tor 21*m**2 + 329*m - 33*m**2 - 694 + 14*m**2 - 1021*m.
2*(m - 347)*(m + 1)
Let x(m) = m**3 + 12*m**2 - 5*m - 58. Let s be x(-12). Factor -5*v - 5164 + 0*v**s + 5146 + v**2 - 12*v.
(v - 18)*(v + 1)
Suppose -v - c = -25 + 26, 3*v + 2*c = -2. Let d(t) be the first derivative of -3/4*t**4 + 1 + 0*t**3 + v*t + 0*t**2 - 3/5*t**5. Factor d(g).
-3*g**3*(g + 1)
Let t(n) be the second derivative of n**4/24 - 45*n**3/4 + 131*n**2 - 2*n - 5519. Suppose t(o) = 0. What is o?
4, 131
Suppose 238*m - 236*m - 4 = 0. Factor 24 - m*y**2 + 7*y - y - y**2 + 0*y.
-3*(y - 4)*(y + 2)
Let l be ((-42)/108)/(203/(-696)). Factor -2/3*k**3 + 14/3*k + l*k**2 + 8/3.
-2*(k - 4)*(k + 1)**2/3
Let n be (6564/56 + -2)*(3 + -1). Let p = -230 + n. Factor 27/7*l**2 + p*l**4 - 15/7*l**3 + 6/7 - 3*l.
3*(l - 2)*(l - 1)**3/7
Let x be 3*(56/(-12) + 5). Let n(y) = y**2 + 6*y + 7. Let j be n(-5). Let 13*c**j - x - 16*c**4 + 7*c**3 + 18*c**4 + 2 - 4*c**2 + 5*c = 0. Calculate c.
-1, -1/2
Let f(t) be the third derivative of t**6/480 - 7*t**5/48 + 247*t**4/96 + 361*t**3/8 + 2*t**2 - 3*t - 177. Solve f(b) = 0 for b.
-3, 19
Let p(c) be the second derivative of -c**6/30 - 39*c**5 - 12675*c**4 + 224*c + 1. Factor p(j).
-j**2*(j + 390)**2
Factor -18890*u - 3758067 + 5*u**2 + 13183770 + 9473191 - 1057289.
5*(u - 1889)**2
Let q(m) = -m**2 + 18*m + 45. Let h be q(20). Factor -h*p + 5*p**2 - 25*p + 21 + 24 - 5.
5*(p - 4)*(p - 2)
Let m = -11007 + 11009. Let n(j) be the second derivative of 1/40*j**6 + 0*j**4 - 1/168*j**7 - 1/40*j**5 - 4*j + 0 + 0*j**3 + 0*j**m. What is u in n(u) = 0?
0, 1, 2
Suppose -21*u = 4*u - 75. Factor -14*t**3 - 9*t**3 - 8*t**u - 11*t**3 + 1280 + 37*t**3 - 640*t + 100*t**2.
-5*(t - 8)**2*(t - 4)
Let b be (40/(-42))/(-1)*15624/8370. Factor -50/9*t**3 - b - 68/3*t**2 - 24*t.
-2*(t + 2)**2*(25*t + 2)/9
Determine v so that 2/7*v**4 + 122/7*v - 2/7*v**3 - 60/7 - 62/7*v**2 = 0.
-6, 1, 5
Let a = -40966 + 696426/17. Factor a*c - 2/17 + 6/17*c**2.
2*(c + 1)*(3*c - 1)/17
Suppose 93*h - 36 = 90*h, 5*i = 3*h + 34. Find d such that -i*d**4 - 146/3*d**3 + 0*d - 172/3*d**2 + 64/3 - 4/3*d**5 = 0.
-4, -2, -1, 1/2
Factor 607*a**3 - 9563*a**2 - 61*a + 20454*a**2 - 37*a**3 + 135*a**4 - 3*a**5 - 10021*a**2 + 147 + 646*a.
-3*(a - 49)*(a + 1)**4
Factor -1/2*y**2 - 175/2 + 88*y.
-(y - 175)*(y - 1)/2
Let h(m) be the first derivative of 40*m**6/3 - 326*m**5/5 + 126*m**4 - 356*m**3/3 + 52*m**2 - 6*m - 692. Find t, given that h(t) = 0.
3/40, 1
Let i(w) = -2*w**4 - 360*w**3 - 1122*w**2 - 752*w. Let g(y) = -y**4 - 362*y**3 - 1121*y**2 - 751*y. Let c(h) = -4*g(h) + 3*i(h). Determine n so that c(n) = 0.
-2, -1, 0, 187
Determine s so that -3*s**5 + 3*s**3 - 6*s**2 - 7098*s**4 + 3552*s**4 + 3552*s**4 = 0.
