3783*q + 1094*q = 0. Calculate q.
1447
Let s(z) = 2*z + 28. Let l be s(31). Let d = -87 + l. Factor -3/2*p**2 + d + 3/2*p.
-3*(p - 2)*(p + 1)/2
Let o be ((-3)/(-42))/(3/24). Let z = 15607/27055 + -21/3865. Find a, given that o*a - z*a**3 + 8/7 - 8/7*a**2 = 0.
-2, -1, 1
Find h, given that 186 + 24*h**3 - 753*h**2 - 13*h**3 + 8*h + 196*h + h**3 + 351*h = 0.
-1/4, 1, 62
Let g(r) be the first derivative of -3/2*r**2 + 0*r + 0*r**5 + 1/90*r**6 + 4/9*r**3 + 7 - 1/6*r**4. Let q(f) be the second derivative of g(f). Solve q(o) = 0.
-2, 1
Let r(g) be the second derivative of -g**4/6 + 13*g**3 - 74*g**2 - 2499*g - 1. Find m, given that r(m) = 0.
2, 37
Let w = 90 + -144. Let s = w + 57. Factor 6*t + 2*t**3 - 6*t**2 - 3*t + t**3 + 0*t**s.
3*t*(t - 1)**2
Suppose 0 = 3*u + 2*u. Factor 217*v**3 + v**5 - 215*v**3 + 4*v**4 - 4*v**2 - 3*v + u*v**5.
v*(v - 1)*(v + 1)**2*(v + 3)
Let n(r) = -23*r - 53. Let k be n(-7). Suppose 13 = x + 2*h, -3*h = 4*x - 2*h - 38. Suppose -x*j + 0 + k*j**2 + 3 + 12*j + 33*j = 0. What is j?
-1/6
Let h = 75 + -73. Let x be h - 512/(-288)*6/(-8). Factor 0 - 2/15*u**5 - 4/15*u - 14/15*u**2 - x*u**4 - 6/5*u**3.
-2*u*(u + 1)**3*(u + 2)/15
Let h(n) be the third derivative of -121*n**7/105 + 209*n**6/60 + 7*n**5/2 - 75*n**4/4 + 3918*n**2. Factor h(w).
-2*w*(w + 1)*(11*w - 15)**2
Let r = -581675 + 5241901/9. Let o = r - 758. What is s in -20/9 - 8/3*s - o*s**2 = 0?
-5, -1
Let o = 243 + -570. Let l = -325 - o. Determine n so that -10/3*n**3 - 2/3*n**4 - 14/3*n**2 - l*n + 0 = 0.
-3, -1, 0
Let q = -60 + 62. Suppose -q*o - 3*o + 4*c = -18, 9 = 2*o - c. Factor -5 + 10*v**3 + v**3 - 5*v - o*v**3 + 5*v**2 + 0*v**3.
5*(v - 1)*(v + 1)**2
Let r(p) be the first derivative of 36/11*p**2 + 188 + 112/11*p - 2/55*p**5 - 20/33*p**3 - 9/22*p**4. Determine k so that r(k) = 0.
-7, -2, 2
Suppose -3*f - 48 = -66. Let t = f + -2. Factor 2*b**t + 4*b**2 + 0*b**3 - 6*b**3 + 10*b**3 - b**4.
b**2*(b + 2)**2
Let p(q) be the first derivative of 2*q**3/9 - 1296*q**2 + 2519424*q - 1862. Determine c, given that p(c) = 0.
1944
Let y(a) be the second derivative of -a**5/40 - 13*a**4/8 - 8*a**3/3 + 57*a**2 + 22*a - 142. Factor y(k).
-(k - 2)*(k + 3)*(k + 38)/2
Let o(g) be the first derivative of -g**5/5 - 201*g**4/4 - 9997*g**3/3 + 10605*g**2/2 + 20402*g + 95. Factor o(k).
-(k - 2)*(k + 1)*(k + 101)**2
Let d(b) = 23*b**2 + 34*b - 23. Let t be d(-7). Factor -7*l**5 + 54*l**2 + 2*l**5 + 45*l**4 + 26*l**2 - t*l**3 + 746*l**3.
-5*l**2*(l - 4)**2*(l - 1)
Let b be (28 - -2)*(-24)/(-816)*(-40)/(-25). Factor b*q - 2/17*q**2 - 72/17.
-2*(q - 6)**2/17
Let d = 7700 + -7700. Let y(i) be the first derivative of d*i - 4/7*i**2 + 32/21*i**3 - 14 - 1/2*i**4. Solve y(q) = 0 for q.
