= -3*r**3 - 2*r**2 - 2*r - 2. Let u(k) = k**5 - 167*k**4 + 681*k**3 - 304*k**2 - 637*k + 507. Let w(l) = -36*j(l) - 4*u(l). Let w(z) = 0. What is z?
-1, 1, 3, 163
Let l(w) be the first derivative of 3/20*w**4 - 36/5*w + 1/30*w**6 + 9/25*w**5 + 48/5*w**2 - 38 - 73/15*w**3. Factor l(x).
(x - 1)**3*(x + 6)**2/5
Suppose 20*i - 544 = 7136. Let -256*d - 81 + 81 + 48*d**4 - 208*d**3 + i*d**2 - 4*d**5 = 0. Calculate d.
0, 2, 4
Let r(f) be the first derivative of f**7/560 + f**6/240 - f**5/80 - f**4/16 + 13*f**3/3 - f**2 + 42. Let g(l) be the third derivative of r(l). Factor g(n).
3*(n - 1)*(n + 1)**2/2
Let -4/7*i**3 + 2496/7 - 12*i**2 - 32*i = 0. Calculate i.
-13, -12, 4
Solve -9*k**2 + 25506*k**5 - 25502*k**5 + 0*k + 32*k**4 - 23*k**2 - 48*k + 44*k**3 = 0.
-6, -2, -1, 0, 1
Let u(p) be the third derivative of 0 - 126*p**2 + 7/72*p**4 + 0*p - 4/9*p**3 + 1/180*p**5. Find h such that u(h) = 0.
-8, 1
Let d(i) = -2*i**2 - 184*i - 3652. Let l be d(-29). Suppose 3*b - 6/5 + 6/5*b**5 + 3/5*b**4 - 21/5*b**3 + 3/5*b**l = 0. What is b?
-2, -1, 1/2, 1
Let l be (-4)/5 + 176/(-55). Let s be (-354)/120*l + -7. Factor 3/5*d**2 + 48/5 - s*d.
3*(d - 4)**2/5
Let s = 593 - 593. Let n(i) be the third derivative of 25/6*i**3 + 0 + 5/12*i**4 - 19*i**2 + s*i + 1/60*i**5. Determine t, given that n(t) = 0.
-5
Let g(v) = -v**2 + 3*v + 118. Let x be g(12). Factor -x*r + 2*r**2 - 14*r**2 + 0 + 3 - r**2.
-(r + 1)*(13*r - 3)
Let k(a) be the first derivative of -139 - 1/7*a**2 + 0*a + 1/14*a**4 + 1/21*a**3 - 1/35*a**5. Let k(f) = 0. What is f?
-1, 0, 1, 2
Let a(r) = 44*r**2 - 6*r + 6. Let y be a(1). Suppose -31 = -m + y. Let -3/5*i**3 - 9*i**2 - m - 45*i = 0. Calculate i.
-5
Suppose 341 = 183*u - 391. Let h(f) be the third derivative of -3/4*f**3 - 1/48*f**5 + 47/96*f**u + 0*f + 0 + 23*f**2. Factor h(m).
-(m - 9)*(5*m - 2)/4
Let t(o) be the first derivative of -o**6/14 + 9*o**5/35 + 3*o**4/28 - 3*o**3/7 + 9460. Solve t(x) = 0.
-1, 0, 1, 3
Let b be (8/28)/(1/7). Factor -31 - 2*g**3 + 20 - 66*g - 61 - 20*g**b.
-2*(g + 3)**2*(g + 4)
Let h = -67134 - -67146. Find z, given that h + 66/5*z + 6/5*z**2 = 0.
-10, -1
Suppose 142*f = -9*f - 233*f + 1152. Determine w, given that 0 + 0*w - 2/21*w**f - 2/21*w**2 = 0.
-1, 0
Let u(h) = -3*h - 10. Let x be u(0). Let d be (11 + x)/(6/15). Let -1 + 2*f**4 - 1/2*f**5 + d*f - f**2 - 2*f**3 = 0. What is f?
-1, 1, 2
Let t(u) be the first derivative of u**4/4 + 3*u**3 - 23*u**2/2 - 8*u - 408. Let o be t(-11). Find q, given that 0*q - 1/4*q**4 + 1/2*q**o + 0*q**2 + 0 = 0.
0, 2
Let q(t) be the second derivative of -t**4/30 + 58*t**3/15 - 841*t**2/5 - 731*t. Suppose q(l) = 0. What is l?
29
Let z(f) be the first derivative of 3*f**5/40 + 27*f**4/32 + 5*f**3/2 + 2407. Factor z(d).
