*3 - 595508 + 33708*p - p**3 - 163*p**2.
4*(p - 53)**3
Factor 10404*w**2 + 1/6*w**4 + 18040536 + 68*w**3 + 707472*w.
(w + 102)**4/6
Let c(o) be the first derivative of 5/3*o**3 - 8*o + 127 + 1/4*o**4 + o**2. Let c(t) = 0. What is t?
-4, -2, 1
Let m(w) be the third derivative of -w**6/600 - 43*w**5/100 - 17*w**4/8 - 127*w**3/30 + 47*w**2 - 12*w. Determine r, given that m(r) = 0.
-127, -1
Suppose -u + 369 = -5*p + 3510, 3*p - u = 1883. Let b = p - 4401/7. Determine m so that 0 - 2/7*m**3 + 0*m - b*m**2 = 0.
-1, 0
Let s be (-13)/6*302 + 5/15. Let g = s + 656. Factor -3/4*k**4 + 3/4*k**g - 6*k + 15/4*k**3 - 3/4*k**5 + 3.
-3*(k - 1)**3*(k + 2)**2/4
Let g(p) = -55*p - 462. Let d be g(-6). Let u = -130 - d. Suppose -1/3 - 2/3*h**u - 1/6*h**3 - 5/6*h = 0. Calculate h.
-2, -1
Let w = 3179 - -3918. Solve -7017 - 60*m + 21*m**2 - 101*m**2 + w - 15*m**3 = 0 for m.
-4, -2, 2/3
Let p(n) = -2*n**3 + 13*n**2 - 26. Let w be p(6). Let a be -1 - (-228)/210 - (-2)/w. Suppose -10/7*z**2 + 8/7*z**3 + 0 - a*z**4 + 4/7*z = 0. What is z?
0, 1, 2
Suppose 0*h - 9 = 9*h. Let l(c) = -c**4 - c**3 + c. Let a(w) = -7*w**4 + 33*w**3 - 20*w**2 - w. Let k(d) = h*a(d) - 5*l(d). Factor k(b).
4*b*(b - 1)**2*(3*b - 1)
Let k(x) be the second derivative of 2*x**7/147 + 26*x**6/35 + 72*x**5/7 - 400*x**4/21 - 1214*x - 1. Solve k(v) = 0.
-20, 0, 1
Find p, given that -144*p - 1196 + 4032*p**2 + 4041*p**2 - 8077*p**2 = 0.
-23, -13
Let m = 281/45 + -266/45. What is h in 2*h + 1/3*h**4 + 0 - 4/3*h**3 + m*h**2 = 0?
-1, 0, 2, 3
Suppose -4*k + 16 = -2*k. Suppose 85*p = 87*p - k. Suppose 14*b**2 + 29*b**4 - 64*b**4 - 5 - p*b**2 + 30*b**4 = 0. Calculate b.
-1, 1
Let q(k) = 39*k - 113. Let p be ((-156)/91 - -2) + (-19)/(-7). Let i be q(p). Factor 4/5*l**5 + 0*l**3 + 0 + 4/5*l**i + 0*l**2 + 0*l.
4*l**4*(l + 1)/5
Let d be 20340/(-4746)*(-70)/375. Determine h so that -12/5 + 1/5*h**2 - d*h = 0.
-2, 6
Let d(c) = -44*c - 479. Let w be d(-11). Suppose -w*x = 18*x - 46. Factor 0*a + 4/9*a**x - 16/9.
4*(a - 2)*(a + 2)/9
Determine q so that -12*q**3 + 20*q**2 - 5*q - 2*q**2 + 4*q + 9*q**3 - 32*q + 18 = 0.
1, 2, 3
Let n be 968/(-770)*150/(-165). Factor 12/7*x**3 + 2/7*x**4 - 12/7*x - 10/7 + n*x**2.
2*(x - 1)*(x + 1)**2*(x + 5)/7
Let o(y) be the third derivative of -15/2*y**3 + 0 + y - 11/6*y**5 - 1/3*y**6 - 1/42*y**7 + 59*y**2 - 5*y**4. Suppose o(w) = 0. Calculate w.
-3, -1
Let h be 20*5690/180 - (-2)/2. Let o = -633 + h. Factor -8/9*f**3 + 14/9*f**2 - o - 4/9*f.
-2*(f - 1)**2*(4*f + 1)/9
Let 0*v**2 - 3*v**2 - 14107*v + 14158*v = 0. Calculate v.
0, 17
Let j = -879 + 879. Let l(n) be the first derivative of 0*n**5 + j*n**3 + 24 + 0*n - 1/7*n**2 + 1/7*n**4 - 1/21*n**6. Factor l(p).
