*i**3 = 0. What is i?
-4, -1, 2/7
Let d be (-1)/(((-308)/455)/11). Let z = d + -447/28. Factor -2/7*s**4 + 0 + 2/7*s**3 - 2/7*s + z*s**2.
-2*s*(s - 1)**2*(s + 1)/7
Let w be -12 - ((-347)/23 - 252/(-2898)). Let 3*i**2 - 3/2*i**5 + 3/2*i**4 + 9*i**w - 15/2*i - 9/2 = 0. Calculate i.
-1, 1, 3
Let z = -658 - -1299. Let f = -636 + z. Factor 10/13*b**3 + 0*b - 8/13*b**4 + 2/13*b**f - 4/13*b**2 + 0.
2*b**2*(b - 2)*(b - 1)**2/13
Let y(l) be the second derivative of -l**7/6615 + 7*l**6/1080 - l**5/105 - 119*l**4/12 + 13*l + 2. Let q(n) be the third derivative of y(n). Factor q(d).
-2*(d - 12)*(4*d - 1)/21
Factor -21847 - 468 - 44658 + 1993 + 1140*c - 5*c**2.
-5*(c - 114)**2
Let q be -4 - (-44 + 0 + 1). Suppose -5*m - 12 = s - q, m = -4*s + 13. Factor 6*v**3 - 2*v**3 - 2*v**s + 3*v**2 - 4*v - 1.
(v - 1)*(v + 1)*(4*v + 1)
Let r(d) = 170*d**2 - d. Let z be r(1). Let w = -841/5 + z. Determine f, given that f**3 + w*f + 0 - 8/5*f**2 - 1/5*f**4 = 0.
0, 1, 2
Let s = 1557 + -1555. Let o be (-48)/(-18)*((-7)/14 + s). Determine v so that 0 - 2/5*v + 2/5*v**o - 2/5*v**2 + 2/5*v**3 = 0.
-1, 0, 1
Let m(i) be the second derivative of -i**6/120 - 31*i**5/40 - 121*i**4/48 - 5*i**3/2 + 1272*i - 3. Factor m(k).
-k*(k + 1)**2*(k + 60)/4
Let k be -4*(-3)/(-78) + 24012/(-2106) + 12. Let q be 3 - (1 - (-258)/(-27)). Factor -676/9 - q*g - k*g**2.
-4*(g + 13)**2/9
Suppose -7*j = -4*y + 11, j + 29 = 98*y - 94*y. Find k, given that 1/2*k**4 + k + 5/2*k**2 + 0 + 2*k**j = 0.
-2, -1, 0
Let d(f) be the third derivative of f**7/1260 - f**6/144 + f**5/120 + 5*f**4/144 - f**3/9 + 785*f**2. Suppose d(c) = 0. Calculate c.
-1, 1, 4
Determine r, given that 1/6*r**3 + 5/6*r**2 + 1/2 + 7/6*r = 0.
-3, -1
Let x(j) be the second derivative of 1/70*j**5 + 36*j + 1/3*j**4 - 2*j**2 - 1/21*j**3 - 1. Factor x(w).
2*(w - 1)*(w + 1)*(w + 14)/7
Let w = 37915/9 - 4230. Let q = w - -161/9. Factor -10/3*j**2 - 14/3*j - q*j**3 - 2.
-2*(j + 1)**2*(j + 3)/3
Let x be 145/29 - 13189/2640. Let d(s) be the third derivative of 0 + 6*s + 5/96*s**4 - s**2 - 1/6*s**3 - x*s**5. Find l, given that d(l) = 0.
1, 4
Let w(g) = 3*g**5 - g**4 - 4*g**3 - 4*g - 4. Let l(f) = 9*f**3 - 7*f + f**4 + 1 - 8*f**3 - f**5 + 8*f. Let v(x) = -12*l(x) - 3*w(x). Factor v(a).
3*a**4*(a - 3)
Let v(y) be the third derivative of -14*y**2 + 0*y + 0 - 1/100*y**6 + 0*y**3 - 1/105*y**7 + 1/30*y**5 + 1/210*y**8 - 1/60*y**4. Suppose v(k) = 0. Calculate k.
-1, 0, 1/4, 1
Factor 107*v**3 + 206*v**3 - 318*v**3 + 5354*v**2 + 1271*v**2.
-5*v**2*(v - 1325)
Suppose 5*k = 3*o - 52 - 53, -4*k - 5*o - 84 = 0. Let p = -18 - k. Factor 3*t**3 - 2*t**3 - 3*t**3 + 3*t + 4 + p*t.
-2*(t - 2)*(t + 1)**2
Let l be -6*(-140)/(-10)*(-5 - -1). Let i be ((-3)/(-2))/(126/l). Solve 8/13*a**3 + 10/13*a**2 + 4/13*a + 0 + 2/13*a**i = 0.