3*d**2*(d + 4)*(d + 5)/8
Let 20*n**3 + 6836 - 6836 + 209*n - n**4 + 217*n**2 - 13*n**3 + 0*n**4 = 0. What is n?
-11, -1, 0, 19
Let p(t) be the third derivative of t**6/48 - 248*t**5 + 1230080*t**4 - 9761914880*t**3/3 - 1994*t**2. Let p(d) = 0. What is d?
1984
Let o(a) be the first derivative of 70*a**3/3 + 53*a**2 + 36*a + 4021. Solve o(b) = 0.
-1, -18/35
Let g(z) = 60*z**4 - 96*z**3 - 4*z**2 + 108*z - 36. Let m(d) = -d**5 - d**4 - d**2 - 2*d - 3. Let w(j) = -g(j) - 4*m(j). Factor w(l).
4*(l - 12)*(l - 1)**3*(l + 1)
Let x(p) = -12*p**3 - 2*p**2 - 6*p - 5. Let c be x(-1). Suppose -c*v + 4 = 4. Factor v*h - h**3 + 8*h**2 - 9*h + 2*h.
-h*(h - 7)*(h - 1)
Let p(i) = 98*i**3 + 52*i**2 - 474*i + 432. Let k(u) = -11*u**3 - u**2 - u + 1. Let s(o) = 18*k(o) + 2*p(o). Let s(a) = 0. What is a?
1, 21
Let m(x) be the third derivative of 2*x - 2/3*x**3 + 0 - 1/8*x**4 - 5*x**2 + 1/60*x**5. What is t in m(t) = 0?
-1, 4
Suppose 0 = 9*q - 161 - 199. Let o(u) be the second derivative of 20*u**2 - 7/5*u**5 - 46/3*u**3 + 0 + q*u - 40/3*u**4. Factor o(k).
-4*(k + 1)*(k + 5)*(7*k - 2)
Suppose -2*h = -5*g + 347, -3*g + 169*h - 168*h + 208 = 0. Suppose 0 = -g*m + 74*m - 25. Factor 0*a + 0 - 3/5*a**3 + 3/5*a**m + 3/5*a**4 - 3/5*a**2.
3*a**2*(a - 1)*(a + 1)**2/5
Let f be 70/(-4) - (-2)/(-4). Let o be -1 - -3*(-24)/f. Factor 48 + 39 - 2*g**2 - 87 + 2*g**o.
2*g**2*(g - 1)
Find s, given that 3/4 + 21/4*s**2 - 16*s = 0.
1/21, 3
Let z(c) be the second derivative of 7/135*c**6 + c + 13/45*c**5 + 4/27*c**3 + 1/2*c**4 + 75 - 4/9*c**2. Determine r so that z(r) = 0.
-2, -1, 2/7
Let p(z) = 927*z + 89. Let r be p(1). Let g = r - 1014. Determine s, given that s**3 - 3/5*s**4 + 0 - 2/5*s**g + 0*s = 0.
0, 2/3, 1
Let s(u) be the first derivative of -26*u**3 - 23*u**2/4 + 3*u/2 + 11138. Let s(z) = 0. What is z?
-3/13, 1/12
Let x(h) be the third derivative of h**7/2205 - h**6/28 - h**5/210 + 137*h**4/252 - 10*h**3/7 - 517*h**2. Let x(o) = 0. What is o?
-2, 1, 45
Let k(b) be the first derivative of 3*b**5/5 - 3*b**4/4 - 59*b**3 - 333*b**2/2 - 162*b + 222. Let k(h) = 0. Calculate h.
-6, -1, 9
Let f be (5 - 3) + -1 - -1. Suppose 4*l + f*h + 2*h - 24 = 0, l + 5*h - 14 = 0. Let 20*q + 109*q**l - 20*q**2 - 104*q**4 - 7*q**3 + 2*q**3 = 0. What is q?
-2, 0, 1, 2
Let v(c) be the second derivative of -1/180*c**6 + 11/72*c**4 + 6*c**2 - 74*c + 0 + 11/6*c**3 - 1/30*c**5. Factor v(a).
-(a - 4)*(a + 2)*(a + 3)**2/6
Let j = 539117/2 - 269543. Let -7/2*y**2 - 15 + j*y = 0. Calculate y.
10/7, 3
Let k be ((-4)/14 + (-2916)/84)*-1. Find o such that -k*o**2 + 22 - 515*o + 37 + 91 = 0.
-15, 2/7
Factor -57/4*o**3 + 123/4*o - 45/2 + 6*o**2.
-3*(o - 1)**2*(19*o + 30)/4
Factor -342*w**2 - 305 + 79*w**3 - 591*w**2 - 2182*w - 179 - 87*w**3 - 53*w**2.
