1/4*z**2 = 0. Calculate z.
5, 29
Let -4176/11*u + 1192/11 + 14/11*u**2 = 0. What is u?
2/7, 298
Let t be (29214/(-945) - -31)/(12/98). Let x(o) be the first derivative of -7 + 0*o + 0*o**2 - 1/3*o**3 - t*o**5 + 9/8*o**4. Suppose x(k) = 0. Calculate k.
0, 2/7, 1
Factor -4086*y**2 - 950*y + 225*y - 5320 + 8179*y**2 - 4088*y**2.
5*(y - 152)*(y + 7)
Let b(t) be the second derivative of -2*t**7/21 - 264*t**6/5 + 2*t**5/5 + 264*t**4 - 2*t**3/3 - 792*t**2 - 6759*t. Determine n so that b(n) = 0.
-396, -1, 1
Factor 3/2*w**5 + 1875/2*w**4 + 53218458 + 28159245/2*w**2 + 393105/2*w**3 + 53989740*w.
3*(w + 2)**2*(w + 207)**3/2
Let h be -2 + (3 + -5)*-71. Suppose 5*w - h = -2*w. Factor -11*d**2 + 5*d + w*d**2 - 4*d**2.
5*d*(d + 1)
Factor -92/3*z**3 - 280/3*z - 1/6*z**4 + 93*z**2 + 187/6.
-(z - 1)**3*(z + 187)/6
Let u(q) be the first derivative of -q**6/39 - 8*q**5/65 - 2*q**4/13 + 4*q**3/39 + 5*q**2/13 + 4*q/13 + 3197. Find w, given that u(w) = 0.
-2, -1, 1
Let j(n) be the second derivative of 1/7*n**3 + 1/42*n**4 + 0 - 3/70*n**5 + 50*n - 2/7*n**2 + 1/105*n**6. Solve j(v) = 0.
-1, 1, 2
Let m(k) = -14*k + 18*k + 11*k - 45 + 8*k + 32*k + 10*k**2. Let p(l) = 13*l**2 + 56*l - 45. Let j(r) = 6*m(r) - 5*p(r). Factor j(a).
-5*(a - 9)*(a - 1)
Factor -402 + 402 + 310*s**3 - 112*s**3 - 3*s**4.
-3*s**3*(s - 66)
Let f(c) be the third derivative of -c**6/840 + 493*c**5/420 - 35*c**4/3 + 326*c**3/7 - 10741*c**2. Factor f(o).
-(o - 489)*(o - 2)**2/7
Let s(z) = z**3 - 28*z**2 - 2503*z + 6372. Let j be s(65). Let 11/3*f**3 - 9*f + 0 + 5*f**j + 1/3*f**4 = 0. Calculate f.
-9, -3, 0, 1
Let t(j) be the third derivative of 0 + 9*j**2 + j + 13/4*j**4 - 1/20*j**5 - 169/2*j**3. Factor t(z).
-3*(z - 13)**2
Let b(l) be the first derivative of 0*l**2 + 1/6*l**3 + 1/20*l**5 + 1/6*l**4 - 32 - 28*l. Let h(m) be the first derivative of b(m). Suppose h(u) = 0. What is u?
-1, 0
Let q(c) be the second derivative of -2*c**7/21 - 8*c**6/15 + 12*c**5/5 + 18*c**4 - 18*c**3 - 324*c**2 + c - 367. Determine x so that q(x) = 0.
-3, 2, 3
Suppose -812/3*b - 164836/3 - 1/3*b**2 = 0. What is b?
-406
Let n = -69 - -53. Let t = 16 + n. Factor 2/5 + 0*b - 4/5*b**2 + 2/5*b**4 + t*b**3.
2*(b - 1)**2*(b + 1)**2/5
Suppose 32/3*g - 68/3 + 1/3*g**2 = 0. Calculate g.
-34, 2
Let r(l) = -2*l**2 + 14*l + 5. Let i be r(7). Let 2 - 2*p**3 - 20*p + 8*p**4 + i*p**3 + 3*p**3 - 10*p**2 + 35*p - 21*p = 0. Calculate p.
-1, 1/4, 1
Let z(r) be the first derivative of -3*r**5/10 - 79*r**4/4 - 959*r**3/6 - 453*r**2 - 414*r - 5211. Solve z(p) = 0 for p.
-46, -3, -2/3
Factor 0 + 227/5*f - 1/5*f**2.
-f*(f - 227)/5
Let n(u) be the third derivative of 0*u - 1/15*u**6 + 0*u**4 + 6/35*u**7 + 0*u**5 + 59*u**2 + 0*u**3 + 0. Factor n(w).
