 = 5*c - 2*c. Let w be 2/3 - x/168. Suppose -8/7 + w*o - 2/7*o**2 = 0. What is o?
2
Suppose -5*p + 4*k = -p + 8, 16 = 2*p + 2*k. Let 120*v + 80 + 132*v**p - 127*v**3 + 51*v**2 - 6*v**2 = 0. Calculate v.
-4, -1
Let u(o) be the second derivative of -o**7/105 - 2*o**6/25 - 4*o**5/25 + 8*o**4/15 + 16*o**3/5 + 32*o**2/5 - 79*o. Let u(j) = 0. What is j?
-2, 2
Let d(p) be the second derivative of 3*p**5/20 + 17*p**4/4 + 8*p**3 - 38*p + 1. Let d(c) = 0. Calculate c.
-16, -1, 0
Suppose -4*b = -2*r, 4*r - b = -r - 9. Let l be (4 - (r + 9)) + 6. Let -1/2 - 5/4*v**4 - 3/4*v**l + 3/4*v + 7/4*v**2 = 0. Calculate v.
-1, 2/5, 1
Factor 25*p**3 + 3 + 1098*p**2 - 80*p - 1153*p**2 - 3.
5*p*(p + 1)*(5*p - 16)
Let l = -1127 - -1135. Let q(m) be the third derivative of 1/130*m**5 - l*m**2 + 1/52*m**4 + 1/39*m**3 + 1/780*m**6 + 0 + 0*m. Find f such that q(f) = 0.
-1
Let o(w) be the third derivative of 7/36*w**4 + 0 - 17/270*w**5 + 1/180*w**6 + 0*w + 1/3*w**3 + w**2. Let o(i) = 0. Calculate i.
-1/3, 3
Let c(z) be the first derivative of 2/5*z**3 - 12 + 9/10*z**2 + 1/20*z**4 + 4/5*z. Factor c(x).
(x + 1)**2*(x + 4)/5
Suppose -15 = 3*g - 0*g. Let x be g/((-10)/4) - -28. Factor 3*k**3 + 23 - 3*k**2 + 81*k + 58 + x*k**2.
3*(k + 3)**3
Suppose 198 = -48*p + 50*p. Let f = -96 + p. What is u in -8 - 1/2*u**2 - 1/2*u**4 - f*u**3 + 12*u = 0?
-4, 1
Let m(u) be the third derivative of -u**6/24 + u**5/10 - u**4/24 + 21*u**2. Factor m(r).
-r*(r - 1)*(5*r - 1)
Let u(y) be the third derivative of y**8/168 - 34*y**7/105 + 289*y**6/60 - 422*y**5/15 + 76*y**4/3 + 1472*y**3/3 + 37*y**2 - 2*y. Let u(s) = 0. What is s?
-1, 4, 23
Let u(x) be the second derivative of 0 + 0*x**3 + 2*x**2 - 1/12*x**4 + 4*x. Factor u(q).
-(q - 2)*(q + 2)
Let b(c) be the second derivative of c**7/4200 + c**6/900 - c**5/200 - 31*c**3/6 + 26*c. Let u(r) be the second derivative of b(r). Let u(l) = 0. Calculate l.
-3, 0, 1
Suppose 5*f + 194 = -5*j + 674, -207 = -2*j + 3*f. Let c = j + -96. Solve 9/2*w**2 + 9/4*w**5 - 15*w + 51/4*w**c - 21/2*w**4 + 6 = 0.
-1, 2/3, 1, 2
Let s(g) be the second derivative of -g**4/54 - 32*g**3/27 + 11*g**2/3 - 30*g - 2. Factor s(j).
-2*(j - 1)*(j + 33)/9
Let o(d) = -d**2 + d. Let c(p) = -3*p**3 - 37*p**2 - 94*p + 36. Let r(h) = 3*c(h) - 6*o(h). Find l, given that r(l) = 0.
-6, 1/3
Let p(i) be the third derivative of 15*i**6/8 + 7*i**5/2 - 5*i**4/6 - 20*i**3/3 - 114*i**2. Find h such that p(h) = 0.
-2/3, 2/5
Let a(h) = 15*h**3 - 607*h**2 + 7697*h - 2503. Let l(q) = 46*q**3 - 1822*q**2 + 23090*q - 7510. Let x(u) = 10*a(u) - 3*l(u). Let x(n) = 0. What is n?
1/3, 25
Let t be (-24)/(-15) + (-4)/(-10). Let z(k) = -7*k - 2*k + 6*k + 8*k**t. Let g(c) = -c**2. Let b(w) = -5*g(w) - z(w). Determine a, given that b(a) = 0.
