+ 1)*(o + 4)*(4*o + 1)
Let t(x) be the first derivative of -x**5 + 47 + 0*x + 0*x**2 + 0*x**4 + 20/3*x**3. Find g, given that t(g) = 0.
-2, 0, 2
Let q = 7096 + -7089. Let c(y) be the third derivative of 1/6*y**6 - 1/4*y**5 + 10/3*y**3 + 0*y - 1/42*y**q - 5/6*y**4 + 0 - 15*y**2. Factor c(r).
-5*(r - 2)**2*(r - 1)*(r + 1)
Let p = 2452/3411 + -104/379. Suppose -3*a = -a. Factor -2/9*y**2 - 2/9*y**3 + a + p*y.
-2*y*(y - 1)*(y + 2)/9
Let c(f) be the first derivative of -4*f**3/3 - 14*f**2 - 40*f - 1648. Suppose c(l) = 0. Calculate l.
-5, -2
Let y(v) be the first derivative of v**6/540 - 7*v**5/180 + v**4/6 - 2*v**3 - v**2 + 29. Let h(u) be the third derivative of y(u). Factor h(c).
2*(c - 6)*(c - 1)/3
Let t(o) be the third derivative of o**6/960 - 29*o**5/120 + 113*o**4/48 - 28*o**3/3 - 545*o**2. Factor t(j).
(j - 112)*(j - 2)**2/8
Let q(l) be the third derivative of -l**7/630 - 7*l**6/180 - 2*l**5/5 - 20*l**4/9 - 64*l**3/9 + 12*l**2 + 4. Let q(z) = 0. Calculate z.
-4, -2
Suppose -16*s - 57/2*s**3 - 38*s**2 + 0 - 7*s**4 - 1/2*s**5 = 0. What is s?
-8, -4, -1, 0
Factor 38/5*v**2 + 34/5*v - 4/5.
2*(v + 1)*(19*v - 2)/5
Let v = 8029432744349/3078 - 2608652585. Let p = 2/1539 + v. Suppose 6 + 27/4*r**2 + p*r = 0. Calculate r.
-4, -2/9
Suppose 4*a - 8 = 4*y, -56*a + 60*a - 26 = -5*y. Factor -336/11*w + 50/11*w**y + 288/11 - 2/11*w**3.
-2*(w - 12)**2*(w - 1)/11
Let v(d) be the third derivative of d**8/448 + 23*d**7/280 + 99*d**6/80 + 189*d**5/20 + 135*d**4/4 - 36*d**2 + 36. Suppose v(q) = 0. What is q?
-6, -5, 0
Let t be 3*5 + -70 + 44 + 15. Factor -2/3*m**t + 0 - 10/3*m**3 - 8/3*m - 16/3*m**2.
-2*m*(m + 1)*(m + 2)**2/3
Let t(m) = -m**2 - 203*m - 9308. Let x be t(-133). Let o be (1 + -3)*(-3)/51. Find g such that -4/17*g + 4/17*g**3 - 2/17*g**4 + o + 0*g**x = 0.
-1, 1
Let u(w) be the second derivative of -w**7/1260 - w**6/60 - 2*w**5/15 - 71*w**4/12 + 4*w + 6. Let h(d) be the third derivative of u(d). Solve h(m) = 0.
-4, -2
Let f = -179 - -181. Factor 1253*z**4 - 3*z**3 - 5*z**3 - 4*z**f - 1257*z**4.
-4*z**2*(z + 1)**2
Let n = 497307/442072 + 3/55259. Suppose n*f + 5/4 - 1/8*f**2 = 0. Calculate f.
-1, 10
Factor -512724*m**2 - 25538*m + 3*m**3 + 513176*m**2 - 5*m**3.
-2*m*(m - 113)**2
Let t(i) be the third derivative of i**6/780 + 83*i**5/390 + 41*i**4/78 - 137*i**2. Let t(a) = 0. What is a?
-82, -1, 0
Let a = 153822 - 2922612/19. Factor a*t - 4/19 - 2/19*t**2.
-2*(t - 2)*(t - 1)/19
Let y(b) be the third derivative of 121*b**7/350 + 1551*b**6/100 + 19309*b**5/100 - 1833*b**4/10 + 338*b**3/5 + 612*b**2 + 2. Determine k, given that y(k) = 0.
-13, 2/11
What is m in -4*m**4 + 210*m**2 + 460*m**3 + 71*m**2 + 67*m + 224*m**2 + 49*m**4 + 23*m = 0?
