*2 + 3*w + 3*w - b.
3*(w + 1)**2
Let h(j) = 2*j**3 + 12*j**2 + 3*j + 18. Let v be h(-6). Find x such that -6/7*x**2 + 6/7*x**3 + 2/7*x + v - 2/7*x**4 = 0.
0, 1
Let g be 482/6 + (2 - 0)/(-6). Let q be -3 + g/25 + 326/20. Determine p so that 5*p - q*p**2 - 8*p**4 - 1/2 + 20*p**3 = 0.
1/4, 1
Let j(r) be the third derivative of -1/14*r**5 + 1/840*r**6 + 0*r + 0 - 35*r**2 - 500/21*r**3 + 25/14*r**4. Factor j(u).
(u - 10)**3/7
Let v be -1 - (273/140 + -2)*23. Let c(l) be the second derivative of v*l**5 + l**3 - 3/4*l**4 + 0 - l + 0*l**2. Let c(n) = 0. Calculate n.
0, 1, 2
Let b(u) be the first derivative of -u**4/12 - 98*u**3/9 + 33*u**2/2 - 931. Factor b(h).
-h*(h - 1)*(h + 99)/3
Let x(u) be the first derivative of u**4/2 + 506*u**3 + 192027*u**2 + 32388554*u - 448. Let x(k) = 0. What is k?
-253
Let f(d) = 3*d - 19. Let z be f(10). Suppose 3*k**2 + 11*k**3 - 5*k**3 + z*k - 15*k**2 - 3*k - k**4 = 0. What is k?
0, 2
Suppose -52*y - 600 = -152*y - 200*y. Determine h so that -9/2*h**5 + 0 - 12*h**4 - 4*h**y - 1/2*h - 11*h**3 = 0.
-1, -1/3, 0
Let x(m) be the second derivative of 0 + 5*m + 5/9*m**3 - 1/18*m**4 - 2*m**2. Factor x(i).
-2*(i - 3)*(i - 2)/3
Let d be (-62)/(-184) + (-116)/1334. Solve 3/4*r**3 - d*r**5 + 1/4*r**4 - 1/4*r**2 + 0 - 1/2*r = 0.
-1, 0, 1, 2
Factor 5/3*f + 0 - 1/3*f**3 + 4/3*f**2.
-f*(f - 5)*(f + 1)/3
Suppose -18*m + 25*m = 903. Let x = m - 379/3. Factor 2*b**4 - x*b**2 + 0*b + 8/3*b**3 + 0.
2*b**2*(b + 2)*(3*b - 2)/3
Suppose 174 = 85*n - 27*n. Let d(k) be the first derivative of 1/2*k**2 + 0*k + 0*k**n + 8 - 1/4*k**4. Solve d(f) = 0 for f.
-1, 0, 1
Let g be (1 - -11) + 2178/(-484). Determine m so that -g*m**2 + 5 + 5/2*m = 0.
-2/3, 1
Let b(s) = 207*s**3 - 51*s**2 - 546*s + 354. Let z(t) = -59*t**3 + 14*t**2 + 156*t - 101. Let f(l) = 5*b(l) + 18*z(l). Factor f(u).
-3*(u - 1)*(u + 2)*(9*u - 8)
Let k(p) = -p**4 + 2*p**2 - p. Let h(x) = 11*x**4 + 29*x**3 + 25*x**2 - 49*x - 16. Let n(d) = 5*h(d) + 35*k(d). Solve n(v) = 0.
-4, -1/4, 1
Let p(u) be the first derivative of u**5/4 - 5*u**4/4 - 15*u**3/2 - 25*u**2/2 - 31*u + 7. Let i(q) be the first derivative of p(q). Solve i(t) = 0 for t.
-1, 5
Let v be -170*((-8)/10 + 0). Let j = v - 136. Suppose 0 - 3/8*z**4 - 3/8*z**3 + j*z**2 + 0*z = 0. What is z?
-1, 0
Suppose -4*n + 14 = y, -2 = 4*y - 4*n + 2. Let p(r) be the first derivative of 4 - 1/20*r**4 + 0*r + 4/25*r**5 - 4/15*r**3 + 1/10*r**y. Let p(k) = 0. What is k?
-1, 0, 1/4, 1
Let n(d) = 77*d**2 + 110*d + 29. Let g(l) = 232*l**2 + 330*l + 84. Let p(j) = -2*g(j) + 7*n(j). Suppose p(s) = 0. What is s?
-1, -7/15
Let a(z) be the second derivative of z**4/3 - 76*z**3/3 - 78*z**2 + 11*z - 2. Factor a(v).
4*(v - 39)*(v + 1)
Factor -20*q**2 - 46*q**2 + 255*q**3 + 9*q**5 - 110*q**4 + 16*q**5 - 45*q**4 + 21*q**2.