-1, 0, 1, 2
Factor 5*u + u**3 - 158*u**2 - 56*u + 15 + 283*u**2 - 149*u**2 - 41.
(u - 26)*(u + 1)**2
Let g(w) be the second derivative of -w**4/12 - 31*w**3/3 - 61*w**2/2 - 138*w. Let c(s) = -s**2 - 2*s - 1. Let f(b) = -3*c(b) - g(b). Factor f(v).
4*(v + 1)*(v + 16)
Let o(x) be the first derivative of x**4 - 776*x**3/3 + 770*x**2 - 768*x + 211. Factor o(r).
4*(r - 192)*(r - 1)**2
Let q(v) be the third derivative of v**6/30 + 18*v**5/5 - 115*v**4/6 - 112*v**3 + 11*v**2 + 7*v. Determine r so that q(r) = 0.
-56, -1, 3
Suppose -8/5*p**4 + 32/5*p**2 + 1/5*p**5 + 0 - 48/5*p + 8/5*p**3 = 0. What is p?
-2, 0, 2, 6
Let o(p) be the second derivative of p**6/50 - 48*p**5/25 - 79*p**4/2 - 260*p**3 - 1125*p**2/2 - 1560*p. Let o(g) = 0. Calculate g.
-5, -1, 75
Let q(f) be the third derivative of f**8/3360 + 2*f**7/175 + 97*f**6/1200 - 37*f**5/100 - 101*f**4/60 + 42*f**3/5 + 20*f**2 + 90*f. Solve q(k) = 0 for k.
-18, -7, -2, 1, 2
Let g(x) be the third derivative of 2*x**7/105 - 31*x**6/30 - 9*x**5/5 + 297*x**4/2 - 1116*x**3 - 1253*x**2 - 2*x + 2. Solve g(f) = 0.
-6, 3, 31
Suppose -w = -4 - 6. Factor 7*a**4 - w*a**4 + 8*a**3 - a**4 - 8*a + 4*a**2.
-4*a*(a - 2)*(a - 1)*(a + 1)
Let i = 4580963/7 + -654422. What is u in -i*u**2 - 27/7*u**3 + 3/7*u**4 + 75/7*u + 54/7 = 0?
-1, 2, 9
Let m(p) = -12*p**3 - 118*p**2 + 109*p + 7. Let h(z) = -14*z**3 - 120*z**2 + 110*z + 8. Let j(f) = 7*h(f) - 8*m(f). What is t in j(t) = 0?
0, 1, 51
Let h(q) = 3*q**2 - 4563*q + 1746528. Let p(k) = 5*k + 7. Let y(m) = h(m) - 3*p(m). Factor y(o).
3*(o - 763)**2
Factor -2/17*t**4 - 126/17*t - 6*t**2 + 0 - 26/17*t**3.
-2*t*(t + 3)**2*(t + 7)/17
Let g(j) be the second derivative of -25*j**4/12 - 33*j**3 + 8*j**2 + 9*j - 2. Factor g(k).
-(k + 8)*(25*k - 2)
Let m(y) be the first derivative of -115*y**4/28 + 229*y**3/21 - 113*y**2/14 - y/7 + 34. Factor m(a).
-(a - 1)**2*(115*a + 1)/7
Let d(r) be the second derivative of r**6/180 + r**5/10 - r**4/72 - r**3/3 - 120*r - 17. Factor d(b).
b*(b - 1)*(b + 1)*(b + 12)/6
Let w(p) be the third derivative of -p**8/70560 - p**7/882 - 5*p**6/126 - 31*p**5/10 - p**2 + 35. Let a(h) be the third derivative of w(h). Factor a(r).
-2*(r + 10)**2/7
Factor 407*w**3 + 5*w**5 + 462*w**3 - 949*w**3.
5*w**3*(w - 4)*(w + 4)
Let f(z) be the second derivative of 16*z**7/63 - 56*z**6/45 + 49*z**5/30 + 2*z**4/9 - 11*z**3/9 - 2*z**2/3 + 889*z. Suppose f(h) = 0. Calculate h.
-1/4, 1, 2
Let o(u) be the second derivative of -u**4/9 + 20*u**3/3 + 350*u**2/3 + 2786*u. Factor o(s).
-4*(s - 35)*(s + 5)/3
Let a(i) be the first derivative of i**5/20 + 7*i**4/8 - 34*i**3/3 + 113*i**2/4 - 105*i/4 + 2580. Factor a(f).
(f - 5)*(f - 1)**2*(f + 21)/4
Let a = 1290 + -1286. Let r be (0 - a - 0)*(-1)/2. Solve 2*x - 1/3*x**r + 7/3 = 0.
