 of -a**6/180 + a**5/45 + a**4/12 - 246*a**2 + 2. Let p(h) = 0. Calculate h.
-1, 0, 3
Let h(v) be the first derivative of 165*v**6/8 - 199*v**5/4 + 5*v**4/8 + 948. Let h(m) = 0. Calculate m.
0, 1/99, 2
Let m be (-30)/(-75) - (-12219)/315. Let i = m - 258/7. What is g in -2/3*g**5 + i*g**2 - 5/3*g**4 - 2/3 + 1/3*g**3 + 1/3*g = 0?
-2, -1, 1/2, 1
Let m = -59103 + 531935/9. Suppose 8/9*j**3 + 26/9*j**2 - m - 26/9*j = 0. What is j?
-4, -1/4, 1
Let p(x) be the second derivative of x**6/75 - 31*x**5/5 - 623*x**4/30 - 104*x**3/5 + 3*x + 231. Suppose p(i) = 0. What is i?
-1, 0, 312
Let a be 14/(-3)*(1 - 6396/(-84)). Let b = 360 + a. Find g, given that 1/3*g**2 - 2/3*g + b + 1/3*g**3 = 0.
-2, 0, 1
Suppose -3*m - 139*f = -137*f - 43, -2*f = -3*m - 25. Factor -13*d**m - 1/2*d**4 + 169/2 - 84*d**2 + 13*d.
-(d - 1)*(d + 1)*(d + 13)**2/2
Let s be (-816)/27 + (-2)/(-9). Let w(i) = -7*i**3 - i**2 - 35*i + 43. Let g(v) = v**3 - 2*v**2 + 1. Let k(j) = s*g(j) - 5*w(j). Find z such that k(z) = 0.
-7, 1
Let n(m) be the first derivative of 2*m**5/25 + 3*m**4/5 - 22*m**3/15 - 24*m**2/5 + 56*m/5 + 2035. Suppose n(w) = 0. What is w?
-7, -2, 1, 2
What is c in -903 + 46*c**3 + 1869 - 966 + c**4 + 45*c**2 = 0?
-45, -1, 0
Let n = 1923 + -7691/4. Let q(f) be the second derivative of 0 + 3/40*f**5 + 3/2*f**2 + 4*f - n*f**3 - 3/8*f**4 + 1/20*f**6. Factor q(z).
3*(z - 1)**2*(z + 1)*(z + 2)/2
Suppose 3*p**4 + 4056 - 4524*p - 32*p**3 - 549*p**2 - 53*p**3 + 1080*p**2 - 44*p**3 + 963*p**2 = 0. What is p?
2, 13, 26
Let w be (-7)/21 + 264/9. Factor 184 + 2*m**3 + 14 - 3*m**3 - 25*m**2 - 143*m - w.
-(m - 1)*(m + 13)**2
Factor 207/2 - 3/8*o**2 - 195/8*o.
-3*(o - 4)*(o + 69)/8
Suppose -1248*c + 1267*c = 1387. Let b = 217/2 + c. Determine o, given that -3/2*o**2 + 33*o - b = 0.
11
Factor 2*a**4 + 2/7*a**5 + 18/7*a**2 + 0*a + 30/7*a**3 + 0.
2*a**2*(a + 1)*(a + 3)**2/7
Suppose 31*z + 36*z = 201. Let f(g) be the third derivative of 1/180*g**5 + 0*g**4 + 0*g + 0 + 1/120*g**6 + 0*g**z + 36*g**2. Solve f(j) = 0.
-1/3, 0
Let k(c) be the second derivative of c**5/10 + 24*c**4 - 292*c**3/3 - 9*c - 39. Let k(g) = 0. What is g?
-146, 0, 2
Find x, given that 2/7*x**2 - 3068/7*x + 1176578/7 = 0.
767
Let q(f) = -f**2 + 4*f + 7. Let a be q(5). Suppose -44*j - 3*j + 19 = -122. Find k, given that -3*k - 4*k**3 - k**2 + k**3 - a*k**2 + 6*k**3 + j*k**4 = 0.
-1, 0, 1
Let o(a) be the first derivative of a**4/14 - 142*a**3/3 + 61503*a**2/7 + 124002*a/7 - 4549. Factor o(q).
2*(q - 249)**2*(q + 1)/7
Let a(h) be the third derivative of -4*h**2 + 1/150*h**5 + 37/60*h**4 - 38/15*h**3 + 0*h + 3. Factor a(j).
2*(j - 1)*(j + 38)/5
Suppose 8*t = 1111 - 1095. Suppose -178*f + 5*z + 10 = -180*f, z = f - t. Factor -18/11*m**3 + 0*m - 2/11*m**5 - 12/11*m**4 + f + 0*m**2.
