*f - n = -7*f + 4*v, 1 = -3*f - v. Let 1/3*l**5 + f + 2/3*l + 1/3*l**4 - 1/3*l**2 - l**3 = 0. Calculate l.
-2, -1, 0, 1
Let x = 61 - -70. Factor -127*h**2 + 1378 - 160*h + 222 + x*h**2.
4*(h - 20)**2
Let i(n) be the first derivative of n**3/2 + 21*n**2/4 - 216*n - 4431. Find x, given that i(x) = 0.
-16, 9
Let d be 1/((-4488)/642 - -7). Let n = d + -107. Let 0*p + 1/4*p**3 - 1/4*p**5 + n*p**4 + 0 + 0*p**2 = 0. What is p?
-1, 0, 1
Let j(c) be the third derivative of -c**6/120 + 73*c**5/60 - 1643*c**4/24 + 10571*c**3/6 + 1353*c**2. Factor j(g).
-(g - 31)**2*(g - 11)
Let i(x) = -91*x**2 - 816*x + 30. Let c be i(-9). Let q = 0 + 2. Determine m, given that 0 - 3/4*m**c + 3/4*m + 0*m**q = 0.
-1, 0, 1
Let o be 156/(-18) + (-78 - -95). Find j such that 10/3*j + 5*j**5 + o*j**2 + 0 - 25/3*j**4 - 25/3*j**3 = 0.
-1, -1/3, 0, 1, 2
Let h(t) be the third derivative of -t**5/100 + t**4/4 + 72*t**3/5 - 26*t**2 - 54. Factor h(b).
-3*(b - 18)*(b + 8)/5
Factor -4/9*l**3 - 176/9*l**2 - 1352 - 2548/9*l.
-4*(l + 13)**2*(l + 18)/9
Let c = -510550 + 510553. Factor 2*w**4 + 1/2*w**5 - 3 - 17/2*w + 0*w**c - 7*w**2.
(w - 2)*(w + 1)**3*(w + 3)/2
Let c(g) be the first derivative of 3/2*g**3 + 3/4*g**4 + 43 + 3/2*g**2 + 3/20*g**5 + 3/4*g. Factor c(x).
3*(x + 1)**4/4
Factor -21 + 76*v - 122603*v**2 + 170*v - 99*v**4 + 121991*v**2 - 84*v**4 + 570*v**3.
-3*(v - 1)**3*(61*v - 7)
Suppose -26*a - 45*a + 710 = 0. Let g be 2 - (294/180 + a/(-12)). Suppose -32/5 + 1/5*u**3 + 0*u + g*u**2 = 0. Calculate u.
-4, 2
Let w(c) = c**2 + 4*c - 209. Let v be w(-17). Suppose 4 = 3*r - s, 0 = -3*r - 0*r + 3*s + v. What is z in 9/5*z + r - 9/5*z**3 + 3/5*z**2 - 3/5*z**4 = 0?
-3, -1, 0, 1
Let j(n) = 13*n**3 + 730*n**2 - 1509*n + 716. Let u(t) = 51*t**3 + 2922*t**2 - 6036*t + 2868. Let i(l) = -39*j(l) + 10*u(l). Let i(v) = 0. What is v?
-252, 1
Let r(m) = 1635*m**2 - 1680*m - 3255. Let u(q) = q**3 + 1632*q**2 - 1671*q - 3254. Let k(x) = -4*r(x) + 5*u(x). Determine o, given that k(o) = 0.
-325, -1, 2
Let i = 7762/15 + -7753/15. What is b in -i + 18/5*b**2 + 24/5*b**3 + 9/5*b**4 + 0*b = 0?
-1, 1/3
Let x(p) be the second derivative of -p**6/240 + 7*p**5/80 - 23*p**4/32 + 3*p**3 - 27*p**2/4 - 658*p - 2. Factor x(h).
-(h - 6)*(h - 3)**2*(h - 2)/8
Let x(t) be the first derivative of 0*t**2 - 2 + 0*t**3 - 2*t + 1/30*t**4 - 7/100*t**5. Let n(w) be the first derivative of x(w). Suppose n(f) = 0. Calculate f.
0, 2/7
Let p(a) be the second derivative of 5*a**4/12 - 35*a**3 - 1620*a**2 + 2229*a. Let p(c) = 0. Calculate c.
-12, 54
Let z(p) be the third derivative of 0*p**3 - 1/8*p**4 + 0*p - 1/120*p**6 - 3*p**2 + 1/15*p**5 - 6. Factor z(a).
-a*(a - 3)*(a - 1)
Let i be (72/240)/((-8)/5). Let r = i - -169/48. Suppose -r*z**4 - 5/3*z**3 + 5*z**2 - 5/3 + 5/3*z = 0. What is z?
