/3 - 3930*t. What is s in q(s) = 0?
0, 2, 11
Suppose -2*x - 808 + 974 = 0. Factor 9 + 21*p + 45*p**2 + 44*p**2 - x*p**2 - 21*p**3 + 3*p**3 - 3*p**5 - 15*p**4.
-3*(p - 1)*(p + 1)**3*(p + 3)
Let o(q) = -q**2 + 1 + q**3 - 12 + 13*q**2 + 3*q**2 + 13*q. Let b be o(-14). Factor -8*u**4 + 24*u + 6*u**b - 12*u + 21*u**2 + 5*u**4.
-3*u*(u - 4)*(u + 1)**2
Let m(v) = -2569*v + 146433. Let b be m(57). Determine c so that b*c - 4/3*c**2 + 16/3 = 0.
-2, 2
Let h(z) be the third derivative of z**7/1575 - 7*z**6/900 - 29*z**5/150 - 149*z**4/180 - 14*z**3/9 + 2*z**2 + 857*z. Determine r, given that h(r) = 0.
-5, -1, 14
Let c(d) be the first derivative of 49*d**3/9 - 1162*d**2/3 + 27556*d/3 - 894. Factor c(k).
(7*k - 166)**2/3
Let j = 1394 - 1420. Let p be j/(-40) - (-128)/(-2560). Let p*y**4 + 3*y - 12/5 - 3*y**3 + 9/5*y**2 = 0. Calculate y.
-1, 1, 4
Let c(v) = -27*v**3 - 1017*v**2 + 735*v + 288. Let g(a) = 29*a**3 + 1018*a**2 - 733*a - 286. Let s(r) = 4*c(r) + 3*g(r). Factor s(m).
-3*(m - 1)*(m + 49)*(7*m + 2)
Let a(x) be the second derivative of x**7/189 + 11*x**6/135 - 97*x**5/45 - 923*x**4/27 + 4225*x**3/27 - 2197*x**2/9 + 647*x. Find s such that a(s) = 0.
-13, 1, 13
Suppose 0 = 8622*h - 8586*h - 36. Factor -1/3*g + h - g**2 + 1/3*g**3.
(g - 3)*(g - 1)*(g + 1)/3
Suppose -42*w + 32 - 82 + 50 = -118*w. Factor w + 5/3*z**2 + 0*z + 1/6*z**3.
z**2*(z + 10)/6
Let x be 1137/150 + 486/(-6075). Solve 18*z + x*z**2 + 0 + 3/2*z**4 - 9*z**3 = 0.
-1, 0, 3, 4
Solve 177/5*n**3 + 0*n + 44/5*n**4 + 4/5*n**2 + 0 = 0.
-4, -1/44, 0
Let h = -11463 + 11463. Let v(d) be the second derivative of 1/60*d**5 - 41*d - 2*d**2 + 1/36*d**4 + h - 4/9*d**3. Factor v(w).
(w - 3)*(w + 2)**2/3
Let r(c) = c**2 - 60*c + 69. Suppose 4*k + 3*y = k + 21, 0 = 3*k + y - 17. Let p(t) = 2*t**2 - 90*t + 104. Let f(v) = k*p(v) - 8*r(v). Factor f(i).
2*(i - 1)*(i + 16)
Let p(z) be the third derivative of z**5/12 - 605*z**3/6 + 4*z**2 - 18*z. Factor p(u).
5*(u - 11)*(u + 11)
Let x be (-2*(-3)/(-9) + 2)*758/7580. Solve x*f**4 + 0*f + 0*f**2 + 0 + 2/15*f**5 - 4/15*f**3 = 0 for f.
-2, 0, 1
Let f = 246 - 223. Factor -18*h**4 + 43*h**4 - f*h**4 + 2*h**3 - 32*h**2 - 22*h - 12*h + 2*h.
2*h*(h - 4)*(h + 1)*(h + 4)
Let m = 0 + 2. Suppose 5*n = 8 + m. Factor -r**n + 5 - 13 + 8 + 4*r.
-r*(r - 4)
What is z in -2361/5*z**3 + 512/5*z + 12/5 + 1849/5*z**5 - 1075*z**4 + 5363/5*z**2 = 0?
-1, -2/43, 1, 3
Let z(n) be the second derivative of -n**8/448 + n**7/40 + n**6/20 - 19*n**2/2 - 11*n. Let t(i) be the first derivative of z(i). Suppose t(r) = 0. Calculate r.
-1, 0, 8
Let i(v) = 57*v - 338. Let t be i(6). Let n(w) be the third derivative of 0*w**5 + 0*w**3 - 1/320*w**6 + 11*w**2 + 0*w**t + 0 + 0*w. Factor n(q).
