 (-1560)/600. Determine i so that -74/5*i**3 + 62/5*i**4 - i**n - 8*i**2 + 79/5*i - 22/5 = 0.
-1, 2/5, 1, 11
Let c = 12 + -12. Suppose 0*k + 3*k - 72 = c. Factor -5*a**4 + 24*a + 15*a**2 - 38*a + k*a.
-5*a*(a - 2)*(a + 1)**2
Let r = 456/31 - 4343/310. Factor 2/5*f**2 + r*f - 1/5.
(f + 2)*(4*f - 1)/10
Let w be (-1 - -2)/(184/60 + -3). Let s(o) = -o + 21. Let h be s(w). Factor -2*v**3 + v**3 + h*v**2 + 4*v**3 - v**3 + 4*v.
2*v*(v + 1)*(v + 2)
Let n(u) = 61*u**2 + 56*u**2 + 17*u - 110*u**2 + 12. Let v = 4 + -2. Let t(l) = 22*l**2 + 52*l + 37. Let p(b) = v*t(b) - 7*n(b). Find w, given that p(w) = 0.
-2, -1
Let s(f) be the second derivative of 0 + 68*f - 16/27*f**3 + 7/90*f**5 + 5/27*f**4 + 0*f**2 - 1/135*f**6. What is u in s(u) = 0?
-2, 0, 1, 8
Let f be (37375/(-150))/115 - 5/(-2). Suppose 0 + f*q**3 + 4/3*q + 4/3*q**2 = 0. What is q?
-2, 0
Let o = 8336 + -158222/19. Let p be 1004/190 + 60/150. Solve 216/19*u + 24/19*u**3 - 2/19*u**4 - p*u**2 - o = 0.
3
Let r(d) be the second derivative of -d**4/12 + 2*d**3/3 + 47*d**2/2 - 4*d - 8. Let x be r(-5). Factor 2/9*k**5 + 0 + 2/9*k + 0*k**x + 0*k**4 - 4/9*k**3.
2*k*(k - 1)**2*(k + 1)**2/9
Let w = -668/251 - -8352/2761. Factor 4/11*b**3 + 0 + 2/11*b**4 - w*b - 2/11*b**2.
2*b*(b - 1)*(b + 1)*(b + 2)/11
Let g(c) = -c**3 + 17*c**2 - 15*c + 16. Let h be g(16). Let l = -29 + h. Factor 8 - 5*u - 2*u**l + 143*u**2 - 11*u - 133*u**2.
-2*(u - 2)**2*(u - 1)
Let b(j) be the first derivative of -2*j**3/15 - 252*j**2/5 - 3221. Find h, given that b(h) = 0.
-252, 0
Let j(p) be the third derivative of -34/21*p**3 + 1/105*p**5 + 70*p**2 + 0 - 8/21*p**4 + 0*p. Factor j(a).
4*(a - 17)*(a + 1)/7
Let i(g) be the second derivative of g**6/20 + 981*g**5/160 + 3321*g**4/16 - 1681*g**3/16 + 3161*g. Factor i(q).
3*q*(q + 41)**2*(4*q - 1)/8
Suppose 2*x - 2 = 3*b + 4*x, 0 = 3*x + 12. Suppose -g = 0, 3*g + 14 - 2 = b*t. Determine p so that 4*p + 3*p**3 - 9 - t*p**2 - 3*p - 9*p**2 + 20*p = 0.
1, 3
Let v = 19/6766 - -50669/27064. Let -1/8*y**3 - 31/8*y - 17/8*y**2 - v = 0. Calculate y.
-15, -1
Let b be (-20165)/(-74)*(1 + 1/(-5)). Let w = b + -1518/7. Let w*r**2 + 48/7*r**4 + 0 - 36/7*r**3 + 0*r - 16/7*r**5 = 0. Calculate r.
0, 1/2, 2
Suppose -2*q - 8 = 2*g, -4*q - 28 = -6836*g + 6834*g. What is v in -2/13*v**g + 84/13*v - 882/13 = 0?
21
Let q = 33651/7 - 4807. Let b(l) be the first derivative of -1/14*l**6 + 9/35*l**5 - 16 - 3/7*l + 9/14*l**2 - 3/14*l**4 - q*l**3. Determine y so that b(y) = 0.
-1, 1
Let i(v) = 5*v - 49. Let h be i(7). Let t be (-221)/(-357) - (-4)/h. Factor -t*z**2 + 4/3 + 0*z.
-(z - 2)*(z + 2)/3
Suppose -4/13*w**3 - 944/13*w + 896/13 + 264/13*w**2 - 2/13*w**4 = 0. Calculate w.