0, 1
Let d(u) be the second derivative of u**4/5 - 688*u**3/15 + 456*u**2/5 - 291*u. Let d(w) = 0. Calculate w.
2/3, 114
Suppose -176*n + 237 + 137 = 22. Factor 6/11 - 4/11*v - 2/11*v**n.
-2*(v - 1)*(v + 3)/11
Suppose 284*z - 84 = 270*z. Let s(y) be the third derivative of -2/15*y**5 + 2/105*y**7 + 0 + 0*y - y**2 + 2/3*y**3 + 0*y**4 + 0*y**z. Solve s(j) = 0.
-1, 1
Let l(w) be the second derivative of w**4/36 + 4*w**3 + 216*w**2 - 223*w. Factor l(k).
(k + 36)**2/3
Suppose -2*n - 211 = 5*d, -n - 2*n = -2*d + 307. Let b = n + 313/3. Factor -b*o + 0 - 2/3*o**2.
-2*o*(o + 2)/3
Let 4*p**2 + 2*p**2 - 11*p**2 + 2*p**2 + 8*p - 64 + 5*p**2 = 0. Calculate p.
-8, 4
Let z(i) be the first derivative of i**7/273 + 4*i**6/195 + i**5/26 + i**4/39 - 4*i - 7. Let j(x) be the first derivative of z(x). Solve j(n) = 0 for n.
-2, -1, 0
Let y be 16 - (0 + 0 + 4). Factor -y*w + 10*w - 3 + 5*w**2 - 3*w**2 - 1.
2*(w - 2)*(w + 1)
Let c(x) be the first derivative of -20/3*x**3 - 4*x**2 + 0*x - 2*x**4 + 2. Factor c(h).
-4*h*(h + 2)*(2*h + 1)
Let j(a) = 7*a**2 + 8*a + 12. Let g(w) = -2*w**2 + w - 3. Let c(i) = -4*g(i) - j(i). Find o, given that c(o) = 0.
0, 12
Suppose 3*p + 6 = 6. Suppose 5*k + 20 = p, -2*b + 4*k + 0*k = -24. Factor -1/4*u**b + 0 - 5/4*u**3 - 2*u**2 - u.
-u*(u + 1)*(u + 2)**2/4
Determine t so that -9*t + 255*t + 29761 - 3*t**2 - 29761 = 0.
0, 82
Let i(u) = u**2 + 16*u - 105. Let y be i(-21). What is j in -1/8*j**2 + y*j + 0 = 0?
0
Let i be ((-1)/14)/((240/280)/(-6)). Solve j**2 + i*j - 1/2 = 0 for j.
-1, 1/2
Let k(d) be the third derivative of -d**6/360 + 5*d**5/108 - d**4/36 - 8*d**3/27 + 471*d**2. Determine o so that k(o) = 0.
-2/3, 1, 8
What is c in 461280*c + 10*c**5 + 148955 + 368*c**4 + 563*c**4 + 30230*c**3 + 341620*c**2 + 14*c**4 = 0?
-31, -1, -1/2
Suppose 7 + 90 = s. Suppose -5*x + c + 410 = 6*c, -x + s = 4*c. Factor -x*o + 5*o**3 + 20*o**4 + 77*o + 20*o**5.
5*o**3*(2*o + 1)**2
Let a(f) be the third derivative of f**9/756 + f**8/420 - f**7/210 - f**6/90 - 7*f**3/3 + 51*f**2. Let l(o) be the first derivative of a(o). Factor l(p).
4*p**2*(p - 1)*(p + 1)**2
Let c(h) = 45*h**4 + 80*h**3 - 15*h**2 - 30*h. Let x(v) = -2*v**4 - v**3 + 3*v. Let f(q) = c(q) + 10*x(q). Factor f(b).
5*b**2*(b + 3)*(5*b - 1)
Solve -y**4 - 137*y**3 + 0*y**2 + 136*y**3 + 9*y**2 + 9*y = 0.
-3, -1, 0, 3
Suppose -140*q + 30 = -125*q. Let r(s) be the first derivative of 1/26*s**4 + 0*s**q - 2/39*s**3 + 0*s - 3. Factor r(d).
2*d**2*(d - 1)/13
Let j(i) be the third derivative of i**6/1620 + i**5/270 - i**4/36 + 2*i**3 - 7*i**2. Let w(k) be the first derivative of j(k). Factor w(h).
2*(h - 1)*(h + 3)/9
Let c be (-222)/(-185)*(9/2 - 2). Determine x so that 2*x - x**c - 1/2*x**2 + 3/2 = 0.
-1, 3/2
Determine w, given that -3*w**3 + 31/4*w**4 - 23/2*w**2 - 1/2*w**5 + 15/4 + 7/2*w = 0.
