 + 2166*n + 91*n**2 + 9820 + 72*n**2.
2*(n + 19)**3
Suppose 2*r - 5 = -3*r. Let m be (-2)/r*(7 - (-185)/(-25)). Suppose m*k - 4/5 - 1/5*k**2 = 0. What is k?
2
Let y(x) be the second derivative of x**5/90 + 2*x**4/9 - 133*x**3/27 - 11*x + 80. Factor y(i).
2*i*(i - 7)*(i + 19)/9
Let u(z) = -z**3 - 31*z**2 + 94*z + 26. Let c be u(-34). Let j = 1193/4 - c. Factor 5/4*k + 1 + j*k**2.
(k + 1)*(k + 4)/4
Let j(g) = -2 - 3*g + 4 + 4*g - 2*g. Let c be j(0). Factor 304*w**3 - 2*w**2 - 303*w**3 - w + c*w.
w*(w - 1)**2
Let p be 7/(175/20 - 9). Let m be 4 + 1/(p/35). Let -1/4*f**2 + 0 - m*f = 0. What is f?
-11, 0
Suppose -4*t + 95 = 4*i - 101, 2*t - 3*i = 73. Suppose 0*w - 22*w + t = 0. Factor 0*q**3 - 1/2*q**w + 1/4*q**4 + 0*q + 1/4.
(q - 1)**2*(q + 1)**2/4
Let k(d) = -d**2 + 43*d + 78. Let s be k(23). Let m = -538 + s. What is g in m + 0*g - 5/4*g**2 - 5/4*g**3 = 0?
-1, 0
Let h be (3/2)/(2130/(-110)). Let b = 20525/994 + h. Factor -8/7 - 66/7*p - 32/7*p**3 - b*p**2.
-2*(p + 4)*(4*p + 1)**2/7
Determine v so that -5922/5*v**2 + 151/5*v**3 - 10952/5 + 16724/5*v - 1/5*v**4 = 0.
1, 2, 74
Let r be 195/27 + -7 + 296/666. Determine c, given that 0 + r*c**3 + 4/3*c**2 + 2/3*c = 0.
-1, 0
Let w be 3/2*(13 + -11). Factor 7*n**3 + 8*n**3 - 6*n**3 + 31*n**w + 5*n**5 + 45*n**4.
5*n**3*(n + 1)*(n + 8)
Solve 5/3*h - 10/3*h**3 + 5/2*h**4 - 5/6*h**2 + 0 = 0 for h.
-2/3, 0, 1
Let h(t) be the third derivative of t**5/720 - 11*t**4/144 + 5*t**2 - 83. Factor h(r).
r*(r - 22)/12
Solve -f**4 - 15*f**3 - 46*f**2 + 113*f - 9*f**2 + 19*f**4 - 3*f**5 - 5*f**2 - 48 - 5*f = 0 for f.
-2, 1, 2, 4
Let f be (2 - (-28)/(-15)) + (-1562914)/(-2895). Let u be 156/70 + f/450. Solve 12/7*r + 4/7*r**5 + 0 - u*r**4 + 48/7*r**3 - 40/7*r**2 = 0.
0, 1, 3
Let i(b) be the second derivative of b**6/105 - 3*b**5/70 - b**4/14 + 11*b**3/21 - 6*b**2/7 + 158*b. Factor i(m).
2*(m - 3)*(m - 1)**2*(m + 2)/7
Suppose q + 4*g + 38 = 6*q, 0 = -2*q - 3*g + 6. Let p(s) be the first derivative of -1/2*s**q - 9/4*s**4 + 0*s**2 + 13 + 0*s + 9/5*s**5 + s**3. Factor p(n).
-3*n**2*(n - 1)**3
Let x(d) be the third derivative of -d**6/1080 - d**5/108 + 37*d**4/108 - 20*d**3/9 - 112*d**2 - 2*d - 4. Factor x(r).
-(r - 5)*(r - 2)*(r + 12)/9
Let x(c) be the first derivative of c**3/2 + 57*c**2/4 - 138*c - 768. Let x(i) = 0. Calculate i.
-23, 4
Let v be 2 + 10/(-6) + (-78)/(-9). Let o = v + -6. Determine w so that w**o + 23*w**2 + 9 + 21*w + 2*w**3 - 9*w**2 + w**2 = 0.