-9, -1, -2/9, 0
Let x = -1039 - -1084. Let c be (-13)/(1989/x) - -1. What is a in 2/17*a**3 + 16/17*a**2 + c + 26/17*a = 0?
-6, -1
Suppose 3013*j = 3031*j - 720. Let z(y) be the second derivative of -1/6*y**4 + 0 - y**3 + 0*y**2 + j*y. Determine o so that z(o) = 0.
-3, 0
Let b(y) = -4*y**3 + y**2 - 1. Let i(h) = -15*h**3 + 45*h**2 + 78*h - 4. Let v(o) = -4*b(o) + i(o). Find z, given that v(z) = 0.
-39, -2, 0
Factor 627/2 - 45*p + 3/2*p**2.
3*(p - 19)*(p - 11)/2
Let u(k) = k**3 - 19*k**2 - k. Let i(s) = -12*s**2 + 338*s - 288. Let c(a) = -i(a) - 2*u(a). What is x in c(x) = 0?
1, 12
Let y(q) be the second derivative of -q**6/20 + 33*q**4/4 - 32*q**3 + 189*q**2/4 + 1148*q. Determine x, given that y(x) = 0.
-9, 1, 7
Let n(x) be the third derivative of x**6/160 - 31*x**5/80 - 25*x**4/8 - 17*x**3/2 - 954*x**2. What is g in n(g) = 0?
-2, -1, 34
Let r(y) be the third derivative of -988053892081*y**7/1365 - 1982053946*y**6/195 - 3976036*y**5/65 - 7976*y**4/39 - 16*y**3/39 - 2146*y**2. Factor r(g).
-2*(997*g + 2)**4/13
Let u(g) be the third derivative of g**6/780 - 73*g**5/390 - 19*g**4/39 + 148*g**3/39 + 2*g**2 + 63. Factor u(r).
2*(r - 74)*(r - 1)*(r + 2)/13
Suppose -4*c = 2*g - 1804, -5*c + g + 1166 = -1082. Let z = -450 + c. Find x, given that -24/5*x**4 + z - 9/5*x + 21/5*x**2 + 6/5*x**3 = 0.
-1, 0, 1/2, 3/4
Let k(d) be the second derivative of 0*d**2 + 0*d**3 + 0 - 6*d - 5/42*d**7 + 0*d**4 + 0*d**5 + 1/3*d**6. Find s, given that k(s) = 0.
0, 2
Let w be (-3)/7 + 960/280. Let o be ((-3 + w)/(-1))/(-5). Factor -12/13*d**3 + 2/13*d**4 + 10/13*d**2 + o + 0*d.
2*d**2*(d - 5)*(d - 1)/13
Let z be 2/5 - 2537/(-1770). Let u = -7/30 + z. Let -u*g**2 + 8*g**3 - 46/5*g**4 + 0*g + 14/5*g**5 + 0 = 0. What is g?
0, 2/7, 1, 2
Let c(r) be the second derivative of -r**9/5040 - r**8/140 - r**7/56 + r**4/4 - 11*r**3/6 - r - 26. Let v(f) be the third derivative of c(f). Factor v(t).
-3*t**2*(t + 1)*(t + 15)
Determine n so that -16/9*n**3 + 4/9*n**4 + 0 + 0*n + 4/3*n**2 = 0.
0, 1, 3
Suppose 2/3*i**3 - 6*i**2 + 32 + 4/3*i = 0. Calculate i.
-2, 3, 8
Let g be (-9)/(-18) - 5/10. Let h(s) be the second derivative of 1/30*s**6 + 0*s**2 + 0*s**4 - 1/84*s**7 + g + 11*s - 1/40*s**5 + 0*s**3. Solve h(n) = 0 for n.
0, 1
Suppose 0 = -178*b + 86*b + 66*b. Let y(v) be the second derivative of -14*v - 1/160*v**5 + 0*v**3 + b*v**2 + 0 - 1/48*v**4. Factor y(f).
-f**2*(f + 2)/8
Factor -95823/8 - 351/8*n + 3/8*n**3 + 171/8*n**2.
3*(n - 21)*(n + 39)**2/8
Let y(d) be the second derivative of -3*d**5/20 - 95*d**4/4 - 1196*d**3 - 9522*d**2 - d - 452. Solve y(b) = 0 for b.
-46, -3
Suppose -165 = 99*x - 104*x. Determine y so that 433*y**2 - 431*y**2 + 33 - x + 24*y = 0.
-12, 0
Let k(a) = a**3 - 7*a**2 - 1096*a + 422. Let m be k(-30). Factor 65*f**3 - 910*f + 490 + 705/2*f**m + 5/2*f**4.
