(r). Find g, given that s(g) = 0.
-3, -2, 0
Suppose -50 + 270 = 5*c. Suppose -5*y - 3*f + c = 0, -3*f + 9 = 15. Determine t so that -84/5*t + y*t**2 - 8/5*t**3 + 18/5 = 0.
1/4, 3
Let b = 3235 - 3232. Let u(g) be the first derivative of 3/7*g**2 - 6 - 3/7*g - 1/7*g**b. Factor u(i).
-3*(i - 1)**2/7
Let l be (-80)/840 + (-302)/(-84). Let p(n) be the first derivative of -25*n**2 + 12*n + 8*n**3 + l*n**4 - 4. Let p(j) = 0. What is j?
-3, 2/7, 1
Let r(o) be the third derivative of -o**7/735 - o**6/420 + o**5/210 + o**4/84 + 9*o**2 + 99. Factor r(n).
-2*n*(n - 1)*(n + 1)**2/7
Let o(q) be the third derivative of q**7/105 - 13*q**6/30 + 83*q**5/10 - 260*q**4/3 + 1600*q**3/3 - q**2 + 2*q + 436. Factor o(y).
2*(y - 8)**2*(y - 5)**2
Suppose -5*p - 2*n + 5 = 0, -4*p + 2*p + 2 = n. Let y be 6/(p - (3 - (1 + 5))). Determine l, given that 0*l + 0*l**2 - 6*l**3 + 0 + y*l**4 = 0.
0, 4
Let k(i) be the first derivative of -3/28*i**4 + 0*i**2 - 66 + 13/7*i**3 + 0*i. Factor k(s).
-3*s**2*(s - 13)/7
Suppose -992 + 1498*a - 19 - 4*a**2 - 226*a + 2287 = 0. Calculate a.
-1, 319
Suppose -17*s + 23*s - 24 = 0. Let z(p) = -6*p + 24. Let c be z(s). Factor 18 + 24*x + 0*x**2 + c*x**2 - 3*x**2 - 39*x.
-3*(x - 1)*(x + 6)
Let -2/7*q**5 + 162/7*q**2 - 50/7*q**4 + 0 + 0*q + 114/7*q**3 = 0. What is q?
-27, -1, 0, 3
Let q = 804 + -798. Let a(p) be the third derivative of -1/15*p**5 + 0 + 1/120*p**q + 2/3*p**3 - 1/24*p**4 + 0*p + p**2. Let a(t) = 0. Calculate t.
-1, 1, 4
Suppose -624/7*p**2 - 972/7 - 216*p - 88/7*p**3 - 4/7*p**4 = 0. What is p?
-9, -3, -1
Determine y so that 0*y + 0 - 3/5*y**3 + 6/5*y**2 + 3/5*y**5 - 6/5*y**4 = 0.
-1, 0, 1, 2
Let d = 1261 + -1260. Let b be (6/342*19)/(d/40). Determine x so that -2/3*x**2 - 200/3 - b*x = 0.
-10
Let o(j) = 3*j**4 - 31*j**3 + 106*j**2 - 8*j - 8. Let q(l) = 4*l**4 - 40*l**3 + 141*l**2 - 11*l - 11. Let m(p) = -11*o(p) + 8*q(p). Factor m(v).
-v**2*(v - 19)*(v - 2)
Let v(r) = -3*r**4 - 23*r**3 - 163*r**2 - 341*r - 200. Let k(u) = -2*u**4 - u**2 - u. Let j(h) = k(h) - v(h). Determine c, given that j(c) = 0.
-10, -2, -1
Let w = -113903/4 - -28478. Determine b so that 6*b**2 + w*b**3 + 0 + 3*b = 0.
-2, -2/3, 0
Let w(f) = f**2 + 14646*f - 17816903. Let n(y) = 6*y**2 + 58596*y - 71267610. Let o(i) = -2*n(i) + 9*w(i). Solve o(h) = 0.
2437
Let a be 980/(-250) + (-22)/275 - -8. Factor -1/7*d**a + 0 - 5/7*d**2 + 4/7*d**3 + 2/7*d.
-d*(d - 2)*(d - 1)**2/7
Let g be 24/70 + ((-180)/(-63) - 3). Let j(y) be the first derivative of 0*y - 1/3*y**3 + 0*y**4 + 11 + g*y**5 + 0*y**2. Factor j(r).
r**2*(r - 1)*(r + 1)
Let a be (-76)/(-114) - 1/6. Let j(z) be the first derivative of -1/6*z**3 + 16 + a*z + 1/16*z**4 - 1/8*z**2. Solve j(k) = 0.
