960*q + 30961*q - 3 = -3. Solve q + 1/5*o**2 - 4/5*o = 0.
0, 4
Let y be 17 + -10 + (-3 - 3) - -29. Suppose -7*j + y*j = 0. Find i, given that -36/7*i**3 - 2/7*i**5 - 16/7*i - 40/7*i**2 - 2*i**4 + j = 0.
-2, -1, 0
Factor 1424*u + 864 + 5*u**2 - 1218 + 2*u**2 - 1074 - 3*u**2.
4*(u - 1)*(u + 357)
Let d(q) be the third derivative of 1849*q**5/60 - 43*q**4/6 + 2*q**3/3 - 2022*q**2. Suppose d(s) = 0. What is s?
2/43
Factor -813*w - 8*w**2 + 22*w**2 - 51*w - 12*w**2 - 6*w**2.
-4*w*(w + 216)
Suppose 5*s = 31 - 6. Suppose -s*a = -a. Let -c**4 + a*c**4 - 2*c**4 + 3*c**5 - 6*c**5 = 0. What is c?
-1, 0
Let u(o) be the third derivative of o**8/1512 + o**7/63 + 5*o**6/36 + 29*o**5/54 + 7*o**4/9 - 127*o**2 - 23*o. Suppose u(b) = 0. Calculate b.
-7, -4, -3, -1, 0
Suppose 0*v + 4*v = 3*n + 17, -n + v - 6 = 0. Let b(t) = -t**2 - 45*t - 266. Let m be b(n). Factor 0 + 1/2*u**3 + 1/2*u**5 + u**4 + 0*u + m*u**2.
u**3*(u + 1)**2/2
Let h(y) be the first derivative of 9*y**4/4 + 1202*y**3/3 - 2410*y**2/9 + 536*y/9 - 6547. Factor h(n).
(n + 134)*(9*n - 2)**2/9
Suppose x + 14 = -4*y, -3*x + y + 10 = -0*y. Let r = -7542/7 + 1078. Factor -144/7 - r*o**x - 48/7*o.
-4*(o + 6)**2/7
Let p(g) be the second derivative of -g**4/6 + 235*g**3/3 - 234*g**2 + 46*g. Solve p(m) = 0 for m.
1, 234
Factor 180*l**5 + 40*l**5 - 110*l**5 - 111*l**5 - 274*l**4 - 17920*l**3 + 117600*l**2.
-l**2*(l - 6)*(l + 140)**2
Let c(s) be the third derivative of 0*s - 11/2*s**4 + 36*s**2 + 0 - 11/10*s**5 - 12*s**3 - 1/40*s**6 + 1/70*s**7. Factor c(p).
3*(p - 6)*(p + 1)*(p + 2)**2
Factor 1/3*x**5 + 0*x + 95/3*x**2 + 0 + 31*x**4 - 63*x**3.
x**2*(x - 1)**2*(x + 95)/3
Let i(x) be the first derivative of x**4/48 - 5*x**3/4 + 201*x + 165. Let g(u) be the first derivative of i(u). Let g(m) = 0. What is m?
0, 30
Let v = 777 - 684. Let s = -456/5 + v. Factor 0*d + 9/5*d**3 - 3/5*d**2 - s*d**4 + 3/5*d**5 + 0.
3*d**2*(d - 1)**3/5
Let i be (35/126)/(1650/31185). Factor 1/4*s**2 + i*s - 1/4*s**3 - 45/4.
-(s - 3)**2*(s + 5)/4
Suppose 16*i = 11*i + 70. Factor i - 6*v + 16 + 14*v - 5*v**2 - 3*v.
-5*(v - 3)*(v + 2)
Suppose 0*z = 5*z - 2*u - 28, 0 = 3*u + 12. Factor 164*x - 44 + z*x**3 - 3*x**2 - 33*x**2 - 248*x.
4*(x - 11)*(x + 1)**2
Let y(v) be the second derivative of v**7/840 + 7*v**6/240 - 5*v**4/6 + 2*v**2 + 12*v. Let x(p) be the third derivative of y(p). Determine z so that x(z) = 0.
-7, 0
Let o(x) be the second derivative of x**8/84 - 16*x**7/105 + 13*x**6/30 - 2*x**5/5 - 126*x**2 - 5*x + 5. Let j(d) be the first derivative of o(d). Factor j(t).
4*t**2*(t - 6)*(t - 1)**2
Let z(t) be the first derivative of 2*t**3/3 + 23*t**2 - 156*t - 508. Factor z(y).
2*(y - 3)*(y + 26)
Let m(i) be the first derivative of 2/3*i**3 + 1/180*i**6 + 1/20*i**5 + 0*i**2 + 0*i + 1/6*i**4 + 15. Let r(f) be the third derivative of m(f). Factor r(x).
