ivative of 0*i**2 - 23/66*i**4 - 155*i + 2/33*i**3 + 0 - 7/11*i**5. Factor r(h).
-2*h*(5*h + 2)*(14*h - 1)/11
Let f(o) be the third derivative of -o**7/525 + o**6/12 - 59*o**5/50 + 283*o**4/60 - 26*o**3/3 - 1519*o**2. Find i, given that f(i) = 0.
1, 10, 13
Let j(s) be the second derivative of -s**5/80 + s**3/2 - 63*s**2 - 17*s + 1. Let p(y) be the first derivative of j(y). Let p(k) = 0. What is k?
-2, 2
Let v(g) be the first derivative of -16*g**2 + 0*g - 3*g**4 + 128 - 56/3*g**3. Factor v(a).
-4*a*(a + 4)*(3*a + 2)
Let r = -484 + 541. Factor -24 + r*q - 15*q - 3*q**2 - 24*q.
-3*(q - 4)*(q - 2)
Let v = -194045 + 194049. Let 0 - 14/11*t + v*t**2 - 48/11*t**3 - 2/11*t**5 + 20/11*t**4 = 0. Calculate t.
0, 1, 7
Suppose -45*d + 99 = -36. Let l(t) be the third derivative of 5/24*t**6 + 5/336*t**8 + 6*t**2 + 0*t + 0*t**d + 0*t**4 + 1/6*t**5 + 0 + 2/21*t**7. Factor l(f).
5*f**2*(f + 1)**2*(f + 2)
Let y(q) be the third derivative of -q**7/840 + 481*q**6/48 - 1156805*q**5/48 + q**2 - 2*q - 156. Factor y(p).
-p**2*(p - 2405)**2/4
Let m(t) = 2*t**3 + t**2 + 2*t - 1. Let g be m(1). Factor -g*u**3 - 14*u**2 - 17 - 18*u**2 - 76*u + 0*u**3 - 31.
-4*(u + 1)*(u + 3)*(u + 4)
Suppose -6 = h - 3*h. Suppose -5*z - h*p + 4 = 0, -2 = -4*z - 3*p - 0*p. Suppose 1/3*l**z - 10/3*l + 25/3 = 0. What is l?
5
Factor 316*t**2 - 30233 + 4633 + t**3 + 12160*t + t**3.
2*(t - 2)*(t + 80)**2
Suppose 652/3*h**3 + 2/3*h**4 + 35208*h + 53786/3*h**2 + 17496 = 0. Calculate h.
-162, -1
Suppose 496*q + 1715*q - 11669545 + 3073177 = 0. Factor -144*l - q - 4/3*l**2.
-4*(l + 54)**2/3
Let b(i) be the third derivative of -i**9/52920 - 3*i**8/3920 - 121*i**4/24 + 170*i**2. Let a(h) be the second derivative of b(h). Factor a(t).
-2*t**3*(t + 18)/7
Let o(s) be the third derivative of -s**5/30 - 677*s**4/12 + 3*s**2 - 20*s. What is y in o(y) = 0?
-677, 0
Suppose -14*j - 1 = -15*j - i, -4*j + 12 = -4*i. Factor 40 - 44*c**2 + 17*c**j + 85*c + 18*c**2 + 19*c**2.
5*(c + 8)*(2*c + 1)
Factor 216/5 + 156/5*w - 4/5*w**3 + 16/5*w**2.
-4*(w - 9)*(w + 2)*(w + 3)/5
Let g(q) be the second derivative of 1/90*q**6 + 111*q + 0*q**3 + 0 + 0*q**2 - 7/30*q**5 + 49/36*q**4. Factor g(t).
t**2*(t - 7)**2/3
Let d = 2043/4 + -2041/4. Let k(g) be the second derivative of 3/2*g**2 - 3/10*g**5 + 1/10*g**6 - 1/2*g**4 + 0 + d*g**3 + 22*g + 1/14*g**7. Factor k(r).
3*(r - 1)**2*(r + 1)**3
Let x(b) be the second derivative of b**4/30 - 122*b**3/15 - 123*b**2/5 - 1521*b. Find h such that x(h) = 0.
-1, 123
Suppose 4*b - 570 = -11*b. Let o = b + -35. Determine h so that 9*h**2 - 7*h**2 + 2*h - h**3 + 0*h**o - 3*h**2 = 0.
-2, 0, 1
Let y be (-12)/(-36) + 2/(-6). Suppose y = 18*p - 35 - 19. Let 0 + 4/7*v - 2/7*v**2 - 8/7*v**p + 6/7*v**4 = 0. Calculate v.
