*w - i + 30 = 0. What is v in v**2 + 11 - w + 4*v - 2*v - v**3 = 0?
-1, 0, 2
Let k be (-4 - -12) + 2/2. Factor 165*m**3 + 79*m**3 + 144*m**2 + 315*m**4 - k*m - 7*m - 231*m**4.
4*m*(m + 1)*(m + 2)*(21*m - 2)
Let b = 1787 + 690. Let b*g**3 - 2477*g**3 + 4*g**5 + 15 - 15 = 0. Calculate g.
0
Suppose 178 - 15 + 17892*h**2 - 71 - 20164*h**3 + 2208*h - 28 = 0. What is h?
-4/71, 1
Factor -14128/11 - 10572/11*i**2 - 1754/11*i**3 - 21176/11*i + 2/11*i**4.
2*(i - 883)*(i + 2)**3/11
Suppose 0 = 3*c + 4*b - 58, 1734*c + 57 = 1730*c + 5*b. Factor -18/7 + 10/7*o**c - 8/7*o.
2*(o + 1)*(5*o - 9)/7
Factor -333 - 441/2*n - 1/2*n**3 + 112*n**2.
-(n - 222)*(n - 3)*(n + 1)/2
Let w be 8 + ((-120)/(-20) - 10). Let c(k) be the second derivative of 1/22*k**w - 1/11*k**3 - 1/110*k**5 + 0 + 1/11*k**2 + k. Suppose c(d) = 0. Calculate d.
1
Let h = 4/155 + 1204/1395. Let i be ((-32)/168)/((-6)/(-63)*-3). Solve 8/9*j + h - 10/9*j**2 - i*j**3 = 0.
-2, -2/3, 1
Let s(u) be the second derivative of 27*u**7/1400 - 3*u**6/100 + u**5/50 - 10*u**4 + 81*u. Let o(n) be the third derivative of s(n). Find m such that o(m) = 0.
2/9
Let x(t) = t**3 - 6*t**2 - 1. Let d(r) = -5*r**2 + r. Let m = 66 - 57. Let i be ((-15)/2)/(-5)*12/m. Let j(z) = i*x(z) - 3*d(z). Let j(l) = 0. Calculate l.
-2, -1/2, 1
Let l(q) be the second derivative of -5*q**7/42 + 55*q**6/6 + 87*q**5/2 + 5*q**4/3 - 580*q**3/3 - q + 871. Find v such that l(v) = 0.
-2, 0, 1, 58
Let f(t) be the first derivative of 1/15*t**5 + 20/3*t**2 + 11/3*t**3 - 13 + 5/6*t**4 + 16/3*t. Suppose f(a) = 0. What is a?
-4, -1
Let l = 13681/60 + -228. Let u(v) be the second derivative of -1/20*v**5 + 1/6*v**3 + 0 - l*v**6 + 1/24*v**4 + 4*v + 0*v**2. Factor u(a).
-a*(a - 1)*(a + 1)*(a + 2)/2
Let z(t) be the first derivative of 72*t**3 - 19 - 26*t - 6*t**4 - 432*t**2 + 1/5*t**5. Let g(u) be the first derivative of z(u). Determine b so that g(b) = 0.
6
Let p(g) be the first derivative of -529/4*g**3 + 0*g - 27 + 0*g**2 + 69/8*g**4 - 3/20*g**5. Factor p(o).
-3*o**2*(o - 23)**2/4
Factor 312/7*g - 2/7*g**3 - 72 - 26/7*g**2.
-2*(g - 6)*(g - 2)*(g + 21)/7
Suppose 5*z - 10 = f, -75 = f - 5*f - 3*z. Let u be 39/144*4 + f/(-20). Factor 0 + 0*a + 1/3*a**2 - 1/3*a**5 - 1/3*a**4 + u*a**3.
-a**2*(a - 1)*(a + 1)**2/3
Factor 46/3*i - 2/9*i**3 + 0 - 40/9*i**2.
-2*i*(i - 3)*(i + 23)/9
Let f(d) = 2*d**3 + d**2 - 3. Let j(y) = -9*y**3 + 206*y**2 + 4*y - 828. Let a(u) = -12*f(u) - 3*j(u). Solve a(b) = 0.
-2, 2, 210
Let g(p) be the second derivative of -p**4/4 + 571*p**3 - 978123*p**2/2 - 2*p + 792. Suppose g(q) = 0. Calculate q.
571
Let m(o) be the third derivative of -67*o**5/45 - 35*o**4/9 - 2*o**3/3 + 152*o**2 + 2*o - 2. Factor m(j).
-4*(j + 1)*(67*j + 3)/3
Factor 59*c**2 + 103*c**2 - 309*c**2 - 270 + 3*c**3 - 351*c + 69*c**2.
