 3/7 = 0.
-1, 1
Factor -296/13 + 2/13*o**2 - 144/13*o.
2*(o - 74)*(o + 2)/13
Let z(a) be the third derivative of -13*a**7/105 + 11*a**6/48 + 49*a**5/120 - 55*a**4/48 + a**3/4 - 1674*a**2. What is b in z(b) = 0?
-1, 3/52, 1
Let f(v) be the first derivative of 976/3*v**3 + 151 + 2304*v + 28*v**4 + 1344*v**2 + 4/5*v**5. Factor f(y).
4*(y + 2)**2*(y + 12)**2
Suppose j = -j - 10, 27 = 4*u - 3*j. Factor -48*b**2 - 50*b + 38*b**2 + 55*b**2 + 5*b**u.
5*b*(b - 1)*(b + 10)
Let a(v) be the first derivative of -3*v**4/8 + 35*v**3/2 - 228*v**2 + 4891. Factor a(h).
-3*h*(h - 19)*(h - 16)/2
Let s(o) be the third derivative of 0*o + 0 + 760/3*o**4 + 107*o**2 + 27/35*o**7 + 1600/3*o**3 + 57/5*o**6 + 1082/15*o**5. Let s(h) = 0. What is h?
-20/9, -2
Let b(u) = 5*u**2 - 484*u - 1419. Let g(q) = -12*q**2 + 1452*q + 4256. Let i(t) = -8*b(t) - 3*g(t). Determine k so that i(k) = 0.
-118, -3
Let b(l) = -13*l**3 + 496*l**2 + 2961*l + 4464. Let p(x) = -2*x**3 + x**2 - x. Let c(i) = -b(i) + 6*p(i). Determine n, given that c(n) = 0.
-3, 496
Let k be -175*((-5970)/(-375) + -16). Let u(s) be the second derivative of -4/3*s**3 + 1/10*s**4 + 0 + 12/5*s**2 - k*s. What is c in u(c) = 0?
2/3, 6
Let i = 806753 - 806751. Suppose 0 - 12/5*o**i - 12/5*o - 3/5*o**3 = 0. Calculate o.
-2, 0
Factor 480*o - 428*o**3 - 232*o**2 + 1273*o**3 - 428*o**3 - 421*o**3.
-4*o*(o - 2)*(o + 60)
Let f(x) = -x**3 - 5*x**2 + 4*x - 2. Let g(a) = -2*a**2 - a - 1. Suppose 16 = -13*z + 5*z. Let u(w) = z*f(w) + 4*g(w). Suppose u(d) = 0. Calculate d.
-3, 0, 2
Suppose 34 - 6 = -28*o. Let s(w) = -14*w**4 - 204*w**3 + 154*w**2 + 56*w - 16. Let t(v) = v**3 + v + 4. Let q(a) = o*s(a) - 4*t(a). Factor q(u).
2*u*(u - 1)*(u + 15)*(7*u + 2)
Factor 301/4*y + 133/2*y**2 + 23/2 + 11/4*y**3.
(y + 1)*(y + 23)*(11*y + 2)/4
Let j(x) = -6*x**2 + 2 - 5 + 3 - x**3 + 4 + x**2 + 8*x. Let a(f) = f + 2. Let o(b) = 2*a(b) - j(b). Factor o(t).
t*(t - 1)*(t + 6)
Suppose 2*z = 2*k + 89 - 71, 5*z - 3*k - 33 = 0. Find o such that 0*o**z + 0 + 0*o**2 + 0*o - 1/4*o**4 = 0.
0
Let o(j) be the third derivative of -j**7/630 + 13*j**6/180 + 3*j**4/8 + 3*j**3/2 - 2*j**2 + 22*j. Let l(z) be the second derivative of o(z). Factor l(n).
-4*n*(n - 13)
Let a(m) = -3*m**3 + 12*m**2 - 33*m + 12. Let b be (-370)/(-30) - (15/(-9) - -2). Let p(g) = -2*g + 1. Let f(y) = b*p(y) - a(y). Factor f(w).
3*w*(w - 3)*(w - 1)
Factor 101/2*d**2 + 99/2*d - 1/2*d**4 + 1/2*d**3 + 0.
-d*(d - 11)*(d + 1)*(d + 9)/2
Factor -111*r**2 - 1944 + 183*r + 3*r**3 + 15*r**2 + 1854.
3*(r - 30)*(r - 1)**2
Solve -73*i + 4*i**2 + 4*i + 17171 - i**2 - 16781 = 0.
10, 13
Let n(w) be the first derivative of -2*w**5/5 - 2029*w**4/2 - 915304*w**3 - 310286704*w**2 - 617831552*w + 4011. Factor n(x).
