d derivative of -22*a + 0 + 5/7*a**2 + 2/7*a**3 + p*a**4. Suppose h(d) = 0. What is d?
-5, -1
Let r(b) be the third derivative of -7/600*b**6 + 0*b + 0*b**3 - 206*b**2 + 0 + 3/50*b**5 + 0*b**4 - 1/1050*b**7. Let r(z) = 0. Calculate z.
-9, 0, 2
Let z be (5 - 0) + 0/(-1). Let o(f) = 23*f + 322. Let t be o(-14). Find k, given that -2*k**3 + k**3 + 1 + t - 3 - 4*k**2 - z*k = 0.
-2, -1
Let a(j) be the third derivative of -j**8/6720 - j**7/504 + 5*j**4/4 - 48*j**2. Let q(m) be the second derivative of a(m). Factor q(p).
-p**2*(p + 5)
Let g be (47 + 1)/(-1 - (-55)/22). Solve -32*n + g*n - 2*n + 9*n**2 = 0.
0, 2/9
Let m = 1150579 + -11505789/10. Solve 1/10*f**2 + 0 - 1/5*f + m*f**3 = 0.
-2, 0, 1
Let z be (-351)/1458 + (-2)/(-27) - (-10)/24. Let 5 - 1/4*v - z*v**2 = 0. What is v?
-5, 4
Let i(p) = p**3 + 3*p**2 + 5. Let q(r) = 6*r**3 + 41*r**2 - 116*r + 145. Let a(b) = -5*i(b) + q(b). Determine v so that a(v) = 0.
-30, 2
Let f(k) be the second derivative of -4*k + 0 + 5/36*k**3 - 1/120*k**5 - 1/4*k**2 - 1/72*k**4. Factor f(c).
-(c - 1)**2*(c + 3)/6
Let s(d) = 6*d**3 + 124*d**2 - 40*d + 45. Let a be s(-21). Let b(l) be the first derivative of 12 + 16*l**2 + 4/3*l**a + 28*l. Factor b(q).
4*(q + 1)*(q + 7)
Let d = 4390 + -21949/5. Let y(a) be the second derivative of -d*a**2 + 4/45*a**3 - 1/90*a**4 + 19*a + 0. Factor y(w).
-2*(w - 3)*(w - 1)/15
Let a(q) be the third derivative of -q**8/1176 + 8*q**7/735 + q**6/84 - 4*q**5/21 - q**4/21 + 32*q**3/21 + 743*q**2 + 2*q. Let a(u) = 0. What is u?
-2, -1, 1, 2, 8
Let y(s) be the first derivative of 3*s**5/20 - 5*s**4 - 21*s**3/2 + 9*s - 95. Let l(u) be the first derivative of y(u). Factor l(q).
3*q*(q - 21)*(q + 1)
Suppose 24*d = -4 + 124. Factor 2*v**2 - 13*v**3 + v**3 - 4*v**d + 2*v**2 + 141*v**4 - 156*v**4.
-v**2*(v + 2)**2*(4*v - 1)
Find b, given that 2*b**5 - 6*b**3 + 31/2*b**4 + 4*b - 31/2*b**2 + 0 = 0.
-8, -1, 0, 1/4, 1
Let z(r) be the first derivative of r**3/9 - 5*r**2 - 451*r/3 - 8169. Find q such that z(q) = 0.
-11, 41
Suppose -4*v = -12, 0 = 10*w - v - 41 + 14. Factor 0*t - 12/5*t**2 + 0 - 2/5*t**4 + 2*t**w.
-2*t**2*(t - 3)*(t - 2)/5
Let z(r) be the third derivative of -r**5/12 + 2915*r**4/4 - 5098335*r**3/2 - 4812*r**2. Factor z(s).
-5*(s - 1749)**2
Let y(z) be the first derivative of 1445*z**4/4 - 1275*z**3 + 1680*z**2 - 980*z - 520. Find j such that y(j) = 0.
14/17, 1
Let k(m) be the first derivative of m**3/5 - 207*m**2/10 + 1464*m/5 - 6641. Factor k(c).
3*(c - 61)*(c - 8)/5
Let q be (-4)/(-5)*5/2. Suppose -1163*o = -1152*o - 99. Factor -4*v**3 + 6 + 3*v**2 - 3*v**q + v**3 + o*v.
-3*(v - 2)*(v + 1)**2
Factor -3/5*j**3 - 54 - 48/5*j**2 - 219/5*j.
-3*(j + 2)*(j + 5)*(j + 9)/5
Let f be 44/16 + -6 - 6/8 - -6. Let g(j) be the second derivative of -4/5*j**5 + 12*j**3 + 2/15*j**6 + 0 + f*j + 0*j**2 - j**4. Solve g(d) = 0.
