(w). Find r such that t(r) = 0.
-3, -1
Let f(p) = 4*p**2 + 3*p + 1. Suppose 5 = -3*m - 2*s, 3*s + 4 = -m - 0*s. Let x be f(m). Factor 5*b**x - 6*b**3 + 2*b**4 - 6*b**2 - 7*b**2.
2*b**2*(b - 4)*(b + 1)
Let p(w) = 8*w**3 + 72*w**2 - 19*w - 50. Let o(c) = 3*c**3 + 25*c**2 - 6*c - 16. Let k(x) = -11*o(x) + 4*p(x). Factor k(n).
-(n - 12)*(n - 2)*(n + 1)
Let u = 59085 - 177251/3. Factor -4 + 1/3*j**2 - u*j.
(j - 6)*(j + 2)/3
Let w be (-23)/(-7) + (-11 + 2)*30/90. Let t(j) be the first derivative of 1/7*j**4 + 6/35*j**5 - 3/7*j**2 + 17 + 1/21*j**6 - w*j - 4/21*j**3. Factor t(o).
2*(o - 1)*(o + 1)**4/7
Let s = 3204 - 3179. Let c(z) be the third derivative of -1/420*z**7 + 0*z**6 + 1/6*z**4 + 0*z + 1/4*z**3 + 1/20*z**5 + s*z**2 + 0. Factor c(p).
-(p - 3)*(p + 1)**3/2
Suppose -30 + 150 = 14*d + 26*d. Let q(g) be the first derivative of 35 - 1/3*g**d + 5/2*g**2 - 4*g. Suppose q(k) = 0. Calculate k.
1, 4
Solve 481756941 - 40575*f**2 - 76472057273 - 109755375*f - 22972462793 - 5*f**3 = 0.
-2705
Suppose 176 = -7*b + 11*b. What is t in b*t**2 + 12*t - 4*t**4 + 6*t**3 - 18*t**3 - 8082 + 8042 = 0?
-5, -1, 1, 2
Let y be ((-26296)/(-969) - 13)*(13 + 0). Let m = -551/3 + y. Factor m*r**3 - 8/17*r + 0 + 6/17*r**2.
2*r*(r - 1)*(r + 4)/17
Factor 42*o - 124*o + 252596*o**2 - 252592*o**2 + 864 - 38*o.
4*(o - 18)*(o - 12)
Let x(t) = t**3 - 23*t**2 - 261*t - 3. Let y(w) = -8*w**3 + 208*w**2 + 2348*w + 28. Let g(l) = 28*x(l) + 3*y(l). Solve g(n) = 0 for n.
-6, 0, 11
Let p(y) = -y**3 + 5*y**2 + 4*y - 14. Let d(c) = -16*c + 115. Let h be d(7). Let z(v) = -3*v**3 + 11*v**2 + 8*v - 26. Let l(m) = h*z(m) - 5*p(m). Factor l(q).
-4*(q - 2)*(q - 1)*(q + 1)
Suppose 10 = -5*u + 5*n + 230, 0 = 4*n - 8. Suppose -u*d**2 - 8*d**3 + 1211*d**4 - 1213*d**4 - 23*d - 7*d**3 - 5*d**3 - 5*d = 0. Calculate d.
-7, -2, -1, 0
Let l(j) = -j**3 + 373*j**2 - 154587*j + 11697083. Let z(g) = g**3 - 417*g**2 + 154587*g - 11697083. Let v(h) = 6*l(h) + 7*z(h). Factor v(n).
(n - 227)**3
Let w = 8452 - 8452. Let v(k) be the first derivative of 27/16*k**2 + w*k + 3/32*k**4 + 3/4*k**3 - 24. Let v(a) = 0. What is a?
-3, 0
Let r be 25 + 2727/189 + -39. Find t, given that -27/7*t + r*t**2 + 0 = 0.
0, 9
Let d(s) = -s**2 + 10*s + 7. Let r(x) be the second derivative of -x**4/12 + 11*x**3/6 + 9*x**2/2 + x + 36. Let c(h) = 3*d(h) - 4*r(h). Factor c(m).
(m - 15)*(m + 1)
Let w(k) be the third derivative of -k**10/6048 + k**8/448 + k**7/252 + 5*k**4/24 - 3*k**3/2 + 5*k**2. Let y(a) be the second derivative of w(a). Factor y(g).
-5*g**2*(g - 2)*(g + 1)**2
Suppose -o - 2*j + 2 = 0, 0 = 20*o - 15*o - 5*j - 10. Let q(y) be the first derivative of -1/2*y**4 - 1/5*y**5 + 0*y - 17 + 0*y**o + 0*y**3. Factor q(t).