-14, 2, 8
Let v be 99/21483*-2077 - 11/(1 + -2). Factor 22/7*u - v - 4/7*u**2.
-2*(u - 5)*(2*u - 1)/7
Let q = -23 + -34. Let v = q - -61. Factor 2*y**4 + 124*y + 4 + 6*y**3 - v - 132*y.
2*y*(y - 1)*(y + 2)**2
Suppose 1317*i = -554*i + 5613. Suppose 7/4*v**i - 1/4*v**4 + 3 - 7/4*v - 11/4*v**2 = 0. What is v?
-1, 1, 3, 4
Let z(b) be the third derivative of b**5/160 - 19*b**4/16 + 219*b**3/16 + 598*b**2. Factor z(x).
3*(x - 73)*(x - 3)/8
Let b(t) be the first derivative of -t**7/210 + t**6/40 + 37*t**2/2 + 267. Let y(l) be the second derivative of b(l). Solve y(v) = 0.
0, 3
Let c = 95892/11 - 8717. Let j(i) be the second derivative of 0 - 1/66*i**4 - 4/33*i**3 + c*i**2 - 7*i. Factor j(t).
-2*(t - 1)*(t + 5)/11
Suppose 0 + 3568/9*t**2 + 544/9*t - 3052/9*t**4 + 552*t**3 - 196/9*t**5 = 0. What is t?
-17, -2/7, 0, 2
Let k be (1/(-2))/((-260)/1040). Solve 2/3*w**3 + 16/3*w**k + 49/6 + 77/6*w = 0.
-7/2, -1
Let s(t) be the first derivative of -2*t**3/9 - 44*t**2/3 - 1337. Suppose s(l) = 0. What is l?
-44, 0
Factor 330311 + 2*y**3 - 2860*y**2 + 182345 - 6*y**3 - 509792*y.
-4*(y - 1)*(y + 358)**2
Let i(p) be the first derivative of p**6/15 + 252*p**5/25 + 371*p**4 - 32504*p**3/15 + 4173*p**2 - 3380*p - 3467. Let i(w) = 0. What is w?
-65, 1, 2
Factor 1120/11*j - 5096/11 - 82/11*j**2 + 2/11*j**3.
2*(j - 14)**2*(j - 13)/11
Let h(q) be the first derivative of -3*q**5/5 - 27*q**4/2 + q**3 + 27*q**2 + 920. Factor h(k).
-3*k*(k - 1)*(k + 1)*(k + 18)
Let s(x) be the third derivative of -1/120*x**6 + 7/20*x**5 - 7/3*x**4 + 0 + 6*x**3 - 76*x + 2*x**2. Factor s(o).
-(o - 18)*(o - 2)*(o - 1)
Factor -768/7 + 3/7*l**3 + 93/7*l**2 + 96*l.
3*(l - 1)*(l + 16)**2/7
Let r(n) = -n**3 - 2*n**2 - 5*n - 10. Let l be r(-2). Let o(y) be the second derivative of -4/51*y**3 + 4/51*y**4 - 3/170*y**5 + l*y**2 - 7*y + 0. Factor o(j).
-2*j*(j - 2)*(3*j - 2)/17
Let x(h) be the first derivative of -3*h**5/35 + 15879*h**4/14 - 5335848*h**3 + 65868365049*h**2/7 + 131848814667*h/7 + 9119. Solve x(q) = 0 for q.
-1, 3529
Let l(o) be the third derivative of -o**5/150 - 25*o**4/4 - 374*o**3/15 - 3*o**2 + 29*o - 2. Factor l(w).
-2*(w + 1)*(w + 374)/5
Let c(a) be the second derivative of 9*a**5/80 + 7*a**4/8 + 1754*a. Factor c(z).
3*z**2*(3*z + 14)/4
Let o(a) be the second derivative of -a**7/56 - 33*a**6/40 - 93*a**5/40 + a**4/8 + 63*a**3/8 + 93*a**2/8 + 2*a + 22. What is u in o(u) = 0?
-31, -1, 1
Let t be (12 - 0)*(468/1053)/(9/21). Factor t*s + 8/3 + 2*s**2.
2*(s + 6)*(9*s + 2)/9
Suppose -j + 2*m + 8 = 0, -j = m + 1 - 0. Let s = 39 + -38. Factor s - l**j + 4 + 2*l**2 - 6*l**2.
-5*(l - 1)*(l + 1)
Let k be (-7)/((-28)/(-4108))*-1. Suppose -48 - 6*u**3 + 1159*u**2 + 34*u**3 - k*u**2 + 128*u = 0. What is u?
-3, -2, 2/7
Let l(x) be the second derivative of -x**6/90 + 31*x**3/6 + 64*x. Let n(k) be the second derivative of l(k). Factor n(p).