5*(f - 1)**2*(f + 14)**2/2
Suppose -4*b = -q - 43, -5*b - 615 = -675. Suppose 485*i**3 + 1/2*i**q - 12635/2*i + 6859/2 + 55/2*i**4 + 2375*i**2 = 0. What is i?
-19, 1
Let i(b) = -32*b**3 + 4*b**4 + 20*b**3 + 11*b**2 + 4 + 2*b**4 + 3*b**3 + 8*b + 5*b**2. Let z(k) = k**4 + k**2 + 3*k + 1. Let w(q) = -i(q) + 4*z(q). Factor w(s).
-s*(s - 2)**2*(2*s - 1)
Let l(q) be the second derivative of q**4/4 - 31*q**3/2 - 399*q**2 + q + 205. Let l(r) = 0. What is r?
-7, 38
Let l(w) be the second derivative of -w**4/48 + 73*w**3/12 + 147*w**2/8 - 1548*w. Factor l(b).
-(b - 147)*(b + 1)/4
Let m = 5118/241 + -9995/482. Factor 15/4 - 1/4*g**2 + m*g.
-(g - 5)*(g + 3)/4
Let b(r) be the first derivative of -5/9*r**3 - 20/3*r - 25/6*r**2 - 4. Let b(x) = 0. Calculate x.
-4, -1
Suppose -31*g - 1229 = -1229. Let m(r) be the first derivative of 0*r**2 - 11 - 3/40*r**4 + 1/50*r**5 + 1/15*r**3 + g*r. Factor m(k).
k**2*(k - 2)*(k - 1)/10
Let v(s) be the first derivative of 165 + 10/3*s**2 - 4/15*s**5 - 20/9*s**3 + 8*s - 5/3*s**4. Find b such that v(b) = 0.
-3, -2, -1, 1
Let w(a) = -a**2 - 14*a + 4. Let u be w(-14). Factor 3*i**2 + 5*i**2 + 8*i - 2*i**2 - 6*i**2 + u*i**2.
4*i*(i + 2)
Let q(c) be the first derivative of -c**4/8 - 1079*c**3/6 + c**2/4 + 1079*c/2 - 6832. Determine l, given that q(l) = 0.
-1079, -1, 1
Let d(x) be the third derivative of -5*x**7/189 - 13*x**6/6 - 1441*x**5/30 + 156*x**4 - 192*x**3 + 2024*x**2 + 1. Suppose d(p) = 0. What is p?
-24, 3/5
Let l(t) be the second derivative of t**6/45 + t**5/6 - 13*t**4/18 + 7*t**3/9 + 12950*t. Factor l(v).
2*v*(v - 1)**2*(v + 7)/3
Let f be 6/(-45)*-3*25. Let t be (-33)/(-15) + 2/(-10). Factor 3*r**2 + f - 3*r**2 + 0*r + 5*r**t - 15*r.
5*(r - 2)*(r - 1)
Let u = -169 + 206. Find a such that 3*a**3 + 13*a + 33*a**2 + 25*a**2 - 52*a**2 - u*a = 0.
-4, 0, 2
Let g(x) be the first derivative of x**5/80 + 5*x**4/24 + 3*x**3/8 - 35*x - 73. Let z(n) be the first derivative of g(n). Factor z(j).
j*(j + 1)*(j + 9)/4
Let p(c) be the second derivative of -45*c + 2 - 4*c**3 - 18*c**2 - 1/4*c**4. What is o in p(o) = 0?
-6, -2
Let -67/8*a + 5/4 - 9/2*a**2 = 0. Calculate a.
-2, 5/36
Let p be ((-2538)/(-1128) - (-2)/(-8))*(-3)/(-2). Let x(f) be the first derivative of 43 + 3/2*f**2 - f**p + 6*f. Determine h so that x(h) = 0.
-1, 2
Let n(z) = 8*z**2 + 236*z + 548. Let l(g) = -g**2 - 21*g - 1. Let d(x) = 4*l(x) + n(x). Factor d(w).
4*(w + 4)*(w + 34)
Suppose 2600 = 6*j - 2062. Let s = j - 775. Let -3*q**4 + 1/2*q**5 + 7*q**3 - 1 - 8*q**s + 9/2*q = 0. Calculate q.
1, 2
Let g(p) be the second derivative of 12*p - 16/11*p**2 + 1/110*p**5 - 28/33*p**3 - 2/11*p**4 - 1 + 1/165*p**6. Find d, given that g(d) = 0.
-2, -1, 4
Let z = -112272/7 - -16044. Find y such that 2/7*y**2 + z*y + 34/7 