63 + 2/3*p**4 + 6/25*p**5 + 2*p**2 + 0*p + 16/15*p**3 + 2/525*p**7. Let g(s) = 0. Calculate s.
-2, -1
Let m(p) be the first derivative of p**4/2 + 10*p**3/3 - 23*p**2/2 - 43*p - 73. Let b(t) = t**3 + t + 1. Let z(i) = 3*b(i) + m(i). Factor z(f).
5*(f - 2)*(f + 2)**2
Suppose 8*d = 20*d - 48. Let q be 3/d*(-24)/(-30). Factor -2/5 - 1/5*f**2 + q*f**4 + f**3 - f.
(f - 1)*(f + 1)**2*(3*f + 2)/5
Let j(m) be the first derivative of m**6/3 + 34*m**5/5 - 19*m**4 + 3970. What is d in j(d) = 0?
-19, 0, 2
Let s = -584 + 593. Let v be ((-376)/(-40) - s)/1. Factor -3/5 + 1/5*l**4 - 4/5*l**3 + v*l**2 + 4/5*l.
(l - 3)*(l - 1)**2*(l + 1)/5
Let c = 1/273596 + 307795/136798. Determine i, given that 15/2 + 3/4*i**4 - 9/4*i + c*i**3 - 33/4*i**2 = 0.
-5, -1, 1, 2
Let c = -936 - -915. Let l be ((-1092)/(-1235))/c*-10*1. Solve -8/19*y + 0 - 2/19*y**3 + l*y**2 = 0.
0, 2
Let q be 0 - 2 - -5 - 0/(-10). Suppose -q*o - 13 + 22 = 0. Factor -4*r**2 - 21*r + 21*r + 4*r**o.
4*r**2*(r - 1)
Let k = -226 + 228. Determine o so that -21*o**2 + o**4 + 5*o**4 - 84*o + 24 + 87*o**5 - 108*o**5 + 105*o**3 - 9*o**k = 0.
-2, -1, 2/7, 1, 2
Let l be (4/(-2))/((-4)/6). Determine o, given that 129*o + 20*o**2 - 2*o**3 - l*o + o**3 - 226*o = 0.
0, 10
Let c(l) be the first derivative of 66 + 125/2*l**2 - 20*l**3 - 10*l. Factor c(b).
-5*(b - 2)*(12*b - 1)
Let m(l) = -l**3 - 8*l**2 + 6*l - 139. Let v be m(-10). Let h be 2*(0/3 + v) + 1. Let 5/4*t**4 + 5/2*t**2 + 1/4*t**5 + 1/4 + 5/4*t + 5/2*t**h = 0. What is t?
-1
Let n be (-12*(-8)/120)/(4/(-5) - -1). Let a(m) be the first derivative of 1/4*m**3 + 0*m + 0*m**n - 2 - 3/20*m**5 + 0*m**2. Factor a(b).
-3*b**2*(b - 1)*(b + 1)/4
Let y(r) be the second derivative of -r**5/5 + 7*r**4 - 26*r**3 + 38*r**2 - 819*r. Factor y(w).
-4*(w - 19)*(w - 1)**2
Let f(r) be the first derivative of -2*r**3/21 - 15*r**2/7 + 648*r/7 - 2062. Find m, given that f(m) = 0.
-27, 12
Let z(j) be the third derivative of -j**5/150 - 59*j**4/15 - 13924*j**3/15 - 952*j**2. Find w such that z(w) = 0.
-118
Let h(l) be the first derivative of l**6/12 - 6*l**5/5 + 13*l**4/4 + 2*l**3 - 27*l**2/4 - 195. Find o, given that h(o) = 0.
-1, 0, 1, 3, 9
Let x = 185/624 - -947/3120. Factor 6 - x*l**2 - 9/5*l.
-3*(l - 2)*(l + 5)/5
Suppose 980*h + 5*j - 75 = 984*h, j - 15 = -5*h. Find s, given that -1/2*s**3 + 0*s - 1/6*s**4 - 1/3*s**2 + h = 0.
-2, -1, 0
Let j(y) = 9*y**2 + 179*y - 1200. Let g(v) = -21*v**2 - 360*v + 2406. Let p(h) = -4*g(h) - 9*j(h). Factor p(w).
3*(w - 49)*(w - 8)
Let l = -244859 + 244861. Factor l*h**3 + 2/3*h**4 - 2*h - 4/3 + 2/3*h**2.
2*(h - 1)*(h + 1)**2*(h + 2)/3
Let b(c) = -3*c**3 + 7*c**2 + 33*c + 13. Let m be (-5 + 0 + -1)/((-16)/8). Let a(u) = 2*u**2 - 1 + 0*u**2 - m*u**2 + 0. Let z(g) = 5*a(g) - b(g). Factor z(d).
