*3 - 144270*r**2 + 1590140 - 904399*r + 665*r**4 - 796681*r.
-5*(r - 43)**3*(r - 2)**2
Let j(k) = 174*k - 6. Let x be j(6). Factor -x + 2*w**3 + 1038 + w**2 + w**4.
w**2*(w + 1)**2
Let j(v) be the second derivative of -1/8*v**5 + 12*v + 0*v**6 + 5/3*v**3 - 3 + 6*v**2 - 5/36*v**4 + 1/252*v**7. Let j(b) = 0. Calculate b.
-2, 3
Determine b so that -2368/3*b + 0 - 4/3*b**2 = 0.
-592, 0
Let g(b) = -5*b**2 + 620*b + 2020. Let h(u) = 7*u**2 - 928*u - 3031. Let q(t) = 8*g(t) + 5*h(t). What is j in q(j) = 0?
-3, 67
Determine s so that -5/4*s**2 + 2755/4*s + 690 = 0.
-1, 552
Solve -144/5 + 4/5*c**2 + 4*c = 0.
-9, 4
Let b(d) = 493*d**2 + 423*d - 18. Let i(x) = -x**2 - 24*x + 3. Let g(j) = b(j) - 2*i(j). Find h such that g(h) = 0.
-1, 8/165
Let f(n) = 4*n - 18. Let m be f(5). Suppose 5*i = m*i + 9. Let 7*r**3 + 0*r - 6*r + 15*r**2 + 3*r**4 - 19*r**i = 0. Calculate r.
0, 1, 2
Let i(c) = c**3 - 26*c**2 - 146*c + 3216. Let y be i(27). Factor -65/4 + 95/2*m + 25/2*m**y + 5/4*m**4 - 45*m**2.
5*(m - 1)**3*(m + 13)/4
Let h = 99939 - 899449/9. Factor 0 + h*q**3 + 28/9*q + 10/3*q**2.
2*q*(q + 1)*(q + 14)/9
Let i be (748/119 - 6)*14/2. Factor -1/9*p**i - 2/3 + 5/9*p.
-(p - 3)*(p - 2)/9
Let t(z) be the first derivative of z**5/12 + 25*z**4/24 - 5*z**3 + 3*z**2/2 + 2*z + 17. Let c(a) be the second derivative of t(a). Factor c(g).
5*(g - 1)*(g + 6)
Determine a, given that 384/7*a + 0 - 12/7*a**4 + 512/7*a**2 + 120/7*a**3 - 4/7*a**5 = 0.
-4, -1, 0, 6
Suppose -165*s + 124 = -68*s - 66*s. Determine w, given that 0 + 0*w + 0*w**2 + 4/5*w**s + 1/5*w**5 + 4/5*w**3 = 0.
-2, 0
Let z(c) = -21 - 24 + 73 - 27 - c**2. Let s(y) = -9*y**2 + 50*y - 617. Let f(o) = -3*s(o) + 24*z(o). Determine t, given that f(t) = 0.
25
What is t in -2/3*t**2 + 212 - 314/3*t = 0?
-159, 2
Suppose 15*n - 20*n - 10 = 0. Let x be -46*(-3)/9 + n/6. What is f in 63/4*f**2 - 75/4*f**4 + x*f - 15*f**3 + 3 = 0?
-1, -2/5, 1
Let y(o) be the second derivative of -o**4/8 - 39*o**3/4 - 405*o**2/2 - 4310*o. Factor y(v).
-3*(v + 9)*(v + 30)/2
Let k(f) = -f**3 + 21*f**2 - 87*f - 133. Let g be k(8). Let l(v) be the second derivative of -9/7*v**2 - 6*v + 5/14*v**g + 0 + 1/28*v**4. Factor l(q).
3*(q - 1)*(q + 6)/7
Let d = -166633 + 166635. Factor 0 + 9/8*b**3 + 105/4*b**4 - 147/8*b**5 - 15/2*b**d - 3/2*b.
-3*b*(b - 1)**2*(7*b + 2)**2/8
Let z(b) = b**3 - 4*b**2 + 2*b - 5. Let f(u) = -6*u - 32. Let m be f(-6). Let g be z(m). Let 0*j - 5*j**2 + 14*j**g - 4 - 27*j**2 + 22*j = 0. Calculate j.
2/7, 1
Let h(s) be the second derivative of -3/2*s**2 + 26*s + 3/4*s**3 + 0 - 1/8*s**4. Find f such that h(f) = 0.
1, 2
Let f(g) = -g**3 + 14*g**2 + 18*g - 48. Let o be f(15). Let m(w) = -w**3 - 4*w. Let y(v) = v**3 + 3*v + 0*v + 0*v**3. Let a(r) = o*m(r) - 4*y(r). Factor a(b).