-2*p*(p - 1)**2*(p + 1)**2/7
Let r be (20/(-8) + 7)*4/3. Let i(s) be the first derivative of 0*s**2 + 1/9*s**r - 7 + 1/6*s**4 + 0*s + 0*s**3 + 4/15*s**5. Find x, given that i(x) = 0.
-1, 0
Let v be (-28)/6*((-4705)/(-80) + -59). Factor -9/8 - v*f**2 + 1/8*f**3 + 15/8*f.
(f - 3)**2*(f - 1)/8
Let c(p) be the first derivative of p**4 + 40*p**3/3 - 14*p**2 - 784*p + 1862. Solve c(z) = 0 for z.
-7, 4
Suppose -54 + 102 = -4*g. Let d be (123/g)/(81/36) - -5. Factor 1/9*h**2 + 4/9*h + d.
(h + 2)**2/9
Let p(z) be the first derivative of 55/8*z**2 - 3025/8*z + 76 - 1/24*z**3. Find m, given that p(m) = 0.
55
Let y be 3378/14638 - (-108)/39. Solve 2/9*c**5 + 14/3*c + 20/9*c**2 + 2 - 2/3*c**4 - 4/3*c**y = 0.
-1, 3
Let l(d) be the first derivative of 8*d**2 + 1/3*d**3 - 17*d - 45. Factor l(t).
(t - 1)*(t + 17)
Let o(g) = 3*g - 3. Let c be o(2). Factor -16*l**3 + 25*l**2 + 0*l**c - 15 + 10*l - 4*l**3.
-5*(l - 1)**2*(4*l + 3)
Suppose -5*v**2 + 30*v**4 + 3*v**5 - 7*v**2 - 3215*v**3 - 24*v**5 + 3218*v**3 = 0. What is v?
-4/7, 0, 1
Let o(f) be the third derivative of -f**6/30 - 4*f**5/3 - 11*f**4/2 + 36*f**3 + 1302*f**2 + 2. Factor o(z).
-4*(z - 1)*(z + 3)*(z + 18)
Let u(q) be the third derivative of q**6/300 - 191*q**5/75 + 3008*q**4/5 + 24576*q**3/5 + 1446*q**2. Solve u(f) = 0 for f.
-2, 192
Let b(o) = 5*o**4 + 43*o**3 - 217*o**2 - 47*o + 230. Let r(f) = -f**4 + f**3 - 7*f**2 + f - 1. Let y(w) = -b(w) - 2*r(w). Suppose y(l) = 0. What is l?
-19, -1, 1, 4
Let w(r) be the third derivative of 15*r**7/14 - 8*r**6 + 61*r**5/15 - 2*r**4/3 + 1930*r**2 + 3. Find v, given that w(v) = 0.
0, 2/15, 4
Let o(j) = -16*j**2 - 2280*j + 642966. Let k(v) = -3*v**2 - 2*v - 2. Let x(p) = -6*k(p) + o(p). Factor x(d).
2*(d - 567)**2
Let n(i) be the second derivative of -i**4/24 + 267*i**3/2 - 641601*i**2/4 + 2*i - 1057. Let n(k) = 0. Calculate k.
801
Let l = 28/1031 + 1810/9279. Let p(z) be the second derivative of 0 - 1/36*z**4 - 2/3*z**2 - l*z**3 + 16*z. Factor p(o).
-(o + 2)**2/3
Suppose -2*h + 78155 - 78147 = -2*l, -3*l + 33 = 2*h. Factor -4*b**4 + 32/9*b**3 + 0*b + 0*b**2 + 0 + 4/9*b**l.
4*b**3*(b - 8)*(b - 1)/9
Suppose 4*s - 563 - 523 = c, -2*c + 3*s - 2192 = 0. Let t = -6587/6 - c. Suppose -5/3*h + t + 1/6*h**2 = 0. What is h?
5
Let f(y) = 3*y + 48. Let l be f(-16). Let m be -1*(-42)/35 - l. Factor -4/5*w**4 + 3/5*w**5 + 1/5*w + m*w**2 - 2/5 - 4/5*w**3.
(w - 1)**3*(w + 1)*(3*w + 2)/5
Let q be -172*390/(-3080) - (-2)/(-14). Let d = q + 129/22. Suppose 15/2 - 115/4*r + 45/2*r**3 + 20*r**2 - d*r**4 + 25/4*r**5 = 0. What is r?
-1, 2/5, 1, 3
Suppose -794*c**2 + c**4 + 2240*c - 1217*c**3 - 3459*c - 1643*c**2 = 0. Calculate c.
-1, 0, 1219
Let q = 4075 + -16295/4. Let c(s) be the first derivative of 13 - s - 5/8*s**4 + q*s**2 + 1/3*s**3. Factor c(z).
