(o) = 0?
-1, 7
Let p(f) = 2*f**2 - 3*f - 32. Let v be p(5). Let y(o) be the third derivative of 0 + 0*o - 4*o**2 - 1/14*o**v - 1/140*o**5 + 1/28*o**4. Factor y(k).
-3*(k - 1)**2/7
Let h(p) be the first derivative of p**3/21 - 43*p**2/7 + 760*p/7 + 6432. Factor h(k).
(k - 76)*(k - 10)/7
Solve -3*p**2 - 223 + 76*p - 349 + 5*p**2 + 50 - 4*p**2 = 0.
9, 29
Let r(g) be the third derivative of -g**8/336 + g**7/56 - g**5/6 - 14*g**3 - 47*g**2. Let m(l) be the first derivative of r(l). Solve m(a) = 0.
-1, 0, 2
Let v = -63349/3 - -316763/15. Factor 0 + 2/5*g**5 - v*g**3 + 4/5*g**4 + 0*g**2 + 0*g.
2*g**3*(g - 1)*(g + 3)/5
Let u = 1109/23202 - -10/1289. Let i(k) be the first derivative of 1/12*k**2 + 0*k + u*k**3 + 27. Factor i(a).
a*(a + 1)/6
Factor -1162/13*d**2 + 169362/13 + 2/13*d**3 + 168198/13*d.
2*(d - 291)**2*(d + 1)/13
Let s(i) be the first derivative of i**4/12 - 148*i**3/9 - 1366. What is k in s(k) = 0?
0, 148
Let d = -138 - -141. Suppose d*t + o = -0*o + 1228, -4*t + 3*o = -1659. Find c such that -6*c**2 - 422*c - 8*c**2 - 2 + t*c = 0.
-1/2, -2/7
Suppose -41 = -4*v + 83. Suppose 5*f + 3*d + 0*d - 51 = 0, -2*d = 3*f - v. Factor -b + 3*b**3 + 7*b - f*b**2 - 6*b.
3*b**2*(b - 3)
Let s(w) be the third derivative of 1/54*w**4 + 1/90*w**5 + 1/756*w**8 - 1/315*w**7 + 4*w**2 + 0*w**3 + 0*w - 1/135*w**6 - 5. Let s(v) = 0. What is v?
-1, -1/2, 0, 1, 2
Let r(s) be the second derivative of s**7/630 + 2*s**6/45 + 8*s**5/15 - s**4/6 - 65*s**2/2 + 229*s + 2. Let g(d) be the third derivative of r(d). Factor g(v).
4*(v + 4)**2
Solve -5/6*p**4 + 165/2*p**3 + 3675/2*p - 12485/6*p**2 + 12005/3 = 0.
-1, 2, 49
Suppose 65*i + 2 = 10 - 8. Determine v, given that i + 15/7*v**2 + 6/7*v**3 - 9/7*v = 0.
-3, 0, 1/2
Suppose -5*t - 17*x + 12*x + 185 = 0, 5*x - 59 = -2*t. Suppose 62 - t*q**2 - 748 - 27*q**2 + 294*q + 2*q**3 + 27*q**2 = 0. What is q?
7
Let o(p) be the first derivative of -2*p**3/69 - 38*p**2/23 - 74*p/23 - 5139. Solve o(f) = 0.
-37, -1
Let r(a) be the third derivative of -a**7/70 + 57*a**6/20 - 221*a**5/20 - 42*a**4 + 819*a**2 - 7*a - 2. Factor r(j).
-3*j*(j - 112)*(j - 3)*(j + 1)
Let h be 136/32 + 3/4. Suppose -282 - 65*v + 155 + 25*v**2 + h*v**3 + 162 = 0. What is v?
-7, 1
Let x be ((-3)/((-24)/(-1)))/(20/20680). Let r = 130 + x. Let 0 + 1/4*n**4 + 3/4*n**2 - r*n**3 - 1/4*n = 0. Calculate n.
0, 1
Let v be (0/1 + 0)/(-4 - (-69)/23). Let f(h) be the second derivative of 1/50*h**5 - 1/60*h**4 - 10*h + 0*h**3 + v + 0*h**2 - 1/150*h**6. Factor f(y).
-y**2*(y - 1)**2/5
Let l = -5122 - -20489/4. Let m(o) be the third derivative of -20*o**2 + 0 - l*o**4 + 1/2*o**3 + 1/20*o**5 + 0*o. Factor m(c).
3*(c - 1)**2
Let h(i) be the second derivative of 5*i**7/42 - 11*i**6/3 - 75*i**5/4 - 5*i**4/3 + 250*i**3/3 + 1934*i. Suppose h(j) = 0. What is j?