-3*q**3/8
Suppose -18*b = -24377 + 24341. Find u, given that 116*u**b + 8/9*u**5 + 46/3*u**4 + 754/9*u**3 - 168*u - 48 = 0.
-6, -1/4, 1
Let o(w) be the second derivative of -4/3*w**3 + 2 + 2/5*w**5 - 41*w + 7/2*w**2 - 1/2*w**4 - 1/30*w**6. Suppose o(l) = 0. What is l?
-1, 1, 7
Factor 0 + 0*s + 3/2*s**3 - 3*s**2 + 3/2*s**4.
3*s**2*(s - 1)*(s + 2)/2
Let u = 3748/885 + -562/885. Factor u*r + 3/5*r**2 + 0.
3*r*(r + 6)/5
Let z = -1552 + 4676/3. Let a(h) be the third derivative of 0 + 0*h + 1/2*h**5 + 1/24*h**6 + z*h**3 - 15*h**2 + 5/2*h**4. Factor a(d).
5*(d + 2)**3
Let b(s) be the second derivative of -s**8/1680 - s**7/420 + s**3/6 - 17*s**2 + 7*s + 5. Let p(x) be the second derivative of b(x). Let p(l) = 0. Calculate l.
-2, 0
Suppose -31*k = -62*k + 4619. Factor -7 - 13 - x**2 + 2*x**2 - k*x + 157*x.
(x - 2)*(x + 10)
Let r(c) be the first derivative of -c**6/9 + 218*c**5/15 - 4435*c**4/6 + 163742*c**3/9 - 661168*c**2/3 + 3813248*c/3 - 802. Suppose r(f) = 0. Calculate f.
8, 31
Let k be ((-17)/(-136))/((-5)/(-120)) - (-10)/((-80)/(-126)). Let -t + 63/2*t**3 + 81/4*t**4 - k*t**2 + 1 = 0. What is t?
-2, -2/9, 1/3
Let a(v) be the third derivative of 0 + 177*v**2 - 3/20*v**5 + 1/210*v**7 + 1/120*v**6 + 11/24*v**4 + 0*v - 2/3*v**3. Suppose a(i) = 0. Calculate i.
-4, 1
Let h = 1072258/9 + -119138. Let 40/9 + 164/9*t + h*t**2 = 0. Calculate t.
-10, -1/4
Let g(n) be the second derivative of n**4/18 - 119*n**3/9 - 122*n**2 + 45*n - 24. What is w in g(w) = 0?
-3, 122
Let s = 95527/8 - 11939. Let y(i) be the first derivative of 22 + 0*i**5 + s*i**2 - 5/6*i**3 - 5/4*i**4 + 5/2*i + 5/24*i**6. What is t in y(t) = 0?
-1, 1, 2
Let m(x) be the third derivative of 3*x**7/70 - 19*x**6/10 + 337*x**5/20 - 43*x**4 + 40*x**3 - 1677*x**2. Suppose m(o) = 0. Calculate o.
1/3, 1, 4, 20
Factor -61/3*v + 2/3*v**2 - 32.
(v - 32)*(2*v + 3)/3
Let g(i) be the first derivative of i**6/27 + 8*i**5/5 - 38*i**4/9 + 4*i**3/27 + 25*i**2/3 - 76*i/9 - 4319. Determine h so that g(h) = 0.
-38, -1, 1
Suppose 17/5 + 33/10*m - 1/10*m**2 = 0. What is m?
-1, 34
Factor 405 + 1218*h + 3*h**4 + 498*h**2 + 414*h**3 + 302*h**2 + 424*h**2.
3*(h + 1)**3*(h + 135)
Determine u so that 0 - 1/2*u**2 + 814*u = 0.
0, 1628
Suppose 3*i - 3*u = i + 562, -2*i + 570 = -5*u. Let k be i/(-220) + 42/8. Factor 1/10*d**2 + 1/2*d - 1/10*d**k - 1/2*d**3 + 0.
-d*(d - 1)*(d + 1)*(d + 5)/10
Let k = 307 - 304. Factor -12*b**2 + 60 - 5*b**k - 5*b + 2*b**2 - 60.
-5*b*(b + 1)**2
Suppose -43 + 19 = -6*h. Find m such that -345*m**3 + 57*m**h + 47*m**2 + 442*m**2 + 234*m**2 - 3*m**5 - 624*m + 192 = 0.
1, 8
Let z(y) be the third derivative of -1/6*y**4 + 0*y - 1/5*y**5 + 6 - 2/105*y**7 - 4*y**2 - 1/10*y**6 + 0*y**3. Solve z(b) = 0.