-2, -1, 0
Suppose -252 = -26*t - 10*t. Let n be (-2 + t - 9) + 72/16. What is y in -5/2*y - 1 - n*y**2 + 3/2*y**4 + 5/2*y**3 = 0?
-1, -2/3, 1
Let d(k) be the third derivative of 1/20*k**5 - 4*k**4 - 33/2*k**3 - 4 + k**2 + 0*k. Find s such that d(s) = 0.
-1, 33
Let i(z) = 3*z**2 - 2*z - 23. Let h(x) = x**2 - x - 8. Let l(g) = 17*h(g) - 6*i(g). Let t be l(-5). Find r, given that 4*r**2 + 0*r + t*r - 33 + 31 = 0.
-1, 1/2
Let f(k) be the second derivative of k**4/20 + 17*k**3/10 + 63*k**2/5 - 105*k - 4. Factor f(x).
3*(x + 3)*(x + 14)/5
Let f(b) = -2*b**3 - 2*b**2 + 13*b + 5. Let a be (-6)/(1 + -8 + 9). Let z be f(a). Factor -16/5*u + 1/5*u**z + 64/5.
(u - 8)**2/5
Let g(p) be the first derivative of 9/2*p**4 + 18*p**2 + 3/5*p**5 + 39 + 12*p + 13*p**3. Let g(u) = 0. Calculate u.
-2, -1
Let d be (-2)/(-5) - (-1146)/10. Let c = d - 112. Solve 7*n**4 - 9*n**4 - c*n + n**5 + 3*n = 0.
0, 2
Let c(r) be the third derivative of r**8/504 + 2*r**7/105 + 2*r**6/45 - r**5/15 - r**4/4 + 1700*r**2. Let c(y) = 0. What is y?
-3, -1, 0, 1
Let w(h) be the third derivative of -h**7/630 + 31*h**6/180 - 73*h**5/45 + 67*h**4/12 - 19*h**3/2 - 146*h**2 - 1. Factor w(y).
-(y - 57)*(y - 3)*(y - 1)**2/3
Let w(v) be the first derivative of 0*v**3 - 1/18*v**6 + 0*v**2 - 1/15*v**5 + 8 + 0*v + 1/6*v**4. Factor w(q).
-q**3*(q - 1)*(q + 2)/3
Let v = 33 - 23. Suppose 79*b = 18 + 377. Find i such that 16*i**3 + v + 4*i**4 - 12*i**4 + i**b - 10 = 0.
0, 4
Determine i so that -292*i**2 - 9*i**3 + 13455*i + 28566 + 5*i**3 + 7*i**3 - 116*i**2 = 0.
-2, 69
Let b(l) be the third derivative of -l**7/2310 - 7*l**6/220 - 47*l**5/60 - 133*l**4/22 - 722*l**3/33 + 61*l**2 - 2. Factor b(j).
-(j + 2)**2*(j + 19)**2/11
Solve -4/3*g**2 - 464/3*g - 1284 = 0.
-107, -9
Let b be -43 + 1 + 37 - (-2 + 4 + -3 + -4). Factor -2/5*m**3 + b - 4/5*m + 6/5*m**2.
-2*m*(m - 2)*(m - 1)/5
Let w(v) be the first derivative of -104/3*v**2 - 58 + 64*v + 1/15*v**5 + 28/3*v**3 - 5/4*v**4. What is y in w(y) = 0?
3, 4
Factor 743/4*j + 1/8*j**2 + 552049/8.
(j + 743)**2/8
Let c be (30 + 27 + -57)/(-9). Factor -98/17*n**2 + 26/17*n**4 + 0*n + c + 2/17*n**5 + 70/17*n**3.
2*n**2*(n - 1)*(n + 7)**2/17
Let l(z) be the third derivative of z**7/525 - 23*z**6/100 - z**5/150 + 23*z**4/20 - 32*z**2 + 22*z. Find p, given that l(p) = 0.
-1, 0, 1, 69
Suppose -938 - 1246 = -26*d. Let 63*q**2 - d*q**2 + 3*q**3 + 195*q**2 = 0. Calculate q.
-58, 0
Suppose 7*s - 22 = 2*s - 4*r, -2*s + 2*r = 2. Solve 3157*o - 6*o**3 + 15955 + 240*o**s + 4525 + 11*o**3 + 683*o = 0 for o.
-16
Suppose 34*p - 166 - 4 = 0. Let w(t) be the first derivative of t**2 + 15 - 3/2*t**4 + 0*t**3 + 0*t + 4/5*t**p. Factor w(b).
