*t**c - 16*t**2 - 6 + 16*t. Solve m(f) = 0 for f.
-2, 2/5
Let x(h) be the first derivative of -2*h**5/5 - 37*h**4/14 - 118*h**3/21 - 5*h**2 - 12*h/7 - 548. Find g, given that x(g) = 0.
-3, -1, -2/7
Let u(a) = -22*a + 72. Let c(s) = 383 - 11*s - 239 - 32*s - s**2. Let h(v) = -2*c(v) + 5*u(v). Factor h(j).
2*(j - 6)**2
Let g(f) be the third derivative of -f**5/150 + 7*f**4/20 + 22*f**3/15 + 62*f**2. What is l in g(l) = 0?
-1, 22
Suppose 5*o + 50 = 5*a, 3*a - 3*o = -2*a + 40. Suppose -23 = -5*m - 4*j, -a*j = -2*m - m - 1. Factor 2*u + 2*u - 3*u**3 + 6*u**2 + 0*u + 5*u**m.
2*u*(u + 1)*(u + 2)
Let u(m) be the second derivative of -9*m**5/20 + 2*m**4 - 3*m**3/2 - 3*m**2 - m - 8. Factor u(k).
-3*(k - 2)*(k - 1)*(3*k + 1)
Suppose 0*f + 2*f**2 - 8/3 - 2/3*f**3 = 0. What is f?
-1, 2
Let w(s) = -3*s**2 - 4*s. Let c be 10/3 - ((-4)/6)/1. Let k(x) = 2*x**2 + 4*x - 1. Let a(z) = c*k(z) + 3*w(z). Factor a(h).
-(h - 2)**2
Let m = -30 - -34. Determine r so that -12*r**4 - 3*r**2 - 15*r**4 - 16*r**m - 2*r**3 + 44*r**4 = 0.
-1, 0, 3
Let t(a) = -16*a**2 + 1343*a + 84. Let s be t(84). Determine h so that 4/5*h**3 - 2/5*h**4 - 4/5*h + 2/5 + s*h**2 = 0.
-1, 1
Suppose t + g + 0 - 7 = 0, 4*t + 2*g - 18 = 0. Determine w, given that -731*w + 4*w**t + 8*w**3 + 731*w + 4*w**4 = 0.
-1, 0
Factor 15*y**2 + 5*y**2 - 2*y**3 + 12*y - 2*y**3 + 8*y**3 - 4*y**4.
-4*y*(y - 3)*(y + 1)**2
Suppose 27 + 3 = 3*c. What is x in c*x**2 + 12*x**4 + 4*x**5 + 13*x**2 + 12*x**3 - 19*x**2 = 0?
-1, 0
Suppose 3*s = -3*b + 3, 2*b + 0*b = 2*s - 2. Let f(x) = -x**3 + x**2 + 1. Let c(n) = -42*n**3 - 78*n**2 - 35*n - 8. Let m(z) = s*c(z) + 3*f(z). Factor m(q).
-5*(q + 1)*(3*q + 1)**2
Let v(f) = -f**2 + 14*f - 22. Let t be v(2). Let h(d) be the first derivative of -t - d + 3/4*d**2 - 1/6*d**3. Factor h(q).
-(q - 2)*(q - 1)/2
Suppose 234*t - 235*t + 4 = 0. Let p(y) be the first derivative of 2 + 8/3*y + 26/9*y**3 + 2/15*y**5 + t*y**2 + y**4. Factor p(h).
2*(h + 1)**2*(h + 2)**2/3
Let k(j) be the second derivative of 3/20*j**5 - 1/2*j**3 + 14*j + 0 + 1/2*j**4 - 3*j**2. Find d such that k(d) = 0.
-2, -1, 1
Suppose 2*z**3 + 100*z**2 - 10*z**2 + 4*z**3 - z**3 + 206*z + 199*z = 0. Calculate z.
-9, 0
Let l = -2089/34 - -1053/17. Factor 1/2*g**2 + 0*g - 1/2*g**3 + l*g**5 - 1/2*g**4 + 0.
g**2*(g - 1)**2*(g + 1)/2
Let f(l) be the second derivative of -l**7/21 - l**6/15 + l**5/2 - l**4/2 + 2*l - 4. Solve f(v) = 0 for v.
-3, 0, 1
Suppose -5*x + 196*x**3 + 11*x**2 - 199*x**3 + 1 - 4 = 0. Calculate x.
-1/3, 1, 3
Let s(o) be the second derivative of -o**6/165 - 3*o**5/55 - 2*o**4/11 - 10*o**3/33 - 3*o**2/11 - 106*o. Factor s(r).
-2*(r + 1)**3*(r + 3)/11
Let y(l) be the third derivative of l**8/336 - l**7/70 + l**6/60 + l**5/30 - l**4/8 + l**3/6 - 61*l**2 + 2. What is j in y(j) = 0?
