 0*p**3 + 2*p**4 + 0 - 1/14*p**7 - 11/10*p**5 + 156*p**2 + 0*p - 43/40*p**6. Solve c(i) = 0.
-8, -1, 0, 2/5
Solve 70*r**2 - 131*r**5 + 19*r**5 - 440*r - 20*r**4 + 74*r**5 + 175*r**3 - 320 + 17*r**5 + 16*r**5 = 0 for r.
-8, -1, 2, 4
Factor -137/2 + 1/2*m**4 - 204*m**2 + 67*m**3 + 205*m.
(m - 1)**3*(m + 137)/2
Let m(l) be the first derivative of l**4/2 + 230*l**3/7 - 142*l**2 - 624*l/7 + 3795. Suppose m(t) = 0. Calculate t.
-52, -2/7, 3
Let t be ((-2)/(-6))/((-12)/(-4932)). Factor 2*f**2 + 55 - t + 12*f + 48 + 52.
2*(f + 3)**2
Let v(f) be the first derivative of 70*f**2 + 980*f + 5/3*f**3 + 43. Factor v(k).
5*(k + 14)**2
Let s(f) be the third derivative of -f**6/180 - f**5/90 + 5*f**4/36 - f**3/3 - 196*f**2 - 3*f. Factor s(t).
-2*(t - 1)**2*(t + 3)/3
Let n(f) = 4*f + 38. Let q be n(-9). Let 2*j**3 + 53 - 30*j**q + 133*j - 37*j + 75 + 0*j**2 = 0. What is j?
-1, 8
Let s = 246 - 242. Find p such that 13*p**2 + 7*p**2 - 144*p - 22*p**2 + 2592 + s*p**2 = 0.
36
Let n be (0 - 5 - -25)*3/6. Let m(d) be the first derivative of 8 - 5/3*d**3 + 15/2*d**2 - n*d. Factor m(f).
-5*(f - 2)*(f - 1)
Let x(f) be the first derivative of -245*f - 5/4*f**4 - 21 + 65/3*f**3 - 175/2*f**2. Factor x(n).
-5*(n - 7)**2*(n + 1)
Let l(g) be the first derivative of g**4/15 - 2*g**3/5 - 14*g + 75. Let i(t) be the first derivative of l(t). Find p, given that i(p) = 0.
0, 3
Let t = 44 - 43. Let d be (1 - 1) + t + 27. Let -g - 2*g**2 + 12 + 14 - d - 3*g = 0. Calculate g.
-1
Let k(o) = -3*o**2 - 3*o**3 - 2*o - 30 - 26*o**2 + 0*o**3 + o**3 - 3*o**2. Let t be k(-16). Find n, given that 0 - n**t + 0*n - 1/3*n**3 = 0.
-3, 0
Solve 306 + 565*a**2 - 2531*a**4 - 965*a + 5066*a**4 - 2530*a**4 + 204 - 115*a**3 = 0 for a.
1, 2, 3, 17
Let w(g) be the second derivative of -g**5/60 - 172*g**4/9 - 119021*g**3/18 - 117649*g**2/3 + 9*g - 250. Factor w(b).
-(b + 2)*(b + 343)**2/3
Let g = 203 + -185. Let 32*j + 35*j**2 - g*j**2 - 21*j**2 + 66 + 14 = 0. What is j?
-2, 10
Let a(c) be the third derivative of 0*c + 1/30*c**6 + 0*c**3 - 1/210*c**7 + 0 - 153*c**2 + 1/4*c**4 + 11/60*c**5. Factor a(g).
-g*(g - 6)*(g + 1)**2
Let m(v) be the first derivative of 0*v**2 + 0*v + 7/18*v**4 - 13 - 1/27*v**6 + 8/27*v**3 + 4/45*v**5. Determine g so that m(g) = 0.
-1, 0, 4
Let p(t) be the second derivative of -83*t**6/10 - 9*t**5/5 - 8*t + 99. Determine n so that p(n) = 0.
-12/83, 0
Solve -6*o**5 - 356/3*o**4 - 2086*o + 588 - 6992/3*o**2 - 2476/3*o**3 = 0 for o.
-7, -3, 2/9
Solve 211*v**2 - 2*v**4 - 185*v**2 - 206*v - 873 + 1041 + 14*v**3 = 0.
-4, 1, 3, 7
Let y(d) = 63*d**3 + 6621*d**2 + 15269*d + 4437. Let u(p) = 30*p**3 + 3310*p**2 + 7635*p + 2215. Let q(t) = -11*u(t) + 5*y(t). Factor q(g).
-5*(g + 2)*(g + 218)*(3*g + 1)
Let l(b) be the third derivative of -b**5/210 - 58*b**4/21 - 11*b**3 - 21*b**2 - 17*b. Find j, given that l(j) = 0.