-3, -1
Let f(m) be the second derivative of -5/18*m**3 + 0 - 24*m + 0*m**2 + 5/36*m**4. Solve f(c) = 0.
0, 1
Let s(w) be the third derivative of w**5/180 + 17*w**4/36 + 32*w**3/9 + 873*w**2. Factor s(g).
(g + 2)*(g + 32)/3
Let w(q) be the first derivative of q**4 - 424*q**3/3 - 432*q**2 + 5628. Factor w(y).
4*y*(y - 108)*(y + 2)
Suppose 0 = 5*a + 5, 131*w + 2*a = 130*w - 3. Let z be w*(-8 + (-52)/(-7)). Let -z*r**4 - 12/7*r**3 + 0 + 0*r + 16/7*r**2 = 0. What is r?
-4, 0, 1
Let j = 55/46504 - -46119/325528. Suppose -4*k + b + 8 = -b, b + 10 = 4*k. Find u such that 1/7*u**k - j*u + 1/7*u**4 - u**2 + 6/7 = 0.
-3, -1, 1, 2
Let q(d) = 2*d**3 + 2*d - 1. Let b(p) = -19*p**3 + 50*p**2 - 590*p - 1343. Let r(w) = 4*b(w) + 36*q(w). Find z such that r(z) = 0.
-2, 26
Let g(l) = -l**2 - 14*l + 24. Let z be g(-11). Suppose -z*j = -54*j - 129. Determine r so that 44*r + j - 63 - 23*r**2 + 4*r**3 - 5*r**2 = 0.
1, 5
Let d(k) be the second derivative of -k**6/240 + 11*k**5/120 - k**4/2 - 3*k**3 + 25*k**2/2 + 35*k. Let r(u) be the first derivative of d(u). Factor r(l).
-(l - 6)**2*(l + 1)/2
Let s(h) = -2*h**2 + 21*h. Let f(v) = 125*v**2 - 305*v + 15. Let p(k) = f(k) - 5*s(k). Factor p(n).
5*(n - 3)*(27*n - 1)
Determine u, given that 2*u**3 + 6*u**3 + 820*u**2 + 4*u + 2*u**3 - 15*u**3 + u**3 - 820 = 0.
-1, 1, 205
Let k = 289/160 - -10973/480. Factor 25*g - k - 1/3*g**2.
-(g - 74)*(g - 1)/3
Let n(c) be the second derivative of 25*c**7/126 + 31*c**6/18 + 19*c**5/10 - 43*c**4/9 + 20*c**3/9 - c - 174. Solve n(d) = 0 for d.
-5, -2, 0, 2/5
Let c = 37 - 35. Let f(q) = 2*q**3 + 2*q**2 + q. Let a be f(c). Let 57*v**3 - 40*v + 5*v**5 - 53*v**3 + 20*v**2 - 25*v**4 + a*v**3 = 0. Calculate v.
-1, 0, 2
Factor 2*i**3 - 2810*i - 829 - 1603 - 6*i**3 - 624*i**2 + 362*i.
-4*(i + 2)**2*(i + 152)
Determine n, given that -182 - 1720*n - 1725*n**2 + 552 - 178 - 187 = 0.
-1, 1/345
Let b(l) be the second derivative of 30*l + 7/66*l**4 - 4/11*l**3 - 2 - 1/110*l**5 + 0*l**2. Factor b(m).
-2*m*(m - 4)*(m - 3)/11
Let v(r) be the third derivative of r**7/8820 + r**6/360 + r**5/70 - 41*r**4/8 + 6*r**2. Let q(x) be the second derivative of v(x). What is w in q(w) = 0?
-6, -1
Let u(q) = -q - 16. Let l be u(-12). Let n be ((-3)/l)/(((-15)/(-40))/1). Solve -1 - 9*h**n + 4*h + 11*h**2 + 3 = 0.
-1
Solve -2254122/7 - 1/7*r**4 + 155/7*r**3 + 232713/7*r - 1287*r**2 = 0.
38, 39
Suppose -2060450/11 - 4060/11*x - 2/11*x**2 = 0. Calculate x.
-1015
Let s(u) be the third derivative of -u**8/5040 + u**7/840 - 33*u**3/2 - 42*u**2. Let a(w) be the first derivative of s(w). Factor a(b).