-1, 1
Solve -1336 - 273*u**3 + 387*u + 60*u**4 - 1904 - 1390*u**2 - 4527*u - 5*u**5 + 348*u**3 = 0.
-2, 9
Let b(s) be the third derivative of s**6/60 + 2*s**5/15 - 5*s**4/12 + 9*s**2 + 4. Suppose b(r) = 0. Calculate r.
-5, 0, 1
Suppose 4 = -3*r - 4*f, 2*r + f + 1 = 5. Let v be (6/4)/(15/40). Factor -z**3 + z**r + z**v - z**3.
2*z**3*(z - 1)
Let a(t) be the third derivative of -t**8/2016 + t**7/630 + t**6/240 - t**5/90 - t**4/36 + 107*t**2. What is j in a(j) = 0?
-1, 0, 2
Let h(v) be the first derivative of -3/8*v**4 - 25 - 21/2*v + 39/4*v**2 - 5/2*v**3. Suppose h(u) = 0. Calculate u.
-7, 1
Let u(t) be the first derivative of -5/3*t**4 + 0*t**2 - 5/9*t**6 - 1 + 5/9*t**3 + 5/3*t**5 + 0*t. Find b, given that u(b) = 0.
0, 1/2, 1
Let l(q) = -4*q - 6. Let u = -6 - -4. Let o be l(u). Let -4/13*j + 2/13*j**o - 2/13*j**4 + 10/13*j**3 - 6/13*j**5 + 0 = 0. Calculate j.
-1, 0, 2/3, 1
Let z(o) be the third derivative of -o**8/43680 + o**7/16380 + 7*o**4/24 - 17*o**2. Let t(n) be the second derivative of z(n). What is q in t(q) = 0?
0, 1
Let h(g) = -g + 10. Let b be h(-15). Let f be -1 + 0 - ((-220)/b - -7). Suppose -f*r - 1/5*r**2 - 4/5 = 0. Calculate r.
-2
Let g be 6/((-12)/17)*4/(-3). Let f = 35/3 - g. Factor 0 - f*r**5 - 2*r**3 - 1/3*r + 4/3*r**2 + 4/3*r**4.
-r*(r - 1)**4/3
Let o be (6/(-4))/(9/(-24)) - 3. Let d be -1 + o/2*(-44)/(-18). Let -4/9*r + d + 2/9*r**2 = 0. Calculate r.
1
Let g = 542 - 536. Let f(x) be the first derivative of 6*x**2 - 8*x**3 + 3/4*x**4 + 9/5*x**5 + 0*x + g. Find d, given that f(d) = 0.
-2, 0, 2/3, 1
Let w be ((-34)/(-16) + 6 + -8)*-13. Let f = 25/8 + w. Solve -1/2*g**2 + f*g + 0 = 0.
0, 3
Let x = 1089/2 + -543. Let y(u) be the first derivative of 0*u + u**3 + 5 - x*u**4 + 3/5*u**5 + 0*u**2. Determine f, given that y(f) = 0.
0, 1
Suppose -58 = -23*t + 21*t - 27*t. Factor -4/11*w + 2/11*w**t - 6/11.
2*(w - 3)*(w + 1)/11
Let z be ((15 + 0)/(-5))/(3/(-4)). Suppose -10*s + 5*s = z*s. Suppose 2/9 - 2/9*u**2 + s*u = 0. What is u?
-1, 1
Let s(i) = -i**3 - 7*i**2 + 8*i + 4. Let w be s(-8). Suppose 5*v = -t + 10, -w*v + 3 = -1. Factor -15*q**2 - 13*q**3 - 3*q - 9*q**4 - 5 - 8*q**3 + t.
-3*q*(q + 1)**2*(3*q + 1)
Let k = 1/8941 - -26816/62587. Factor -k*l + 0 + 3/7*l**4 - 3/7*l**2 + 3/7*l**3.
3*l*(l - 1)*(l + 1)**2/7
Suppose q = 6*q - j + 357, q = 5*j - 57. Let g be (q/(-90))/((-7)/(-5)). Factor -2/7*p - 4/7*p**2 + 2/7*p**5 + 0 + 0*p**3 + g*p**4.
2*p*(p - 1)*(p + 1)**3/7
Let i(n) be the third derivative of 0*n**3 + 0*n**6 + 2/945*n**7 + 6*n**2 + 0 + 1/108*n**4 - 1/1512*n**8 - 1/135*n**5 + 0*n. Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let y(z) = -7*z**2 - 72*z - 282. Let u(j) = 13*j**2 + 144*j + 566. Let q(l) = 3*u(l) + 5*y(l). Solve q(o) = 0.