-231, -1
Let w(f) be the second derivative of 0*f**2 + 2 - 11/30*f**6 + 1/42*f**7 + 116*f - 5/4*f**5 - 13/12*f**4 + 0*f**3. Suppose w(q) = 0. Calculate q.
-1, 0, 13
Suppose 0 = -8*h + 3*h + 3*b - 7, 2*b = h. Let a be (0/h)/(1 - 2) - -87. Suppose -u - a*u**2 + 84*u**3 + 1 + 2 + 3 - 2*u = 0. What is u?
-1/4, 2/7, 1
Factor 27*y + 2 + 13*y + 4 + 18*y**4 + 48*y**2 - 13*y + 42*y**3 - 842*y**5 + 845*y**5.
3*(y + 1)**4*(y + 2)
Let j be 2*(-4)/480*(-65 - -63). Let o(f) be the third derivative of 0*f + j*f**5 - 1/4*f**4 + 0 + 15*f**2 + 0*f**3. Factor o(w).
2*w*(w - 3)
Suppose -t + 4*d = -289, 1325 = 5*t + 5*d - 20. Factor -t*a**2 + 96*a**2 + 86*a**2 + 1445 + 96*a**2 + 170*a.
5*(a + 17)**2
Let r be (-1 - (-42)/24)*16/20. Let 0 - r*l + 24/5*l**2 = 0. Calculate l.
0, 1/8
Factor 15*m**2 - 42*m + 4*m**3 - 55*m**2 - 144 - 52*m + 226*m.
4*(m - 4)*(m - 3)**2
Suppose -4*h - 15 + 28 = -5*d, 4*h - 11 = 3*d. Solve 7*z**2 - 94*z - h*z**2 + 85*z - 1 + 7 - 2*z**2 = 0 for z.
1, 2
Let r = 608 - 725. Let x be -7 - (r/(-45))/((-4)/12). Factor x*o**5 - 72/5*o**2 - 36/5*o**4 + 108/5 + 104/5*o**3 - 108/5*o.
4*(o - 3)**3*(o - 1)*(o + 1)/5
Let r(m) be the first derivative of m**4/20 - 3*m**3/10 - 6*m**2/5 - 37*m - 85. Let f(b) be the first derivative of r(b). Factor f(q).
3*(q - 4)*(q + 1)/5
Suppose 5 = 11*d + 6 - 45. Let l = 1 - -1. What is y in -2/3*y**3 + 5/6*y - 2/3*y**d + 1/3*y**l - 1/6*y**5 + 1/3 = 0?
-2, -1, 1
Let r be 69/1 - (-30)/18*-3. Suppose r = 150*g - 142*g. Let g + 4/3*y**2 + 20/3*y = 0. What is y?
-3, -2
Let x(p) be the second derivative of -2560/3*p**3 - 2/21*p**7 - 32*p**5 + 8/3*p**6 - 17*p + 640/3*p**4 + 2 + 2048*p**2. Factor x(u).
-4*(u - 4)**5
Suppose -4*a - 4 = -6*a. Factor -5*f**3 + 31*f**5 + f**3 + 2*f**a - 30*f**5 - 2 + 3*f.
(f - 1)**3*(f + 1)*(f + 2)
Suppose -3*y - b + 5 = 0, -3*y + 5*b + 1314 = 1267. Factor 0 + 0*j + 1/6*j**3 + 1/3*j**y - 1/6*j**2.
j**2*(j + 1)*(2*j - 1)/6
Let c = 351 + -308. Let d = 45 - c. Factor 3/5*a**3 - 12/5*a + 9/5*a**d + 0.
3*a*(a - 1)*(a + 4)/5
Let x(f) be the third derivative of 11*f**8/336 - 18*f**7/35 + 343*f**6/120 - 11*f**5/2 - 3*f**4 + 251*f**2. Let x(h) = 0. What is h?
-2/11, 0, 3, 4
Find w, given that 2/7*w**3 - 85/7 + 148/7*w + 43/7*w**2 = 0.
-17, -5, 1/2
Let t(v) be the third derivative of 1/5*v**6 - 3/70*v**7 - 1/5*v**5 - 19*v + 0 + 0*v**3 + 0*v**4 - 2*v**2. Factor t(h).
-3*h**2*(h - 2)*(3*h - 2)
Let j(g) = 31*g**2 - 3*g + 1. Let w be j(1). Factor 3*z**2 + 2*z**2 + 5*z + 0*z - 1 + 0 - w.
5*(z - 2)*(z + 3)
Let l = -156 - -196. Let -16*r**2 - 8*r - 36 + 8*r**3 + l + 12*r**4 + 0 = 0. What is r?
-1, 1/3, 1
Let i(n) be the second derivative of n + 1/6*n**3 + 7/30*n**6 - n**2 + 5/4*n**4 + 17 + 19/20*n**5. Let i(a) = 0. Calculate a.