-1, 1, 2
Let m be -28 + (-119)/(-136)*32. Factor 0*q - 2/5*q**2 + q**3 - 4/5*q**4 + 1/5*q**5 + m.
q**2*(q - 2)*(q - 1)**2/5
Let t(i) be the first derivative of -i**3/6 + 79*i**2/2 - 1057*i/2 - 13161. Factor t(j).
-(j - 151)*(j - 7)/2
Let 7*z**3 - 30*z**4 - 50*z**4 - 30*z**2 + 168*z**3 = 0. Calculate z.
0, 3/16, 2
Let s(u) = -u**2 - 10*u - 14. Let t be s(-7). Suppose 4*q + 63 = t*q. Let 16*a - 18*a**3 + 8 + 41*a**3 + 10*a**2 - q*a**3 = 0. What is a?
-2, -1
Find a such that -131 + 1/2*a**2 + 129/2*a = 0.
-131, 2
Let c(o) be the third derivative of 2*o**4 - 29/6*o**3 - 14/15*o**5 + 0*o - 40*o**2 - 1/18*o**6 + 0. Let m(j) be the first derivative of c(j). Factor m(u).
-4*(u + 6)*(5*u - 2)
Let q = -327 + 462. Let 12*b**2 - q*b - 70 - 77*b**2 + 5*b**3 + 5*b**2 = 0. What is b?
-1, 14
Suppose 0*r - 5 = 5*r - 5*q, 0 = 4*q - 4. Let o(c) be the first derivative of -2/39*c**3 + r*c - 2/65*c**5 - 8 + 1/13*c**4 + 0*c**2. Find g such that o(g) = 0.
0, 1
Let o(h) be the first derivative of -4*h**6/15 + 94*h**5/25 - 27*h**4/4 - 52*h**3/15 + 2*h**2 - 4085. Suppose o(a) = 0. Calculate a.
-1/2, 0, 1/4, 2, 10
Let l(u) = 6*u**3 - 26*u**2 - 16*u + 90. Let t(k) = 37*k**3 - 157*k**2 - 96*k + 537. Let z(w) = -13*l(w) + 2*t(w). Determine f, given that z(f) = 0.
-2, 2, 6
What is l in 0 + 30*l**2 + 27/7*l**3 - 48/7*l = 0?
-8, 0, 2/9
Let o(x) be the first derivative of 25/4*x**4 + 37 + 70/3*x**3 - 111/2*x**2 + 36*x. Let o(c) = 0. Calculate c.
-4, 3/5
Let u(z) be the first derivative of 5*z**6/12 - 3*z**5 + 5*z**4 + 40*z**3/3 - 60*z**2 + 80*z + 1983. Find l, given that u(l) = 0.
-2, 2
Determine r so that -436178/3*r - 934/3*r**2 - 203695126/9 - 2/9*r**3 = 0.
-467
Suppose 113*q - 1/2*q**3 + 17/2*q**2 + 104 = 0. Calculate q.
-8, -1, 26
Let s be 594/8 - (-4 + 2)/(-8). Let u = s + -72. Factor 7*o**4 - o**4 - 3*o**4 - 3*o**3 - 3*o**u + 3*o**5.
3*o**2*(o - 1)*(o + 1)**2
Suppose -107*m = -184*m + 231. Let v(q) be the third derivative of 1/24*q**4 - 1/120*q**6 + 0*q + 0 - 1/2*q**m + 21*q**2 + 1/20*q**5. Factor v(i).
-(i - 3)*(i - 1)*(i + 1)
Let y(n) be the third derivative of 0*n**3 - 11/120*n**5 - 4*n - n**2 + 0 + 1/24*n**4 + 1/15*n**6 - 1/60*n**7. Determine h so that y(h) = 0.
0, 2/7, 1
Let -43*v**3 + 11520*v + 0 - 672*v**2 - 1/2*v**4 = 0. What is v?
-48, 0, 10
Let c = 1936 + -2173. Let x be -1 + c/(-153) - (-82)/697. Factor 0 - 2/3*p**5 + 0*p + 2/3*p**3 + x*p**2 - 2/3*p**4.
-2*p**2*(p - 1)*(p + 1)**2/3
Let y(n) be the second derivative of -5*n**4/12 - 305*n**3/3 + 1875*n**2/2 - 2*n - 1188. Solve y(b) = 0 for b.
-125, 3
Let a(f) be the third derivative of f**6/120 - f**4/12 + f**3/6 - 260*f**2. Let t(g) = 4*g**3 - 14*g**2 - 60*g - 38. Let x(b) = 2*a(b) - t(b). Factor x(j).
-2*(j - 10)*(j + 1)*(j + 2)
Determine y so that -13*y - 16*y - y + 7*y + 3*y**4 - 25*y - 42*y**3 - 93*y**2 = 0.