3*(c - 30)*(c + 1)*(c + 3)
Suppose -4*f + 30 = 11*f. Let h be 0 - 2 - f - (-1056)/156. Let 2*d - 18/13*d**5 - 40/13*d**4 + h*d**2 - 8/13*d**3 + 4/13 = 0. Calculate d.
-1, -2/9, 1
Find x such that -5/3*x - 11/6 + 1/6*x**2 = 0.
-1, 11
Let h(l) = -3*l**3 + 7*l**2 + 43*l - 43. Let d be h(1). Find p, given that 80 + 15/2*p**5 - 35*p**d + 120*p**2 - 200*p + 20*p**3 = 0.
-2, 2/3, 2
Factor -48 + 15*f - 3/4*f**2.
-3*(f - 16)*(f - 4)/4
Let u(z) = 9*z**2 + 7274*z + 1745. Let l(c) = 27*c**2 + 21822*c + 5192. Let y(a) = -3*l(a) + 8*u(a). Suppose y(s) = 0. Calculate s.
-808, -2/9
Let i = -18610 + 93082/5. Factor i*p - 2/5*p**2 - 6.
-2*(p - 15)*(p - 1)/5
Let m(f) be the second derivative of 76*f**6/105 + 229*f**5/35 + 116*f**4/7 + 6*f**3/7 - 456*f. Factor m(o).
4*o*(o + 3)**2*(38*o + 1)/7
Factor 0*d**2 + 2/5*d**3 + 1/5*d**4 + 0*d + 0 - 1/5*d**5.
-d**3*(d - 2)*(d + 1)/5
Let k(l) be the second derivative of l**7/5040 + l**6/432 + l**5/120 + 77*l**3/3 + l**2 + l + 53. Let b(j) be the second derivative of k(j). Solve b(v) = 0.
-3, -2, 0
Let z(m) = -m**2 - 11*m + 67. Let r be z(4). Suppose -29 + 43 = r*u. Factor 6 - 9/2*w**u - 3/2*w**3 + 0*w.
-3*(w - 1)*(w + 2)**2/2
Let h(j) = 4*j**2 - 41*j - 227. Let d be h(-5). Suppose -68*y = -d*y. Find t, given that 4/7*t**2 - 2/7*t**3 + 0 + y*t = 0.
0, 2
Factor 217/4*z - 1/4*z**2 + 0.
-z*(z - 217)/4
Let d = 566 - 248. Suppose 319*k - 2 = d*k. Factor 8/3*p + 4/3*p**k + 0.
4*p*(p + 2)/3
Let w(h) be the third derivative of -h**7/490 + h**6/140 + h**5/140 - h**4/28 - h**2 + 280. Find a such that w(a) = 0.
-1, 0, 1, 2
Let c = 145 - 143. Find j, given that 10*j - 5*j**2 - 20*j + 9*j**c + 14*j = 0.
-1, 0
Let g be -14*(-14)/392*1*6. Let 93312*x - 92844 + 7776*x**2 + 220577 + 4*x**4 + 288*x**g + 292171 = 0. What is x?
-18
Let q(p) be the first derivative of -p**6/6 - 118*p**5/15 + 83*p**4/3 - 56*p**3/3 - 22. Let q(h) = 0. What is h?
-42, 0, 2/3, 2
Let m(u) be the third derivative of 9 + 0*u - 3/70*u**5 + 5*u**2 - 1/280*u**6 + 0*u**3 - 1/7*u**4. Let m(k) = 0. What is k?
-4, -2, 0
Determine v, given that 5/2*v**4 + 65/2*v**2 + 75/2*v - 35 - 75/2*v**3 = 0.
-1, 1, 14
Factor -35/2*t**3 + 0*t**2 + 0*t + 0 - 1/2*t**4.
-t**3*(t + 35)/2
Let t be 21/117 - (-8)/(-128)*0. Let n(q) be the second derivative of -t*q**3 + 6*q + 0 + 11/78*q**4 + 1/13*q**2 - 1/26*q**5. Solve n(a) = 0 for a.
1/5, 1
Let r = 22335 + -1250727/56. Let i = r + -5/56. Solve 1/2*c**2 + 1/6*c**4 + i*c**3 + 0 + 1/6*c = 0 for c.
-1, 0
Let m(n) = -6*n**3 - 26*n**2 - 32*n - 8. Let x = -244 + 248. Let d(z) = 6*z**3 + 26*z**2 + 32*z + 8. Let j(g) = x*m(g) + 6*d(g). Factor j(l).