5*q**2*(q - 3)**2*(5*q - 1)
Suppose 5*f = 5 + 40. Let x = -9 + f. Find b such that 0*b**2 + 0 + 8/7*b**5 - 10/7*b**4 + x*b + 2/7*b**3 = 0.
0, 1/4, 1
Let f(h) = -6*h - 15. Let w be f(-3). What is z in 5*z**2 - 5*z**w - 5*z**4 + 5*z**5 + 273 - 273 = 0?
-1, 0, 1
Let u be (16/(-12))/(2/(-4)*(-28)/(-42)). Factor 0*c + 10/3*c**3 - 5/3*c**2 + 0 - 5/3*c**u.
-5*c**2*(c - 1)**2/3
Let g = 26823/5 - 5363. Factor -1/5*r**3 + 4/5 + r**2 - g*r.
-(r - 2)**2*(r - 1)/5
Let p(b) be the first derivative of -b**5/35 + b**4/12 + b**3/21 - 21*b - 22. Let x(z) be the first derivative of p(z). Factor x(r).
-r*(r - 2)*(4*r + 1)/7
Let y = 11888/17823 - 2/5941. Let i(u) be the first derivative of 14 + 7/12*u**4 + y*u - 2/15*u**5 - 1/6*u**2 - 2/3*u**3. What is t in i(t) = 0?
-1/2, 1, 2
Solve -9*y**2 - 8 + 14*y - 1/4*y**4 + 5/2*y**3 = 0.
2, 4
Let c(k) = -k**2 + k + 2. Let i(u) = 4*u**2 - 3*u - 22. Let f(l) = 3*c(l) + i(l). Let x be f(4). Find b such that 2/7*b**2 - 8/7*b + x = 0.
0, 4
Suppose 3*d + 28 = 10*d. Suppose -p - 4 = 0, -2*p - 40 = -d*n + 3*p. Factor 0*l**4 + 4/7*l**3 + 0 + 0*l**2 - 2/7*l**n - 2/7*l.
-2*l*(l - 1)**2*(l + 1)**2/7
Let k = -273/2 + 1943/14. Suppose -36/7*f - 44/7*f**2 - 8/7 + 0*f**3 + k*f**4 = 0. What is f?
-1, -1/2, 2
Let k be (-3 + -7 - -10)/(-7). Let p be (2/6*0)/(-1). Solve 0*m**2 - 3/4*m**5 + p*m - 3*m**3 + 3*m**4 + k = 0.
0, 2
Let k be 18/20*((-140)/16)/(-7). Let b(c) be the first derivative of -1 - 3/16*c**4 + 3/4*c + 3/4*c**3 - k*c**2. Factor b(v).
-3*(v - 1)**3/4
Let s be (-85)/153 - (-2)/3. Let h(z) be the first derivative of 2/9*z - 5 + 1/18*z**4 - 2/27*z**3 - s*z**2. Factor h(l).
2*(l - 1)**2*(l + 1)/9
Suppose -17*z = -60*z + 301. Let k(c) be the first derivative of -c + 1/12*c**4 + z - 5/9*c**3 + 7/6*c**2. Determine t so that k(t) = 0.
1, 3
Factor 4/9*v + 0 + 4/3*v**2.
4*v*(3*v + 1)/9
Let h be (2*(68/60 - 1))/4. Let k(v) be the second derivative of h*v**6 - 2*v**2 + 1/10*v**5 + 0 - 5/3*v**3 - 6*v - 1/2*v**4. Factor k(z).
2*(z - 2)*(z + 1)**3
Suppose 2*k + 913*f = 912*f + 4, 4*k - 4 = -3*f. Factor -26/9*o**2 - 8/3*o - 8/9 - 4/3*o**3 - 2/9*o**k.
-2*(o + 1)**2*(o + 2)**2/9
Let i(l) be the first derivative of l**6/75 - l**4/30 + 3*l + 7. Let t(z) be the first derivative of i(z). Factor t(u).
2*u**2*(u - 1)*(u + 1)/5
Suppose 20*z - 27*z + 14 = 0. Factor z*t**3 - 4*t + 5 + 0 + 2*t**3 - 13 + 8*t**2.
4*(t - 1)*(t + 1)*(t + 2)
Let 245 + 75*b**2 - 315*b + 522*b**3 + 524*b**3 - 1051*b**3 = 0. What is b?
1, 7
Let p be ((-28)/245)/((-4)/10). Let j = 375/7 + -53. Factor -2/7*s**2 + j + p*s.
-2*(s - 2)*(s + 1)/7
Let b(u) be the first derivative of u**6/51 + 8*u**5/85 - 16*u**4/17 - 148*u**3/51 + 31*u**2/17 + 140*u/17 - 403. Suppose b(m) = 0. What is m?