-2*(x + 1)*(x + 676)**3
Let r(m) be the third derivative of -m**8/2352 - 12*m**7/49 - 141*m**6/28 - 45*m**5 - 12555*m**4/56 - 4698*m**3/7 - 203*m**2 - 1. Factor r(n).
-(n + 3)**4*(n + 348)/7
Let f be (-644)/(-4620) + (-2)/(-33). Find o such that 0*o**2 + 0*o**4 + 0 - 1/5*o + 2/5*o**3 - f*o**5 = 0.
-1, 0, 1
Let b = 65 + -64. Let d(p) be the third derivative of -p**6/6 - p**5/3 - 2*p**4/3 - p**2. Let s(a) = -a**3 + a + 1. Let i(w) = b*d(w) - 16*s(w). Factor i(u).
-4*(u + 1)*(u + 2)**2
Let r(m) be the first derivative of -4*m**3/9 + 860*m**2/3 - 184900*m/3 - 640. Factor r(j).
-4*(j - 215)**2/3
Determine b so that -134/3 + 1/6*b**2 + 22*b = 0.
-134, 2
Let w(a) be the third derivative of -a**8/14400 - 2*a**7/525 + 7*a**6/900 + 7*a**5/5 - 216*a**2. Let v(g) be the third derivative of w(g). Factor v(n).
-(n + 14)*(7*n - 2)/5
Let l be (3855/(-5))/(36/(-60)). Let z = -1285 + l. Solve z + 3/2*x - 3/2*x**2 = 0.
0, 1
Let m(l) = -l**3 - 11*l**2 - 11*l + 4. Let a be m(-10). Suppose 9 = 3*x + 2*i - i, -4*x = 2*i - a. Factor -5*d**x - 11*d - 12*d - 45 - 7*d + 0*d.
-5*(d + 3)**2
Let d(o) be the first derivative of o**3 + 291*o**2/2 - 1212*o - 5990. Solve d(a) = 0.
-101, 4
Let i = 138301/184348 + -10/46087. Let 15/4*v**3 + 6 - 3*v - 9/2*v**2 - i*v**4 = 0. Calculate v.
-1, 2
Let a(b) be the second derivative of -b**5/80 - 41*b**4/24 - 74*b**3/3 + 3525*b. Factor a(n).
-n*(n + 8)*(n + 74)/4
Let s(h) = -h**2 - 33*h - 136. Let z be s(-28). Determine i so that i - 6*i + 2*i**2 + 7*i**3 + 5*i**z - 2*i**3 - 8*i**2 + i**2 = 0.
-1, 0, 1
Let u(n) be the first derivative of -n**4/2 + 70*n**3/3 - 368*n**2 + 2432*n - 2515. Factor u(a).
-2*(a - 19)*(a - 8)**2
Let w(b) be the first derivative of b**4/5 + 12*b**3 + 174*b**2/5 + 172*b/5 + 2668. Factor w(x).
4*(x + 1)**2*(x + 43)/5
Suppose 0 = 18*p - 4*p + 28. Let x be p/6 + -3*3/(-27). Let 4/19*q + x + 2/19*q**2 = 0. What is q?
-2, 0
Let -100*s - 1/3*s**3 + 0 + 35/3*s**2 = 0. What is s?
0, 15, 20
Let b(g) = -2*g**3 - 2*g**2 + 3*g + 2. Let d be b(-2). Suppose d*u = -2*u + 12. Factor -5*l**2 + 2*l + 0*l**2 - l**u - 8 + 7*l**2.
(l - 2)*(l + 4)
Let m(f) be the third derivative of f**6/180 - 31*f**5/90 + 7*f**4/9 + 20*f**3/3 + 5473*f**2. Factor m(h).
2*(h - 30)*(h - 2)*(h + 1)/3
Let j = -138953 + 2917349/21. Let r = -94/3 - j. Let -2/7*w + 2/7*w**3 + r*w**2 - 2/7 = 0. What is w?
-1, 1
Suppose -37 - 29 = -3*r. Let s = r - 20. Find z, given that -z**2 + 12*z + 24 + 4*z**s - 39*z = 0.
1, 8
Let v be (-2*(-6)/(-24))/((-1)/20). Factor -61*p**2 - 97 + 150*p + v*p**2 - 134*p - 95 + 224*p + 3*p**3.
3*(p - 8)**2*(p - 1)
Suppose -77420 = 232*z - 222*z. Let a be 4/50 - z/1975. Find p such that 16/7*p**2 + 16/7*p**3 + 4/7*p**a + 0 + 0*p = 0.
