 0
Let c = 1951856/13 + -150142. Find z, given that -8/13*z**3 + 0 + 0*z + c*z**2 - 2/13*z**4 = 0.
-5, 0, 1
Let q = 334 + -342. Let l(v) = 11*v**3 - 9*v**2 - 48*v - 44. Let u(c) = -3*c**3 + 3*c**2 + 15*c + 15. Let j(g) = q*u(g) - 3*l(g). Factor j(k).
-3*(k - 2)*(k + 1)*(3*k + 2)
Factor 4114*i**4 - 245*i**3 + 64 - 4109*i**4 + 60*i**3 - 515*i + 525*i**2 + 106.
5*(i - 34)*(i - 1)**3
Let m(j) be the third derivative of -j**7/14 + 13*j**6/12 + 8*j**5 + 85*j**4/4 + 175*j**3/6 - 2*j**2 + 507*j. Suppose m(b) = 0. What is b?
-1, 35/3
Let t(g) be the third derivative of 0*g - 44/3*g**4 - 2/5*g**6 + 17/5*g**5 + 32*g**3 - 77*g**2 + 2/105*g**7 + 0. Suppose t(d) = 0. Calculate d.
1, 3, 4
Let h(w) be the third derivative of 0*w + 0*w**3 + 4*w**2 + 1/840*w**6 + 8 + 1/60*w**5 + 0*w**4. Factor h(v).
v**2*(v + 7)/7
Let t(f) = -f**3 - 12*f**2 + 24*f - 26. Let b be t(-14). Suppose b = 6*g + 4*g. Factor -1/6*i**4 + 1/6*i**2 - 1/6*i**5 + 0 + 1/6*i**g + 0*i.
-i**2*(i - 1)*(i + 1)**2/6
Factor 13012/15*l - 2/15*l**2 - 21164018/15.
-2*(l - 3253)**2/15
Let k(v) = 40*v**2 - 14*v**2 - 176*v - 16*v**2 - 11*v**2 + 2360. Let z(u) = u**2 + 2*u - 2. Let o(a) = k(a) + 4*z(a). Find i such that o(i) = 0.
28
Let n(i) be the second derivative of -1/90*i**6 - 1/12*i**5 + 0*i**2 - 13*i + 0 - 1/9*i**4 + 0*i**3. What is v in n(v) = 0?
-4, -1, 0
Suppose -26*c + 68*c + 22*c + 12*c = 0. Find x such that -4/9*x**3 + 8/9*x**2 + 32/9*x + c = 0.
-2, 0, 4
Suppose 92*b - 139*b = -25*b - 110. Find s such that 17/2*s**2 + 7/2*s**4 + 17/2*s**3 + 1/2*s**b + 3*s + 0 = 0.
-3, -2, -1, 0
Let u(t) = t**3 + 22*t**2 + 207*t + 168. Let h(m) = -7*m**3 - 153*m**2 - 1452*m - 1177. Let o(f) = -6*h(f) - 43*u(f). Solve o(k) = 0 for k.
-18, -9, -1
Let l(d) be the second derivative of 0*d**4 + 0*d**3 + 0 + 1/3*d**6 + 5/84*d**7 + 3/8*d**5 + 0*d**2 - 200*d. Factor l(x).
5*x**3*(x + 1)*(x + 3)/2
Let x(d) be the second derivative of d**3/3 + 21*d**2 - 41*d. Let u be x(-19). Find g, given that 2*g + 6*g**2 + g**3 - u*g + 16 + 26*g + 3*g**2 = 0.
-4, -1
Let h(j) be the third derivative of j**6/60 + 223*j**5/30 - 169*j**4/3 + 452*j**3/3 - 1801*j**2. Factor h(n).
2*(n - 2)*(n - 1)*(n + 226)
Let o be -1 - (-1 + 0 + -5). Let z = -12 + 15. Factor 12*c - 90*c**2 - 40 - o*c**4 - 9*c + 8*c + 35*c**z + 89*c.
-5*(c - 2)**3*(c - 1)
Let m = 229353 - 229351. Suppose 0 - 7/4*w**m + w + 3/4*w**3 = 0. Calculate w.
0, 1, 4/3
Let h(y) be the third derivative of y**5/360 + 97*y**4/144 - 11*y**3/2 - 2407*y**2. Let h(i) = 0. Calculate i.
-99, 2
Let i(z) = -1200*z**4 + 522*z**3 - 45*z**2 + 3*z + 2. Let o(x) = 1200*x**4 - 523*x**3 + 46*x**2 - 4*x - 3. Let t(d) = -6*i(d) - 4*o(d). Factor t(b).