-1, 0, 16
Let i(m) be the second derivative of 0 + 1/3*m**4 - 36*m + 12*m**2 - 14/3*m**3. Factor i(c).
4*(c - 6)*(c - 1)
Let d(l) = -15*l**2 + 5*l + 4. Let i be d(-1). Let w be (-44)/80 - 12/i. Factor 0 - w*s**5 - 4/5*s + 12/5*s**2 + 6/5*s**4 - 13/5*s**3.
-s*(s - 2)**2*(s - 1)**2/5
Let b = 356 + -353. Factor 3*l**b - 2*l**2 - 531 + 47*l**2 - 198 + 81*l.
3*(l - 3)*(l + 9)**2
Let p(u) be the first derivative of 27*u**5/25 - 2*u**3 + 3*u/5 + 2798. Find s such that p(s) = 0.
-1, -1/3, 1/3, 1
Let p be 16/80*(-5)/(-12). Let o(d) be the second derivative of p*d**4 - 1/6*d**3 + 0 + 0*d**2 - 10*d. Factor o(b).
b*(b - 1)
Let q(a) be the third derivative of a**8/336 - 4*a**7/105 + a**6/8 + 2*a**5/15 - 2*a**4/3 - 653*a**2. Factor q(k).
k*(k - 4)**2*(k - 1)*(k + 1)
Solve 460*l**3 + 3*l**4 + 101*l**2 - 268*l**3 - 101*l**2 = 0 for l.
-64, 0
Factor 16*s**2 - 2*s**3 + 3*s - 2*s + 2*s**2 - 9*s**4 - 25*s + 35*s**3.
-3*s*(s - 4)*(s + 1)*(3*s - 2)
Let g = -165536 + 165538. Factor 1 - 2/3*f - 1/3*f**g.
-(f - 1)*(f + 3)/3
Let g(j) be the second derivative of -j**7/189 + 2*j**6/27 - j**5/10 + 125*j. Suppose g(t) = 0. What is t?
0, 1, 9
Suppose 302*g - 1310*g = -1008. Factor 5/4*t**2 + 2*t - g.
(t + 2)*(5*t - 2)/4
Suppose -1/7*q**2 + 54/7 - 15/7*q = 0. What is q?
-18, 3
Let v(h) be the third derivative of 0*h - 1/720*h**6 + 1/120*h**5 - 21*h**2 + 7/9*h**3 + 0 + 1/6*h**4. Factor v(d).
-(d - 7)*(d + 2)**2/6
Let s(r) be the second derivative of -r**4/12 - 163*r**3/3 + 327*r**2/2 - 6125*r. Factor s(q).
-(q - 1)*(q + 327)
Factor -2/3*w**2 + 71*w - 105.
-(w - 105)*(2*w - 3)/3
Suppose 6*x - 40 = 14. Factor x*s**3 - 32*s**2 + 12*s + 2*s**3 + 0*s**5 - 4*s**5 + 13*s**3.
-4*s*(s - 1)**3*(s + 3)
Factor -3/2*x**4 + 0 - 39/2*x**3 + 0*x + 21*x**2.
-3*x**2*(x - 1)*(x + 14)/2
Let q(y) = -92*y - 3493. Let m be q(-38). Let 3/2*x - 3/2*x**2 - 3/2*x**m + 3/2 = 0. What is x?
-1, 1
Let i(j) be the third derivative of -j**7/315 - 41*j**6/60 + 83*j**5/30 - 125*j**4/36 - 735*j**2. Suppose i(v) = 0. Calculate v.
-125, 0, 1
Let w(a) be the third derivative of -8/3*a**3 + 1/15*a**6 - 1/336*a**8 - 10*a + 2/15*a**5 + 0 - 2/3*a**4 + a**2 - 1/210*a**7. Suppose w(z) = 0. Calculate z.
-2, -1, 2
Let q(s) be the second derivative of s**4/20 - 93*s**3/10 - 57*s**2 - 9*s - 45. Suppose q(a) = 0. What is a?
-2, 95
Find k such that 0*k**3 + 48 + 1420/3*k**2 - 340/3*k**4 - 320*k + 24*k**5 = 0.
-2, 2/9, 1/2, 3
Let j(p) = 12*p**3 - 171*p**2 + 630*p - 507. Let a(c) = -3*c**3 + 43*c**2 - 158*c + 126. Let h(k) = 9*a(k) + 2*j(k). Factor h(t).
-3*(t - 10)*(t - 4)*(t - 1)
Let d(n) be the first derivative of n**7/56 - 5*n**6/9 - 7*n**5/6 + 2*n**3/3 + 4*n**2 + 98. Let z(w) be the third derivative of d(w). Factor z(h).
5*h*(h - 14)*(3*h + 2)
Let z(k) be 