2*(x + 1)*(x + 2)
Let v(x) be the second derivative of x**7/168 + x**6/18 - 10*x**3/3 + 5*x + 6. Let a(w) be the second derivative of v(w). Suppose a(h) = 0. What is h?
-4, 0
Let k = -16905 - -287388/17. Let m(s) be the first derivative of 4/17*s + 3/34*s**4 - 2/51*s**3 + 14 - 2/85*s**5 - k*s**2. Suppose m(w) = 0. What is w?
-1, 1, 2
Let v(n) be the second derivative of n**4/30 - 4646*n**3/15 + 5396329*n**2/5 + 8012*n. Let v(i) = 0. Calculate i.
2323
Factor -352*x - 1520*x**2 + 3*x**4 - 79*x**3 + 1952*x - x**4 - 3*x**4.
-x*(x - 1)*(x + 40)**2
Let h(s) = 85*s**4 - 1105*s**3 + 2325*s**2 - 1050*s - 1260. Let d(y) = -6*y**4 + 79*y**3 - 166*y**2 + 75*y + 90. Let w(i) = 55*d(i) + 4*h(i). Factor w(q).
5*(q - 3)**2*(q - 2)*(2*q + 1)
Solve -15/2*c**3 + 63*c**2 + 45 - 9*c**4 + 213/2*c = 0.
-2, -1, -5/6, 3
Solve -45556*x**2 - 1663 + 37044*x**3 + 25200*x + 98476*x**2 + 5663 = 0.
-10/21
Let a be 0/((-224)/(-14) - 14). Factor a - 14/11*k**2 + 0*k + 2/11*k**3.
2*k**2*(k - 7)/11
Let k(s) = 5*s**2 - 777*s + 9. Let i(o) = -22*o**2 + 3886*o - 42. Let p(h) = 3*i(h) + 14*k(h). Factor p(y).
4*y*(y + 195)
Let k(b) = 7*b**3 + 22*b**2 - 108*b + 112. Let q(i) = -15*i**3 - 45*i**2 + 216*i - 222. Let w(v) = -9*k(v) - 4*q(v). Factor w(a).
-3*(a - 2)**2*(a + 10)
Let l(r) be the first derivative of -2*r**5/5 - 11*r**4 + 94*r**3/3 - 24*r**2 + 1340. Factor l(u).
-2*u*(u - 1)**2*(u + 24)
Let v(s) be the third derivative of -34*s - 2*s**2 + 0 + 1/3*s**4 + 1/15*s**5 - 2*s**3. Factor v(l).
4*(l - 1)*(l + 3)
Let c(n) be the third derivative of 1/20*n**6 - 4/195*n**5 + 23/1365*n**7 - 1/39*n**4 + 0*n + 0 - 5/546*n**8 - 16*n**2 + 0*n**3. Solve c(p) = 0.
-1, -1/4, 0, 2/5, 2
Suppose -5*z = 4*b + 12, 2*z - z = -b - 2. Suppose -5*c = 1232 - 1252. Factor 2*p**c - b*p**5 - 353*p + 353*p.
-2*p**4*(p - 1)
Suppose 21*d - 50*d + 72 = -21*d. Let u(k) be the first derivative of 1/6*k**3 + 1/10*k**5 + 0*k**2 + d + 1/4*k**4 + 0*k. Find x such that u(x) = 0.
-1, 0
Find w such that 23148*w - 20987*w**4 + 585*w**3 + 20984*w**4 + 10820 + 45634 + 3915*w - 28803*w**2 = 0.
-1, 2, 97
Suppose 6 = 3*f - 0*f. Let v = 1 + f. Suppose -5*t + 3*t + 2*t + v*t + 3*t**2 = 0. What is t?
-1, 0
Let f(j) = -7*j**3 + 20*j**2 - 14*j - 31. Let h(q) = 8*q**3 - 20*q**2 + 14*q + 30. Let u(d) = 6*f(d) + 5*h(d). Suppose u(w) = 0. Calculate w.
-1, 2, 9
Solve -40*q + 4107*q**4 + 4245*q**4 + 584*q**3 + 4374*q**4 + 8*q - 12386*q**4 - 208*q**2 = 0 for q.
-2, -2/17, 0, 2/5
Let z(o) be the third derivative of -1/100*o**5 - o**2 + 0 - 118*o - 3/10*o**3 + 1/10*o**4. Factor z(l).
-3*(l - 3)*(l - 1)/5
Let a(p) be the second derivative of p**7/8820 - p**6/140 + 25*p**4/12 + 59*p + 2. Let q(k) be the third derivative of a(k). Find i, given that q(i) = 0.
