- 3063/2*g**2 = 0.
-2, 1, 33
Let f be (4 - 4) + 5 - (-3 - -6). Suppose 3*m - f = x + 1, 0 = -3*m - 4*x - 12. Find g such that m*g + 3/8*g**4 + 3/2 + 0*g**3 - 15/8*g**2 = 0.
-2, -1, 1, 2
Let t(d) = 56*d**3 + d**2 + d + 1. Let n be t(-1). Let j = 57 + n. Factor -3*g**3 + 3*g**3 + 15*g**j + 5*g**3.
5*g**2*(g + 3)
Let u be (3635 + -3619)/(-79*(-2)/(-160) - -1). Find g such that -4/5*g**2 - 64*g - u = 0.
-40
Determine c, given that 2/9*c + 62/3*c**2 + 0 = 0.
-1/93, 0
Let a be (128/(-80))/((-4)/45). Let u(v) be the second derivative of 3/5*v**5 + 22*v**3 - 19/3*v**4 + 0 - a*v**2 + 14*v. Suppose u(h) = 0. Calculate h.
1/3, 3
What is w in 14*w + 0 + 15/2*w**2 + 1/4*w**3 = 0?
-28, -2, 0
Suppose 15 = -a + 29. Suppose -a = -2*p + p. Factor -p*u**2 + 44*u**2 - 12*u**2 - 2*u - 16*u**2.
2*u*(u - 1)
Let x(v) = v**2 + v + 1. Let i = -249 - -229. Let c(m) = 2*m**3 - 40*m**2 + 140*m - 260. Let h(k) = i*x(k) - 2*c(k). Find y, given that h(y) = 0.
5
Let o be (-84)/(-6) - (176/10 - 12/2). What is s in o*s**2 - 64/5*s - 28/5*s**4 + 64/5*s**3 + 16/5 = 0?
-1, 2/7, 1, 2
Suppose -5*v - 3*w + 33 = 0, 9862*v - 9866*v - 2*w + 24 = 0. Factor -2/9*f**4 - 10/9*f**v + 0 - 2/3*f - 14/9*f**2.
-2*f*(f + 1)**2*(f + 3)/9
Let i = 229/30 - 13/30. Factor -1/5*l**2 - 12/5*l - i.
-(l + 6)**2/5
Let c(l) be the third derivative of l**8/6720 - l**7/2520 - 7*l**4/3 + 57*l**2. Let f(w) be the second derivative of c(w). Factor f(h).
h**2*(h - 1)
Factor -22225294 + 3*n**2 - 109*n + 22222606 + 421*n.
3*(n - 8)*(n + 112)
Suppose -40*d**3 + 60 - 20*d**3 - 3*d**5 - 9*d**4 + 8*d**5 - 2*d**4 + d**4 + 190*d**2 - 185*d = 0. Calculate d.
-4, 1, 3
Suppose 19/3*f + 28 - 1/6*f**2 = 0. Calculate f.
-4, 42
Let p(b) be the third derivative of 4/315*b**7 + 11/18*b**6 + 323/30*b**5 + 13 - 6859/18*b**3 - 2*b**2 + 0*b + 4693/72*b**4. Factor p(g).
(g - 1)*(2*g + 19)**3/3
Let t(h) be the first derivative of 20/19*h**2 + 48/19*h - 4/95*h**5 - 44/57*h**3 - 21/38*h**4 + 1/57*h**6 - 44. Find m, given that t(m) = 0.
-2, -1, 1, 6
Let p(s) = s**2 - 3*s - 8. Let r be p(-2). Solve -4*o**r - 8*o**2 - 148*o**3 - 20*o**2 + 16*o - 136*o**4 - 36*o**5 = 0.
-2, -1, 0, 2/9
Let c be 15*(-2)/8*(-26)/130. Suppose 5*z - 6*r + 4*r = 12, r = 3*z - 7. Factor 3/4 + 3/4*x**3 - c*x - 3/4*x**z.
3*(x - 1)**2*(x + 1)/4
Let 2751858 + 233*c**2 - 2733*c + 1431*c - 231*c**2 - 3390*c = 0. What is c?
1173
Suppose 119*w = 356*w - 34 - 914. Let o(v) be the second derivative of 0 - 8/15*v**3 + 7/5*v**2 + 9*v + 1/30*v**w. Factor o(h).
2*(h - 7)*(h - 1)/5
Suppose 0 = 3*f + 31 - 97. Suppose 0 = -3*o - b + 7 + 1, -10 = -2*o - 3*b. Determine c so that -255*c - 150 + f + 58 - 35*c**o = 0.
-7, -2/7
Let u(i) = -22*i + 22. Let n be u(5). Let z = n + 123. Factor -7*r**3 - 3*r**3 + 10 - z*r - 21*r**2 + 56*r**2.