2*b*(3*b - 1)*(20*b - 1)**2
Let v(w) = w**2 - 14*w - 204. Let t be v(23). Let y(n) be the second derivative of -18*n - 5/4*n**t + 0 - 75/8*n**2 - 1/16*n**4. Factor y(b).
-3*(b + 5)**2/4
Let l = -1587 - -12697/8. Let q(f) be the first derivative of -1/12*f**3 + 12 + 1/2*f - l*f**2. Let q(h) = 0. What is h?
-2, 1
Let p(y) be the third derivative of 17*y**2 + 136/9*y**4 + 0*y + 13/18*y**5 + 0 + 1/90*y**6 + 256/9*y**3. Factor p(u).
2*(u + 16)**2*(2*u + 1)/3
Let j(k) = k**2 - 4. Suppose -2*z = -3*l - 4, 0 = -l + z - 6*z + 27. Let v be j(l). Suppose -2 + 3*x**2 + v + 510*x**4 - 511*x**4 + x - x**3 = 0. What is x?
-2, -1, 1
What is n in 1450 + 342*n**2 - 142 - 1647*n + 180*n**3 - 183*n**3 = 0?
1, 4, 109
Let r(q) = q**3 + 5*q**2 - 11*q - 14. Let d be r(-6). Factor -12*t + 19*t**4 - 16*t**2 - 17*t**4 + 14 - 4*t**3 + d*t**3.
2*(t - 1)**2*(t + 1)*(t + 7)
Let u(j) be the first derivative of 2*j**3/27 - 29*j**2/3 - 176*j/9 - 2816. Factor u(c).
2*(c - 88)*(c + 1)/9
Let q(b) = 7*b**2 - 5*b - 6. Let j(h) be the first derivative of -19*h**3/3 + 13*h**2/2 + 18*h + 48. Let n(r) = 3*j(r) + 8*q(r). Determine s so that n(s) = 0.
-3, 2
Factor -51/4*g + 485/8 + 1/8*g**2.
(g - 97)*(g - 5)/8
Let h(v) = -v**3 + v**2 + 122*v - 8. Let i(t) = -2*t**3 - t**2 + 245*t - 14. Let f(r) = -7*h(r) + 4*i(r). Solve f(z) = 0 for z.
-18, 0, 7
Suppose -10*s = 77*s. Let b(y) be the first derivative of 8 - 8/3*y**3 + s*y + 2*y**2 + y**4. Solve b(f) = 0.
0, 1
Let s(h) be the third derivative of -1/420*h**7 + 0*h + 1/30*h**5 + 1/120*h**6 - 1/4*h**3 - 1/24*h**4 - 17 - 4*h**2. Factor s(o).
-(o - 3)*(o - 1)*(o + 1)**2/2
Suppose 3/5*f**2 + 186/5*f + 504 = 0. Calculate f.
-42, -20
Let r(b) be the third derivative of -b**6/540 + 13*b**5/30 - 290*b**4/9 + 3364*b**3/27 - 31*b**2 - 13. Find o, given that r(o) = 0.
1, 58
Let r be ((-14)/(-49))/(40/(-14))*-7574. Let g = r - 757. Factor -2/5*j**3 + g*j - 2/5*j**2 + 2/5.
-2*(j - 1)*(j + 1)**2/5
Let b be (-3)/4 + 33/12. Factor 0*y**5 + 184*y**2 + 256*y**3 + 76*y + 2 + b + 164*y**4 - 20*y + 40*y**5.
4*(y + 1)**4*(10*y + 1)
Find g, given that 54*g**2 + g**4 + 3*g - 3*g - 18882*g**3 + 18827*g**3 = 0.
0, 1, 54
Suppose 13*g = 3*g + 90. Let n = g - 7. Factor -19*s - 91 - 5*s + 8*s**n + 109.
2*(2*s - 3)**2
Let t(d) be the first derivative of 3*d**6/10 - 5*d**5/6 - d**4/3 + d**3 + 2*d - 50. Let p(m) be the third derivative of t(m). Let p(z) = 0. What is z?
-2/27, 1
Let h(i) be the first derivative of 5*i**4/12 - 50*i**3/3 + 250*i**2 + 52*i + 18. Let j(y) be the first derivative of h(y). Factor j(a).
5*(a - 10)**2
Let v be 24/((-15)/(-5)) - (-2580)/(-387). Determine q, given that -4/3*q + q**3 - v*q**2 + 4/3*q**4 + 1/3*q**5 + 0 = 0.
-2, -1, 0, 1
Let u(n) be the first derivative of -3087*n**4/10 + 1176*n**3 - 1680*n**2 + 3200*n/3 + 1759. Factor u(z).
-2*(21*z - 20)**3/15
Let i(j) be the second derivative of 0 + 56*j - 3/4*j**4 + 21/8*j**3 + 3/80*j**5 + 147/4*j**2. What is u in i(u) = 0?