-1, 1/2, 1
Let q(m) be the first derivative of -2*m**7/105 - m**6/90 + 43*m**3/3 + 49. Let f(b) be the third derivative of q(b). Find a, given that f(a) = 0.
-1/4, 0
Suppose 7*z = i + 5*z + 2, -38 = -5*i - 2*z. Suppose 2*s - 3*a = -i, -3*a + 8*a = -3*s + 10. Factor -1/2*c**5 + 0*c + 1/2*c**4 + 1/2*c**3 + s - 1/2*c**2.
-c**2*(c - 1)**2*(c + 1)/2
Let g = 7 + 30. Suppose 13 = 10*q - g. Factor 23*s**3 + 11*s - 2 + 4*s**q - 8*s**4 - 25*s**2 - 3*s**4 + 2*s**2 - 2*s**5.
(s - 2)*(s - 1)**3*(2*s - 1)
Let p(o) be the second derivative of -256/9*o**2 + 32/27*o**3 + 1 - 1/54*o**4 - 14*o. Determine q, given that p(q) = 0.
16
Let m(q) be the third derivative of q**6/420 - q**5/70 - 3*q**2 - 575*q. Solve m(l) = 0 for l.
0, 3
Let f be (3/2)/(27/6 - 4). Suppose 7 + f = 5*n. Find a, given that 20*a**n + 27*a - 7*a - 11*a - 13*a = 0.
0, 1/5
Let v(b) be the second derivative of -b**4/12 - b**3/2 + 15*b**2 - 22*b. Let j be v(-7). Factor -w + 3*w**j - 2*w**2 + 6 - 14*w - 10*w**2.
-3*(w + 2)*(3*w - 1)
Let l = -756 - -3571. Suppose -2*o = 3*o - l. Factor 563 - 8*f**3 + 8*f - 12*f**2 - o.
-4*f*(f + 2)*(2*f - 1)
Let o(a) be the third derivative of 5*a**8/336 - 3*a**6/2 + 3*a**2 + 2312. Determine w so that o(w) = 0.
-6, 0, 6
Let u be 24/(-2)*(50 + (-1970)/40) - (-26)/2. Suppose -70/9*f - 28/9*f**3 + 5/9*f**u - 16/9 - 29/3*f**2 = 0. What is f?
-1, -2/5, 8
Let d(q) = 4*q - 119. Let l be d(34). Solve -x**2 + 2*x**2 + l - 29 + x = 0.
-4, 3
Factor -56*a - 2/3*a**2 - 576.
-2*(a + 12)*(a + 72)/3
Let a(g) be the first derivative of g**6/18 - 2*g**5/15 - 3*g**4 - 88*g**3/9 - 32*g**2/3 + 523. Factor a(v).
v*(v - 8)*(v + 2)**3/3
Let l = -4140 + 4149. Let u(j) be the third derivative of 0*j**5 - 1/4*j**4 + 0 - l*j**2 + 1/60*j**6 + 0*j + 2/3*j**3. Solve u(f) = 0.
-2, 1
Let h(r) be the third derivative of r**7/840 - r**6/240 - r**5/20 - 19*r**4/24 - r**3/6 - 5*r**2. Let w(b) be the second derivative of h(b). Factor w(i).
3*(i - 2)*(i + 1)
Let k be (-1 - (-2)/1)*-73. Let h = 76 + k. What is z in 43*z**4 - 27*z**4 + 3*z + 9*z**h - 19*z**4 - 9*z**2 = 0?
0, 1
Let f(g) be the first derivative of -3*g**5/25 + 2652*g**4/5 - 3129358*g**3/5 + 9372168*g**2/5 - 9366867*g/5 + 7986. Solve f(p) = 0 for p.
1, 1767
Let g(j) be the second derivative of -j**6/30 + 7*j**5/5 + 5*j**4/2 - 14*j**3/3 - 29*j**2/2 + 746*j. Factor g(x).
-(x - 29)*(x - 1)*(x + 1)**2
Let h be 1540/(-42)*3/(-5). Factor -4*w**3 - w + 12*w**2 + h*w + 43*w + 48.
-4*(w - 6)*(w + 1)*(w + 2)
Let s(q) be the second derivative of -13/16*q**3 - 3/8*q**4 + 3/160*q**5 + 0*q**2 + 0 + 170*q. Find h, given that s(h) = 0.
-1, 0, 13
Find w, given that -255/2*w**2 + 0 - 261*w + 3/2*w**3 = 0.
-2, 0, 87
Let d(y) be the first derivative of -1/54*y**4 - 8 - 9*y - 1/27*y**3 + 0*y**2. Let n(x) be the first derivative of d(x). Factor n(b).
