 0 + 193*s.
-2*(s + 1)**2
Let 2/17*g**2 + 2580/17 + 2582/17*g = 0. Calculate g.
-1290, -1
Let y(v) be the third derivative of v**7/945 + v**6/135 - v**5/54 - 2*v**2 + 440. Let y(c) = 0. What is c?
-5, 0, 1
Let k(m) be the second derivative of 3*m**5/140 - 1507*m**4/14 + 2271049*m**3/14 + 2*m - 4322. Factor k(n).
3*n*(n - 1507)**2/7
Let 121*q - 103 - 234*q + 88*q - 3*q**2 - 71 + 118*q = 0. What is q?
2, 29
Let k(j) be the second derivative of -2/45*j**5 - 1/270*j**6 + 0 - 1/9*j**4 + 32/9*j**2 - 17*j + 16/27*j**3. Factor k(q).
-(q - 2)*(q + 2)*(q + 4)**2/9
Let i = -2412 - -50654/21. Let j(t) be the third derivative of 1/84*t**4 + i*t**3 - 1/105*t**5 - 1/420*t**6 + 0*t - 3*t**2 + 0. Factor j(y).
-2*(y - 1)*(y + 1)*(y + 2)/7
Factor -3/5*v**2 - 1953/5*v + 5886/5.
-3*(v - 3)*(v + 654)/5
Let x(l) = l**3 - 3*l**2 - 2. Let w(y) = -2*y**3 + 203*y**2 + 193*y + 6. Let p(c) = 2*w(c) + 6*x(c). Let p(s) = 0. What is s?
-193, -1, 0
Let n be 3/7 + (-6)/7*-3. Suppose 2*z - 3*a - 6 = 0, 4*z - 6 = n*a - 0. Determine p so that -5*p**5 - 2*p**4 - 3*p**4 + 15*p**3 + 5*p**2 - 10*p + z*p**4 = 0.
-2, -1, 0, 1
Let s(x) be the third derivative of -x**5/390 - 5*x**4/156 - 2*x**3/13 - 3*x**2 - 249*x. What is v in s(v) = 0?
-3, -2
Let c(r) be the third derivative of -r**7/525 + 427*r**6/150 - 40326*r**5/25 + 5603026*r**4/15 + 93574624*r**3/15 + r**2 + 2390*r. Factor c(v).
-2*(v - 286)**3*(v + 4)/5
Suppose m - 15 = -5*p, -4*p + 4*m = -0*m - 12. Suppose p*t + 3*a = 3, 5 = 3*t - 5*a - 6. Suppose 72 + 67 - 145 - t*b**2 + 8*b = 0. What is b?
1, 3
Suppose 80*t - 2*q + 24 = 85*t, -4*q = 3*t - 34. Find n such that -2/7*n**3 + 0*n + 0 - 12/7*n**5 + 0*n**2 + t*n**4 = 0.
0, 1/6, 1
Let g(c) be the first derivative of 1/7*c**2 + 30*c + 20 + 0*c**3 - 1/42*c**4. Let z(q) be the first derivative of g(q). Factor z(f).
-2*(f - 1)*(f + 1)/7
Let a(f) be the third derivative of f**5/30 + 17*f**4/4 - 52*f**3/3 + 171*f**2 - 3*f. Factor a(q).
2*(q - 1)*(q + 52)
Suppose 0 = -f + 3*b + 1 + 1, 0 = f - 4*b - 1. Let a(m) = 11*m + 68. Let j be a(-6). Determine w, given that -11*w**j + 8*w + 31*w**2 + 12*w + f*w**3 = 0.
-2, 0
Let f(n) be the first derivative of n**6/15 - 3*n**5/5 + 11*n**4/6 - 2*n**3 + 188*n - 209. Let z(y) be the first derivative of f(y). Let z(d) = 0. Calculate d.
0, 1, 2, 3
Let y(j) be the third derivative of -j**5/60 - j**4/24 + j**3/3 + j**2 - 21. Let p(x) = 9*x**2 + 6*x - 11. Let g(h) = -p(h) - 4*y(h). Factor g(c).
-(c + 1)*(5*c - 3)
Let a = -7633 - -1259446/165. Let j(g) be the third derivative of -a*g**5 + 3/44*g**4 + 24*g**2 + 0*g + 0 + 5/33*g**3. Determine l, given that j(l) = 0.
-1/2, 5
Let j(f) = 2*f + 13*f**3 - 16*f**3 + 4*f**2 + 2*f**3. Let y be j(3). Factor -14*a**3 + 19*a**3 + y + 25 - 20*a - 10*a**2.
