.
-229, 1
Let q = -415 + 432. Suppose 64*f = q*f. Factor f*s**3 + 4/7*s**4 + 0 - 4/7*s**2 - 2/7*s**5 + 2/7*s.
-2*s*(s - 1)**3*(s + 1)/7
Factor 2*h**2 + 5022*h + 22295 + h**2 + 1082615 + 593516 + 403281.
3*(h + 837)**2
Let p(l) = 5*l**2 + 199*l - 596. Let o(n) = -6*n**2 - 204*n + 597. Let f(b) = 2*o(b) + 3*p(b). Solve f(k) = 0.
-66, 3
Let m(g) be the first derivative of 33/5*g**4 + 36/5*g + 96/5*g**2 + 89/5*g**3 - 72 + 21/25*g**5. Suppose m(o) = 0. What is o?
-3, -2, -1, -2/7
Let v(w) be the second derivative of -w**9/3024 - w**8/672 - w**7/504 + w**4/4 + w**3/2 + 7*w. Let h(j) be the third derivative of v(j). Factor h(i).
-5*i**2*(i + 1)**2
Let b(r) be the third derivative of r**7/840 - r**5/30 + 28*r**3/3 + r**2 + 31*r. Let o(d) be the first derivative of b(d). Factor o(j).
j*(j - 2)*(j + 2)
Let j(f) be the second derivative of 7/78*f**4 - 2/39*f**3 + 0 + 78*f + 0*f**2. Suppose j(v) = 0. What is v?
0, 2/7
What is w in 4/9*w**4 - 184/9*w + 64/9 - 70/9*w**3 + 184/9*w**2 + 2/9*w**5 = 0?
-8, 1, 2
Suppose -941*s = -937*s - 40, -s + 6 = -u. Let 0*k - 2/9*k**u + 14/9*k**2 - 4/3*k**3 + 0 = 0. What is k?
-7, 0, 1
Let o(a) be the first derivative of a**4/4 - 4*a**3/3 - 30*a**2 + 288*a - 809. Find j, given that o(j) = 0.
-8, 6
Suppose 632 = 311*p + 10. Let -18/7*m + 2/21*m**3 + 0 - 4/7*m**p = 0. Calculate m.
-3, 0, 9
Let u(d) be the first derivative of -44 + 0*d + 1/6*d**4 + 4/9*d**3 + 1/3*d**2. Factor u(b).
2*b*(b + 1)**2/3
Solve -652 + 4/5*b**2 + 632/5*b = 0.
-163, 5
Let k be (-808)/303 - 17/(-3). Factor 177*j - 117*j + 138*j + k*j**4 + 65 - 60*j**2 - 6*j**3 - 200 + 0*j**4.
3*(j - 3)**2*(j - 1)*(j + 5)
Factor -582*y - 387/2 - 3/2*y**4 - 585*y**2 - 198*y**3.
-3*(y + 1)**3*(y + 129)/2
Let v(m) be the first derivative of -2*m**6/3 - 168*m**5/5 - 480*m**4 - 3200*m**3/3 + 1732. Find b such that v(b) = 0.
-20, -2, 0
Let a(u) be the second derivative of u**8/4200 + u**7/700 - u**6/900 - u**5/100 + 9*u**3 - 28*u. Let s(x) be the second derivative of a(x). Factor s(g).
2*g*(g - 1)*(g + 1)*(g + 3)/5
Let k(u) be the first derivative of 1/9*u**2 + 1/54*u**4 + 2/27*u**3 - 16*u + 21. Let j(n) be the first derivative of k(n). Factor j(w).
2*(w + 1)**2/9
Let u be (0 - 1/(-9))/(((-783)/(-18))/87). Factor u*q**3 - 20/9*q**2 + 64/9*q - 64/9.
2*(q - 4)**2*(q - 2)/9
Let a = 189 + -169. What is v in 46*v**4 + 7*v**3 - 35*v**2 + a + 5*v**5 - 12*v**3 - 31*v**4 = 0?
-2, -1, 1
Let l(o) be the second derivative of o**7/1470 - o**6/315 + o**5/210 - 76*o**3/3 - 104*o. Let s(q) be the second derivative of l(q). Factor s(b).
4*b*(b - 1)**2/7
Let b = -626 + 628. Suppose b*y + 5*j + 9 - 17 = 0, -5*j = 0. Factor 2/19*s**5 + 0 - 2/19*s**3 + 0*s + 0*s**y + 0*s**2.
2*s**3*(s - 1)*(s + 1)/19
Let z(m) be the third derivative of m**7/2310 - m**5/330 + m**3/66 - 459*m**2. Find p, given that z(p) = 0.