-1, 0
Suppose 3 + 3 = 2*x. Let j be (812/(-56) - -14)/(-2). Factor 1/4*c**2 + j*c**4 - 1/2 + 3/4*c - 3/4*c**x.
(c - 2)*(c - 1)**2*(c + 1)/4
What is a in -1323/5*a**4 + 439563/5*a**2 - 3/5*a**5 - 442224/5*a + 147852/5 - 28773*a**3 = 0?
-222, 1
Let z be (-2 + 14/12)*4288/(-8040). Determine g so that -z*g**2 + 0 + 4/9*g + 1/9*g**3 = 0.
0, 2
Let m be (-344 - -342)/((-4)/(-14)) + 195/24. Find p such that 0 - m*p**4 + 3/8*p**5 + 0*p**2 + 3/4*p**3 + 0*p = 0.
0, 1, 2
Let z(d) be the third derivative of d**6/50 + 123*d**5/100 + 9*d**4/4 - 952*d**2 - 2*d. Factor z(f).
3*f*(f + 30)*(4*f + 3)/5
Let j(v) = 17*v**3 + 1094*v**2 - 737*v + 120. Let o(z) = -55*z**3 - 3283*z**2 + 2214*z - 359. Let h(n) = 14*j(n) + 4*o(n). Let h(p) = 0. What is p?
-122, 1/3
Let b = 679 + -2763/4. Let p = 341/28 + b. Determine c, given that p*c**2 + 0*c + 0 - 1/7*c**3 = 0.
0, 3
Let m(b) = b**3 + b**2 + b. Let j(n) = n**4 - 43*n**3 + 317*n**2 + 355*n. Let i(w) = -j(w) - 6*m(w). Determine p so that i(p) = 0.
-1, 0, 19
Let o = 1/122800 - -196479/122800. Find r, given that -2*r**2 - 42/5*r - o = 0.
-4, -1/5
Let x be ((-621152)/(-20))/(264/(-120)). Let m = 14130 + x. Determine q, given that -m*q**3 - 24/11*q**5 + 102/11*q**2 + 94/11*q**4 + 4/11 - 34/11*q = 0.
1/4, 2/3, 1
Let w be 1/((-20202)/109752) + 6. Let r = 2/481 + w. Factor -r*v**3 + 0*v + 0*v**2 + 2/7*v**4 + 0.
2*v**3*(v - 2)/7
Let w(z) be the second derivative of z**5/70 + 155*z**4/42 + 869*z**3/3 + 847*z**2 - 2*z - 145. Factor w(m).
2*(m + 1)*(m + 77)**2/7
Let k(m) be the first derivative of m**5/40 + m**4/32 - 7*m**3/24 - 13*m**2/16 - 3*m/4 + 1012. Determine p so that k(p) = 0.
-2, -1, 3
Factor -1/2*v**5 - 45864*v + 3*v**4 + 444528 - 2408*v**2 + 300*v**3.
-(v - 14)**3*(v + 18)**2/2
Let s(w) = 84*w**2 + 3719*w - 918. Let y(n) = -74*n**2 - 3717*n + 919. Let r(j) = -7*s(j) - 8*y(j). Factor r(p).
(p + 926)*(4*p - 1)
Suppose -10*s = 75*s + 28*s - 226. Determine y, given that -15/2*y + 5/4*y**s + 0 = 0.
0, 6
Let s(h) be the third derivative of -1/300*h**5 + 0*h**4 + 7/120*h**6 + 0*h**3 + 0*h + 3*h**2 - 22. Factor s(p).
p**2*(35*p - 1)/5
Factor 0*s - 49/2*s**3 - 1/2*s**5 + 12*s**2 + 0 + 13*s**4.
-s**2*(s - 24)*(s - 1)**2/2
Let d(f) be the second derivative of -5*f**4/6 - 82*f**3/3 + 144*f**2 - 248*f + 3. Factor d(y).
-2*(y + 18)*(5*y - 8)
Factor 4*t**3 - 32*t + 132035*t**2 - 16*t - 132019*t**2.
4*t*(t - 2)*(t + 6)
Let y(k) = -k**3 - 2*k**2 - 3*k - 3. Let n be y(-2). Suppose -8*w = -237 + 221. Solve 2*c**n + 0*c**2 - 2*c + 2*c**w - 13*c + 11*c = 0.
-2, 0, 1
Let i(l) be the second derivative of l**7/168 - 25*l**6/24 + 3963*l**5/80 - 3227*l**4/48 - 2356*l**3/3 - 2883*l**2/2 + 2*l + 38. Suppose i(x) = 0. What is x?
-1, 3, 62
Let u(s) be the first derivative of -s**6/200 - 3*s**5/25 + s**4/40 + 6*s**3/5 - s**2 + s + 205. Let m(i) be the second derivative of u(i).