-b**3
Let p(u) = 6*u**3 + 688*u**2 + 696*u + 14. Let s(b) = 2*b**3 + 229*b**2 + 232*b + 5. Let d(k) = 5*p(k) - 14*s(k). Find n, given that d(n) = 0.
-116, -1, 0
Let m be 559062/336 + (-1)/1. Let c = m - 1658. Solve 3/8*j**4 - 19/8*j**3 + 3/4 + c*j**2 - 29/8*j = 0.
1/3, 1, 2, 3
Let t be ((-6020)/7525)/((7/(-18))/((-45)/(-12))). Factor -t*q**2 - 48*q - 2/7*q**3 + 56.
-2*(q - 1)*(q + 14)**2/7
Suppose 0 = g - 3*z + 18, -g + 2*z - 63 + 53 = 0. Factor -g*s + 9/7*s**2 + 24/7.
3*(s - 4)*(3*s - 2)/7
Suppose 5 = 5*m, -4*m = 6*g - 11*g + 31. Let q = -5 + g. What is r in 0*r**3 + 2*r**3 - 4*r**q + 16 + 2*r**3 - 8*r**2 = 0?
-1, 2
Let i(z) be the first derivative of 5*z**5/12 - 77*z**4/72 + z**3/9 - 241*z**2/2 - 102. Let y(j) be the second derivative of i(j). Suppose y(p) = 0. What is p?
2/75, 1
Let a be (-10)/(-1 - 4) - (1 - 1). Determine w, given that 8*w**a + 4*w**3 + 24*w - 35*w - w = 0.
-3, 0, 1
Let o be 101*(-276)/(-13938) - ((-15)/(-2))/(-3). Determine d, given that -15/4*d - 63/8*d**2 + 0 - 3/8*d**4 - o*d**3 = 0.
-10, -1, 0
Let b(v) = -21*v**2 - 8*v + 29. Suppose -2*f - 77 = -25. Let d(z) = 5*z**2 - 7 - 38*z - 53*z + 93*z. Let y(n) = f*d(n) - 6*b(n). Factor y(k).
-4*(k - 1)*(k + 2)
Let p be (-32)/12*536/402 - -4. Factor -4/9*n**3 + p*n + 4/3*n**2 - 4/3.
-4*(n - 3)*(n - 1)*(n + 1)/9
Let w = -49 - -53. Suppose -3*d + w*d = 5*a + 31, -a = 5. Find o, given that -o**4 - o**2 - 4*o**3 + 12*o - d*o + 0*o**4 = 0.
-3, -2, 0, 1
Let w(d) = -5*d**2 - 42*d + 240. Let m(o) = 33*o**2 + 250*o - 1440. Let q(b) = 6*m(b) + 39*w(b). Suppose q(g) = 0. What is g?
6, 40
Let k(h) be the third derivative of -h**7/560 + 41*h**6/80 - 3277*h**5/80 - 3569*h**4/16 + 20667*h**3/16 - 1969*h**2 + 1. Solve k(y) = 0 for y.
-3, 1, 83
Let z = -31597 + 31599. Suppose 6*d - 11/2*d**z - 9/4 + 2*d**3 - 1/4*d**4 = 0. What is d?
1, 3
Let p be (2 - (-1 - -7 - -2))*624/(-1092). Find t, given that 18/7*t**4 - 40/7*t + 6/7*t**2 - p + 2/7*t**5 + 38/7*t**3 = 0.
-6, -2, -1, 1
Let n = 599/508 - 118/127. Let y(h) be the first derivative of 1/12*h**3 + 15 - 3/4*h + n*h**2. Solve y(i) = 0.
-3, 1
Let l(z) be the second derivative of 5*z**4/12 + 1210*z**3/3 + 146410*z**2 + z - 9. Determine d, given that l(d) = 0.
-242
Let z be (-3 - 0)/(-9) + ((-2704)/(-39))/26. Factor 0 + 0*l - 4*l**2 - 1/2*l**z.
-l**2*(l + 8)/2
Let s(q) = -22 + 98*q + 11 - 58*q - q**2. Let o(k) = -k**2 + 20*k - 6. Suppose -2 = p + 4. Let i(y) = p*s(y) + 11*o(y). Solve i(l) = 0 for l.
-4, 0
Let t(q) be the first derivative of -q**5/20 + 9*q**4/4 - 45*q**3/2 - 675*q**2/2 + 30375*q/4 - 970. Let t(l) = 0. Calculate l.
-9, 15
Let s = 32144 - 96416/3. Let m(j) be the first derivative of 2/3*j**4 + s*j + 11*j**2 + 8*j**3 - 30. Factor m(w).