-5*(r - 2)*(r - 1)*(2*r - 1)
Factor -2/9*i**2 - 880/9 - 34/3*i.
-2*(i + 11)*(i + 40)/9
Let m(c) be the second derivative of c**7/504 + 7*c**6/144 + c**5/2 - c**4/12 - c**2/2 + c + 16. Let z(r) be the third derivative of m(r). Solve z(w) = 0 for w.
-4, -3
Suppose -11*x = -9*x - 5*a - 33, 7 = 3*x + a. Let m(b) be the first derivative of 10 + b**3 + 3/4*b**x + 0*b + 0*b**2. Factor m(j).
3*j**2*(j + 1)
Let t(o) be the second derivative of 1/60*o**6 - 13/4*o**2 + 1/2*o**4 + 7/20*o**5 + o - 28 - 7/6*o**3. Factor t(f).
(f - 1)*(f + 1)**2*(f + 13)/2
Let b(c) be the third derivative of -134*c**2 - 5/96*c**4 + 0*c**3 + 0 + 13/480*c**6 + 1/280*c**7 - 11/240*c**5 + 0*c. Factor b(y).
y*(y - 1)*(y + 5)*(3*y + 1)/4
Let x(v) be the third derivative of 13*v**4/12 + 53*v**3/3 - 128*v**2. Let z be x(-4). Factor 0*w - 2/7*w**z - 6/7*w**4 - 6/7*w**3 - 2/7*w**5 + 0.
-2*w**2*(w + 1)**3/7
Suppose -22*h = -18 - 70. Solve -35 - 14*r + 4*r**2 - 1 + 2*r**2 - h*r**2 = 0 for r.
-2, 9
Let k(m) be the first derivative of -m**4/2 + 82*m**3/3 - 439*m**2 + 798*m - 6032. Factor k(r).
-2*(r - 21)*(r - 19)*(r - 1)
Let v(q) be the first derivative of q**4/8 - 16*q**3 + 2205*q**2/4 + 2401*q - 3956. Factor v(t).
(t - 49)**2*(t + 2)/2
Factor 863506*w - 7*w**3 - 303824*w + 9*w**3 + 2116*w**2.
2*w*(w + 529)**2
Let o(h) be the first derivative of h**8/560 - h**7/140 - h**6/120 + h**5/20 - 155*h**3/3 - 2*h - 115. Let b(s) be the third derivative of o(s). Factor b(q).
3*q*(q - 2)*(q - 1)*(q + 1)
Let m = 140473/351495 + 25/70299. Factor m*a**2 - 388/5*a + 18818/5.
2*(a - 97)**2/5
Suppose -12 + 54 = 7*k. Suppose -k*h = -4*h - 6. Factor 6*i - 4*i**2 + i**2 - h + 0*i**2.
-3*(i - 1)**2
Let n = 18 - -37. Let a = 58 - n. Determine h, given that -a - 3*h - 3*h - 2*h**2 - h**2 + 0*h**2 = 0.
-1
Let b(r) be the third derivative of r**8/448 + 3*r**7/140 - r**6/10 + r**5/40 + 15*r**4/32 - r**3 - 1139*r**2. Solve b(g) = 0.
-8, -1, 1
Find m, given that -33/2*m**3 - 19*m + m**4 + 0 - 93/2*m**2 = 0.
-2, -1/2, 0, 19
Let b(y) = 2*y**2 + y + 3. Let m(i) = 16*i**2 - 98*i + 630. Let u(r) = 6*b(r) - m(r). Let u(w) = 0. What is w?
9, 17
Let c be 5*(-4)/(-150) + (110/(-75) - -3). Factor c*z**2 - 10/3*z - 40.
5*(z - 6)*(z + 4)/3
Factor -8/7*w**2 + 136/7 - 2/7*w.
-2*(w - 4)*(4*w + 17)/7
Let f(s) be the third derivative of s**6/600 + 767*s**5/300 + 382*s**4/15 + 1526*s**3/15 - 4412*s**2. Factor f(n).
(n + 2)**2*(n + 763)/5
Determine q so that -2/21*q**2 + 226/7*q + 1364/21 = 0.
-2, 341
Let a(x) = -8*x**3 + 12*x**2 - 30*x + 8. Let q(d) = -4*d**3 + 6*d**2 - 17*d + 5. Let s(t) = -4*a(t) + 7*q(t). Let g be s(1). Solve -16/5*r + 0 + 2/5*r**g = 0.
0, 8
Let g(n) = -54*n + 219. Let x be g(4). Let d(k) be the first derivative of 4/5*k**5 + 0*k + 8/3*k**3 + 0*k**2 - 20 + x*k**4. Find o, given that d(o) = 0.