-2*(w + 2)*(w + 121)*(4*w + 1)
Let r(y) be the third derivative of 19*y**6/160 + 229*y**5/240 + 29*y**4/12 + y**3/6 + y**2 + 87*y. Solve r(k) = 0 for k.
-2, -1/57
Let b(a) be the first derivative of -7*a**6/48 - 73*a**5/40 - 19*a**4/32 + 113*a**3/24 + 13*a**2/8 - 5*a - 542. Let b(r) = 0. What is r?
-10, -1, 4/7, 1
Suppose -737*v = -910*v + 346. Find l such that 0 - 3/2*l - 1/4*l**v = 0.
-6, 0
Let r(x) be the second derivative of -31 - 9*x**4 + 3/2*x**5 - 81/2*x**2 + 27*x**3 - 1/10*x**6 - x. What is t in r(t) = 0?
1, 3
Let m(d) be the third derivative of d**10/105840 - d**9/8820 - d**8/3360 + 31*d**4/24 + 34*d**2. Let t(i) be the second derivative of m(i). Factor t(u).
2*u**3*(u - 7)*(u + 1)/7
Let q(l) be the second derivative of -5/18*l**4 + 0*l**2 + 19/36*l**3 - 17 + l + 1/120*l**5. Determine k so that q(k) = 0.
0, 1, 19
Let g be 4472/129 - (-168)/(-189). Let 32/9 + 722/9*d**2 - g*d = 0. Calculate d.
4/19
Suppose -3*a - 17*a = -120. Let p(c) be the third derivative of -11*c**2 + 0*c**5 + 0 + 0*c + 0*c**3 + 1/1140*c**a - 1/228*c**4. Factor p(k).
2*k*(k - 1)*(k + 1)/19
Let z = -22225 - -88901/4. Solve 1/4*n**5 + 0 - z*n**3 + 0*n + 1/4*n**2 - 1/4*n**4 = 0 for n.
-1, 0, 1
Let o(l) be the second derivative of -l**7/14 + 42*l**6/5 + 129*l**5/10 - 21*l**4 - 85*l**3/2 + 1354*l. Solve o(h) = 0.
-1, 0, 1, 85
Let l(t) be the third derivative of 0*t + 2 + 1/630*t**7 + 1/36*t**5 + 0*t**3 + 25*t**2 - 1/90*t**6 - 1/36*t**4. Suppose l(z) = 0. What is z?
0, 1, 2
Let w = 580/21 + -1153/42. Determine h so that 1/6*h**5 + 1/6*h**4 + 1/6 - 1/3*h**3 + w*h - 1/3*h**2 = 0.
-1, 1
Let i = -164 - -148. Let f be i/(-6)*21/28. Factor 3/2*c**3 + 21/2*c - 9/2 - 15/2*c**f.
3*(c - 3)*(c - 1)**2/2
Let f(q) be the second derivative of q**6/120 + 31*q**5/40 - 11*q**3 + 177*q. Let y(o) be the second derivative of f(o). Solve y(u) = 0.
-31, 0
Let t(v) = 6*v**2 - 70*v - 76. Let l(g) = 4*g**2 - 71*g - 75. Let c(p) = 8*l(p) - 7*t(p). Factor c(y).
-2*(y + 1)*(5*y + 34)
Factor -199 + 8*w**4 - 328*w**3 - 51*w + 1177 - 6*w**4 + 316*w**2 + 1675*w.
2*(w - 163)*(w - 3)*(w + 1)**2
Let c(m) be the second derivative of -m**4/48 + 2*m**3/3 + 33*m**2/2 - 3156*m. Factor c(i).
-(i - 22)*(i + 6)/4
Let p = -259672 - -1817705/7. Solve p*j**4 + 0*j + 3/7*j**3 + 0 + 2/7*j**2 = 0 for j.
-2, -1, 0
Let w = 3395023/2 + -1697511. Find a, given that -62*a - w*a**2 - 1922 = 0.
-62
Let x(z) be the third derivative of -1/12*z**5 + 1/24*z**6 - 5/24*z**4 + 1/42*z**7 + 2*z**2 + 0*z**3 + 53 + 0*z. Factor x(i).
5*i*(i - 1)*(i + 1)**2
Let m(s) be the first derivative of -s**4/4 + 10*s**3/3 + 1127*s**2/2 - 19044*s + 2983. Let m(a) = 0. Calculate a.
-36, 23
Let l(z) be the third derivative of -z**5/24 + 15*z**4/16 - 25*z**3/3 - 925*z**2. Suppose l(q) = 0. Calculate q.
4, 5
Let w(