-2, 0, 3
Suppose -16*p**2 + 0 + 7/3*p**4 + 36*p - 37/3*p**3 = 0. Calculate p.
-2, 0, 9/7, 6
Let x(l) be the second derivative of -l**4/12 - 8*l**3/3 - 31*l**2/2 + 11*l. Let j be x(-12). Factor 9 - 7*i**2 - j*i**2 - 67 - 90*i - 2*i**3 - 42.
-2*(i + 2)*(i + 5)**2
Factor -74060*y - 194672 - 267*y**3 + 187*y**3 - 7452*y**2 - 4*y**4 - 212*y**3.
-4*(y + 4)*(y + 23)**3
Let x(z) be the first derivative of -z**5/80 - z**4/8 - 3*z**3/8 - z**2/2 + 24*z + 33. Let j(k) be the first derivative of x(k). Suppose j(i) = 0. Calculate i.
-4, -1
Let i(u) be the second derivative of -u**7/21 - 473*u**6/20 + 7523*u**5/40 - 554*u**4 + 2159*u**3/3 - 360*u**2 - 2*u + 992. Find f, given that i(f) = 0.
-360, 1/4, 1, 2
Let q be (-3)/(6/(-10)) + 39 + -41. Let t(p) = p**2 + p + 2. Let z(o) = -30*o - 36. Let h(i) = q*t(i) + z(i). Factor h(l).
3*(l - 10)*(l + 1)
Let r(y) be the third derivative of y**6/120 + y**5/60 + 51*y**2. Let n(h) = -40*h**3 + 4*h**2 + 12*h - 16. Let q(b) = n(b) + 20*r(b). Factor q(z).
-4*(z - 1)**2*(5*z + 4)
Let m be 3 + 1 + ((-3146)/1056)/(6/8). Let s(z) be the first derivative of -2/9*z**2 - 17 - 4/9*z + 1/27*z**3 + m*z**4. Factor s(w).
(w - 2)*(w + 1)*(w + 2)/9
Let w = -330 + 339. Suppose 50*v**4 - 47*v**4 + 5*v**3 - 15*v**2 - 2*v**3 + w*v**3 = 0. What is v?
-5, 0, 1
Let x(f) = -128*f**4 + 56*f**3 - 280*f**2 + 672*f. Let o(w) = 9*w**4 - w**3 - w**2 + w. Let z(g) = -28*o(g) - 2*x(g). Find p such that z(p) = 0.
0, 7
Let t(h) = 2*h**2 + 10*h + 51. Let c be t(-7). Suppose -2*m + 83 = c. Factor -8/11*g + 2/11*g**m + 8/11.
2*(g - 2)**2/11
Let u(g) be the first derivative of 2*g**5/45 + g**4/3 + 22*g**3/27 + 2*g**2/3 - 4. Factor u(q).
2*q*(q + 1)*(q + 2)*(q + 3)/9
Let -193/3*u + 62/3*u**2 + 130/3 + 1/3*u**3 = 0. Calculate u.
-65, 1, 2
Let l be (-16 - 22/(836/(-855)))*(-4)/(-13). Let i be (-5 + 7)*(-2)/(-12). What is f in 2/3*f - 1/3*f**3 + i*f**l + 0 = 0?
-1, 0, 2
Suppose -5*b + 252 = 7*b. Let s(g) be the first derivative of 3/8*g**2 - b - 1/4*g**3 + 3/2*g. Factor s(v).
-3*(v - 2)*(v + 1)/4
Factor 2316484*q + 3044*q**2 + 1762844324/3 + 4/3*q**3.
4*(q + 761)**3/3
Suppose -2 = -144*c + 143*c. Solve -12*b**3 - 12 - 8 - 4*b**4 - 8*b**c + 21 - 1 = 0.
-2, -1, 0
Let q = -15079 - -45262/3. Let g be 3 - (-140)/24 - 3. Suppose g*y + q - 5/6*y**3 - 10/3*y**2 = 0. Calculate y.
-5, -1, 2
Suppose 10 + 81/5*j**2 + 1/5*j**4 + 23*j + 17/5*j**3 = 0. What is j?
-10, -5, -1
Let t = -185 - -281. Solve -20*x**2 - 1656 + 71*x**2 + t*x + 1644 = 0 for x.
-2, 2/17
Let u = -242 + 266. Factor -13*g**3 - 21*g + u*g**2 + g**3 + 9*g**3.
-3*g*(g - 7)*(g - 1)
Let k(a) be the third derivative of a**5/12 + 165*a**4/8 - 250*a**3/3 - 14*a**2 - 2*a + 1. Factor k(n).
