first derivative of 0*l + 37 - 1/54*l**6 + 7/45*l**5 - c*l**4 + 13/27*l**3 - 2/9*l**2. Factor b(s).
-s*(s - 4)*(s - 1)**3/9
Let y(j) be the first derivative of -2*j**3/3 - 1730*j**2 - 1496450*j - 307. Find o such that y(o) = 0.
-865
Let x = -16213 + 16216. Let 0*s**2 + 0 + 4/3*s**x - 4/3*s = 0. What is s?
-1, 0, 1
Factor 263*l - 46*l + l**2 + 396709 - 397147.
(l - 2)*(l + 219)
Suppose -43/2*p**3 + 57/2*p**2 + 72*p - 54 + 3/2*p**5 - 5/2*p**4 = 0. Calculate p.
-3, -2, 2/3, 3
Let m(k) = -k**2 - 13*k + 266. Let o be m(11). Solve -21 + 156 + 787*b**o - 135*b**3 - 657*b - 286*b**2 + 12*b**4 = 0 for b.
1/4, 3, 5
Let x(j) be the second derivative of j**5/105 - 25*j**4/21 + 1250*j**3/21 - 8*j**2 + 65*j. Let w(c) be the first derivative of x(c). Factor w(m).
4*(m - 25)**2/7
Factor 36 - 34*n**2 - 87*n + 40 + 100 - 42*n - 1363*n.
-2*(n + 44)*(17*n - 2)
Solve -344*w**2 - 56/3*w**3 - 9680/3 - 1/3*w**4 - 6688/3*w = 0 for w.
-22, -10, -2
Let r(d) be the first derivative of -2*d**5/5 - 11*d**4/2 + 60*d**3 - 196*d**2 + 272*d + 4976. Solve r(p) = 0 for p.
-17, 2
Let y(o) be the third derivative of 5/12*o**4 - 1/24*o**6 + 0*o**3 + 1/12*o**5 + 3*o**2 + 0 - 34*o. Let y(k) = 0. Calculate k.
-1, 0, 2
Let y(b) be the first derivative of b**6/900 - 11*b**5/300 + 3*b**4/10 + 199*b**3/3 + 198. Let h(f) be the third derivative of y(f). Find l such that h(l) = 0.
2, 9
Let j(h) be the third derivative of -h**8/42 + 19*h**7/15 - 29*h**6/60 - 133*h**5/30 + 11*h**4/4 + 4674*h**2. What is k in j(k) = 0?
-1, 0, 1/4, 1, 33
Let x(c) be the third derivative of c**5/15 + 101*c**4/6 + 320*c**3 - c**2 - 3629*c. Factor x(l).
4*(l + 5)*(l + 96)
Let p(h) be the second derivative of 21/2*h**2 + 0 + 15/4*h**3 + 40*h + 1/8*h**4. Suppose p(q) = 0. What is q?
-14, -1
Let u = 6 - 4. Suppose o = r - 6, -2*o - u*o = -2*r + 18. Suppose -60*h**3 + 61*h**r + h**2 - h + 2*h**4 - 3*h**4 = 0. What is h?
-1, 0, 1
Let u = 161/36 - -1/36. Let o = 19 + -35/2. Factor 9/2*y**2 - u + o*y**3 - 3/2*y.
3*(y - 1)*(y + 1)*(y + 3)/2
Let i(a) be the first derivative of a**5/9 + a**4/2 - 43*a**3/27 - 2*a**2 + 20*a/9 - 27. Determine h, given that i(h) = 0.
-5, -1, 2/5, 2
Factor -4/3*z**3 + 3328/3*z + 48*z**2 + 0.
-4*z*(z - 52)*(z + 16)/3
Let k = 417 + -415. Solve -99*a + 3411 + 7405 + 4*a**k - 317*a = 0.
52
Let j(b) be the first derivative of -134 + 11/3*b**3 + b**4 + 3*b**2 + 0*b - 1/5*b**5. Factor j(f).