-2*b*(b + 1)/9
Let o(x) be the second derivative of 0*x**4 - 5 - 3*x + 0*x**3 + 1/30*x**6 - 1/50*x**5 - 1/105*x**7 + 0*x**2. Factor o(t).
-t**3*(t - 2)*(2*t - 1)/5
Let p(d) be the third derivative of -d**5/15 - 122*d**4/3 - 968*d**3/3 - 2*d**2 + 1638*d. Suppose p(u) = 0. Calculate u.
-242, -2
Let y = -64167 + 64170. Suppose 0 + 2/5*j**y + 0*j**2 + 0*j = 0. What is j?
0
Let s(c) be the second derivative of -c**4/78 + 998*c**3/39 - 249001*c**2/13 - 119*c - 12. Factor s(h).
-2*(h - 499)**2/13
Let s be (-24)/(-72)*(2030/(-506) - -4) + 13/143. Factor -s*j**2 + 12/23*j - 10/23.
-2*(j - 5)*(j - 1)/23
Find g, given that -g**3 + 133 + 21*g - 21*g**2 + 5*g - 2*g - 89 = 0.
-22, -1, 2
Let f(m) be the second derivative of 13*m**5/110 + 47*m**4/66 - 28*m**3/33 - 32*m**2/11 - 2*m - 162. Determine x, given that f(x) = 0.
-4, -8/13, 1
Suppose -130*z**3 + 47*z**4 - 13 + 128*z**2 + 21*z**4 - 116 - 67*z**4 + 130*z = 0. What is z?
-1, 1, 129
Let v = -20 + 22. Suppose 14*a + 203 = 21*a. Factor a*d**3 + 48*d + 32 - 72*d**v + 11*d**3 - 20*d**3.
4*(d - 2)**2*(5*d + 2)
Let o(t) be the second derivative of 5/33*t**3 - 7 + 0*t**2 - 1/66*t**4 + 2*t. Factor o(z).
-2*z*(z - 5)/11
Let p(q) = -24*q + 49. Let z be p(6). Let r = z - -98. Factor -6*c**2 - 3*c - 3/4*c**4 + 0 - 15/4*c**r.
-3*c*(c + 1)*(c + 2)**2/4
Let u be (5 + -3)*(63 + -2). Let s = -118 + u. Find p such that 48*p**2 - s*p**4 + 12*p**3 - 86*p**2 + 12 + 20 - 48*p + 46*p**2 = 0.
-2, 1, 2
Let k(q) = -31*q**3 - 2290*q**2 - 4561*q - 15. Let b(n) = -8*n**3 - 572*n**2 - 1140*n - 4. Let f(h) = 15*b(h) - 4*k(h). Factor f(z).
4*z*(z + 2)*(z + 143)
Let v(m) be the first derivative of -50*m**6/3 + 1063*m**5 + 10115*m**4/4 + 3335*m**3/3 - 1915*m**2/2 - 550*m - 408. Find i such that v(i) = 0.
-1, -1/4, 2/5, 55
Let o(u) = -21 - 13*u - u**2 + 20 + 13*u. Let w(c) = 12*c**2 + 144*c + 2602. Let r(m) = -10*o(m) - w(m). Factor r(s).
-2*(s + 36)**2
Let t be (-15)/3*-3*3/(-15). Let b be 6 + (t - -5 - 4) + -2. Factor 2*s**3 - 2*s**4 - 3*s**2 + 8*s**b - s**2.
-2*s**2*(s - 2)*(s + 1)
Let n(o) = -4*o**2 + 10*o + 70. Let v(b) = -16*b**2 + 39*b + 279. Let i = 194 - 185. Let q(f) = i*n(f) - 2*v(f). Factor q(u).
-4*(u - 6)*(u + 3)
What is m in -9062*m**4 + 201 + 15120*m**2 + 9437*m**4 + 3188*m - 170*m + 25350*m**3 = 0?
-67, -1/5
Suppose 2*x - 226 = -3*n - 211, -15 = 3*x - 3*n. Let o(c) be the third derivative of 0*c - 31*c**2 + x + 1/210*c**5 - 1/14*c**4 + 0*c**3. Factor o(b).
2*b*(b - 6)/7
Let l be ((-84)/8)/7*-2. Suppose l*k + 4 = -c, -12 + 4 = -3*c + k. Factor -14/3*u - 10/3*u**c - 2 - 2/3*u**3.
-2*(u + 1)**2*(u + 3)/3
Let n(k) be the first derivative of 0*k**3 - 2 + 24*k + 1/30*k**4 - 1/5*k**2. Let b(r) be 