4*w**3*(9*w - 2)
Let s(r) be the first derivative of r**5/270 - 23*r**4/54 + 529*r**3/27 + 6*r**2 + r - 23. Let l(w) be the second derivative of s(w). Factor l(k).
2*(k - 23)**2/9
Suppose 4*l = -2*z + 24, 3*l = 4*z - 2*l + 4. Let h be 2 + 1 + -4 + z. Factor -3 - 6*t**5 + h + 15*t**4 + 11*t**3 - 17*t**3.
-3*t**3*(t - 2)*(2*t - 1)
Let k(f) = -15*f - 162. Let q be k(-11). Let b(m) be the first derivative of 4*m**2 - 11 - 32*m - 1/6*m**q. Factor b(x).
-(x - 8)**2/2
Let m(b) be the third derivative of -697*b**5/6 - 6965*b**4/24 + 5*b**3/6 - 91*b**2 - 12*b. Factor m(c).
-5*(c + 1)*(1394*c - 1)
Let l be 3/((-493)/68 + 8). Let r(s) be the second derivative of 5/12*s**l + 5/3*s**3 - 1/2*s**5 - 1/6*s**6 + 0 - 16*s + 0*s**2. Determine j so that r(j) = 0.
-2, -1, 0, 1
Determine y so that 84/5 - 1/5*y**2 - 8/5*y = 0.
-14, 6
Let j be (16 + 3 - 12) + (-274)/40. Let w(q) be the second derivative of -j*q**5 + 3/4*q**4 + 0*q**3 + 0*q**2 - 24*q + 0. Factor w(r).
-3*r**2*(r - 3)
Let d(c) = -4*c**2 - 152*c - 16. Let v be d(-39). Let f = 345/2 + v. Factor f*a**5 - a**3 + 25/2 + 23*a**2 - 7/2*a**4 + 65/2*a.
(a - 5)**2*(a + 1)**3/2
Let z(u) be the second derivative of 1/57*u**3 - 1/95*u**5 + 0*u**4 + 1/399*u**7 + 0*u**2 + 11 - u + 0*u**6. Factor z(h).
2*h*(h - 1)**2*(h + 1)**2/19
Suppose -m = 12*m + 6*m. Let c be 6 - (-6 + m + 10). Find j, given that 0*j + 0 - 6/11*j**4 + 0*j**3 + 0*j**c + 4/11*j**5 = 0.
0, 3/2
Factor 2/5*b**3 + 7424/5*b + 20184/5 + 238/5*b**2.
2*(b + 3)*(b + 58)**2/5
Let h(z) be the second derivative of z**5/30 + 19*z**4/9 + 19*z**3/3 - 180*z**2 + 25*z + 17. Factor h(s).
2*(s - 3)*(s + 5)*(s + 36)/3
Suppose 2 - 1 = -v + 2*i, -10 = -5*i. Suppose 5*n - q - 14 = 0, v*n - 5*q - 21 - 5 = 0. Factor -44*j + 50 + 3*j**2 + 25*j - 166*j + 32*j**n.
5*(j - 5)*(7*j - 2)
Let o(a) = -a**3 - 25*a**2 + 27*a - 19. Let l be o(-26). Let i be (-6)/l + (-4 - 931/(-105)). Factor 1/2*p**i + 0*p - 1/2*p**3 + 0 - 1/2*p**4 + 1/2*p**2.
p**2*(p - 1)**2*(p + 1)/2
Let d be (7/(-13 + -1 + 21))/((-2)/(-4)). Let 14/5*o - 2/5*o**d - 4 = 0. What is o?
2, 5
Let s(g) be the first derivative of 0*g + g**3 - 1/3060*g**6 + 1/102*g**4 - 1/1020*g**5 - 24 + 0*g**2. Let r(i) be the third derivative of s(i). Solve r(o) = 0.
-2, 1
Let i(g) = 17*g + 53. Let s be i(-3). Let -f - 115*f**s + 99*f**2 + 5*f - 9*f**3 = 0. What is f?
-2, 0, 2/9
Suppose 3*i - 4 = i. Suppose -2*t - 3*a + 19 = 0, -4*t = -2*a + 1 + 1. Let -6*j - i*j + j**t + 4*j**2 + 3*j = 0. What is j?
0, 1
Let w(l) be the second derivative of -5*l**2 - 3/4*l**5 + 5/2*l**3 + 58*l + 5/12*l**4 + 0 + 1/6*l**6. What is o in w(o) = 0?
-1, 1, 2
Let n = -38 + 37. Let k(j) = -4*j**3 + j**2 + j. Let s be k(n). Solve -20*y - s*y**2 + 5 + 8*y**2 + 19 = 0.