-f*(f - 6)*(f + 1)**2
Let p(a) be the first derivative of a**6/18 + 11*a**5/3 - 19*a**4/4 - 55*a**3/9 + 28*a**2/3 + 2916. What is f in p(f) = 0?
-56, -1, 0, 1
Determine p so that 3278*p + 5*p**2 + 1893 - 1434 + 2646*p - 9359 - 1484*p = 0.
-890, 2
Suppose 0 + 36/5*h**4 + 38/5*h - 36/5*h**2 + 2/5*h**5 - 8*h**3 = 0. Calculate h.
-19, -1, 0, 1
Suppose -480*h - 488*h - 22 = -979*h. Factor 4 - 4/5*w**h - 16/5*w.
-4*(w - 1)*(w + 5)/5
Suppose 25 = 24*q - 66 - 5. Let v(p) be the second derivative of -4/3*p**3 - 5*p**2 + 1/6*p**q + 0 - 4*p. Suppose v(k) = 0. What is k?
-1, 5
Let k = -894 + 909. Find f, given that -1 - 63*f + 4 + 7 - 1 - k - 30*f**2 = 0.
-2, -1/10
Let x(i) = 4*i**3 + 392*i**2 + 2271*i + 21. Let k(z) = -2*z**3 - 196*z**2 - 1131*z - 9. Let w(y) = 7*k(y) + 3*x(y). Factor w(u).
-2*u*(u + 6)*(u + 92)
Let i(x) be the third derivative of x**6/60 + 11*x**5/30 + 13*x**4/6 + 16*x**3/3 + x**2 + 156*x. Factor i(u).
2*(u + 1)*(u + 2)*(u + 8)
Factor 7/4*b**4 - 75/4*b**3 - 40*b + 0 - 291/2*b**2.
b*(b - 16)*(b + 5)*(7*b + 2)/4
Suppose 7 + 3 = 2*g + 5*m, 4*g - 10 = -5*m. Suppose -1322*q + 1232*q = 0. Find z such that -2/7*z**4 + 0*z**2 + g*z**3 + 2/7*z**5 + q + 0*z = 0.
0, 1
Let p(v) = -82*v + 610. Let s be p(7). Let a be 9/33 - s/1584. Let a*n**3 + 11/4*n + 3/2*n**2 + 3/2 = 0. What is n?
-3, -2, -1
Suppose -31 + 56 + 8*z - 48*z**3 + 4*z**2 - 25 - 4*z**4 + 36*z**3 + 4*z**5 = 0. Calculate z.
-1, 0, 1, 2
Suppose -610/7*f + 0 - 4/7*f**3 - 142/7*f**2 = 0. What is f?
-61/2, -5, 0
Find a, given that a**3 - a + 0 + 1/3*a**4 - 1/3*a**2 = 0.
-3, -1, 0, 1
Factor 30 + 3*l**4 + 58 + 220*l - 228*l**2 + l**4 - 220*l**3 + 136.
4*(l - 56)*(l - 1)*(l + 1)**2
Suppose 133*t + 163 - 187 = 375. Let z(g) be the third derivative of 0 - 1/80*g**6 + 0*g**t + 0*g + 1/20*g**5 + 0*g**4 - 10*g**2. Determine n so that z(n) = 0.
0, 2
Let f be 11 - (0 - (-13 + -6 + 13)). Suppose 0 = 3*s + 18 - 3, -f*c - 2*s = 0. Factor -q - 5/6 - 1/6*q**c.
-(q + 1)*(q + 5)/6
Let t(i) = 14*i - 655. Let r be t(35). Let x be (594/r)/(16/(-10)). Factor 0 + s**5 + x*s**4 + 1/4*s**2 + 3/2*s**3 + 0*s.
s**2*(s + 1)**2*(4*s + 1)/4
Let j(z) be the third derivative of 0 - 62*z**2 + 0*z**5 + 0*z - 1/180*z**6 + 1/36*z**4 + 0*z**3. Factor j(a).
-2*a*(a - 1