-2/3, 0, 1
Let w(d) be the first derivative of 5/42*d**4 + 25/21*d**3 - 13 + 0*d - 7*d**2 + 1/210*d**5. Let n(l) be the second derivative of w(l). Factor n(t).
2*(t + 5)**2/7
Let z(b) be the second derivative of b**5/20 - 29*b**4/48 - 37*b**3/12 + 99*b**2/8 + 19*b - 10. Determine k, given that z(k) = 0.
-11/4, 1, 9
Let p(y) be the first derivative of -y**7/630 - 8*y**6/135 + 112*y**3/3 - 65. Let t(q) be the third derivative of p(q). Factor t(b).
-4*b**2*(b + 16)/3
Let p be (-12)/(31 + 1771/(-46)). Factor p - 2*h + 2/5*h**2.
2*(h - 4)*(h - 1)/5
Let n = 37 - 41. Let c(z) = -z**3 - 3*z**2 + 2*z - 5. Let v be c(n). Find y, given that -55*y**2 + 2*y**3 - v - 32*y + 12*y**4 + 21*y**2 - 5 = 0.
-1, -2/3, -1/2, 2
Let n(i) = -28*i**2 - 13*i - 12. Let t be n(-1). Let o be t/12*(-56)/756. Let -1 - o*u**2 - 5/6*u = 0. What is u?
-3, -2
Let x(t) = -24*t + 1469. Let v be x(61). Let a(h) be the third derivative of 6*h**2 - 1/5*h**v + 0*h**3 + 1/3*h**4 + 1/30*h**6 + 0 + 0*h. Factor a(d).
4*d*(d - 2)*(d - 1)
Suppose 6*m - m + 2 = -3*w, 4*w = -2*m - 12. Determine r so that 67 + 42 + 56*r**m - 19 + 4*r**3 - 2 + 140*r = 0.
-11, -2, -1
Let n(a) = -6*a**2 - 16*a + 16. Let c(i) = 8*i**2 + 15*i - 14. Let x = 240 + -242. Let l(j) = x*c(j) - 3*n(j). Factor l(u).
2*(u - 1)*(u + 10)
Let o(h) = h**3 - h - 1. Suppose y + 4*i = 0, 5*i + 22 = 3*y - 29. Let v(c) = 4*c**4 - 12*c**3 - 48*c**2 + 76*c + 12. Let u(k) = y*o(k) + v(k). Factor u(q).
4*q*(q - 2)**2*(q + 4)
Suppose 62*k + 86 = 70*k - 66. Let m(h) be the first derivative of 0*h + 2/5*h**4 - 4/5*h**2 - 4/15*h**3 + 4/25*h**5 - k. Factor m(p).
4*p*(p - 1)*(p + 1)*(p + 2)/5
Let a = 769 + -772. Let w(j) = 2*j**2 - j. Let g(n) = 8*n**2 + 69*n + 70. Let c(r) = a*w(r) + g(r). Solve c(q) = 0.
-35, -1
Let m = 432 - 272. Solve 1020*i**3 - 229*i**2 - 671*i**2 - 124*i**4 + 4*i**5 + 80 - m + 80 = 0 for i.
0, 1, 15
Let x(l) = 8*l**4 - 47*l**3 - 270*l**2 + 133*l + 3067. Let r(m) = 5*m**4 - 24*m**3 - 138*m**2 + 67*m + 1533. Let u(d) = 10*r(d) - 6*x(d). Factor u(h).
2*(h - 3)*(h + 8)**3
Let s(b) be the second derivative of -5/2*b**4 + 4*b + 0 + 95/6*b**3 - 15/2*b**2. Solve s(x) = 0.
1/6, 3
Let g be 19 - 12 - 4 - (-1070 - -2). Let r = g - 4283/4. Solve 0*f**2 + r*f**4 + 1/2*f - 1/4 - 1/2*f**3 = 0 for f.
-1, 1
Let q(o) be the second derivative of o**5/80 - 99*o**4/8 + 3700*o**3 - 21904*o**2 - 615*o + 5. Factor q(t).
(t - 296)**2*(t - 2)/4
Let n(d) be the third derivative of d**6/660 + 17*d**5/330 - 43*d**4/44 + 69*d**3/11 + 4291*d**2. Determine p so that n(p) = 0.
-23, 3
Let s be (196/(-343))/((-1)/7). Factor s*z**2 - 3*z**2 + 1420*z**3 - 1419*z**3 - 6*z.
z*(z - 2)*(z + 3)
Let o(i) = i**3 - 556*i**2 + 7057*i + 31. Let h be o(13). Let -j**4 + 1/3*j**2 + 2/3*j**h + 0*j**3 + 0*j + 0 = 0. Calculate j.
-1/2, 0, 1
Let r(o) be the first derivative of -3*o**4/28 - 204*o**3/7 - 1904. Find g, given that r(g) = 0.