5*(n - 1)*(n + 100)
Let r(m) be the second derivative of m**7/10080 + 23*m**4/6 + m**3/6 + 27*m. Let u(y) be the third derivative of r(y). Factor u(j).
j**2/4
Factor -435*x**2 - 666*x**2 - 7039*x**4 - 627*x**3 - 846*x - 240 - 3*x**5 + 6904*x**4.
-3*(x + 1)**3*(x + 2)*(x + 40)
Let v be (-2 + 8/6)*(61 + -52). Let o be v/(-10) + 204/170. Let o*m + 2/5 + 4/5*m**2 = 0. Calculate m.
-2, -1/4
Let b be (-4)/(4/36*12). Let s be b + -1 + -3 + 9. Find f, given that 0 + 0*f + 1/6*f**3 + 1/6*f**5 + 0*f**s - 1/3*f**4 = 0.
0, 1
Let j(s) = 22*s + 162. Let o be j(-9). Let n be 9 + -5 + (28/o - 3). Factor 4/9 + 2/9*i - n*i**3 - 4/9*i**2.
-2*(i - 1)*(i + 1)*(i + 2)/9
Let g(y) be the third derivative of -4*y**3 + 1/30*y**5 + 71*y**2 + 0 + 0*y - 1/12*y**4. Let g(m) = 0. What is m?
-3, 4
Let p(m) be the third derivative of -35*m**8/48 - 3*m**7 + 577*m**6/24 - 67*m**5/6 - 95*m**4/2 - 100*m**3/3 - 797*m**2. What is t in p(t) = 0?
-5, -2/7, 1, 2
Let r = -220 - -241. Suppose -25*h + 8 = -r*h. What is a in -16/5*a + 14/5 + 2/5*a**h = 0?
1, 7
Suppose -72 = -3*m - 66. Suppose 0 = w + 3*s - 2, 2*w + 5*s - 8 = -m*w. Factor -2*f - 8*f**2 + 7*f + 5*f - 95 + 91 + w*f**3.
2*(f - 2)*(f - 1)**2
Let r = -367 - -369. Solve -3*m**4 + 581*m**3 - 11*m**2 + 83*m**r - 611*m**3 = 0.
-12, 0, 2
Let v = -33071 + 33071. Let q = 19 - 19. Suppose -9/2*t**4 - t**2 + v + q*t + 11/2*t**3 = 0. Calculate t.
0, 2/9, 1
Let t = 19/16 - 1027/272. Let k = -186/85 - t. Let 1/5*s**4 + s**3 + 7/5*s + 9/5*s**2 + k = 0. Calculate s.
-2, -1
Let z(i) be the second derivative of -1/36*i**4 - 137*i + 0*i**3 + 0 + 0*i**2. Let z(x) = 0. Calculate x.
0
Factor -249*g**3 + 1353*g + 1262 + 433*g**2 + 246*g**3 + 340 - 685*g**2.
-3*(g - 6)*(g + 1)*(g + 89)
Let k = -62 + 65. Solve 600*n**4 + 16*n - 302*n**4 + 0*n - 302*n**4 + 4*n**2 - 16*n**k = 0.
-4, -1, 0, 1
Let f(x) = 4*x**3 + 5904*x**2 - 8. Let p(q) = -8*q**3 - 5904*q**2 + 12. Let u(h) = -3*f(h) - 2*p(h). Find t such that u(t) = 0.
0, 1476
Let h(s) = s**2 - 14*s - 14. Let d be h(7). Let l be -3 + 5 - 2 - 14/d. Factor l*t**3 - 2/9*t - 2/3*t**2 + 2/3.
2*(t - 3)*(t - 1)*(t + 1)/9
Let s be 683 + -724 - (-32668)/24. Let 1/6*l**2 + 89/3*l + s = 0. What is l?
-89
Factor -1268*p**2 + 6*p**3 - 5147*p**2 + 2645108*p + 1723956*p - 626*p**2 - 3203*p**2 + 2917264.
2*(p - 854)**2*(3*p + 2)
Suppose -3/4*o**2 + 567/2 - 3/8*o**3 + 2265/8*o = 0. What is o?
-28, -1, 27
Let b(c) be the second derivative of -19/138*c**4 + 16/115*c**5 - 1/115*c**6 + 0*c**2 - 10/69*c**3 + 84*c + 0. Let b(i) = 0. What is i?
-1/3, 0, 1, 10
Let q(n) = 65*n**3 - 95*n**2 - 90*n - 60. Let l(a) = -2*a**3 + a**2 - 5*a + 2. Let m(t) = -30*l(t) - q(t). Factor m(b).
-5*b*(b - 16)*(b + 3)
Let f(l) be the first derivative of -l**4/32 + 13*l**3/6 