-2, 0, 1, 25
Let i = 1224 + -1232. Let d be (-608)/(-144) + i/36. Suppose 3*z + 0 + 6*z**3 + 3/2*z**d + 15/2*z**2 = 0. Calculate z.
-2, -1, 0
Factor -2432*b - 2768*b + 27*b**3 - 50516*b**4 + 120*b**2 + 50515*b**4.
-b*(b - 20)**2*(b + 13)
Factor 0 + 0*y - 4/3*y**3 + 4*y**2.
-4*y**2*(y - 3)/3
Let z(v) be the second derivative of v**5/50 - 7*v**4/10 - 1012*v**3/15 + 11990*v. Factor z(b).
2*b*(b - 44)*(b + 23)/5
Suppose 244*z = 5*i + 243*z - 5, 4*z = 20. Let -15/2*j + 2*j**i - 9 + 1/2*j**3 = 0. Calculate j.
-6, -1, 3
Let j = -162 + 168. Let b(l) = -l**4 + 2*l**3 - 2*l. Let r(t) = -t**3 - t. Let y(a) = j*r(a) - 3*b(a). Factor y(u).
3*u**3*(u - 4)
Suppose 4*n - s + 19 = -1, 2*s - 4 = 2*n. Let j(v) = 9*v**2 - 162*v. Let g(w) = 2*w**2 - 2*w. Let x(m) = n*g(m) + j(m). Find p such that x(p) = 0.
-50, 0
Let u(k) be the second derivative of 3*k**5/80 - 19*k**4/2 + 5717*k. Factor u(q).
3*q**2*(q - 152)/4
Let x(w) = 18*w**2 - 18683*w + 10913782. Let y(t) = 8*t**2 - 9342*t + 5456892. Let u(g) = 2*x(g) - 5*y(g). Factor u(d).
-4*(d - 1168)**2
Let z(x) = -21*x - 586. Let n be z(-28). Suppose 4*c - n = 5*u, 3*u - 3 = 6*u - 3*c. Factor 2/9 - 7/9*w + 1/3*w**u.
(w - 2)*(3*w - 1)/9
Let o(g) be the second derivative of -5*g**4/72 - 475*g**3/4 + 9590*g. Suppose o(k) = 0. Calculate k.
-855, 0
Let u be 240/144*(-2 - (-57)/24). Let o(y) be the third derivative of 0*y + u*y**5 + 5/16*y**4 + 0 + 1/12*y**3 + 25/48*y**6 + 12*y**2. Factor o(r).
(5*r + 1)**3/2
Let r(g) be the second derivative of -8*g**5/45 - 23*g**4/27 - 5*g**3/27 + 25*g**2/9 + 2*g + 216. Suppose r(p) = 0. Calculate p.
-5/2, -1, 5/8
Let t(f) be the second derivative of 1/36*f**4 + 6*f + 5*f**2 - 1/360*f**6 + 0 - 1/180*f**5 + 0*f**3. Let g(x) be the first derivative of t(x). Factor g(b).
-b*(b - 1)*(b + 2)/3
Let f(w) be the third derivative of -w**7/2520 - w**6/180 - w**5/40 + w**4/6 - 7*w**3/6 + 73*w**2. Let c(y) be the second derivative of f(y). Factor c(o).
-(o + 1)*(o + 3)
Let r(h) be the third derivative of h**5/600 - 83*h**4/80 - 25*h**3/6 + 60*h**2 - 2*h. Suppose r(f) = 0. What is f?
-1, 250
Solve 6151872/5*z + 8592/5*z**2 + 4/5*z**3 + 1468246784/5 = 0.
-716
Let c be -9 + 5 - (-3 - 0). Let z be 1*-1*(-24 - c). Find y, given that -1 + z*y**2 + 4 + 9 - 26*y**2 = 0.
-2, 2
Solve -84/5 + 106/5*g + 16/3*g**2 - 2/15*g**5 - 12/5*g**4 - 36/5*g**3 = 0 for g.
-14, -3, 1
Let j(w) be the first derivative of 11/60*w**5 + 3/4*w**4 + 52 - 1/72*w**6 + 0*w + 20*w**2 + 8/9*w**3. Let b(t) be the second derivative of j(t). Factor b(a).
-(a - 8)*(a + 1)*(5*a + 2)/3
Let g(k) be the first derivative of -38*k + 1/27*k**3 + 2/9*k**2 + 1/45*k**5 - 5/54*k**4 - 38. Let o(j) be the first derivative of g(j). Factor o(r).