3*(d - 6)*(d + 1)**2
Let i(q) = 2*q**2 + 11*q + 15. Let z be i(-6). Find h, given that -118*h**4 + 18*h + 3*h - 3*h**2 + 115*h**4 + 6*h**2 - z*h**3 = 0.
-7, -1, 0, 1
Let t be (-47)/(-9) + -5 + (-129)/(-27). Determine l, given that 46*l + 40*l**2 + 18*l - 10*l**4 + t*l**5 - 60*l**3 + 96*l = 0.
-2, 0, 2, 4
Let p be (6/(-1296))/(520/(-468)). Let r(z) be the third derivative of 0 - 25*z**2 - p*z**5 + 0*z + 1/24*z**4 - 1/8*z**3. Factor r(f).
-(f - 3)*(f - 1)/4
Suppose -4*r + 7 = m, -4*m = 5*r - 0*m + 5. Let o be ((-3)/(-9))/(r*(-6)/(-27)). Factor 2*k**2 - 1/2*k**3 + o*k - 2.
-(k - 4)*(k - 1)*(k + 1)/2
Suppose 138*n**2 - 8800 + 1356321*n**4 + 2840*n - 56*n**3 + 5880*n - 1356323*n**4 = 0. What is n?
-20, 1, 11
Let n(d) be the first derivative of -32*d**5/5 - 111*d**4 + 200*d**3 + 446*d**2 - 120*d - 1576. Determine a, given that n(a) = 0.
-15, -1, 1/8, 2
Let h(q) = q**3 - 3*q**2 - 11*q + 9. Let p be h(5). Factor -5*u**4 + p*u**4 + 5*u**4.
4*u**4
Let q(g) be the second derivative of -8 + 1/42*g**4 - 24/7*g**3 - 6*g + 71/7*g**2. Factor q(f).
2*(f - 71)*(f - 1)/7
Let i be (2 - 3)/(84/231 + 59/(-11)). Let v(t) be the first derivative of i*t**3 + 0*t + 0*t**2 + 0*t**4 - 3/25*t**5 - 3. Factor v(k).
-3*k**2*(k - 1)*(k + 1)/5
Let n be 9/((53955/110)/109). Suppose -4/3 + 26/3*s**n + 22/3*s = 0. What is s?
-1, 2/13
Let x(i) = -18*i**4 - 65*i**3 + 52*i**2 + 5*i - 13. Let o(v) = 8*v**4 + 33*v**3 - 26*v**2 - 3*v + 6. Let z(a) = 13*o(a) + 6*x(a). Factor z(k).
-k*(k - 9)*(k - 1)*(4*k + 1)
Let r = -398 + 394. Let k be (r/(-6))/(-6 - 39/(-6)). Factor 16/3*d + 16/3*d**3 - 4/3*d**4 - 8*d**2 - k.
-4*(d - 1)**4/3
Let f be (-665)/(-57)*60/28. Factor 40*i**3 + 50*i**2 - 120*i**3 + 5*i**4 + f*i**3.
5*i**2*(i - 10)*(i - 1)
Let s(j) be the first derivative of -j**7/210 - 11*j**6/90 + 2*j**5/5 + 34*j**3/3 + 80. Let o(n) be the third derivative of s(n). Factor o(b).
-4*b*(b - 1)*(b + 12)
Let h(f) = 64*f**2 - 1492*f + 114. Let c(t) = 5*t**2 - 115*t + 9. Let m(x) = 76*c(x) - 6*h(x). Factor m(y).
-4*y*(y - 53)
Let v(n) be the second derivative of 1/66*n**4 - 4/11*n**2 + 1/11*n**3 - 2*n - 6. Determine q, given that v(q) = 0.
-4, 1
Let s(r) = 6*r**3 + 43*r**2 - 35*r - 111. Let b(h) = -3*h**3 - 21*h**2 + 18*h + 54. Let f(u) = 13*b(u) + 6*s(u). Find j, given that f(j) = 0.
-6, -1, 2
Let y = 187317 + -187315. Factor 0 + 4*p**3 + 45/4*p**y - 81/2*p + 1/4*p**4.
p*(p - 2)*(p + 9)**2/4
Suppose -3*b - 15 = -8*b. Let p be 3/(-7) + (-510)/(-798). Let 2/19*i**4 - p*i**2 + 4/19*i**b + 2/19 - 2/19*i - 2/19*i**5 = 0. Calculate i.
-1, 1
Let o(d) be the second derivative of -d**6/30 + d**5 - 8*d**4/3 - 40*d**3/3 + 72*d**2 - 1543*d. Factor o(a).
-(a - 18)*(a - 2)**2*(a + 2)
Suppose -a - 12*y = -10*y - 10, 5*a - 62 = 2*y. Let m be (-10)/(-3) - (-11)/(-44)*a. Factor -4/3 + m*z**2 - 1/3*z**3 + 4/3*z.