-2*m**3*(m + 3)**2/11
Suppose 60*i - 68*i = -24. Suppose -b**5 - 15*b**3 - 5*b**2 - 25*b**i + 34*b**3 + b**2 - b - 4*b**4 = 0. What is b?
-1, 0
Let n(c) be the third derivative of c**6/200 + 19*c**5/150 + 107*c**4/120 - 4*c**3/3 + 802*c**2. Suppose n(w) = 0. What is w?
-8, -5, 1/3
Find q such that 1872/5*q**2 + 2432/5 - 736*q + 4/5*q**4 - 328/5*q**3 = 0.
2, 76
What is t in -22707 - 1/3*t**2 + 174*t = 0?
261
Let s(k) = 6*k**2 - 17*k - 8. Let p be s(4). Suppose 3*j + 4*o - 25 = 0, -p = j + o - 27. What is q in 0 + 1/6*q**5 + 0*q - 1/6*q**j - 1/6*q**2 + 1/6*q**4 = 0?
-1, 0, 1
Let k = 2280 - 2274. Let w be (k - 1) + (-558)/126. Determine l, given that -9/7*l**4 - 3/7*l**3 + 8/7*l**2 + w*l + 0 = 0.
-2/3, 0, 1
Suppose -98 = -7*c - 28. Determine j so that -11*j**4 + 21*j**4 - 13*j**2 + 14 + 6*j**3 - 33*j**2 - c*j - 20*j**3 - 2 = 0.
-1, 2/5, 3
Let c(w) be the second derivative of -w**4/72 + 79*w**3/6 + 1436*w. Factor c(o).
-o*(o - 474)/6
What is q in 24*q + 1/2*q**4 + 0*q**3 + 0 - 14*q**2 = 0?
-6, 0, 2, 4
Let y(p) = -p**2 - p - 1. Suppose 0 = -11*j + 9 + 13. Let q(f) = 2 + 4*f - 2*f**2 - 8*f + 8*f + j*f**3. Let h(d) = q(d) + 2*y(d). Factor h(z).
2*z*(z - 1)**2
Let -2/9*n**3 - 20/9*n**2 - 52/9 + 74/9*n = 0. What is n?
-13, 1, 2
Factor 1/2*v**2 + 0 + 11/2*v.
v*(v + 11)/2
Let c(l) = -4*l**2 + 6*l - 10. Suppose -11*p + 96 = 74. Let q(a) = -20*a**2 + 29*a - 53. Let t(s) = p*q(s) - 11*c(s). Factor t(n).
4*(n - 1)**2
Let i be (58/12)/((-10)/15) - (-5175)/575. Let u(b) be the first derivative of -3/5*b**5 + 47 - i*b**4 + 7/3*b**3 + 0*b + 3/2*b**2. Factor u(m).
-m*(m - 1)*(m + 3)*(3*m + 1)
Let p be 2/8 - (-6 - 15/20). Suppose -p*n + 10*n = 12. Factor 2/3*i**3 + 0*i + 8/3*i**n + 0 + 0*i**2.
2*i**3*(4*i + 1)/3
Suppose -1250/3*h**2 + 0*h + 0 - 1/6*h**5 - 9*h**4 - 275/2*h**3 = 0. Calculate h.
-25, -4, 0
Let t(j) be the first derivative of -j**4/6 - 10*j**3/9 - 2143. Factor t(c).
-2*c**2*(c + 5)/3
Suppose -452*q + 971*q = 484*q + 140. Factor 1/5*c**q + 11/5*c - 3/5*c**3 - 3/5*c**2 - 6/5.
(c - 3)*(c - 1)**2*(c + 2)/5
Let y be 6 + (1 - -15 - 17) + (-24)/5. Solve -y*n**3 - 1/5*n**2 + 0*n + 0 = 0.
-1, 0
Determine a so that 910*a**2 + 329 + 102*a + 55*a**4 + 1510*a**2 + 462 + 2848*a + 334 + 650*a**3 = 0.
-5, -1, -9/11
Let t(a) = 2*a**2 + a - 8*a**2 - 5*a**2 + 53 - 23 + 36. Let c(o) = 4*o**2 - o - 23. Let w(q) = -8*c(q) - 3*t(q). Factor w(f).
(f - 2)*(f + 7)
Let d = -9202 + 9202. Let h(o) be the first derivative of 0*o**2 + 1/21*o**3 + 24 + d*o. Factor h(i).
i**2/7
Suppose 13*h - 15 - 24 = 0. Find q such that -820 + 23*q**5 - 220 - 1120*q + 3040*q**2 + 2*q**5 - 1580*q**3 - h*q**5 + 185*q**4 + 3*q**5 = 0.