-1, 7
Let a be -1 - (-3)/((-12)/(-5)). Let z = -67/867 - -1001/1734. Suppose -1/4*n**4 + a*n**2 + 1/2*n + 0 - z*n**3 = 0. Calculate n.
-2, -1, 0, 1
Solve -306*t**3 - 16*t**4 + 186*t**4 - t**2 - 3*t**2 + 140*t**4 = 0 for t.
-2/155, 0, 1
Factor -150*c - 1163*c**3 + 110*c**2 + 2*c**4 - 24*c + 1225*c**3.
2*c*(c - 1)*(c + 3)*(c + 29)
Let a(s) be the first derivative of s**6/3060 + 9*s**5/340 - 7*s**4/51 + 32*s**3/3 - 126. Let g(d) be the third derivative of a(d). Solve g(i) = 0.
-28, 1
Let c(t) = -42*t**3 + 753*t**2 + 1630*t + 415. Let v(w) = -w**2 + 2*w + 3. Let j(o) = -c(o) + 5*v(o). Suppose j(z) = 0. What is z?
-5/3, -2/7, 20
Factor 138/13*i**2 + 2/13*i**3 + 438/13 - 578/13*i.
2*(i - 3)*(i - 1)*(i + 73)/13
Let y(u) be the first derivative of -3*u**5/35 + 39*u**4/7 - 366*u**3/7 - 12090*u**2/7 - 72075*u/7 + 178. Find j such that y(j) = 0.
-5, 31
Let f be 21/(1050/520)*30/4. Let s be (4 - 318/f)/((-9)/144). Let s + 36/13*k**2 + 14/13*k**3 + 40/13*k + 2/13*k**4 = 0. What is k?
-2, -1
Let w(v) be the third derivative of -v**5/420 - 5*v**4/14 - 58*v**3/21 + 455*v**2. Solve w(s) = 0 for s.
-58, -2
What is y in 4/9*y**4 - 148/9*y**2 + 140/9*y + 4/9*y**3 + 0 = 0?
-7, 0, 1, 5
Let d = -14 - -15. Let i(n) = -15*n**2 + 30*n - 10. Let w(j) = j**2 - j + 1. Let q(f) = d*i(f) + 10*w(f). Factor q(t).
-5*t*(t - 4)
Suppose 2*g = 8, 4*b = 2*b - g + 4. Suppose -r + 2 = -b*r. Factor 16*m + 6*m**2 + 0*m**2 - 8*m**r - 32.
-2*(m - 4)**2
Let i(t) be the first derivative of t**7/42 + 3*t**6/10 - 3*t**5/20 - 25*t**4/12 + 3*t**3 + 61*t + 99. Let k(o) be the first derivative of i(o). Factor k(m).
m*(m - 1)**2*(m + 2)*(m + 9)
Let w = 49 + -20. Solve -13*y**4 - 5*y**3 - 11*y**4 + w*y**4 = 0.
0, 1
Find c such that 14/15*c**4 - 24/5*c - 92/15*c**3 - 24/5 + 182/15*c**2 = 0.
-3/7, 2, 3
Let a(d) = -4*d**4 - d**3 + d**2 + d. Let t(r) = -5*r**4 + 3*r**3 - 2*r**2 + r. Let g(j) = 3*a(j) - 3*t(j). Let g(f) = 0. Calculate f.
0, 1, 3
Let o(q) = -141*q**2 + 570*q + 3267. Let j(v) = 82*v**2 - 342*v - 1960. Let h(l) = 12*j(l) + 7*o(l). Suppose h(a) = 0. What is a?
-31, -7
Let b = -26060964/17 + 1532998. Factor -2/17*n + 4/17 + b*n**3 - 4/17*n**2.
2*(n - 2)*(n - 1)*(n + 1)/17
Let q(z) be the first derivative of -2/45*z**5 + 2/27*z**3 + 91 - 1/9*z**4 + 2/9*z**2 + 0*z. Factor q(b).
-2*b*(b - 1)*(b + 1)*(b + 2)/9
Let j be 80/(-176)*(-11 - 0). Let m(a) be the second derivative of 0*a**2 + 1/90*a**6 + 13*a + 1/20*a**j + 0*a**3 + 0 + 1/18*a**4. Factor m(l).
l**2*(l + 1)*(l + 2)/3
Let f(n) be the first derivative of -n**4/12 + n**3/9 + 2*n**2/3 - 4*n/3 - 62. Factor f(i).
-(i - 2)*(i - 1)*(i + 2)/3
Let c(t) = -63*t - 194. Let n be c(-3). Let v(f) = -30*f**2 + 265*f + 260. Let b(u) = 7*u**2 - u - 1. Let g(r) = n*b(r) - v(r). Factor g(x).
-5*(x + 1)*(x + 51)
Suppose -9*f + 0 = -90. Let