-(z - 1)*(z + 1)*(5*z - 2)/2
Let r = 44 + -19. Suppose 5*y - r - 25 = 0. Suppose 12*g - y*g + 6*g + 20*g**2 - 68*g**3 - 80*g**4 = 0. What is g?
-1, -1/4, 0, 2/5
Let u be (6 - 2)/((-5 - 2) + 11). Let c be u/((-9)/(-36)) + 8/(-10). Factor 0 - 4/5*t**2 - c*t.
-4*t*(t + 4)/5
Let b(a) be the third derivative of -a**7/42 + 13*a**6/24 - 7*a**5/2 - 3050*a**2. Suppose b(t) = 0. What is t?
0, 6, 7
Let h(s) be the second derivative of 8*s**3 + 1 + 124*s + 1/30*s**5 - 112/3*s**2 - 5/6*s**4. Factor h(p).
2*(p - 7)*(p - 4)**2/3
Suppose 0 = -2*p - 3*g + 49, 3*p = -5*g - 1205 + 1286. Suppose -4*r = -7 - 9. Factor -24/7 + 52/7*j + r*j**3 + 104/7*j**p.
4*(j + 1)*(j + 3)*(7*j - 2)/7
Let d(k) = 10*k**3 - 639*k**2 + 5379*k + 5940. Let f(w) = -5*w**3 + 319*w**2 - 2689*w - 2965. Let g(y) = -6*d(y) - 11*f(y). Factor g(z).
-5*(z - 55)*(z - 11)*(z + 1)
Let w(t) be the second derivative of t**5/180 - 7*t**4/72 + t**3/3 + 19*t**2/2 + 52*t. Let u(a) be the first derivative of w(a). Solve u(z) = 0 for z.
1, 6
Suppose -59*f + 6*f = -212. Let v = -2 - -4. Let -8*i - 4*i**2 + 2*i + 3*i**2 + f*i**v = 0. What is i?
0, 2
Let h be (6/33)/((-8)/(-176)). Determine q, given that -13*q**3 + 11*q**3 - 30 + 13*q - 3*q**3 - 10*q**3 + 15*q**2 - 5*q**h + 22*q = 0.
-3, -2, 1
Let d(f) be the second derivative of 5/42*f**7 + 0*f**2 + 0 + 5/6*f**3 + 3/2*f**5 + 97*f + 5/3*f**4 + 2/3*f**6. Let d(p) = 0. Calculate p.
-1, 0
Suppose 0 = -5*z - 3*p + 35, 4*z + 2*p - 5*p = 1. Let k be 8 - (-1 + 1 + 2). What is b in 40*b**3 - 6*b**2 - 79*b**3 + k*b**z + 41*b**3 - 2*b**5 = 0?
-1, 0, 1, 3
Factor -113*w**2 - 179*w + 42*w**2 + 31*w**2 + 37*w**2 + 1448*w.
-3*w*(w - 423)
Suppose -3*n = -h + 54, -22*n + 23*n + 214 = 5*h. Let f be (4/h)/((-178)/(-623)). Let 0 + 0*k + f*k**2 + 0*k**3 - 1/3*k**4 = 0. What is k?
-1, 0, 1
Let x(c) be the third derivative of -1/110*c**5 - c - 1/1320*c**6 + 7/264*c**4 + 0 + 0*c**3 - 3*c**2. Determine r, given that x(r) = 0.
-7, 0, 1
Suppose 71/3*x + 0 - 1/3*x**3 - 70/3*x**2 = 0. What is x?
-71, 0, 1
Let s(y) = 34*y + 172. Let h be s(-5). Suppose 0 = -h*c + 4*g + 12, 5*c + 2*g - 17 = -g. Let -10/3*z**4 + 40/3*z + c*z**2 - 26/3*z**3 - 16/3 = 0. What is z?
-2, 2/5, 1
Let r(y) be the third derivative of -y**8/280 - 19*y**7/175 + 63*y**6/100 - 13*y**5/10 + 11*y**4/10 + 1115*y**2. Let r(q) = 0. Calculate q.
-22, 0, 1
Suppose 44*a - 164 = -40 + 52. Let b(z) be the first derivative of 15/8*z**a + 19*z**3 + 48*z**2 + 12 - 48*z. Let b(s) = 0. Calculate s.
-4, 2/5
Let q(b) = 25*b**2 - 1160*b + 327. Let s(k) = 2*k**2 + 2*k - 1. Let v(l) = -q(l) + 9*s(l). Find c, given that v(c) = 0.
2/7, 168
Find z such that 495/4*z**2 - 107*z - 4*z**4 + 242*z**3 + 61/4 = 0.
-1, 1/4, 61
Let p(h) = 6*h**3 + h**2 - h + 9. Let x(c) = -3*c**3 - c**2 - 5. Let i = -83 + 119. Suppose i = 5*q +