0, 18
Suppose 4*t = 5*y - 0*t - 60, -20 = -4*t. Suppose -y*a + 21*a - 10 = 0. Let 8/5 + 76/5*f**a - 84/5*f = 0. Calculate f.
2/19, 1
Let l(g) = -1053 + 3180 - 981 + 3186 - g**2 - 236*g. Let y(d) = -9*d**2 - 1890*d + 34656. Let m(r) = 33*l(r) - 4*y(r). Factor m(a).
3*(a - 38)**2
Factor -108300*k + 0 + 380*k**2 - 1/3*k**3.
-k*(k - 570)**2/3
Let x be (1/6)/((-2)/(-16)). Let q(b) = b**3 + 15*b**2 - 515*b - 3412. Let d be q(-6). Determine y, given that 0*y + x*y**3 + 0 - 2/3*y**d - 2/3*y**4 = 0.
0, 1
Let m be -3 - 8/((-88)/55). Let l(u) be the first derivative of 1/4*u**m - 6 + 0*u + 1/6*u**3. What is s in l(s) = 0?
-1, 0
Let c(j) be the third derivative of j**5/270 + 5*j**4/108 + 4*j**3/27 + 861*j**2. Factor c(z).
2*(z + 1)*(z + 4)/9
Solve 20/7*d + 24/7 - 20/7*d**3 - 4/7*d**4 - 20/7*d**2 = 0.
-3, -2, -1, 1
Suppose -2933*r + 5403 = -4078 - 2251. Suppose 0 + 3/5*c**r - 42/5*c**3 - 9*c**2 + 0*c = 0. Calculate c.
-1, 0, 15
Let o(z) = -z**3 + 23*z**2 + 11*z - 23. Let b(d) = -3*d**3 + 57*d**2 + 27*d - 57. Let t = -30 + 42. Let x(c) = t*o(c) - 5*b(c). Let x(r) = 0. What is r?
-1, 1, 3
Let l be ((-72)/(-126))/(1/(-7)*-2). Let -18*g - 10 + 2*g - 9*g + 64*g**3 + g + 24*g**l = 0. Calculate g.
-1/2, 5/8
Let z(h) be the second derivative of -161*h + 0 + 0*h**3 - 25/21*h**4 - 32/105*h**6 - 1/49*h**7 + 0*h**2 - 19/14*h**5. Determine m, given that z(m) = 0.
-5, -2/3, 0
Let k be (189/294)/((-60)/518). Let s = -19/4 - k. What is i in 0 - 2/5*i - 6/5*i**5 - s*i**2 + 8/5*i**3 + 4/5*i**4 = 0?
-1, -1/3, 0, 1
Suppose -4*i + i = 48. Let n be -4*i/24*(-6)/(-4). What is a in -142*a**n - 7*a**5 + 52*a**4 + 105*a**5 + 64*a**3 - 8*a**2 - 64*a**4 = 0?
0, 2/7, 1
Let k = -4402 - -35221/8. Let b(j) be the first derivative of -21 + 3/16*j**4 - 1/2*j**3 - 3/8*j - 1/40*j**5 + k*j**2. Let b(i) = 0. What is i?
1, 3
Suppose -9*r = -12*r + 9, -4*r = 3*o - 159. Suppose 24 = 53*p - o*p. Factor -20/3*x + p*x**2 - 7/3*x**3 + 8/3 + 1/3*x**4.
(x - 2)**3*(x - 1)/3
Let q = -41 + 45. Let z be (-2 - q/(-6))*3 + 8. Factor -6*h**3 - 4*h**3 + 0*h**3 - 5*h**3 + 5*h**z.
5*h**3*(h - 3)
Let h(t) be the third derivative of 0 - 1/1575*t**7 - 1/100*t**6 + 0*t + 5/36*t**4 - 1/30*t**5 - 40*t**2 + 0*t**3. Determine f so that h(f) = 0.
-5, 0, 1
Factor -42*q + 49/2*q**2 + 9/2 + 13*q**3.
(q - 1)*(q + 3)*(26*q - 3)/2
Suppose 0 = -4*j + 9*j - 10. Find i such that i**2 - 2*i**3 + 18*i + 14*i**j - 9*i**2 - 54 = 0.
-3, 3
Let g = -22/573 - -688/1337. Let i(s) be the first derivative of -20 + 4/7*s**2 + g*s**3 + 1/7*s**4 + 2/7*s. Suppose i(v) = 0. What is v?
-1, -1/2
Let m(u) be the first derivative of -4/5*u**5 + 12*u**3 - 1/6*u**6 - 93 + 0*u + 3/2*u**4 + 27/2*u**2. Factor m(r).
-r*(r - 3)*(r + 1)*(r + 3)**2