-204, 0
Let j(l) = 47*l + 47. Let k be j(-1). Let x(n) be the second derivative of k*n**3 + 0 + 2*n + 0*n**2 - 1/14*n**7 + 0*n**4 + 1/10*n**6 + 0*n**5. Factor x(v).
-3*v**4*(v - 1)
Suppose 8*y - 3*q - 12 = 0, 9*q = -3*y + 5*q - 16. Let d = 39/185 + -2/185. Solve -d*r - 1/5*r**2 + y = 0 for r.
-1, 0
Let x(f) be the first derivative of -5*f**6/21 + 12*f**5/35 + 22*f**4/7 + 92*f**3/21 + 9*f**2/7 - 8*f/7 + 161. Find i such that x(i) = 0.
-1, 1/5, 4
Solve -202*b**2 - 297992*b**3 - 10404 - 5610*b - 6*b**2 + 297990*b**3 = 0.
-51, -2
Let 74*k**2 + 385*k + 1491*k + 5233 - 1473 - 76*k**2 = 0. Calculate k.
-2, 940
Let q(v) = 11*v**3 + 53*v**2 + 60*v - 357. Let r(z) = 715 - 126*z - 20*z**3 + 118*z**2 - 223*z**2 + 6*z. Let s(g) = -5*q(g) - 3*r(g). What is j in s(j) = 0?
-6, 2
Let x = -535 + 539. Let p be 4/(-6) - 65/(-3). Factor -7*f**2 - 25*f**3 - 26*f**x - 13*f**2 + p*f**4.
-5*f**2*(f + 1)*(f + 4)
Solve -20*u + 2/9*u**2 + 2/9*u**3 + 0 = 0 for u.
-10, 0, 9
Let o(v) be the second derivative of -v**6/6 - 3*v**5 - 85*v**4/12 + 75*v**3 - 1072*v. Factor o(s).
-5*s*(s - 2)*(s + 5)*(s + 9)
Factor 2475*g + 50*g**2 - 1190*g - 1974 - 756 - 5*g**3.
-5*(g - 21)*(g - 2)*(g + 13)
Let p(w) be the first derivative of w**6/18 - 2*w**5/5 + 13*w**4/12 - 4*w**3/3 + 2*w**2/3 - 889. Let p(n) = 0. Calculate n.
0, 1, 2
Let b be -1*1 - (-19)/209*-33*(-25)/65. Find q such that 216/13 + b*q**5 + 144/13*q - 42/13*q**2 + 2/13*q**4 - 34/13*q**3 = 0.
-3, -2, 3
Suppose -x = 3*b + 9, 6*x = x + 4*b + 31. Let -110*l**2 + 0*l**3 - 2*l**3 - 6*l**3 + 5*l**x + 1568 + l**3 - 1456*l = 0. Calculate l.
-28, 1
Suppose 2205 = -5*s - 10*s. Let d = s - -150. Factor -175/3*o - 5/3*o**d + 55/3*o**2 + 125/3.
-5*(o - 5)**2*(o - 1)/3
Let l = -28473/11 - -199641/77. Suppose 0*i**3 - 3/7*i + 3/7*i**5 + l*i**2 - 18/7 - 12/7*i**4 = 0. Calculate i.
-1, 1, 2, 3
Let b be (-170)/323 - 162875/(-7125). Factor b*o**2 - 16/3 - 4/3*o**3 - 47/3*o.
-(o - 16)*(o - 1)*(4*o + 1)/3
Let -2/11*r**5 - 272/11*r**2 - 2/11*r + 136/11 + 136/11*r**4 + 4/11*r**3 = 0. What is r?
-1, 1, 68
Suppose 132 = 7*c - 4*c. Let n = -41 + c. Let -n*a**4 + 7*a**2 - 13*a**2 - a**3 + 10*a**3 = 0. What is a?
0, 1, 2
Let g(j) = -j**3 - 19*j**2 - 21*j - 41. Let f be g(-18). What is a in -39*a**2 + 69*a**2 - 13*a - f*a - 32*a**2 = 0?
-13, 0
Suppose 2*t + 4 - 8 = 0. Suppose 0 = -2*j + 2 + t. Factor 4*i + 0*i**2 - j*i**2 - 2*i**2.
-4*i*(i - 1)
Let o(x) be the third derivative of x**8/112 + x**7/35 - 9*x**6/40 - x**5/10 + x**4 + 323*x**2. Determine y, given that o(y) = 0.
-4, -1, 0, 1, 2
Let j(c) = -c**2 - 73*c + 171. Let m be j(2). Factor -3/7*s**4 - m + 36/7*s**3 - 36*s - 66/7*s**2.
-3*(