2, 3
Let b(c) be the third derivative of -c**7/2520 + c**6/45 - 89*c**4/24 - 25*c**2 - 2. Let v(o) be the second derivative of b(o). Factor v(j).
-j*(j - 16)
Let s = 6125/22516 - 124/5629. Factor -s*g**2 - 25/2*g - 625/4.
-(g + 25)**2/4
Let c be ((-40)/(-80))/1 + 4. Factor -21/4*f**2 + c*f + 3/2*f**3 + 0.
3*f*(f - 2)*(2*f - 3)/4
Let p be (-18 + (-1600)/(-90))*-2*(-2)/(-12). Let v(r) be the second derivative of 0*r**2 - 1/54*r**4 + 27*r + 0 + p*r**3. Determine z, given that v(z) = 0.
0, 2
Let y(t) = 39*t**3 + 357*t**2 - 3*t - 411. Let p(n) = -11*n**3 - 102*n**2 + n + 117. Let h(j) = -18*p(j) - 5*y(j). Factor h(u).
3*(u - 1)*(u + 1)*(u + 17)
Let a be (-17)/(79560/(-3870)) - 1/13. Let a + 1/4*z**3 + 5/4*z**2 + 7/4*z = 0. What is z?
-3, -1
Let h = 133291/1143 + -14796/127. Determine x so that 55/9*x**2 + h*x**3 - 784/9 + 728/9*x = 0.
-28, 1
Factor 27 - 529*m - 789*m - 27 + 3*m**2 - 155*m.
3*m*(m - 491)
Let z(f) be the second derivative of -5*f**4/48 + 455*f**3/12 + 915*f**2/8 + 401*f. Let z(p) = 0. What is p?
-1, 183
Let 33*g**4 + 11*g**2 - 14*g**3 + 166*g - 79 - 6*g**3 - 149 - 2*g - 32*g**4 = 0. What is g?
-3, 2, 19
Let g(k) be the second derivative of 200*k**7/189 + 112*k**6/27 - 59*k**5/45 + k**4/9 - 713*k. Let g(j) = 0. Calculate j.
-3, 0, 1/10
Let v(h) be the first derivative of -103 + h**3 - 36*h - 3/4*h**4 + 12*h**2. Suppose v(l) = 0. What is l?
-3, 2
Let t(z) = -2*z + 52. Let u be t(26). Suppose -4*o - c + 23 = -6*c, -4*o - c + 5 = u. Factor 339*k - 170*k - 173*k + 2*k**o.
2*k*(k - 2)
Let f(a) be the second derivative of -11 + 2*a**3 + 0*a**2 + 1/3*a**4 + a. Factor f(y).
4*y*(y + 3)
Let c(p) = 0*p**2 + 2*p**2 + 5 + 16*p + 2*p + 0. Let u(z) = 3*z**2 + 26*z + 7. Let d(o) = 7*c(o) - 5*u(o). Factor d(v).
-v*(v + 4)
Let u(p) = -31*p**2 - 1589*p + 1568. Let y(t) = 22*t**2 + 1588*t - 1571. Let i(v) = 3*u(v) + 4*y(v). Suppose i(d) = 0. What is d?
1, 316
Let m = 2242003/7 - 320229. Find w, given that -88/7*w**3 - 880/7*w - m - 564/7*w**2 - 4/7*w**4 = 0.
-10, -1
Let x(f) = -f**3 + 11*f**2 + 25*f + 1. Let c be x(13). Let s be (-13 - c)/((-12)/8). Factor 0 + 4/3*o**2 + 0*o - 2/3*o**4 - s*o**3.
-2*o**2*(o - 1)*(o + 2)/3
Let n be 120/45 + 1/3. Suppose 5*v - 25 = -0. Factor 53*s**5 - v*s**n - 43*s**5 - s**3 - 4*s**3 + 15*s**4.
5*s**3*(s + 2)*(2*s - 1)
Suppose 8*y - 168 = 4*y - 3*i, 0 = -3*y - i + 126. Suppose -100*b - 69*b**4 + 310*b**2 + 72*b**4 + y*b**4 - 231*b**3 + 16*b**3 - 40 = 0. What is b?
-2/9, 1, 2
Factor -42*v + 126*v - 43*v + 4*v**4 - 41*v - 1012*v**3.
4*v**3*(v - 253)
Let k(c) be the second derivative of c**4/4 + 35*c**3 + c - 1333. Find i such that k(i) = 0.
-70, 0
Suppose 20042 = 5*t - j, -4*j + 9*j = t - 4018. Factor -2 - 1960*w**2 + 2 + 4275*w**3 - 3603*w**4 + 220*w + t*w**4.
5*w*(w + 11)*(9*w - 2)**2
Factor -2113 + 4*f**2 - 2119 - 24*f + 4268.
4*(f 