-t**3*(t + 2)
Let x(p) be the first derivative of 0*p - 45 - 9*p**2 - 1/10*p**5 - 11/2*p**3 - 5/4*p**4. Factor x(i).
-i*(i + 3)**2*(i + 4)/2
Solve 16*g**2 - 31*g**2 - 2769*g + 497*g + 19*g**2 = 0.
0, 568
Let o(c) be the second derivative of -7*c**5/20 - 8*c**4 + 42*c**3 - 32*c**2 - 1120*c. Factor o(k).
-(k - 2)*(k + 16)*(7*k - 2)
Let p(r) be the first derivative of 55/2*r**2 + 50*r + 5/3*r**3 - 56. Factor p(w).
5*(w + 1)*(w + 10)
Let b be (-4)/9*(-3)/2 - 0. Suppose 4*j + 5*f + 3 = 24, 11 = 3*j - f. What is a in 2/9*a**j + 0 + 0*a - b*a**2 + 4/9*a**3 = 0?
-3, 0, 1
Suppose 869 = 114*r - 1443 - 424. Let s(t) be the second derivative of r*t - 10/3*t**3 + 0 - 5/12*t**4 + 0*t**2. Suppose s(q) = 0. Calculate q.
-4, 0
Let u be -1 + (-5045)/(-4) - 50/200. Factor u*m**2 + 6*m**3 - m**3 + 120 - 1240*m**2 - 145*m.
5*(m - 3)*(m - 1)*(m + 8)
Let -3/4*w**2 + 171 + 24*w = 0. What is w?
-6, 38
Let q(h) = 1994*h + 47859. Let o be q(-24). Determine r, given that -2/7*r + 2/7*r**o - 2/7*r**2 + 2/7*r**4 + 0 = 0.
-1, 0, 1
Let m(n) be the third derivative of -n**7/2520 + n**5/120 - n**4/36 + 4*n**3 + 16*n**2. Let a(k) be the first derivative of m(k). Factor a(w).
-(w - 1)**2*(w + 2)/3
Let o be (-2412)/(-30) - (-269 - -347). Let -o - 44/5*d - d**3 - 37/5*d**2 = 0. Calculate d.
-6, -1, -2/5
Let m be (3/(-6))/((28/1504)/7). Let o = m - -190. Solve -10/3*j**3 + 0*j**o + 0 + 2/3*j**4 + 0*j = 0 for j.
0, 5
Suppose 106*o + 4 = 110*o. Let r be 0*(-1)/(-6)*o*2. Determine t so that -1/2*t**2 + 0 + r*t - 3/4*t**3 = 0.
-2/3, 0
Let v be (6 - 1) + (18 - 14). Let a be -2 + ((-336)/(-18) - 6/v). Let -5748*b**3 - 2*b**4 + 5738*b**3 - 2*b - a*b**2 - 6*b = 0. What is b?
-2, -1, 0
Factor 3504*m + 97/2*m**2 + 1/6*m**3 - 10658/3.
(m - 1)*(m + 146)**2/6
Let s = 15052 + -9940. Let a be s/(-2 - 0)*(-16)/24. Factor 1704 - a - 4*b**2 - 4*b.
-4*b*(b + 1)
Let a = 731359 + -5119512/7. Let -13/7*w - w**3 + 15/7*w**2 + a*w**4 + 4/7 = 0. What is w?
1, 4
Suppose 3*j - 12 = j. Suppose -z + j = 2*c, 3 + 12 = 5*c + 4*z. Factor -17*m + 5*m**c + 0*m**3 + 12*m.
5*m*(m - 1)*(m + 1)
Let b(f) be the first derivative of -3*f**5/20 - 81*f**4/16 - 24*f**3 + 231*f**2/2 + 4547. What is s in b(s) = 0?
-22, -7, 0, 2
Solve a**4 - 3642 - 926*a**4 + 2805*a**2 - 12*a**5 + 3022 + 920*a - 3*a**5 + 355*a**3 = 0.
-62, -1, 1/3, 2
Let h(y) be the first derivative of -10*y**3/9 - 8353*y**2/9 + 2228*y/9 + 3422. Factor h(g).
-2*(g + 557)*(15*g - 2)/9
Find n such that 110 + 353*n**2 - 192*n**2 - 191*n**2 - n**3 - 4*n**3 + 50 = 0.
-4, 2
Suppose 214*r - 444 = 66*r. Let k(f) be the second derivative of -1/9*f**r + 0 + 2/3*f**2 + 1/30*f**5 + 12*f - 1/9*f**4. Suppose k(z) = 0. What is z?
-1, 1, 2
Let n(p) = 45*p**4 + 81*p**3 - 8*p**2 + 12*p. Let j(u) = 316*u**4 + 566*u**3 - 57*u**2 + 90*u. Let h(a) = 4*j(a) - 30*n(a). Solve h(t) = 0.