-2, -1, 0
Let r(l) be the first derivative of 147*l**5 - 595*l**4/4 - 1405*l**3/3 - 645*l**2/2 - 90*l + 1796. Suppose r(g) = 0. What is g?
-3/7, -1/3, 2
Let x(i) be the third derivative of i**7/420 + i**6/40 + i**5/15 - 545*i**2 - 2. Suppose x(p) = 0. Calculate p.
-4, -2, 0
Let r(y) = -y**3 + 2*y**2 + 15*y + 4. Let n be r(5). Let w(o) = 48*o**2 + 44*o + 4. Let h(f) = f**3 - 1. Let k(s) = n*h(s) + w(s). Let k(d) = 0. What is d?
-11, -1, 0
Let l(r) = -2*r - 2. Let y = 20 - 25. Let n be l(y). Factor -x**3 - 3*x**3 + 6*x**2 + 0 - n + 2*x**3.
-2*(x - 2)**2*(x + 1)
Let g(k) = 2*k - 24. Let i be g(22). What is a in 0 - a**2 - 15*a**3 + 40*a + i + 17*a**2 - 11*a**2 = 0?
-1, -2/3, 2
Suppose -2*h + 7*h - 5*c = 15, 21 = 5*h - 2*c. Suppose 3*a + 19 = a - 5*u, -h*a - 4*u - 5 = 0. What is v in -a*v**2 + 2/3 + 13/3*v**3 - 1/3*v - 5/3*v**4 = 0?
-2/5, 1
Suppose 244 = -7*u + 286. Let v be (-1)/((34/u - 5) + -1). What is l in -v*l**4 - 6*l**3 - 6*l**2 - 3/5 - 3*l - 3/5*l**5 = 0?
-1
Suppose 3 = 4*b - 5. Suppose -c**b - 2704 + 208*c - c**2 + 5*c**2 - 7*c**2 = 0. Calculate c.
26
Suppose 61*i + 162 = 79*i. Suppose 6 = -h - 2*d, 4*d - 7*d = 3*h + i. Factor h + 4/3*b**4 + 0*b - 2/3*b**5 + 0*b**2 - 2/3*b**3.
-2*b**3*(b - 1)**2/3
Let s(b) be the third derivative of -b**6/900 + 17*b**5/150 + 7*b**4/12 - 4655*b**3/9 - 84*b**2 + 4*b + 1. Factor s(o).
-2*(o - 35)**2*(o + 19)/15
Suppose 0 + 2/3*z**3 + 108*z + 166/3*z**2 = 0. What is z?
-81, -2, 0
Let n = -1007251 + 4029041/4. Find r, given that 39/4*r**2 - 75/4*r + n - 1/4*r**3 = 0.
1, 37
Let t = -732 + 734. Let n be ((-12)/90)/(t/(-3)). Find g, given that 0 - n*g**2 + 1/5*g**3 + 0*g = 0.
0, 1
Suppose -2038 = 48*b + 15770. Let c = -369 - b. What is q in -2/7*q**4 - 8/7 - c*q**3 - 26/7*q - 30/7*q**2 = 0?
-4, -1
Factor 2972*t**2 + 37538/13 + 2/13*t**4 - 75624/13*t - 552/13*t**3.
2*(t - 137)**2*(t - 1)**2/13
Let q be (-18)/45*((-623)/504*6 - -7). Factor 0 - q*v**5 + v**3 - 5/6*v**4 + 0*v + 0*v**2.
-v**3*(v - 1)*(v + 6)/6
Let b(m) = -2*m**2 + 9*m + 6. Let p = 111 + -106. Let z(s) = 3*s**2 - 17*s - 13. Let j(g) = p*b(g) + 3*z(g). Let j(a) = 0. What is a?
-3
Let o(c) be the first derivative of 37 - 2*c**2 - 3*c - 4/9*c**3. Determine x, given that o(x) = 0.
-3/2
Let j(l) be the first derivative of 14/3*l + 46/27*l**3 + 1/18*l**4 - 87 + 43/9*l**2. Find k, given that j(k) = 0.
-21, -1
Let b(j) = j**2 + 30*j + 174. Let k be b(-24). Determine u so that -105*u**3 - k*u**4 - 20*u**2 - 85*u**4 + 344*u**3 + u**3 = 0.
0, 2/23, 2
Let j be (-38)/(1330/(-1845)) + (-6)/6 + -14. Determine u, given that j*u + 3/7*u**2 + 5808/7 = 0.
-44
Let v(h) be the third derivative of -10/9*h**5 + 0*h**3 - 2*h**4 - 1/105*h**7 + 129*h**2 - 2 - 7/30