0, 2/7, 2
Let s(x) be the second derivative of -x**6/24 - 4*x**5/3 + 77*x**2 + 49*x. Let o(q) be the first derivative of s(q). Factor o(u).
-5*u**2*(u + 16)
Let v(d) be the second derivative of d**6/105 - 24*d**5/35 + 69*d**4/7 + 1296*d**3/7 + 6561*d**2/7 + 1981*d. Factor v(o).
2*(o - 27)**2*(o + 3)**2/7
Let u(o) be the second derivative of -o**5/5 - 71*o**4/3 + 2*o**3/3 + 142*o**2 - 749*o. Let u(s) = 0. Calculate s.
-71, -1, 1
Let 1/2*a**2 + 182*a + 16562 = 0. What is a?
-182
Let h(f) = -9*f**3 + 61*f**2 - 578*f + 14. Let r be -2*3/(-9)*2*3. Let o(l) = -5*l**3 + 30*l**2 - 289*l + 8. Let z(x) = r*h(x) - 7*o(x). Factor z(w).
-w*(w - 17)**2
Suppose 1219 - 7923 = 8*p. Let m = p + 841. Factor -1/4*o**m - 1/4*o**2 + 1/4 + 1/4*o.
-(o - 1)*(o + 1)**2/4
Suppose 0 = -322*a + 310*a - 7812. Let t = -7077/11 - a. Factor 6/11*f**2 + t*f + 294/11.
6*(f + 7)**2/11
Let a = -8342 - -58293/7. Let k = -275/21 - a. Find o, given that 0 - 8/9*o - 26/9*o**3 - 8/3*o**2 - 2/9*o**5 - k*o**4 = 0.
-2, -1, 0
Suppose 13*z + 20 = 8*z. Let j be 14/z*(-40)/210. Factor -j*w - 1/3*w**2 + 1.
-(w - 1)*(w + 3)/3
Factor 50*z - 1/4*z**3 + 0 + 49/2*z**2.
-z*(z - 100)*(z + 2)/4
Let q be 2 - (321 - 1 - 6). Let k be q/(-1105) - 6/(-51). Factor 0*o**2 + 0 - k*o**3 + 0*o.
-2*o**3/5
Let j(n) be the third derivative of -3*n**8/392 - 44*n**7/245 + 26*n**6/105 + 461*n**5/105 + 187*n**4/28 + 30*n**3/7 + 524*n**2. Determine w so that j(w) = 0.
-15, -2, -1/3, 3
Let d(q) be the second derivative of q**4/120 - 301*q**3/60 + 15*q**2 - 1063*q. Factor d(g).
(g - 300)*(g - 1)/10
Let f(i) be the third derivative of i**5/15 - i**4/6 - 112*i**3/3 + 7282*i**2. Solve f(g) = 0 for g.
-7, 8
Let b = -118 + 120. Let k(j) = j**b + 8*j - 7*j + 4 - 5. Let o(i) = i**3 + 2*i**2 - 13*i + 8. Let f(g) = -2*k(g) - o(g). Determine d, given that f(d) = 0.
-6, 1
Let c be ((-9)/(-4))/3 - -1. Let t = -133173/2 - -66587. Find n such that -5/4*n + t - c*n**2 = 0.
-1, 2/7
Let y(u) = -2*u**3 - 16*u**2 - 440*u - 4119. Let h be y(-9). Let 0 - 1/3*f**h + 0*f - 11/3*f**2 = 0. Calculate f.
-11, 0
Let r be 4 + (-6 - 2 - -1). Let a be (-2 - (-128)/60)*-5*r. Factor 1/3*t**a + 0 + 1/3*t.
t*(t + 1)/3
Factor 0*z - 2/5*z**4 - 22/5*z**3 + 0 + 204/5*z**2.
-2*z**2*(z - 6)*(z + 17)/5
Let d = -8667 - -8695. Let u(n) be the third derivative of 0 - 8/21*n**3 - d*n**2 - 2/21*n**4 + 0*n - 1/105*n**5. Suppose u(h) = 0. What is h?
-2
Let c(v) be the first derivative of 3*v**4/10 + 10*v**3/3 + 36*v**2/5 - 72*v/5 - 1290. Determine r so that c(r) = 0.
-6, -3, 2/3
Let b(l) = 58*l**2 + 128*l - 168. Let v(h) = h**3 + 291*h**2 + 641*h - 834. Let p(j) = 11*b(j) - 2*v(j). Factor p(c).
-2*(c - 30)*(c - 1)*(c + 3)
Let t be (-59)/(-5) - (-7)/35. Suppose t = 4*m - 0*m. Find g, given that 4*g**3 + 0*g**3 - 9*g**m = 0.
