. Calculate a.
-1, 2/7, 3/5
Suppose -4/3*r**2 - 76/3*r + 2888/3 = 0. What is r?
-38, 19
Let v(h) = 70*h - 5460. Let r be v(78). Let m(g) be the first derivative of -1/3*g**3 + r*g + 3/2*g**2 - 52. Suppose m(x) = 0. Calculate x.
0, 3
Suppose -2*z - 855 = y, 3*z + 846 = -2*y - 437. Let g = 429 + z. Suppose 10/23 + 6/23*q**4 - 48/23*q**g - 12/23*q - 20/23*q**3 = 0. Calculate q.
-1, 1/3, 5
Let z(u) = -102*u**2 + 460*u - 1986. Let l(q) = 22*q**2 - 92*q + 397. Let j(c) = 28*l(c) + 6*z(c). What is s in j(s) = 0?
-50, 4
Let a(m) be the second derivative of m**4/4 - 21*m**3 + 324*m**2 - 3752*m. Factor a(d).
3*(d - 36)*(d - 6)
Let j be ((-14)/1)/(9 + (-455)/49). Solve 22*i - j*i + 8 - 5*i**2 + 22 + 22*i = 0.
-3, 2
Let r(z) be the second derivative of 0 + 45*z + 0*z**2 - 1/8*z**3 + 1/160*z**5 - 1/96*z**4. Determine d so that r(d) = 0.
-2, 0, 3
Let y(b) = b**3 + 36*b**2 + 46*b - 116. Let a be y(-34). Factor -5086 - 161*m + a - 199*m - 4*m**2 - 3646.
-4*(m + 45)**2
Factor 0*x + 0 - x**3 - 6/5*x**2 + 1/5*x**5 + 2/5*x**4.
x**2*(x - 2)*(x + 1)*(x + 3)/5
Let k(v) be the first derivative of 26*v - 28/3*v**3 + 6*v**4 - 22 - 12*v**2 + 2/5*v**5. Find i such that k(i) = 0.
-13, -1, 1
Suppose 2/3*z**3 - 40*z + 56/3*z**2 + 0 = 0. Calculate z.
-30, 0, 2
Let w(h) = 11*h**3 + 748*h**2 + 30334*h + 109538. Let t(s) = 175*s**3 + 11970*s**2 + 485345*s + 1752605. Let j(n) = -6*t(n) + 95*w(n). Factor j(r).
-5*(r + 4)*(r + 74)**2
Let t be (-2 - (-4 - (-4)/(-3)))/((-1680)/(-672)). Factor -2*l**2 - t*l**4 + 0 + 1/3*l**5 + 0*l - 11/3*l**3.
l**2*(l - 6)*(l + 1)**2/3
Let t(h) be the second derivative of -135*h**7/7 + 404*h**6/15 + 608*h**5/5 - 337*h**4 + 805*h**3/3 + 2*h**2 - 781*h. Determine g, given that t(g) = 0.
-2, -1/405, 1
Let x be 122/63 - 1534/(-5369). Let 16/9*h**5 + 4/9*h**3 - 52/9*h**2 - x*h + 8/9 + 44/9*h**4 = 0. Calculate h.
-2, -1, 1/4, 1
Let u(x) = x**2 - 270*x - 817. Let j be u(-3). Let g(v) be the second derivative of -6/5*v**3 + 30*v - 1/30*v**4 - 81/5*v**j + 0. Find h such that g(h) = 0.
-9
Suppose 2/5*b**3 - 1162*b - 2902/5*b**2 - 2906/5 = 0. Calculate b.
-1, 1453
Let x(g) be the third derivative of -g**7/1050 + 23*g**6/600 + 58*g**5/75 + 62*g**4/15 + 1416*g**2. Factor x(t).
-t*(t - 31)*(t + 4)**2/5
Factor 8*v + 24*v**5 + 2*v**3 - 3632*v**2 + 3*v**4 + 3620*v**2 - 25*v**5.
-v*(v - 2)**2*(v - 1)*(v + 2)
Let z(s) be the third derivative of -s**2 + 0*s**3 + 0*s**4 - 1/280*s**6 - 1/490*s**7 + 0*s - 60 + 1/70*s**5. Factor z(m).
-3*m**2*(m - 1)*(m + 2)/7
Let g(k) be the third derivative of k**8/112 + 2*k**7/35 - 13*k**6/40 - k**5/5 + 3*k**4/2 - 6*k**2 + 181. Solve g(v) = 0 for v.
-6, -1, 0, 1, 2
Suppose 0 = 5*x + 10*n - 9*n - 2999, -3*x - 2*n + 1805 = 0. Find s such that -x + 6*s**2 - 2*s**3 + 599 + 8*s = 0.