-2, 0
Let m(k) = k**3 + 30*k**2 - 16*k + 7. Let s be m(-29). Let -3 + s*p + p**2 - 1324*p + 14 = 0. What is p?
1, 11
Let j(b) = -36*b**2 + 459*b - 3798. Let a(w) = 7*w**2 - 92*w + 760. Let s = 41 + -62. Let x(i) = s*a(i) - 4*j(i). Factor x(y).
-3*(y - 16)**2
Let l(p) be the first derivative of -p**5/180 - 11*p**4/72 - 56*p**2 - 36. Let m(q) be the second derivative of l(q). Factor m(x).
-x*(x + 11)/3
Let r = -297702 + 297702. Find a, given that 24/25*a**2 + 56/25*a**3 - 2/5*a**4 + 0*a + r = 0.
-2/5, 0, 6
Let j = 16592/20115 - 100/4023. Find n such that 8/5*n - 8/15 - j*n**3 - 2/3*n**2 = 0.
-2, 1/2, 2/3
Let w(x) = 16*x**3 - 19*x**2 + 489*x + 499. Let r(d) = -186*d**3 + 218*d**2 - 5624*d - 5738. Let u(j) = 10*r(j) + 116*w(j). Suppose u(t) = 0. Calculate t.
-14, -1, 9
Let b(p) be the third derivative of -p**6/840 + p**5/5 - 14*p**4 + 3*p**3 + 67*p**2 - p. Let n(x) be the first derivative of b(x). Factor n(m).
-3*(m - 28)**2/7
Factor 15442721 + 1422202 + 1114*i + 3*i**2 - 9036*i - 6304*i.
3*(i - 2371)**2
Let g = -41549/10 + 4155. Let y(r) be the second derivative of 0 + 0*r**2 - 23*r + 1/2*r**4 - g*r**5 - 2/3*r**3. Solve y(k) = 0.
0, 1, 2
Suppose 495 - 771 - 512 = -197*y. Let u(b) be the first derivative of -21/4*b**y + 2*b**3 + 40 + 7/2*b**6 - 6/5*b**5 + 0*b + 0*b**2. Let u(v) = 0. Calculate v.
-1, 0, 2/7, 1
Let s be 15*(-128)/(-132) - ((-19)/19 - -9). Factor s + 26/11*c**2 + 2/11*c**4 - 20/11*c**3 + 120/11*c.
2*(c - 6)**2*(c + 1)**2/11
Suppose 10*d = -66*d + 5*d + 142. Let q(z) be the first derivative of 0*z**4 + 0*z**3 - 20 + 0*z**d + 3/5*z**5 + 0*z. Determine m, given that q(m) = 0.
0
Let g = -65 - -67. Determine w so that -266*w + 14 + 26 + 236*w + 5*w**g = 0.
2, 4
Let v(m) be the second derivative of -91*m**6/180 - m**5/120 + 25*m**4/3 - 107*m**3/9 - 20*m**2/3 - 261*m. Solve v(t) = 0 for t.
-20/7, -2/13, 1, 2
Let f(z) be the third derivative of -z**7/420 + z**6/20 + 13*z**5/20 + 29*z**4/12 + 17*z**3/4 + 870*z**2. Solve f(p) = 0.
-3, -1, 17
Let b(j) be the first derivative of 3*j**5/20 - 13*j**4/2 + 70*j**3 + 588*j**2 - 89*j + 105. Let z(w) be the first derivative of b(w). Solve z(n) = 0 for n.
-2, 14
Let u = 100466/7 - 14326. Let f = -361/14 + u. Factor 1/2*h**2 - f*h**3 + h + 0.
-h*(h - 2)*(h + 1)/2
Suppose 6*c + 50 = 20. Let g be (-22)/(-30)*9 + c. Factor -g*v**2 + 0*v + 0 + 4/5*v**3.
4*v**2*(v - 2)/5
Let r = 39511/7410 + 3/2470. Let u(j) be the first derivative of -4/9*j**3 + 0*j**2 + r*j**6 + 19/6*j**4 - 112/15*j**5 + 7 + 0*j. Let u(z) = 0. What is z?
0, 1/4, 2/3
Let f be (-1)/8*(199 - 199). Let p(g) be the second derivative of f + 22*g + 4/17*g**3 + 1/17*g**4 + 1/170*g**5 + 8/17*g**2. Factor p(l).
2*(l + 2)**3/17
Let z(l) be the first derivative of l**4/12 - 51*l**3 + 23409*l**2/2 - 1193859*l - 1694. Factor z(o).
(o - 153)**3/3
Find y such that -121/5