2*(w + 8)*(2*w + 1)**2/3
Let a(h) be the second derivative of -11*h**4/24 + 71*h**3/12 + 21*h**2/2 + 852*h. Factor a(k).
-(k - 7)*(11*k + 6)/2
Let n(f) = 7*f**3 - 718*f**2 - 2878*f - 2880. Let k(m) = m**3 - 120*m**2 - 480*m - 480. Let p(b) = -39*k(b) + 6*n(b). Factor p(z).
3*(z + 2)**2*(z + 120)
Let p(f) be the second derivative of f**7/14 - 43*f**6/150 + 9*f**5/100 + 47*f**4/60 - 4*f**3/5 - 2*f**2/5 + 7226*f. Let p(q) = 0. What is q?
-1, -2/15, 1, 2
Let h(n) = -n + 115. Let c be h(14). Let v = c + -97. Suppose -21/2*m**v - 3 - 189/4*m**2 + 21*m + 159/4*m**3 = 0. What is m?
2/7, 1/2, 1, 2
Let q(x) be the second derivative of -1 + 7/48*x**4 - 1/8*x**3 - 1/40*x**6 - 14*x + 7/80*x**5 + 0*x**2. Let q(t) = 0. What is t?
-1, 0, 1/3, 3
Let b(o) = 3*o**5 - o**4 + 14*o**3 - 32*o**2 - 92*o. Let l(q) = 2*q**5 + 15*q**3 - 32*q**2 - 93*q. Let s(y) = 3*b(y) - 4*l(y). Factor s(d).
d*(d - 4)**2*(d + 2)*(d + 3)
Let n be ((-594)/(-9))/2 + -7. Suppose -20*u = -n*u. What is g in 0*g + 2/9*g**4 + 0 + 2/9*g**3 + u*g**2 = 0?
-1, 0
Let g(a) be the first derivative of a**8/3528 + a**7/441 + 2*a**6/315 + 2*a**5/315 - 41*a**2/2 - 131. Let q(u) be the second derivative of g(u). Factor q(p).
2*p**2*(p + 1)*(p + 2)**2/21
Suppose -33 = 15*b - 26*b. Suppose f = z, 0 = f - 6*f - b*z. Determine j, given that 0*j**2 + 0 + 2/3*j**3 + f*j = 0.
0
Let w = -31706 + 95153/3. Factor 0 - 2/3*f - w*f**2.
-f*(35*f + 2)/3
Let q = 27 - -152. Factor 2*t + q*t - t**4 - 224*t**2 + 83*t + 29*t**3 - 68*t.
-t*(t - 14)**2*(t - 1)
Let l = -89925 - -89928. Suppose -9/5*k**4 - 1/5*k + 0 + k**2 - 3/5*k**l = 0. What is k?
-1, 0, 1/3
Suppose -1188*g + 151 + 2225 = 0. Factor -g*t**3 + 16/9*t - 8/9 + 2/3*t**2.
-2*(t + 1)*(3*t - 2)**2/9
Let y(t) be the second derivative of 3*t**5/20 + 729*t**4/16 + 453*t**3/4 + 543*t**2/8 + 3331*t. Let y(b) = 0. What is b?
-181, -1, -1/4
Let c(a) be the first derivative of -a**4/4 + 223*a**3/3 - 12543*a**2/2 + 12321*a + 881. Factor c(t).
-(t - 111)**2*(t - 1)
Let b be (6/120)/(161/920). Solve 13/7*u + 24/7*u**2 - b*u**4 - 12/7 - 3/7*u**3 = 0 for u.
-4, -1, 1/2, 3
Find x such that 2*x**4 + 21*x**3 - x**4 - 8*x**2 - 23*x**3 - 14*x**2 - 19*x**3 = 0.
-1, 0, 22
Let f(g) be the first derivative of -73 + 0*g - 1/9*g**2 + 8/27*g**3. Factor f(w).
2*w*(4*w - 1)/9
Let t(m) be the second derivative of m**6/15 + 7*m**5/10 + 2*m**4 - 4*m**3/3 - 16*m**2 - 635*m - 2. Factor t(x).
2*(x - 1)*(x + 2)**2*(x + 4)
Let z(m) be the second derivative of m**4/48 + 133*m**3/2 + 159201*m**2/2 - 71*m + 3. Factor z(a).
(a + 798)**2/4
Suppose 54 = 12*y + 6. Suppose -437*g - 3*g**5 + 16*g**3 - 187*g - 192 - 723*g**2 - 57*g**y - 361*g**3 = 0. What is g?
-8, -1
Let b(v) = -v**2 - 9*v + 10. Let c be b(-10). Let u = -26734/7 - -80230/21. Suppose -6*l**3 - 2/3*l + 10/3*l**2 - u*l**5 + c