-1, 0, 4
Let q(u) be the second derivative of -u**8/336 + u**7/105 + u**6/120 - u**5/30 - 3*u**2/2 + 13*u. Let b(k) be the first derivative of q(k). Factor b(z).
-z**2*(z - 2)*(z - 1)*(z + 1)
Suppose 0 = -45*m + 40*m - 60. Let q be m/8 + (-143)/(-52). Factor 5*y**4 + q*y**2 + 0*y + 25/4*y**3 + 0.
5*y**2*(y + 1)*(4*y + 1)/4
Let n(b) be the first derivative of 2*b**5/25 - b**4/10 - 44*b**3/15 + 8*b**2 + 2886. Find v such that n(v) = 0.
-5, 0, 2, 4
Let v(f) be the second derivative of -f**5/20 - 2*f**4/5 - 31*f**3/30 - 6*f**2/5 - f + 990. Factor v(d).
-(d + 1)*(d + 3)*(5*d + 4)/5
Factor -24*r - 20*r**2 + 4*r**2 + 14*r**2 + 5*r**2 + 45.
3*(r - 5)*(r - 3)
Let v(p) = 11*p**4 + 37*p**3 - 71*p**2 + 41*p - 6. Let u(z) = -9*z**4 - 37*z**3 + 71*z**2 - 40*z + 5. Let d(m) = 6*u(m) + 5*v(m). Factor d(r).
r*(r - 35)*(r - 1)**2
Determine x so that 1/3*x**3 + 0 + 20/9*x + 17/9*x**2 = 0.
-4, -5/3, 0
Let o(p) be the second derivative of 0 + 1/14*p**7 - 13/10*p**6 + 134*p + 0*p**3 + 21/4*p**5 + 49/4*p**4 + 0*p**2. Solve o(w) = 0.
-1, 0, 7
Suppose v - 47 = 2*c, -65 + 27 = 2*c + 2*v. Let s be (-4)/c*-3*182/(-546). Factor -6/11*i - 4/11 + s*i**3 + 0*i**2.
2*(i - 2)*(i + 1)**2/11
Let c(b) be the first derivative of -38/3*b**2 + 80/3*b + 132 - 4/9*b**3. Factor c(f).
-4*(f - 1)*(f + 20)/3
Find a such that 352/3*a - 4/3*a**2 + 364 = 0.
-3, 91
Let w be 13 + (-17)/((-153)/36). Let n(j) be the first derivative of -1/27*j**3 - w - 1/18*j**2 + 0*j. Determine k, given that n(k) = 0.
-1, 0
Let q(j) be the third derivative of -j**6/420 - 2327*j**5/210 - 16102*j**4 + 451632*j**3/7 + 103*j**2 + 11. Let q(u) = 0. What is u?
-1164, 1
Let n = 483 - 478. Factor -3*m**5 - 5*m**3 + 2*m**4 + 6*m**3 - n*m**3 - 2*m**5 + 7*m**5.
2*m**3*(m - 1)*(m + 2)
Let u = 171073/13275 - -3/1475. Let t = u + -38/3. Determine k, given that 16/9*k**3 + 0 - 32/9*k**2 + 0*k - t*k**4 = 0.
0, 4
Let g(k) be the second derivative of -k**5/20 + 7*k**4/12 - 3*k**3/2 + k**2/2 - 3*k. Let l be g(5). Let 351*d - l - 341*d + d**2 + 31 = 0. Calculate d.
-5
Let q(z) be the third derivative of z**5/240 - 1343*z**4/24 + 1803649*z**3/6 + 6162*z**2. Factor q(t).
(t - 2686)**2/4
Let u(f) be the third derivative of 22*f**2 + 253/30*f**5 + 14*f**4 + 0*f + 12*f**3 + 121/60*f**6 + 0. Find n such that u(n) = 0.
-1, -6/11
Let d(x) be the first derivative of x**3/9 + 65*x**2/6 - 22*x + 1226. What is g in d(g) = 0?
-66, 1
Suppose -108*j**3 + 752 + 1124*j + 100*j**2 + 171*j**3 - 65*j**3 + 270*j**2 = 0. What is j?
-2, -1, 188
Let p(h) be the third derivative of 2*h**2 - 5/42*h**4 + 1/30*h**5 + 0*h + 22 - 1/420*h**6 + 0*h**3. Let p(k) = 0. What is k?
0, 2, 5
Let j = 189359/4 + -47339. Factor 9/2 + j*d**2 + 15/4*d.
3*(d + 2)*(d + 3)/4
Let s = 119 - 114. Let c(r) = -r + 16. Let m be c(13). Find o, given that -8*o + 5*o + 6*o**m + 25*o**2 - 26*o**3 - 7*o + s*o**4 = 0.