-1, 2/7
Let o be (-177 - (3 + 1))/(0 - 1). Determine u, given that 213*u**2 - u + u - 2*u**3 - o*u**2 = 0.
0, 16
Let b(q) = -13*q**4 + 380*q**3 + 32*q**2 - 1117*q + 746. Let j(o) = 4*o**4 - 126*o**3 - 10*o**2 + 372*o - 248. Let m(z) = 4*b(z) + 14*j(z). Factor m(v).
4*(v - 61)*(v - 1)**2*(v + 2)
Let f = -6340 + 44382/7. Factor 30/7 + 4*z - f*z**2.
-2*(z - 15)*(z + 1)/7
Let n(p) be the second derivative of p**6/15 + 79*p**5 + 153637*p**4/6 - 314420*p**3 + 1425636*p**2 - 8636*p. Factor n(h).
2*(h - 3)**2*(h + 398)**2
Factor 14/3*m**2 + 40/3 + 94*m.
2*(m + 20)*(7*m + 1)/3
Let m be -6 - (-15)/9*6. Suppose -52/7*c**2 - 6/7*c**m + 10/7 - 40/7*c**3 - 8/7*c = 0. Calculate c.
-5, -1, 1/3
Let o(x) = 19*x**3 - 8*x**2 - 11*x + 8. Suppose 0 = -13*v - 32 + 97. Let j(u) = 12*u**3 - 5*u**2 - 7*u + 5. Let m(d) = v*o(d) - 8*j(d). Factor m(r).
-r*(r - 1)*(r + 1)
Let d be (4 - 1/(-2))*1*36. Factor 5*k**2 + 2*k**2 - d + 159*k - k**2 - 2*k**2 - k**2.
3*(k - 1)*(k + 54)
Let o be 3/14 + -7 + (-969)/(-133). Factor -3 - 7/2*p - o*p**2.
-(p + 1)*(p + 6)/2
Let s(p) be the second derivative of p**6/90 + p**5/4 - 4*p**4/9 + 418*p. Factor s(f).
f**2*(f - 1)*(f + 16)/3
Solve 0 + 63/2*c - 81/2*c**2 + 17/2*c**3 + 1/2*c**4 = 0 for c.
-21, 0, 1, 3
Let r(l) = 41*l**3 + 49*l**2 + 143*l - 142. Let x(p) = 19*p**3 + 24*p**2 + 71*p - 72. Let c(i) = -6*r(i) + 13*x(i). Determine n so that c(n) = 0.
-12, -7, 1
Suppose -299 = -21*t - 5. Suppose -9*z**2 - z**2 + 12*z**2 + t*z = 0. Calculate z.
-7, 0
Let u(l) be the second derivative of l**4/84 - 65*l**3/42 - 67*l**2/7 - 1651*l. Factor u(z).
(z - 67)*(z + 2)/7
Let b(z) be the second derivative of 2*z**2 + 1/18*z**3 + 0 + 10*z + 1/180*z**5 + 1/36*z**4. Let u(x) be the first derivative of b(x). Solve u(k) = 0.
-1
Let h = 2480 - 2445. Let d(w) = -15*w + 527. Let a be d(h). Factor -1/5*y + 0*y**3 - 3/10*y**a + 1/10*y**4 + 0.
y*(y - 2)*(y + 1)**2/10
Find y such that -38*y + 36*y**3 - 6375*y**5 - 24 + 16*y**4 + 8*y**2 + 12763*y**5 - 6386*y**5 = 0.
-4, -3, -1, 1
Let j be (45/25 - 1)*(-1 + 31). Let r be -12*(-5 + -1)/j. Find o, given that 3/2*o**2 + 0*o + 3*o**r + 0 + 3/2*o**4 = 0.
-1, 0
Let f be 32657/5572 - (-340)/(-68). Let g = -3/796 + f. Factor 0 + g*h**3 + 0*h**4 + 0*h**2 - 3/7*h**5 - 3/7*h.
-3*h*(h - 1)**2*(h + 1)**2/7
Let b(c) = 3*c**2 + 143*c - 962. Let y be b(6). Factor 0 + 3/8*r**y + 3/4*r**3 + 3/8*r**2 + 0*r.
3*r**2*(r + 1)**2/8
Let g(w) be the first derivative of -120 + 0*w - 25/17*w**2 - 1/34*w**4 - 20/51*w**3. Factor g(y).
-2*y*(y + 5)**2/17
Suppose -2*g + 18 = -2*y, 910*y + 18 = -4*g + 905*y. Let t(h) be the first derivative of 11 + 0*h + 1/18*h**g + 1/12*h**2. Solve t(f) = 0.
-1, 0
Let z = 13098321 + -32103984293/2451.