2*b*(b - 1)**2*(2*b + 1)
Let b be -6 - (-136)/51 - (-2)/6 - -13. Let d(g) be the second derivative of b*g + 4/9*g**3 - 4/3*g**2 + 0 - 1/18*g**4. Factor d(p).
-2*(p - 2)**2/3
Suppose -52 - 116 + 28 = -28*c. Find k, given that -2/7 + 0*k**2 - 3/7*k**c + 10/7*k**4 + 5/7*k - 10/7*k**3 = 0.
-2/3, 1
Let f(d) be the second derivative of -5*d**7/42 + d**6/2 + 9*d**5/4 - 155*d**4/12 + 90*d**2 - 324*d - 4. Determine b so that f(b) = 0.
-3, -1, 2, 3
Let g = -112387 - -224775/2. Factor -1/2*w + 3 - g*w**3 - 2*w**2.
-(w - 1)*(w + 2)*(w + 3)/2
Let r be (-23)/2*(1 - 3). Let a be 8/(3 - 5)*4/(-8). Determine m, given that -80 - r*m - 16*m - m - 5*m**a = 0.
-4
Let b(h) be the second derivative of h**5/4 + 365*h**4/6 + 715*h**3/6 - 725*h**2 + 5*h + 135. Let b(u) = 0. Calculate u.
-145, -2, 1
Suppose 167*d**3 + 622/3*d**2 + 128/3*d**4 + 0 + 1/3*d**5 + 248/3*d = 0. Calculate d.
-124, -2, -1, 0
Let i(o) be the third derivative of -3*o - 15*o**2 + 1/3*o**4 + 1/105*o**7 + 1/3*o**3 + 0 - 2/15*o**6 + 1/42*o**8 - 1/15*o**5. Determine n so that i(n) = 0.
-1, -1/4, 1
Let y be 3 - ((-90)/(-80) + (-2)/16). Factor -1556*t**4 + 1561*t**4 - 180*t - 50*t**3 + 80 + 74*t**2 + 91*t**y - 20*t.
5*(t - 4)**2*(t - 1)**2
Let m(p) be the first derivative of -5*p**2 + 0*p + 0*p**3 + 5/24*p**4 - 1/12*p**5 - 17. Let u(v) be the second derivative of m(v). Let u(w) = 0. What is w?
0, 1
Let w(b) be the second derivative of -b**4/6 + 1082*b**3/21 - 88*b**2 - b - 657. Factor w(l).
-2*(l - 154)*(7*l - 4)/7
Let n(g) = -15*g + 44. Let t(o) = -3*o + 9. Let q(s) = 2*n(s) - 11*t(s). Let l be q(5). Let -l*m - m**3 + 12*m**3 - 7*m**3 + 2 - 2*m**4 = 0. What is m?
-1, 1
Suppose 2*p - 3*z - 2*z - 77 = 0, -4*z = 12. Determine h so that p*h**2 - 22*h**2 - 8 - 98*h**4 + 97*h**2 = 0.
-1, -2/7, 2/7, 1
Let w = 71/300 + 49/300. Factor 2/5*s**2 - w*s**4 + 0 + 2/5*s - 2/5*s**3.
-2*s*(s - 1)*(s + 1)**2/5
Let v(q) be the third derivative of q**5/210 + 19*q**4/6 - 536*q**3/21 - 2071*q**2. Determine y, given that v(y) = 0.
-268, 2
Let x be 21/14 - (-3 - (-9)/(-2)). Factor 8*r - 2*r**3 - 3*r**2 + x*r**2 - 2*r**3 - 2*r**2.
-4*r*(r - 2)*(r + 1)
Let u = -18/221 + 252/221. Suppose 0 = -841*n + 870*n - 87. Solve 2/17*t**5 + 10/17*t**4 + 0 + 14/17*t**2 + 4/17*t + u*t**n = 0.
-2, -1, 0
Let y(a) be the third derivative of a**6/40 + 61*a**5/10 - 247*a**4/8 + 62*a**3 + a**2 + 2147*a. Factor y(w).
3*(w - 1)**2*(w + 124)
Suppose -15/4*p**3 + 0*p + 3/2*p**4 - 9/2*p**2 + 3/4*p**5 + 0 = 0. Calculate p.
-3, -1, 0, 2
Determine b so that -104*b - 507 - 28*b**2 + 5 + 67 - 26*b + 33*b**2 = 0.
-3, 29
Let m(f) be the second derivative of 0*f**6 + 1/15*f**3 - 4*f + 0*f**2 + 1/105*f**7 + 0*f**4 - 6 - 1/25*f**5. Factor m(i).
2*i*(i - 1)**2*(i + 1)**2/5
Suppose 0*n**2 + 246/5*n**4 + 0*n + 0 + 48*n**3 + 6/5*n**5 = 0. Calculate n.
-40, -1, 0
Find x, gi