-7, -2, -1, 1, 5
Let b(r) be the third derivative of r**7/2520 - r**6/1080 + 35*r**3/6 - 9*r**2. Let j(t) be the first derivative of b(t). Factor j(y).
y**2*(y - 1)/3
Let w(o) = -2*o - 2. Let s = -7 - -4. Let y be w(s). Suppose -3*i + i**4 + 6*i**3 - i**y - 3*i**5 = 0. Calculate i.
-1, 0, 1
Suppose j - 4*w = -4 - 6, 110 = -3*j - 4*w. Let p be (1 - -1)/((-12)/j). Factor -h**5 + h**2 - h**4 + h**5 - h**3 + h**p.
h**2*(h - 1)**2*(h + 1)
Let z(q) be the second derivative of q**5/60 - 41*q**4/18 + 266*q**3/3 + 588*q**2 - 80*q. Find w such that z(w) = 0.
-2, 42
Let d(n) = -n**4 + 2*n**3 - 6*n**2 - 2*n + 5. Let h(y) = 3*y**4 - 4*y**3 + 13*y**2 + 4*y - 11. Let f(v) = 5*d(v) + 2*h(v). Find u, given that f(u) = 0.
-3, -1, 1
Let k(g) = 3 - 9*g + 4 - 2 - 2*g**3 + g**2 + 5*g**3. Let j(l) = -2*l**3 + 5*l - 3. Let s(u) = -5*j(u) - 3*k(u). Solve s(m) = 0.
0, 1, 2
Let b(d) = d**3 - 8*d**2 + 8*d - 5. Let r be b(7). Factor -5*i**4 - 4*i**r - 2*i**3 - 5*i**3 + 14*i**4 - 5*i**3 + 7*i**5.
i**2*(i - 1)*(i + 2)*(7*i + 2)
Let z = 133/320 - 1/64. Find t such that -z*t**3 + 2/5*t**4 - 2/5*t**2 + 0*t + 2/5*t**5 + 0 = 0.
-1, 0, 1
Suppose 285 + 151 - 138 = 149*b. Factor 3/5*g + 2/5 - g**b.
-(g - 1)*(5*g + 2)/5
Suppose 0*z = 5*z - 110. Factor -125 - 6*g**2 - 97*g + z*g - g**3 - 9*g**2.
-(g + 5)**3
Let a(y) = -y**3 + 13*y**2 + 43*y + 24. Let j be a(16). Let q be (-49)/j*4 - -1. What is m in 3/2*m**2 - q*m + 0 = 0?
0, 3
Suppose -2*n - 3*m + 2 = -26, 3*n - 3*m - 12 = 0. What is q in -142*q**3 - 40*q - 125*q**4 + 48*q**2 + 132*q**2 - n*q**3 = 0?
-2, 0, 2/5
Let i be (207/(-253))/(-4 - 329/(-84)). What is x in -90/11*x**3 - i*x - 2*x**4 - 162/11*x**2 - 2/11*x**5 + 0 = 0?
-3, -2, 0
Let m = 934 - 931. Let a(r) be the third derivative of 0 - 1/6*r**3 - 1/16*r**4 + 0*r - m*r**2 - 1/120*r**5. Factor a(p).
-(p + 1)*(p + 2)/2
Let g(b) be the first derivative of -7*b**4/22 - 32*b**3/33 - 4*b**2/11 - 24. Factor g(l).
-2*l*(l + 2)*(7*l + 2)/11
Let x(a) be the third derivative of a**5/12 + 15*a**4 + 355*a**3/6 + 2*a**2 + 3*a. Find s, given that x(s) = 0.
-71, -1
Let r(b) = -b**3 - 2*b**2 + 32. Let d be r(0). What is s in -12*s**3 + 4*s**4 + 19*s**2 + 21*s**2 - d*s**2 = 0?
0, 1, 2
Suppose -2*f - 131 = -4*a + f, -2*a + 3*f = -61. Let i = -32 + a. Factor -5*q - 29*q**3 + 18*q**3 + 16*q**i.
5*q*(q - 1)*(q + 1)
Let d(s) = 6*s**3 - 21*s**2 - 17*s + 5. Let j(k) = -28*k**3 + 104*k**2 + 84*k - 24. Let p(f) = 24*d(f) + 5*j(f). Factor p(m).
4*m*(m + 1)*(m + 3)
Suppose -5*h + 10 = 0, -k + 7 = -3*h + 8. Let c(u) be the third derivative of 4*u**2 + 0*u + 1/8*u**4 + 3/40*u**6 + 1/2*u**3 - 1/4*u**k + 0. Factor c(z).
3*(z - 1)**2*(3*z + 1)
Factor -22/7*n + 18/7*n**2 + 4/7.
2*(n - 1)*(9*n - 2)/7
Suppose 2 = 5*x - 2*d, 3*x - d + 3 = 5. Let k(q) = -q**2 + 6*q - 