-12, -6
Suppose -5*o - 3 = 22. Let a(r) = r**3 + 5*r**2 - r - 2. Let i be a(o). Determine c so that -4*c + 0*c + 3*c**i + 0*c - c**4 = 0.
-1, 0, 2
Let y be 86/8 + 3/(-4). Suppose -2*x = 8 + 2, -k + 2*x = -y. Factor -2 - 2*n**3 + 2*n**2 + 2*n + k*n**3 + 0*n**2.
-2*(n - 1)**2*(n + 1)
Suppose 2*d - 5*d + 15 = 0. Suppose -3*g = 6, -3*p - d*g + 7 = -7. Factor -s**2 - 9*s**3 - 20*s**3 + 7*s**2 + p*s**3.
-3*s**2*(7*s - 2)
Let j be (-19 - -24)/((-40)/(-16)). Suppose -1/2 + 1/2*r**j + 0*r = 0. Calculate r.
-1, 1
Let c(n) be the second derivative of -n**6/270 + n**5/5 - 17*n**4/18 + 50*n**3/27 - 11*n**2/6 + 2*n + 375. Let c(x) = 0. Calculate x.
1, 33
Factor 2/5 + 56/5*h**3 - 2/5*h**2 - 56/5*h.
2*(h - 1)*(h + 1)*(28*h - 1)/5
Let h = -7425 + 7427. Factor 2/3*c**h - 2/9*c + 0.
2*c*(3*c - 1)/9
Let w(x) = x**3 - 3*x**2 - 3*x - 2. Let n be w(4). Let q(v) be the first derivative of 0*v**3 + 0*v - 3/2*v**4 + 2 + 1/2*v**6 + 3/2*v**n + 0*v**5. Factor q(t).
3*t*(t - 1)**2*(t + 1)**2
Let r(n) be the third derivative of -n**6/220 - n**5/15 - 8*n**4/33 + 32*n**3/33 - 2*n**2 + 23. Factor r(s).
-2*(s + 4)**2*(3*s - 2)/11
Let q = -1641 - -1645. Let u(h) be the first derivative of 5/2*h**2 + 5 + 0*h - 10/3*h**3 + 5/4*h**q. What is m in u(m) = 0?
0, 1
Let g = -5/6 - -37/30. Determine o so that -2/15*o**4 - g*o + 0 + 2/15*o**2 + 2/5*o**3 = 0.
-1, 0, 1, 3
Let r(b) = -9*b + 103. Let h be r(11). Suppose 0*y = -2*j - y + 15, -h*j + 2*y + 18 = 0. Solve 8/3 + 40/3*l + j*l**4 + 74/3*l**2 + 20*l**3 = 0 for l.
-1, -2/3
Let f(k) be the second derivative of -3*k**5/160 + 7*k**4/32 + k**3/2 + 48*k. Factor f(c).
-3*c*(c - 8)*(c + 1)/8
Determine f so that f**3 - f**4 + 8*f**3 + 7*f + 34*f**2 - 121*f**2 + 72*f**2 = 0.
0, 1, 7
Solve -26*a**4 - 4*a**5 - 10*a**3 + 7*a**4 + 4*a**4 - a**5 = 0.
-2, -1, 0
Let f(b) be the second derivative of -b**4/96 - b**3/6 - 3*b**2/4 - 67*b. Factor f(a).
-(a + 2)*(a + 6)/8
Let q(j) be the first derivative of j**6/2 - 6*j**5/5 - 3*j**4/4 + 2*j**3 - 194. Determine t, given that q(t) = 0.
-1, 0, 1, 2
Suppose 12 = 5*q - 4*q. Suppose -12*o = -16*o + q. Factor 4*y**2 + 49*y**4 - 67*y**4 - 3*y**o - 4*y**2 - 27*y**5.
-3*y**3*(3*y + 1)**2
Let x(y) be the first derivative of -45 - 5/4*y**4 - 60*y**3 - 8640*y - 1080*y**2. Suppose x(q) = 0. What is q?
-12
Let i(o) be the third derivative of -o**5/180 - 5*o**4/36 - 8*o**3/9 - 2*o**2 - 46. Determine b, given that i(b) = 0.
-8, -2
Let q(a) = -3*a - 25. Let y be q(-9). Suppose 0*j + 4*k - 18 = -y*j, 3*j = 3*k. Let -8*g**5 + g**2 + 1/2*g - 15/2*g**j + 0 - 16*g**4 = 0. What is g?
-1, -1/4, 0, 1/4
Let c(x) = -19*x - 90. Let u be c(-6). Let t be (u/32*-1)/((-1)/8). Factor -21/2*w**4 + 57/2*w**3 - t + 24*w + 3/2*w**5 - 75/2*w**2.
3*(w - 2)**2*(w - 1)**3/2
Let h(y) be the second