-2, 7
Factor -2/3*w**3 - 44*w + 0 - 70/3*w**2.
-2*w*(w + 2)*(w + 33)/3
Suppose -t + 3*t = -125*t. Let -12/7*w + t + 52/7*w**3 + 26/7*w**2 + 2*w**4 = 0. Calculate w.
-3, -1, 0, 2/7
Let w(c) = 124*c**2 - 30*c - 366. Let s(d) = 104*d**2 - 31*d - 365. Let f(p) = 6*s(p) - 5*w(p). Let f(v) = 0. Calculate v.
-6, 15
Suppose 9 = 5*d - t, -93 = -d - 2*t - 78. Determine s so that -4*s**2 + 8*s**d + 2/3*s + 0 + 2*s**5 - 20/3*s**4 = 0.
0, 1/3, 1
Let j be 418/(-374) - (1 + 6). Let f = -1208/153 - j. Factor 0*g + 2/9*g**2 + 0 + 4/9*g**3 + f*g**4.
2*g**2*(g + 1)**2/9
Let i(q) be the second derivative of 2*q + 0*q**5 - 7/2*q**2 - 1/24*q**6 + 0 + 5/8*q**4 - 5/3*q**3. Let j(x) be the first derivative of i(x). Factor j(g).
-5*(g - 1)**2*(g + 2)
Let w = 45 + -63. Let a(t) = t**2 + 18*t + 2. Let d be a(w). Factor -197*n - 9*n**3 + 185*n - 21*n**d - 3*n**2.
-3*n*(n + 2)*(3*n + 2)
Let p be (-415 - -417)*(-8)/(-7) - (-1 + (-9)/(-7)). Find o, given that -9*o**p + 3/5*o**4 - 18/5 + 51/5*o + 9/5*o**3 = 0.
-6, 1
Find d, given that 2/7*d**5 + 44/7*d**3 - 18/7*d**4 - 46/7*d - 12/7*d**2 + 30/7 = 0.
-1, 1, 3, 5
Let o = 10847 - 97619/9. Let c(f) be the first derivative of 0*f**2 - o*f**3 + 4/3*f + 34. Factor c(x).
-4*(x - 1)*(x + 1)/3
Factor -93/5*a - 1/5*a**2 + 38.
-(a - 2)*(a + 95)/5
Let d(y) = 3*y**3 + 13*y**2 + 14*y - 4. Let a(q) = 4*q**3 + 16*q**2 + 16*q - 5. Let x be -18 - (-3 + -6) - 5/(-1). Let n(r) = x*a(r) + 5*d(r). Factor n(b).
-b*(b - 3)*(b + 2)
Let y(i) be the first derivative of 1/2*i**3 + 11/20*i**4 + 3/25*i**5 - 3/5*i**2 - 2*i + 21. Let t(a) be the first derivative of y(a). What is h in t(h) = 0?
-2, -1, 1/4
Suppose -1/2*w**2 - 127/2 - 64*w = 0. Calculate w.
-127, -1
Suppose -900*a - 552*a - 670 = -1738 - 1836. Let 94/5*c - 1/5*c**a - 2209/5 = 0. What is c?
47
Let i = 18700/9 - 37391/18. Factor -i*b**3 - b + 5/2*b**2 - 4.
-(b - 4)*(b - 2)*(b + 1)/2
Let u = 63767/3 - 21572. Let s = u - -319. Determine d, given that -8/3*d**2 - 4/3 - s*d**3 + 14/3*d = 0.
-2, 1/2
Let k = 506 + -296. Let u be (-8)/(-6)*(11 + k/(-24)). Let -3/4*h**5 - 3/4 - 3/2*h**u + 9/4*h**4 - 3/2*h**2 + 9/4*h = 0. What is h?
-1, 1
Solve -94*x - 684 - 34*x**2 - 33*x**2 + 65*x**2 = 0.
-38, -9
Let o(n) be the first derivative of n**6/450 - n**5/150 - n**4/15 + n**3 - 7*n**2/2 + 33. Let a(m) be the third derivative of o(m). Factor a(x).
4*(x - 2)*(x + 1)/5
Let l = 22719/2 + -11347. Let z(n) be the first derivative of 20*n - l*n**4 - 6 - 5*n**3 - 3*n**5 + 30*n**2. Suppose z(q) = 0. Calculate q.
-2, -1/3, 1
Let z(k) = -3*k**2 + 69*k - 126. Suppose 8 = 16*i - 328. Let q be z(i). Factor 2/7*j**2 + q*j + 0 + 1/7*j**3.
j**2*(j + 2)/7
Let y(w) be the f