0, 1, 2
Factor -167 - 334 + 241 - 12*q - q**2 + 69*q.
-(q - 52)*(q - 5)
Let a(g) be the third derivative of -5/3*g**3 + 1/3*g**5 - 2*g - 1/12*g**6 - 1/21*g**7 + 5/336*g**8 - 85*g**2 + 5/24*g**4 + 0. Suppose a(d) = 0. Calculate d.
-1, 1, 2
Let f = 198 - 153. Determine r, given that -73*r**2 + 512 - 2*r + 75*r**2 - f*r - 17*r = 0.
16
Let l(t) be the first derivative of 1/2*t**4 - 178 - 28/3*t**3 - 144*t + 60*t**2. Let l(i) = 0. What is i?
2, 6
Let d(q) be the third derivative of q**5/20 - 11*q**4/8 + 17*q**3/3 - 8*q**2 - 36. Let c be d(10). Factor m**3 + 7/2*m + m**c - 4*m**2 - 1/2*m**5 - 1.
-(m - 1)**4*(m + 2)/2
Let r = -2 - -6. Let n(z) be the first derivative of -z**3/3 - z + 16. Let u(k) = -k**4 + k**3 - 3*k**2 - k - 4. Let o(d) = r*n(d) - u(d). Factor o(f).
f*(f - 1)**2*(f + 1)
Let n(d) = 3*d**2 + d - 9. Let o(x) = -x + 1. Suppose -26 = -a - 4*y, y + 1 = -0. Let t = -45 + a. Let v(k) = t*o(k) - 3*n(k). Find c, given that v(c) = 0.
-2/3, 2
Let b be (9 + (9 - 13))*(-2)/(-2). Suppose 0 = -b*s - 98 + 108. Factor -8/3*l + 16/3 + 1/3*l**s.
(l - 4)**2/3
Let i be -10*25/(-40) + 2/(-8). Suppose 14*n - i*n = -19*n. Factor n + 12/5*r**4 + 0*r + 0*r**2 - 12/5*r**3 - 3/5*r**5.
-3*r**3*(r - 2)**2/5
Let f(r) = 2*r**5 - 52*r**4 - 230*r**3 + 282*r**2 - 2*r. Let v(c) = 2*c**4 - 2*c**3 - c**2 + c. Let k(g) = f(g) + 2*v(g). Find s, given that k(s) = 0.
-5, 0, 1, 28
Suppose -73*r + 189 = 3*r - 13*r. Let z(d) be the first derivative of -19 + 0*d - 1/6*d**r + 7/4*d**2. Factor z(a).
-a*(a - 7)/2
Let j be (24/(-14))/(16/(-56)). Let n(u) be the third derivative of 0 + 0*u + 1/360*u**j - 5*u**2 + 0*u**3 + 0*u**4 - 1/180*u**5. Factor n(w).
w**2*(w - 1)/3
Suppose -2*s - 255 = -7*s. Suppose s = -m + 54. Factor 10*z**m + z**4 + z**4 - 4*z**3 + 0*z**3 - 8*z.
2*z*(z - 1)*(z + 2)**2
Let c(a) be the second derivative of a**2 - 1/12*a**4 + 0 + 10*a - 1/30*a**6 - 3/20*a**5 + 1/2*a**3. Find h, given that c(h) = 0.
-2, -1, 1
Let r(g) be the second derivative of g**7/14 + g**6/5 - 39*g**5/20 - 7*g**4/2 + 12*g**3 - 1625*g. Solve r(o) = 0.
-4, -2, 0, 1, 3
Let o be ((-8)/(-10))/(10/(-25)). Let a be 3 + o - (8 - 9). Suppose -2 - 5*n**a - 12 - 10 + 4 + 20*n = 0. Calculate n.
2
Let o(n) be the second derivative of -n**4/30 - n**3/3 + 126*n**2/5 - 5673*n. Factor o(p).
-2*(p - 9)*(p + 14)/5
Let b(x) be the first derivative of -2*x**6/3 + 728*x**5 - 908*x**4 - 3640*x**3/3 + 1818*x**2 - 9457. Determine d so that b(d) = 0.
-1, 0, 1, 909
Factor -9/4*l**3 - 6 - 3/8*l**2 - 3/8*l**4 + 9*l.
-3*(l - 1)**2*(l + 4)**2/8
Let a be -4*((2 - 6) + 26/8). Let w be ((-37)/333)/(a/(-54)). Suppose 0 + 0*f - 2/7*f**w + 1/7*f**3 = 0. Calculate f.
0, 2
Let 