-1, 1
Factor -198*c**2 - 188*c**4 - 96*c**3 - 250*c**2 + 343*c**4 - 151*c**4.
4*c**2*(c - 28)*(c + 4)
Let x = 1992 - 1992. Let k(a) be the third derivative of 1/60*a**5 + x*a + 24*a**3 + 0 - a**4 - 29*a**2. Determine q, given that k(q) = 0.
12
Let d(s) be the first derivative of 4*s**5/35 + 11*s**4 - 316*s**3/7 + 478*s**2/7 - 320*s/7 - 5195. Factor d(u).
4*(u - 1)**3*(u + 80)/7
Suppose 5*f - 24 = z, -4*f - 2*z = -5*z - 17. Let t(i) = -5*i + 41. Let d be t(f). Factor -7*c - 51*c**2 + 0*c + d - c + 52*c**2.
(c - 4)**2
Let g(q) be the first derivative of 3*q**5/10 + 167*q**4/8 - 241*q**3/6 - 747*q**2/4 - 171*q + 277. Determine z so that g(z) = 0.
-57, -1, -2/3, 3
Suppose 35 = 5*g + 5*h + 5, -2*h + 18 = 3*g. Let 36 + 18*c + 5*c**3 - 30*c - g*c**3 - 3*c**3 - 20*c**2 = 0. Calculate c.
-3, 1
Let r(w) = 2*w**3 - w**2 + w + 1. Let h be r(-1). Let b be (-8)/(-24)*h/(-5). What is j in 0*j + b - 1/5*j**2 = 0?
-1, 1
Let p(f) be the third derivative of 0 + 1352/9*f**3 - 13/9*f**4 + 1/180*f**5 - 256*f**2 + 0*f. Factor p(r).
(r - 52)**2/3
Let k(b) be the third derivative of -b**6/240 - 7*b**5/20 - 41*b**4/48 + 18*b**2 + 51*b. Determine h, given that k(h) = 0.
-41, -1, 0
Suppose 5*s + 76 = 2*f, -1038*f + 1035*f - 47 = 4*s. Factor 14/5*g**2 + 34/5*g - 2/5*g**f + 18/5.
-2*(g - 9)*(g + 1)**2/5
Let g = 201 - 198. Suppose 53*l**2 - 44*l**4 - 12*l + 13*l**2 + 5*l**g - 22*l**2 + 7*l**5 = 0. Calculate l.
-1, 0, 2/7, 1, 6
Let q(h) = 16*h**2 + 130*h - 244. Let t(u) = 19*u**2 + 132*u - 244. Let m(x) = -6*q(x) + 5*t(x). Factor m(d).
-(d - 2)*(d + 122)
Suppose 1621669 - 1621342 = 109*f. Factor 0 - 3/4*m**f - 33/4*m - 9*m**2.
-3*m*(m + 1)*(m + 11)/4
Suppose 3192 = 13*o - 9*o. Let n be ((-208)/(-42))/2 - (-76)/o. Find t such that -2/7*t**4 + n*t**3 - 6*t**2 - 12/7 + 38/7*t = 0.
1, 6
Suppose 0 = 2*r - 3*s - 0*s - 18, 5*s = 5*r - 35. Factor 6*q + 59*q**3 - 125*q**r + 2*q**4 + 8 + 60*q**3 - 10*q**2.
2*(q - 4)*(q - 1)*(q + 1)**2
Let k be 3/21*-1 - (-8 - 8)/112. Let f(v) be the third derivative of 1/15*v**5 + 0 + k*v**3 + 0*v + 10*v**2 + 2/3*v**4. Factor f(h).
4*h*(h + 4)
Let x(l) be the second derivative of 2*l**2 - 10/3*l**3 - 3*l - 2*l**5 + 2 - 2/21*l**7 + 10/3*l**4 + 2/3*l**6. Factor x(q).
-4*(q - 1)**5
Suppose 5*r - 2*m = 8, 59*m - 61*m - 6 = -4*r. Let d(n) be the first derivative of -1/24*n**3 + 14 - 3/4*n - 5/16*n**r. Factor d(y).
-(y + 2)*(y + 3)/8
Let v(o) = 7*o**3 - 115*o**2 - 105*o + 632. Let s be v(17). Factor -1331/2*x**s + 2178*x**2 + 864 - 2376*x.
-(11*x - 12)**3/2
Let s(d) be the first derivative of -10/3*d**2 + d**4 + 55 + 0*d + 2/3*d**3 + 2/15*d**5. Suppose s(j) = 0. Calculate j.
-5, -2, 0, 1
Let p be 62762/13449 - (-2 + 24/(-2)). Factor -1/6*z**2 - 20/3*z + p + 1/6*z**3.