-4*p**2
Let y(r) be the first derivative of r**3/3 + 13*r**2 - 231*r + 2163. What is n in y(n) = 0?
-33, 7
Let w be 8 - 10 - (1 + -20). Suppose -2*t + 0*t + 20 = 4*g, -3*g - 2*t + w = 0. Factor -g - 16 - n + 3*n**2 + 7*n - 5.
3*(n - 2)*(n + 4)
Let q(k) = 39*k**3 - 768*k**2 + 5775*k - 5118. Let v(l) = -11*l**3 + 219*l**2 - 1650*l + 1462. Let m(j) = -5*q(j) - 18*v(j). Solve m(f) = 0.
1, 11, 22
Let k be (-64 - -62)*(-45)/(-6). Let i be 12/k + 882/840. Suppose -i*a**5 + 2401/4 + 29/4*a**4 + 833/2*a**2 - 161/2*a**3 - 3773/4*a = 0. What is a?
1, 7
Let s(o) = 6*o - 32. Let r be s(6). Factor 46*q**4 - 2*q**5 - 37*q**r - 6*q**3 - q**5.
-3*q**3*(q - 2)*(q - 1)
Let n(s) = 92*s - 46. Let m(y) = -y. Let o(t) = -115*m(t) - n(t). Let d be o(-2). Solve -12/5*h + 48/5*h**2 + d - 21/5*h**3 = 0.
0, 2/7, 2
Suppose 5*t - 13 = -3. Factor 96*k**2 - 177*k**2 + 78*k**t - 27 + 18*k.
-3*(k - 3)**2
Let d(h) = 4*h**2 + 94*h - 11. Let i be d(-32). Suppose -i + 1077 - g**5 + 32*g**3 - 3*g**5 - 28*g**4 = 0. Calculate g.
-8, 0, 1
Let c(p) be the third derivative of -64*p**7/1155 + 4*p**6/3 - 203*p**5/110 - 97*p**4/66 - 13*p**3/33 - 1838*p**2. Determine i, given that c(i) = 0.
-1/8, 1, 13
Let u be 363220/(-11557) + (-64)/(-2). Determine a so that -1/7*a**3 - 8/7*a + u + 5/7*a**2 = 0.
1, 2
Let t(p) be the first derivative of 75 - 2/25*p**5 - 12/5*p + 14/15*p**3 - p**2 + 1/2*p**4. Let t(v) = 0. Calculate v.
-1, 1, 6
Let x be (-20)/(-6) + 1 + -3. Let j be (-4)/(-14) + (-384)/(-224). What is t in t**j - x + 4/3*t = 0?
-2, 2/3
Let s = 10/61923 + 1486102/309615. Solve 126/5*c**4 - 74*c**2 - 8*c + 52*c**3 + s = 0 for c.
-3, -2/7, 2/9, 1
Let a(u) = u**3 - 12*u**2 + 15*u - 24. Let s be a(11). Suppose -4*o - 3*v = -s, -2*o + 0*o + v = 0. Solve 3/5*n**o + 0 - 3/5*n + 3/5*n**3 - 3/5*n**4 = 0 for n.
-1, 0, 1
Let y = -26 - -40. Let j be (-1 + 10/y)*-7. Let p(h) = -4*h**2. Let z(g) = g**2 - g. Let s(k) = j*z(k) + p(k). Factor s(w).
-2*w*(w + 1)
Let k(d) be the first derivative of 1/3*d**2 - 1/6*d**4 - 1/15*d**5 + 1/9*d**3 - 119 + 0*d. Factor k(y).
-y*(y - 1)*(y + 1)*(y + 2)/3
Let v(t) be the second derivative of 5*t**4/12 - 265*t**3/6 + 375*t**2 + t - 806. Determine a so that v(a) = 0.
3, 50
Suppose -6728/7*x - 11/7*x**4 - 36772/7*x**2 + 182*x**3 + 0 = 0. What is x?
-2/11, 0, 58
Suppose 10*b = 67*b - 171. Let h be (32/(3360/63))/(b/2). Solve -2/5*x**3 + 6/5*x**4 + 0*x + h*x**5 - 14/5*x**2 + 8/5 = 0.
-2, -1, 1
Suppose -11 = c - 13, t - 910 = -4*c. Factor -787*v + 876*v + v**4 + t*v + 1331 + 396*v**2 + 34*v**3 + 703*v.
(v + 1)*(v + 11)**3
Let x(f) be the first derivative of 3*f**4/20 - 2*f**3 - 633*f**2/10 + 132*f + 2817. Determine s, given that x(s) = 0.
-11, 1, 20
Suppose -b + 31 = 3*m, -5*m + 0*m = -2*b + 