-1, -1/2, 1, 15
Let m(q) be the second derivative of q**7/42 - 3*q**6/10 + 6*q**5/5 - 5*q**4/3 - 3*q + 5. Factor m(y).
y**2*(y - 5)*(y - 2)**2
Let n(w) be the third derivative of -w**5/240 - 11*w**4/96 - 14*w**2 - 10. Factor n(h).
-h*(h + 11)/4
Suppose 331*t - 324*t = -280. Let g be 2/(18/(-15))*16/t. Factor 2/3*k**3 + 2/3 - 2/3*k**2 - g*k.
2*(k - 1)**2*(k + 1)/3
Let r be 3 + (-12)/(-4) + -3 - -2. Suppose r*t + 10 = 5*g + 2*t, -5*g = 2*t - 10. Factor 0 - 2/9*q**g - 2/9*q.
-2*q*(q + 1)/9
Let a(f) = f**3 + 2*f**2 - 3*f - 3. Let g be a(-2). Suppose g*p + 4*l + 4 - 2 = 0, -p + 5*l + 31 = 0. Factor -4*r**4 + 2*r**4 + r**2 - p*r**3 - 5*r**2.
-2*r**2*(r + 1)*(r + 2)
Let u(a) be the third derivative of 1/24*a**4 - 1/120*a**6 + 16*a**2 + 0 + 1/6*a**3 + 0*a - 1/60*a**5. Factor u(v).
-(v - 1)*(v + 1)**2
Let x = 398/1915 + -3/383. What is d in -x*d + 0 + 1/10*d**2 + 1/10*d**3 = 0?
-2, 0, 1
Let b(n) = -4*n**2 + 1. Let y(m) = -9*m**2 - 3 + 12 - 8. Let r(q) = -14*b(q) + 6*y(q). Factor r(t).
2*(t - 2)*(t + 2)
Solve 15134*i**3 - 105 + 255*i**4 - 45*i**5 + 185*i + 556*i - 26*i - 14524*i**3 - 1430*i**2 = 0.
-3, 1/3, 1, 7
Let u be 15/(3 + (2 - 92/16)). Let j be (-13)/u - 28/70. Find z such that -1/4*z + j*z**2 + 0 = 0.
0, 1
Factor 0 + 74/15*q + 2/15*q**2.
2*q*(q + 37)/15
Suppose -39*y = -37*y - 22. Let g(m) be the first derivative of 0*m**2 - 3/16*m**4 + 0*m**3 - 1/8*m**6 + 0*m - 3/10*m**5 + y. Factor g(w).
-3*w**3*(w + 1)**2/4
Let m be -1 - (5 + -1) - (340/(-12))/5. Factor 4 + 14/3*o + m*o**2.
2*(o + 1)*(o + 6)/3
Let u(v) be the third derivative of 1/30*v**5 + 0 - 1/20*v**6 + 16*v**2 - 2/3*v**3 + 1/105*v**7 + 1/4*v**4 + 0*v. Factor u(n).
2*(n - 2)*(n - 1)**2*(n + 1)
Let l(z) be the second derivative of 13*z**5/40 - z**4/12 - 13*z**3/12 + z**2/2 + 94*z. Factor l(m).
(m - 1)*(m + 1)*(13*m - 2)/2
Let j(h) be the second derivative of -1 - h - 1/12*h**4 + 0*h**2 + 1/3*h**3 - 1/20*h**5. Determine v so that j(v) = 0.
-2, 0, 1
Let z(k) be the third derivative of k**10/302400 - k**8/40320 - k**5/30 - 11*k**2. Let f(n) be the third derivative of z(n). Let f(y) = 0. What is y?
-1, 0, 1
Let 2/9*j**2 - 2/3*j + 0 - 2*j**4 + 2*j**3 + 4/9*j**5 = 0. What is j?
-1/2, 0, 1, 3
Let u(f) = -65*f**3 + 5*f**2 - 45*f + 105. Let m(p) = -2*p**3 - p**2 + p + 2. Let l(o) = 30*m(o) - u(o). Factor l(i).
5*(i - 3)**2*(i - 1)
Let o(r) be the second derivative of r**7/14 + 2*r**6 + 24*r**5 + 160*r**4 + 640*r**3 + 1536*r**2 - r - 7. Factor o(c).
3*(c + 4)**5
Let q(f) be the first derivative of 10/7*f**2 + 30 + 2/21*f**3 + 50/7*f. Factor q(a).
2*(a + 5)**2/7
Suppose -2*s = -d - 7, 17*s - 13*s - 4*d - 12 = 0. Factor 18 - s*w + 2/9*w**2.
2*(w - 9)**2/9
Let b(o) = o**3 - 10*o**2 + 2*o - 17. Let f