(z - 4)**2*(z + 7)/6
Suppose 0*c = 4*c + 5*i - 13, 7 = c + 5*i. Let w be ((-10)/(-75))/((-26)/(-12) - c). Suppose -17/5*h**3 + 0 - 4/5*h**4 - 4*h**2 - w*h = 0. What is h?
-2, -1/4, 0
Let n(c) be the first derivative of 10*c**2 - c**5 - 10/3*c**3 + 15*c - 33 - 5*c**4. Solve n(i) = 0.
-3, -1, 1
Let t(p) = -p**3 - p + 4. Let s(g) = 6*g**3 - 36*g**2 + 58*g - 8. Let n(i) = -s(i) - 2*t(i). Determine w so that n(w) = 0.
0, 2, 7
Let i = -300673 - -902020/3. Determine p so that 5/3*p**2 + 3/2*p - 2*p**4 - 5/6*p**3 - 2/3*p**5 + i = 0.
-2, -1, -1/2, 1
Let f be (8/6)/(2/3). Let h = 101 + -90. Determine n, given that -3*n**3 + 7*n**2 - h*n**f + 4*n**2 + 3*n = 0.
-1, 0, 1
Let q(r) be the first derivative of -r**3/33 - 2070*r**2/11 - 4284900*r/11 + 3180. Factor q(f).
-(f + 2070)**2/11
Let m = -325981/7 + 46569. Find a such that 0 - 1/7*a**2 + m*a = 0.
0, 2
Let y(c) = -c**3 - 11*c**2 - 17*c + 31. Let q be y(-12). Let -4*l**2 + 9*l**2 + q*l - 92*l + 8000 + 113*l = 0. Calculate l.
-40
Factor 685/3 - 5/3*z**2 - 680/3*z.
-5*(z - 1)*(z + 137)/3
Let j be (-3)/6*(-38)/380. Let p(h) be the third derivative of -1/4*h**4 + j*h**6 + 0*h**3 + 41*h**2 + 1/20*h**5 - 1/70*h**7 + 0 + 0*h. Factor p(q).
-3*q*(q - 2)*(q - 1)*(q + 1)
Let p(g) be the third derivative of -1/660*g**6 - 170*g**2 + 0*g - 289/44*g**4 - 4913/33*g**3 - 17/110*g**5 + 0. Determine l, given that p(l) = 0.
-17
Let q = 872429 + -4362144/5. Factor -4/5*n + 12/5 - q*n**2.
-(n - 2)*(n + 6)/5
Factor 30 - 2/3*j**2 - 8/3*j.
-2*(j - 5)*(j + 9)/3
Find w, given that 317/4 - 635/4*w + 319/4*w**2 - 1/4*w**3 = 0.
1, 317
Let p(h) = h + 1. Suppose 1325 - 1311 = 7*m. Let w(a) = 4 + 2*a**2 - 2 - 1 - 3 - 4*a. Let y(f) = m*p(f) + w(f). Factor y(t).
2*t*(t - 1)
Let s(v) be the first derivative of v**3/4 + 99*v**2/8 - 351*v/2 - 1180. Find d such that s(d) = 0.
-39, 6
Factor 3664/3*a + 4/3*a**2 + 839056/3.
4*(a + 458)**2/3
Determine p, given that 24*p - 47/2 - 1/2*p**2 = 0.
1, 47
Let p(s) be the third derivative of s**7/210 + s**6/10 + 9*s**5/20 - s**2 - 1827*s. Let p(f) = 0. Calculate f.
-9, -3, 0
Let a(r) = -15*r + 1444. Let k be a(96). Let v(p) be the third derivative of 0*p - 1/6*p**3 + 0 + 1/18*p**k - 1/180*p**5 - 12*p**2. Let v(d) = 0. What is d?
1, 3
Let o(n) be the third derivative of -5*n**8/336 + 2*n**7/21 - n**6/24 - 7*n**5/6 + 25*n**4/6 - 20*n**3/3 + n**2 - 71. What is k in o(k) = 0?
-2, 1, 2
Suppose -58 = -3*y + 5*u, 70 - 50 = -4*u. Let z(v) be the first derivative of -7/2*v**4 + 0*v**2 + 2*v**5 + y + 4/3*v**3 + 0*v. Suppose z(m) = 0. Calculate m.
0, 2/5, 1
Let t be (-15360)/(-7440) + (-3)/((-372)/(-8)). Determine j, given that -4/5 - 784/5*j**3 - 116/5*j - 896/5*j**t = 0.
-1, -1/14
Let s(f) be the third derivativ