-(z - 2)*(z - 1)*(z + 2)/3
Suppose -332 = 10*f - 372. Let z be (-182)/39 + 9 - f. Factor -2 - z*h**3 - 13/3*h - 8/3*h**2.
-(h + 1)**2*(h + 6)/3
Let n(v) = v**3 + 10*v**2 + 17*v - 21. Let b be n(-7). Let w be (-64)/(-35) + (-3)/b. Let w*s**3 + 96/5*s + 54/5*s**2 - 32/5 = 0. Calculate s.
-4, 2/7
Let u(x) be the second derivative of x**6/90 + 87*x**5/20 - 1055*x**4/36 + 147*x**3/2 - 265*x**2/3 - 2563*x. Factor u(g).
(g - 2)*(g - 1)**2*(g + 265)/3
Let v(l) be the third derivative of l**5/30 + 29*l**4/4 + 86*l**3/3 + 4*l**2 + 23. Factor v(d).
2*(d + 1)*(d + 86)
Let q(w) be the first derivative of 0*w**2 - 96/5*w**5 + 8/3*w**3 - 13*w**4 + 0*w - 80. Solve q(y) = 0.
-2/3, 0, 1/8
Let d(l) be the third derivative of l**7/840 + 7*l**6/80 + 159*l**5/80 + 85*l**4/12 - 50*l**3 + 1381*l**2. Determine c, given that d(c) = 0.
-20, -3, 1
Suppose 0 = -117*i + 17*i - 196*i + 38*i. Let q(m) be the third derivative of -37*m**2 + i + 1/120*m**4 - 1/15*m**3 + 1/300*m**5 + 0*m. Solve q(n) = 0.
-2, 1
Let q be -9*22/33 + 1 + 7. Let n(r) be the first derivative of 13 + 21/2*r**q + 5*r**3 + 9*r + 3/4*r**4. Factor n(t).
3*(t + 1)**2*(t + 3)
Determine r, given that 2/15*r**2 + 736/5 + 34/3*r = 0.
-69, -16
Suppose -25*g - 18 = -1793. Suppose -43*y - 112 = -g*y. Let -4*s**4 + 8/5*s + y*s**2 - 4*s**3 + 0 + 12/5*s**5 = 0. What is s?
-1, -1/3, 0, 1, 2
Factor 16*v**3 - 545*v**2 - 428 + 81*v + 77*v**2 + 483*v + 316.
4*(v - 28)*(v - 1)*(4*v - 1)
Determine t so that 274/9*t**3 - 32*t + 8 + 14/9*t**5 + 58/9*t**2 - 130/9*t**4 = 0.
-1, 2/7, 1, 3, 6
Let d(n) be the third derivative of 5/3*n**4 - 1/75*n**5 - 250/3*n**3 + 0 - 87*n**2 + 0*n. Factor d(b).
-4*(b - 25)**2/5
Let z = 2468904/5 - 493770. Let 12/5 + z*l**2 + 16/5*l**3 + 10*l = 0. What is l?
-2, -1, -3/8
Suppose -54 = -72658*o + 72653*o + 3*c, c = -5*o + 2. Factor 2*r - 1/3*r**2 + 0 - 1/3*r**o.
-r*(r - 2)*(r + 3)/3
Let b = 473 - 474. Let r be (b/(-10))/(4/10). Find c, given that r + 1/4*c - 1/4*c**3 - 1/4*c**2 = 0.
-1, 1
Find z such that -253/4*z**2 + 0 + 1/4*z**4 + 0*z - 3*z**3 = 0.
-11, 0, 23
Suppose -4*d + 3*j + 21 = 0, 0 = -3*j - 9 - 0. Suppose -3*f + 16 = 2*q, d*f + 8*q - 3*q = 31. Factor -1/5*t**f + 2/5*t - 1/5.
-(t - 1)**2/5
Let -60*v**2 - 1724 - 52 + 3*v**4 + 24*v**2 + 111*v**3 - 1380*v = 0. Calculate v.
-37, -2, 4
Let y(p) be the third derivative of p**6/96 + 989*p**5/48 + 38285*p**4/3 + 305045*p**3/6 + 372*p**2 - 2*p - 3. Factor y(b).
5*(b + 1)*(b + 494)**2/4
Factor -10/7*w**2 - 38/7*w - 24/7.
-2*(w + 3)*(5*w + 4)/7
Let n = -20517 - -82073/4. Factor 0 + 5/4*s**2 + 5/4*s**3 - n*s - 5/4*s**4.
-5*s*(s - 1)**2*(s + 1)/4
Let v = 446 + -3114/7. Suppose 3*i = -3*s - 0*i - 3, 5*s - 1 = -4*i. Factor 0*