0
Let -40/9 - 2/9*i**2 - 14/3*i = 0. What is i?
-20, -1
Let k(y) = -2517*y - 153535. Let x be k(-61). Determine z so that 0 - z**4 - 1/2*z**3 + 9/4*z + 3*z**x + 1/4*z**5 = 0.
-1, 0, 3
Let j(r) be the first derivative of -7*r**4/30 + 16*r**3/15 - 4*r**2/5 - 34*r + 7. Let q(a) be the first derivative of j(a). Factor q(f).
-2*(f - 2)*(7*f - 2)/5
Let y = -2657 - -53141/20. Let f(b) be the second derivative of -7*b + 0 + 0*b**3 + y*b**5 + 1/30*b**6 + 0*b**2 + 0*b**4. Find z such that f(z) = 0.
-1, 0
Let p(f) be the first derivative of -525*f**4/2 - 685*f**3/3 + 470*f**2 + 300*f - 2844. Let p(b) = 0. Calculate b.
-6/5, -2/7, 5/6
Let t(n) be the first derivative of n**4/38 + 50*n**3/57 + 2577. Determine w so that t(w) = 0.
-25, 0
Let x(f) = -f**2 + 1. Let h(i) be the third derivative of 0*i + 5/24*i**4 + 1/6*i**5 + 0 - 35/6*i**3 - 38*i**2. Let o(r) = -h(r) - 5*x(r). Solve o(w) = 0.
-3, 2
Factor 1/3*x**2 - 370*x + 0.
x*(x - 1110)/3
Let q = 719 - 717. Factor 18*o**q - 383*o + 332 + 59*o - 1220 + 13*o**3 - 192 - o**4 + 2*o**4.
(o - 5)*(o + 6)**3
Factor -4*b**4 - 653*b + 392*b**2 + 1570 + 148*b**3 + 2174 - 2563*b.
-4*(b - 39)*(b - 2)**2*(b + 6)
Let j(q) be the third derivative of -q**5/15 + 239*q**4/6 + 2072*q**2. Suppose j(f) = 0. Calculate f.
0, 239
Suppose 5*p + 169 = n, -5*n + 8*n = -p + 571. Let l = n - 25. Factor z**2 - z**2 - 167*z**5 + l*z**5 + 3*z**4.
-3*z**4*(z - 1)
Let i(f) = -f**3 - f**2. Let x(z) = 10*z**3 + 198*z**2 + 1044*z + 1512. Let h(s) = 6*i(s) + x(s). Factor h(d).
4*(d + 3)**2*(d + 42)
Let a(l) be the second derivative of l**4/4 + 176*l**3 + 46464*l**2 + 19*l + 5. Let a(u) = 0. What is u?
-176
Suppose 27*a + 2*d + 4 = 22*a, 0 = -3*a + 12*d + 24. Solve a*w + 2/5*w**3 + 0 + 8/5*w**2 = 0.
-4, 0
Let q(r) be the first derivative of -144 - 58/5*r**3 + 0*r - 3/5*r**5 + 24/5*r**2 + 141/20*r**4. Find p such that q(p) = 0.
0, 2/5, 1, 8
Let g(d) be the second derivative of -d**5/30 + 4*d**4/3 - 5*d**3 - 147*d**2/2 - 153*d. Let f(h) be the first derivative of g(h). Factor f(j).
-2*(j - 15)*(j - 1)
Let z(v) be the second derivative of 0 + 0*v**2 + 9/28*v**5 - 2/7*v**3 + 37*v + v**4. Factor z(t).
3*t*(t + 2)*(15*t - 2)/7
Let f be (-360)/(-1008)*(-2 + 16). Let u(d) be the third derivative of -1/100*d**f + 1/5*d**4 + 0 + 5*d**2 + 0*d - 8/5*d**3. Factor u(q).
-3*(q - 4)**2/5
Let s(h) be the first derivative of h**5/60 - h**4/8 + 16*h**2 + 3*h - 100. Let u(y) be the second derivative of s(y). Factor u(a).
a*(a - 3)
Let i be 40968/1401*(-416)/(-2340). Let s = 2/1401 + i. Factor -96/5*c - 72/5 - s*c**2 - 2/5*c**3.
-2*(c + 1)*(c + 6)**2/5
Let k(u) be the second derivative of 60*u**2 - 70/3*u**3 + 3*u**6 - 3*u - 65/2*u**4 + 25/42*u**7 - 13/4*u**5 - 2. Determine v so that k(v) = 0.
-3, -2, -1, 2/5, 2
Let d be 2/(-11 + (-385)/(-33