-2, 0, 3/43
Let p = -577 + 148. Let g = p - -432. Find r such that 4/9*r + 2/3*r**2 + 0 + 0*r**g - 2/9*r**4 = 0.
-1, 0, 2
Let h(u) = 15*u**2 - 11*u - 2. Let a be h(1). Let r(d) be the first derivative of 3/5*d**5 - 4*d**3 + 9*d + 4 - 3/2*d**4 + 3*d**a. Find f, given that r(f) = 0.
-1, 1, 3
Suppose -71 = -5*k - 11. Suppose k*c - 22 = c. Factor -2/7 - 2/7*q**c + 4/7*q.
-2*(q - 1)**2/7
Let o(q) = q**2 - 21*q - 49. Let l be o(24). Solve 242 - 164*m**2 - 12*m**3 - 7*m**4 + 35*m**3 + 77*m + 6*m**4 + l*m**2 = 0 for m.
-1, 2, 11
Let k = -1/107660 + 1937891/1184260. Solve 2/11*x + 0 + k*x**2 = 0 for x.
-1/9, 0
Let v = 1446 - 1429. Suppose t + v = -5*b, -2 = -2*b - 10. Factor 1/4*w**t + 0 + 0*w + 1/2*w**2 - 1/4*w**4.
-w**2*(w - 2)*(w + 1)/4
Factor 370 - 35/4*x**2 + 2585/2*x.
-5*(x - 148)*(7*x + 2)/4
Let h(m) = 3*m**2 - 5*m. Let o(a) = -10*a**2 - 1400*a + 252050. Let d(f) = -4*h(f) - o(f). Factor d(s).
-2*(s - 355)**2
Determine t, given that -17/9*t - 2/9*t**2 + 23/3 = 0.
-23/2, 3
Let f(z) be the second derivative of -z**6/600 + 7*z**4/120 + z**3/5 - 39*z**2/2 + 43*z. Let x(u) be the first derivative of f(u). Solve x(o) = 0.
-2, -1, 3
Suppose -m - 2 = m. Let n be ((-24)/(-3))/(2 + m - -1). Factor 0*i**2 - n*i + 7*i**2 - 4*i**3 - 8*i + 9*i**2.
-4*i*(i - 3)*(i - 1)
Factor -2/7*h**2 - 7692/7*h - 7395858/7.
-2*(h + 1923)**2/7
Let u(d) be the third derivative of 28*d**2 + 0*d - 5/12*d**4 - 7/240*d**6 + 0 + 23/120*d**5 + 1/3*d**3. Determine q so that u(q) = 0.
2/7, 1, 2
Let m be -3 + 717 + 9 + -3. Let h be (945/m)/(3/2). Factor 5/8*l**2 - 1/8*l**3 + h + 13/8*l.
-(l - 7)*(l + 1)**2/8
Let s(n) be the first derivative of 53*n**4/42 - 152*n**3/63 - 20*n**2/7 - 12534. Factor s(m).
2*m*(m - 2)*(53*m + 30)/21
Let n(j) be the first derivative of j**3/21 - 31*j**2/14 - 690*j/7 + 987. Factor n(r).
(r - 46)*(r + 15)/7
Let g(d) be the third derivative of 3*d**5/110 + 4237*d**4/132 - 314*d**3/11 + d**2 + 231*d + 2. Factor g(f).
2*(f + 471)*(9*f - 2)/11
Let h(c) be the second derivative of -c**6/50 - 111*c**5/100 - 71*c**4/20 - 7*c**3/2 - 1142*c. Solve h(m) = 0 for m.
-35, -1, 0
Suppose -4*c - 949 - 207 = -4*u, 2*c = -u + 286. Solve -h**3 + u - 55*h + 3*h**3 - 44*h + 14*h**2 + 6*h**2 - 75*h = 0 for h.
-16, 3
Let s(j) be the first derivative of -1369/3*j**3 + 38 - 4*j + 74*j**2. Solve s(k) = 0.
2/37
Let -1/6*q**2 - 1661521/6 + 1289/3*q = 0. What is q?
1289
Let a(c) be the third derivative of c**7/90 - 4*c**6/15 - 7*c**5/5 - 8*c**4/9 - 1279*c**2. Find p, given that a(p) = 0.
-2, -2/7, 0, 16
Let o be -7*114/252*(-12)/57. Let 0*s + 8/15*s**2 + 0 + o*s**5 + 8/15*s**3 - 26/15*s**4 = 0. Calculate s.
-2/5, 0, 1, 2
Let m be (2950/(-175) - -16)*14/(-6). Suppose 2/3*h**4 - 1/6*h**5 + 1/3*h**m - 5/6*h**3 + 0*h + 0