4*(l + 2)**2*(3*l + 1)
Let z(f) be the first derivative of f**7/63 + f**6/45 - f**5/30 - f**4/18 - 20*f + 5. Let o(w) be the first derivative of z(w). Let o(u) = 0. Calculate u.
-1, 0, 1
Find o such that 304/11*o + 930/11 - 2/11*o**2 = 0.
-3, 155
Let r(x) be the second derivative of 4 - 9*x**2 - 7*x - 5/2*x**4 + 23/2*x**3. Factor r(f).
-3*(f - 2)*(10*f - 3)
Let h(a) be the first derivative of 27/2*a**4 + 0*a + 112*a**3 - 196*a**2 + 2/5*a**5 - 171. Determine y so that h(y) = 0.
-14, 0, 1
Let n(w) be the third derivative of w**8/168 - 3*w**7/35 + 9*w**6/20 - 23*w**5/30 - 2*w**4 + 12*w**3 - 5500*w**2. Suppose n(r) = 0. Calculate r.
-1, 2, 3
Determine p, given that -8406*p**2 + 72 + 8196*p**2 - 36 - 57*p = 0.
-4/7, 3/10
Let a = 585 + -405. Suppose -s + 65 = -3*d, 5*d = -5*s + a + 145. Factor 2 - 28 + 6 + 35*u**3 + s*u + 130*u**2 - 10.
5*(u + 1)*(u + 3)*(7*u - 2)
Determine p so that -1/3*p + 0 - 25*p**3 + 76/3*p**2 = 0.
0, 1/75, 1
Let o(m) be the second derivative of m**6/15 - 19*m**5/5 + 107*m**4/2 - 204*m**3 - 972*m**2 + 5103*m. Factor o(w).
2*(w - 27)*(w - 6)**2*(w + 1)
Let i(w) be the third derivative of w**5/20 + 19*w**4/8 - 390*w**3 - 12*w**2 - 106*w - 1. Determine n, given that i(n) = 0.
-39, 20
Suppose 53 = -2*b + 37. Let c be ((-21)/(-36) - 0) + 2/b. Solve -4/3 + 1/3*v**3 + 4/3*v**2 - c*v = 0.
-4, -1, 1
Determine c so that -96*c**2 - 302*c + 4*c**3 + 8*c**3 - 61 - 118 - 25 - 10*c**3 = 0.
-2, -1, 51
Suppose 34*t = -t + 70. Suppose 22*r**t + 0*r**2 + 6*r**2 - 4*r**3 = 0. Calculate r.
0, 7
Let t(o) be the first derivative of 2*o**6/15 + 24*o**5/25 + o**4/5 - 32*o**3/5 + 32*o**2/5 - 850. Factor t(s).
4*s*(s - 1)**2*(s + 4)**2/5
Let j(v) be the first derivative of 416*v**5 - 7145/3*v**3 + 1190*v**2 + 80/3*v**6 - 99 - 245*v + 2825/2*v**4. Determine t so that j(t) = 0.
-7, 1/4, 1/2
Let w(y) be the third derivative of y**5/12 - 125*y**4/8 - 195*y**3 + 318*y**2 + 7*y. Let w(i) = 0. Calculate i.
-3, 78
Let v(c) be the first derivative of -c**3/15 - 27*c**2/5 + 112*c/5 + 722. Let v(k) = 0. What is k?
-56, 2
Let k = -10084 - -10087. Factor 38/5*n + 2/5*n**k - 18/5 - 22/5*n**2.
2*(n - 9)*(n - 1)**2/5
Let g(v) be the first derivative of v**4/18 - 20*v**3/9 + 239*v**2/9 - 140*v/3 - 5188. Factor g(j).
2*(j - 15)*(j - 14)*(j - 1)/9
Let a(r) = -16*r**3 - 7*r**2 + 3*r + 5. Let t(d) = -9*d**3 - 3*d**2 + 3. Let k(n) = -3*a(n) + 5*t(n). Factor k(q).
3*q*(q - 1)*(q + 3)
Suppose -4*x - 6*n + 62 = 0, -x + 2*n - 36 + 20 = 0. Factor -1/4*r**5 + 3/4*r**3 + 1/2*r**4 - r**x - r + 0.
-r*(r - 2)**2*(r + 1)**2/4
Let t(p) be the third derivative of p**9/16128 + p**8/40320 - 19*p**5/30 + 2*p**2 + 17. Let f(z) be the third derivative of t(z). Solve f(h) = 0.
-2/15, 0
Let j(q) = 17*q + 17. Let x be j(4). Factor 37*v - 33*v**2 + 30*v - x*v.
-3*v*(11*v + 6)
Let t = -1156411/5624 + 1645/8. Let i = t - -697/1406. Factor i*g**2 - g - 3/2.