2*(r - 2)*(r - 1)*(2*r + 1)/9
Suppose 4*c = -347*c + 308 + 1096. Factor -10/3*t**3 + 0*t**2 + 40/3 - 5/6*t**c + 40/3*t.
-5*(t - 2)*(t + 2)**3/6
Let v(h) = -10*h - 22. Let q be v(-5). Let f be ((-2)/12)/(((-105)/q)/5). Suppose f*x + 0 - 1/9*x**2 = 0. What is x?
0, 2
Let d be (78/65)/(1/(10/4)). Suppose -2*v = -d*v + 4*v. Factor -2*j**2 + v*j**2 + 16 + 4*j - 18.
-2*(j - 1)**2
Factor -1/2*r**2 + 54*r - 315/2.
-(r - 105)*(r - 3)/2
Suppose -3*y - 2 - 4 = 0, -3*y + 2 = 4*a. Factor 3*i**3 + 2*i**3 + 20*i**2 - 12*i**3 - 8*i**3 + 6*i + 7*i**a.
-3*i*(i - 2)*(5*i + 1)
Let c = -235349/6 + 39225. Let f(u) be the second derivative of 7/3*u**3 + 12*u**2 + 0 + 2*u + c*u**4. Suppose f(s) = 0. What is s?
-4, -3
Let h(i) be the second derivative of -i**7/14 + 33*i**6/10 + 231*i**5/10 - 109*i**4/2 - 153*i**3/2 + 555*i**2/2 + 1612*i. Suppose h(u) = 0. What is u?
-5, -1, 1, 37
Let q(t) = t**2 - 5*t + 7*t**4 + 2 + 2 + 0 + 9*t**3 - 4*t**3. Let i(c) = 5*c**4 + 4*c**3 + c**2 - 4*c + 3. Let d(b) = 4*i(b) - 3*q(b). Factor d(u).
-u*(u - 1)**2*(u + 1)
Let y = 483343 + -483340. Factor -8/15*a**2 - 2/15*a**y + 32/15 + 8/15*a.
-2*(a - 2)*(a + 2)*(a + 4)/15
Let z(d) be the first derivative of -d**5/55 + d**4/44 + d**3/11 - 5*d**2/22 - 43*d - 2. Let v(c) be the first derivative of z(c). Factor v(w).
-(w - 1)**2*(4*w + 5)/11
Suppose -53*v + 38*v = 7875. Let i = v + 1077/2. Let -i - 3*w - 1/6*w**2 = 0. Calculate w.
-9
Let f(k) be the second derivative of -1 + 14*k**2 - 41*k + 1/12*k**4 - 29/6*k**3. Factor f(u).
(u - 28)*(u - 1)
Let f = 301437 - 2110057/7. Determine m so that 2/7 + 8/7*m + f*m**4 + 8/7*m**3 + 12/7*m**2 = 0.
-1
Let a = 2782 - 2776. Let i(x) be the third derivative of -1/60*x**a - 2/3*x**4 + 1/6*x**5 - 13*x**2 + 0 + 4/3*x**3 + 0*x. Factor i(o).
-2*(o - 2)**2*(o - 1)
Let i(n) be the first derivative of n**4/8 - 31*n**3/3 + 58*n**2 + 1247. Factor i(d).
d*(d - 58)*(d - 4)/2
Let j(n) = n**3 + n**2. Let t(x) = -x**3 - 11*x**2 + 13*x + 24. Let a be t(-12). Let r(b) = -10*b**3 - 18*b**2 + 4*b. Let m(v) = a*j(v) + r(v). Factor m(p).
2*p*(p - 2)*(p - 1)
Let q(y) be the third derivative of -y**5/300 + 227*y**4/24 - 189*y**3/5 + 6284*y**2. Factor q(j).
-(j - 1134)*(j - 1)/5
Let b be (8*3/8 + -3)/4. Let w(y) be the third derivative of 2*y**3 - 17*y**2 + b + 0*y + 5/8*y**4 + 1/20*y**5. Factor w(z).
3*(z + 1)*(z + 4)
Let i be -362*(-3)/34 + 1062/18054. Factor -169/2 + i*k**2 - 793/4*k - 5/4*k**3.
-(k - 13)**2*(5*k + 2)/4
Find s, given that -78*s + 49*s**2 - 108*s**2 - 67*s - 5*s - 1120 + 54*s**2 = 0.
-16, -14
Let g be 36/27 + (2/(-6))/((-4)/(-16)). Let p(h) be the second derivative of 0*h**2 + g + 1/18*h**4 + h + 5/9*h**3. Solve p(t) = 0 for t.
-5, 0
Let s(m) be the first derivative of m**6/15 + 6*m**5/25 - 3*m**4/5 - 52*m**3/15 - 27*m