-13, -2/5, 2
Let u(l) = 295*l - 1010. Let c(r) = -r**2 - 295*r + 994. Let y(t) = -5*c(t) - 4*u(t). Factor y(g).
5*(g - 3)*(g + 62)
Let s be ((-63)/336)/(2625/240 + -11). Factor -2/3*m**2 - 1/2*m - 1/6*m**s + 0.
-m*(m + 1)*(m + 3)/6
Let h = -2180 + 2180. Let d(l) be the second derivative of 1/14*l**4 + h - 7*l + 0*l**2 + 5/7*l**3. Factor d(u).
6*u*(u + 5)/7
Let f(x) be the first derivative of x**4/16 + 3*x**3 + 405*x**2/8 + 675*x/2 + 828. Find g, given that f(g) = 0.
-15, -6
Let o be (-111)/(-513) + 45/162*-2*22/110. Determine b, given that 6/19*b + 4/19 + o*b**2 = 0.
-2, -1
Let 6207/4*x**2 - 2907/2*x**3 - 105/2*x**5 + 1977/4*x**4 - 45 - 381*x = 0. What is x?
-3/35, 1/2, 2, 5
Let 922*w**3 + 3*w**5 + 1485*w**4 - 1020*w**3 - 204*w**2 - 5*w**5 - 1381*w**4 = 0. Calculate w.
-1, 0, 2, 51
Let t(g) be the second derivative of -g**7/14 + 52*g**6/5 + 633*g**5/20 + 53*g**4/2 - 206*g - 5. Find h, given that t(h) = 0.
-1, 0, 106
Let u(d) be the second derivative of d**6/1800 + 11*d**5/600 - d**4/10 - 149*d**3/6 - 28*d - 1. Let f(q) be the second derivative of u(q). Factor f(h).
(h - 1)*(h + 12)/5
Let j be (-45)/18 - (3 - (-279)/(-45)). Let i(c) be the second derivative of -2/3*c**3 + 0*c**2 + 0 - j*c**5 - 3/2*c**4 - 13*c. Find r, given that i(r) = 0.
-1, -2/7, 0
Let j(i) be the first derivative of -i**4/32 - 2*i**3 - 257*i**2/16 - 105*i/4 - 5292. Determine f, given that j(f) = 0.
-42, -5, -1
Let r(g) be the second derivative of 8/5*g**2 + 0 + 46*g + 2/3*g**3 + 1/15*g**4. Find b such that r(b) = 0.
-4, -1
Let f(t) be the first derivative of -t**4/2 - 44*t**3/3 - 151*t**2 - 660*t - 4149. Let f(v) = 0. What is v?
-11, -6, -5
Let v(d) be the third derivative of d**8/336 + d**7/70 + d**6/120 - d**5/20 - d**4/12 + d**2 + 3038*d. Factor v(y).
y*(y - 1)*(y + 1)**2*(y + 2)
Factor 7/4*o**2 + 1293/4*o - 185/2.
(o + 185)*(7*o - 2)/4
Let s(p) be the first derivative of p**4 + 68*p**3/3 + 174*p**2 + 540*p - 2556. Determine z so that s(z) = 0.
-9, -5, -3
Let -349*o - 26*o**2 + 8*o**2 + 15*o**2 + 20 + 1183 + 1549*o = 0. What is o?
-1, 401
Find r, given that 8/3 + 44/3*r + 68/3*r**3 + 28*r**2 + 20/3*r**4 = 0.
-1, -2/5
Let h(m) = 7*m**3 - 45*m**2 - 188*m - 140. Let z(w) = -15*w**3 + 96*w**2 + 381*w + 279. Let v(x) = -9*h(x) - 4*z(x). What is b in v(b) = 0?
-4, -1, 12
Solve 72361 + 269*o + 1/4*o**2 = 0.
-538
Let n be (6/4)/((-34)/68). Let i be 18*(-1)/(-3) + n. Let 3/4*c - 3/4*c**i - 3/2 + 3/2*c**2 = 0. What is c?
-1, 1, 2
Let j(t) be the third derivative of 43*t**7/210 - t**6/45 - 23*t**3/6 - 17*t**2. Let i(r) be the first derivative of j(r). Determine s, given that i(s) = 0.
0, 2/43
Suppose 27/4*j**4 + 0 - 339/2*j - 183*j**3 + 1383/4*j**2 = 0. What is j?
0, 1, 226/9
Let o(w) be the third derivative of 15*w**2 + 1/504*w**8 - w - 1/36*w**6 + 16/9*w**3 + 5/18*w**5 - 1/63*w**7 + 10/9*w**4 + 0. Factor o(q).
2*(