5*(a - 2)**2*(a + 2)
Let 1350*z - 292*z - 12 + 524*z**2 + 194*z**2 + 352*z**2 = 0. What is z?
-1, 6/535
Factor -6 - 28/5*b + 2/5*b**2.
2*(b - 15)*(b + 1)/5
Let g(f) = 5*f**2 - 267*f + 109. Let r be g(53). Let i(d) be the third derivative of -1/40*d**5 - 15*d**2 + 0*d**r + 1/48*d**4 + 0*d + 0. What is m in i(m) = 0?
0, 1/3
Let c = -40 + 43. What is b in 144*b + 43111 - 43111 + 24*b**2 + b**c = 0?
-12, 0
Suppose 14 = -2*c + 22, t = -9*c + 40. Let w(x) be the first derivative of -1/5*x**5 - 1/2*x**t + 2*x**2 - 4*x + x**3 + 10. Suppose w(b) = 0. Calculate b.
-2, 1
Let l(b) be the third derivative of b**8/1512 - b**7/189 - b**6/18 + 2*b**5/27 + 50*b**4/27 + 64*b**3/9 + 1186*b**2. Determine x, given that l(x) = 0.
-2, 3, 8
Factor 602*j**2 - 570*j**2 - 4*j**4 - 48*j + 140*j**3 - 136*j**3.
-4*j*(j - 2)**2*(j + 3)
Suppose -1/4*r**2 - 5/2*r - 9/4 = 0. Calculate r.
-9, -1
Let f(u) = -5*u**2 + 14*u + 36. Let c(n) = n - 1. Suppose -21 = -11*s - 10. Let a(b) = s*f(b) - 4*c(b). Let a(z) = 0. What is z?
-2, 4
Let q be -1 + 13 - (-1935)/(-129). Let c be (-2)/(-20) - q/6. Solve 0 + 0*t - c*t**2 - 3/5*t**3 = 0 for t.
-1, 0
Let l(w) = -6*w**3 + 50*w**2 + 188*w + 48. Let b(j) = -13*j**3 + 106*j**2 + 375*j + 92. Let c(z) = 3*b(z) - 7*l(z). Factor c(o).
(o - 15)*(o + 4)*(3*o + 1)
Let f(t) be the second derivative of t**5/30 + 77*t**4/6 + 5929*t**3/3 + 75*t**2/2 - 258*t. Let c(r) be the first derivative of f(r). Factor c(w).
2*(w + 77)**2
Let s(g) be the second derivative of 199*g**4 + 1190*g**3/3 - 4*g**2 - 3330*g. Factor s(x).
4*(x + 1)*(597*x - 2)
Let j = -4050 + 4055. Let w(y) be the third derivative of -14*y**2 + 1/36*y**4 + 0 + 0*y + 1/270*y**j + 2/27*y**3. Suppose w(a) = 0. What is a?
-2, -1
Let v(r) be the second derivative of r**6/50 + 30*r**5 + 1497*r**4/10 + 1496*r**3/5 + 2991*r**2/10 + r + 1538. Suppose v(j) = 0. Calculate j.
-997, -1
What is l in -2*l**2 - 81*l + 14*l**2 + 96 - 2*l**2 + 135*l - 7*l**2 = 0?
-16, -2
Let i be ((-550)/(-25) + -20)*7/42. Factor -20/3 + 19/3*f + i*f**2.
(f - 1)*(f + 20)/3
Let d be (-1 - -29) + 6/(-1) + 8. Let -40*p**2 + 183*p**4 - 7*p**5 + 7*p + 28*p - 143*p**4 - d*p**3 + 2*p**5 = 0. Calculate p.
-1, 0, 1, 7
Suppose -2*h - 345 - 629 = 0. Let x = 489 + h. Factor -14/11*s**x - 10/11*s**4 + 0 + 2/11*s**5 + 18/11*s**3 + 4/11*s.
2*s*(s - 2)*(s - 1)**3/11
Let n(i) be the third derivative of i**7/2520 - i**6/180 + i**5/40 - 9*i**4/8 + 62*i**2. Let v(z) be the second derivative of n(z). Factor v(u).
(u - 3)*(u - 1)
Suppose 0 = -4*z - 4*l - 5180, -7*z + 5*l + 1315 = -8*z. Let r = z - -1292. Factor -6/5*f**3 - f**4 + 2/5*f**r - 1/5*f**5 + 7/5*f + 3/5.
-(f - 1)*(f + 1)**3*(f + 3)/5
Let t(r) = -r**3 + 38*r**2 - 68*r + 90. Let x be t(36). Suppose 201*h + 99 = x*h. Factor -1/4*n**4 + 1/8*n**h + 0*n + 1/8*n**2 + 0.
-n**2*(n - 1)*(2*n + 1)/8
Factor 45*i**2 - 10*i**4 - 3*i**4 - 24*i**3 - 22*i - 6*i**4 + 30*i**4 - 10*i**4.
i*(i - 22)*(i - 1)**2
Suppose 6*l + 18 = 7*l. Let a be 20/9 + -2 + 32/l. Factor -o - o + 0*o + o**a - 2*o**2.
-o*(o + 2)
Suppose 0 = -3*u + 10*q + 16, 3*u + 24*q = 28*q + 10. Find c such that -11/2*c - 1/2*c**3 - 6*c**u + 0 = 0.
-11, -1, 0
Let z = -1/429 + 1294/3003. Suppose 24*d = 3*d - 22*d + 14*d. Let 0*o - z*o**3 + 0 + d*o**2 = 0. What is o?
0
Let n(p) be the second derivative of -p**6/30 - 37*p**5/10 + 13*p**4 + 148*p**3/3 - 304*p**2 + 3*p + 349. Let n(v) = 0. Calculate v.
-76, -2, 2
Let h = 2/699 + 310/233. Let y(k) be the first derivative of h*k**3 - 12*k - 13 - 4*k**2. Factor y(f).
4*(f - 3)*(f + 1)
Suppose 0 = f + 61*x - 62*x - 16, 5*f - 3*x - 56 = 0. Solve 0*q + 2/7*q**3 + 0 - 4/7*q**2 + 2/7*q**f = 0 for q.
-2, 0, 1
Suppose 502 = 90*o + 36 - 74. Let v(x) be the third derivative of 0*x**5 - 6*x**2 + 0*x**4 - 1/42*x**7 + 0*x**3 + 1/12*x**o + 0*x + 0. Factor v(f).
-5*f**3*(f - 2)
Suppose 53*y + 12*y - 222 = 38. Let v(w) be the third derivative of 0 + 0*w + 2/3*w**y - 1/15*w**5 - 8/3*w**3 - 17*w**2. Factor v(u).
-4*(u - 2)**2
Let b = 1841/2193 - 370/731. Factor -8/3*w + 3 - b*w**2.
-(w - 1)*(w + 9)/3
Let r = -58 - -58. Suppose 13*d - 169 - 52 = r. Factor -48 + 35*v + 4*v**2 - 83*v**3 + 79*v**3 - d*v + 14*v.
-4*(v - 2)**2*(v + 3)
Suppose -3 = -6*l - 3*c, 3*l = 7*l - 4*c - 44. Let z(n) be the second derivative of -2/15*n**6 - 11/3*n**l - 25*n - 6/5*n**5 - 4*n**3 + 0*n**2 + 0. Factor z(o).
-4*o*(o + 1)*(o + 2)*(o + 3)
Let p(g) be the second derivative of -g**7/12600 - g**6/3600 + 5*g**4/12 + 5*g**3/3 + g + 15. Let b(i) be the third derivative of p(i). Factor b(h).
-h*(h + 1)/5
Let z be -22 + ((-450)/(-20) - 0). Determine n so that 2*n**2 + 5/2*n + z*n**3 + 1 = 0.
-2, -1
Let g(s) = -6*s**2 + 946*s - 940. Let c(l) = 4*l**2 - 630*l + 626. Let m(t) = -8*c(t) - 5*g(t). Let m(j) = 0. What is j?
1, 154
Let n(h) = -12*h**3 + 48*h**2 + 10*h. Let f(m) = -34*m**3 + 142*m**2 + 28*m. Let i(k) = -5*f(k) + 14*n(k). What is r in i(r) = 0?
0, 19
Let x(f) be the second derivative of -8*f**2 - 65 - 2*f + 1/9*f**4 - 2/9*f**3. Determine v, given that x(v) = 0.
-3, 4
Factor -9/4*i**2 + 3*i + 3/8*i**4 - 9/8*i**3 + 0.
3*i*(i - 4)*(i - 1)*(i + 2)/8
Let h be 3 - 2*3/(-15)*-15. Let q be (0 - h) + (-224)/(-84). Factor 2/3 + 28/3*y**2 - 13/3*y**3 - q*y.
-(y - 1)**2*(13*y - 2)/3
Let z(q) be the first derivative of 28*q**3/3 + 942*q**2 + 536*q + 1133. Determine i, given that z(i) = 0.
-67, -2/7
Let n(x) = -212*x**3 + 264*x**2 + 592*x + 384. Let p(d) = -20*d**3 + 24*d**2 + 54*d + 35. Let q(k) = -3*n(k) + 32*p(k). Factor q(s).
-4*(s + 2)**3
Let l(k) = -7175*k + 121977. Let m be l(1