-b**3*(b - 3)/3
Let w(u) be the second derivative of u**7/4200 - u**6/900 - u**3 + 4*u**2 - u + 105. Let d(a) be the second derivative of w(a). Factor d(y).
y**2*(y - 2)/5
Let m(x) be the second derivative of -5*x**4/12 - 175*x**3/6 - 85*x**2 + 59*x - 2. Factor m(j).
-5*(j + 1)*(j + 34)
Let b(q) be the first derivative of 2*q**3/3 - 60*q**2 - 122*q - 720. Suppose b(x) = 0. Calculate x.
-1, 61
Let w(p) = p**2 - p + 2. Let f(o) = -2*o**2 + 22*o - 43. Let y be f(9). Let v(c) = 4*c**2 - 139*c + 149. Let h(m) = y*w(m) + v(m). Factor h(j).
-3*(j - 1)*(j + 45)
Let t(p) be the second derivative of 0*p**4 + 1/30*p**6 + 1 - 1/50*p**5 + 0*p**3 - 13*p + 1/30*p**7 + 0*p**2. Factor t(u).
u**3*(u + 1)*(7*u - 2)/5
Suppose -27 = -2*v + 3*c, 15 = -2*c - c. Let i(k) be the first derivative of 8/9*k**3 - 8/3*k**2 - 1/12*k**4 + 0*k - v. Let i(o) = 0. What is o?
0, 4
Let r(g) = g**2 + 9103*g + 145395. Let p be r(-16). Factor -4/5*b**2 - 2/5*b**p + 26/5*b - 4.
-2*(b - 2)*(b - 1)*(b + 5)/5
Let f = -4207/15 - -281. Let c(h) = -271*h + 4607. Let j be c(17). Factor f*z**2 - 6/5*z**3 + 4/5*z**4 + 0 - 2/15*z**5 + j*z.
-2*z**2*(z - 4)*(z - 1)**2/15
Let i be 37338/13970 - 21/77. Determine k, given that -i + 16/15*k**2 + 22/15*k - 2/15*k**3 = 0.
-2, 1, 9
Let w(j) = -13*j - 13. Let b be w(-3). Solve 33*l + b + 39 - 93*l + 5*l**2 - 10 = 0.
1, 11
Factor 36/7*s + 3/7*s**2 - 480/7.
3*(s - 8)*(s + 20)/7
What is q in -142 - 65/4*q**2 + 209/2*q - 1/4*q**3 = 0?
-71, 2, 4
Suppose 0 = -s - 4*l + 1667, -4*l + 2988 = -3*s + 7957. Suppose 4*i - 28 = 2*c, 0 = 5*i - 2*c + 6*c - 22. Solve -3*a + s + i*a**2 - 1659 - 3*a**3 = 0.
0, 1
Solve -4/9 - 1970/9*m - 218*m**3 - 3928/9*m**2 = 0 for m.
-1, -2/981
Let o be ((54/49)/(-27))/(6/(-7))*6. Factor -o*x**2 + 2/3 - 40/21*x.
-2*(x + 7)*(3*x - 1)/21
Let -6035*j**3 + 6415*j**3 - 3*j**4 + 784*j + 7*j**4 - 1168*j**2 = 0. Calculate j.
-98, 0, 1, 2
Factor 1/9*k**3 - 144722/9 - 60*k**2 + 24479/3*k.
(k - 269)**2*(k - 2)/9
Let b be (-1)/(-8)*-65*(-216)/468. Factor b*g**3 + 1/4*g + 0 + 9/4*g**4 + 7/4*g**2.
g*(g + 1)*(3*g + 1)**2/4
Let k(q) be the second derivative of -q**6/1260 + q**5/105 - q**4/28 - 83*q**3/6 - 97*q. Let r(j) be the second derivative of k(j). Factor r(d).
-2*(d - 3)*(d - 1)/7
Let r = 130223/5 + -26035. Factor 576/5 + 1/5*c**2 + r*c.
(c + 24)**2/5
Let j be (0 - 129/(-9))*(-126)/(-14). Factor 12*y**3 - j*y**4 + 0*y + 0*y + 133*y**4 - 16*y**2.
4*y**2*(y - 1)*(y + 4)
Let w be (-690)/(-6 + 4) - 2. Let y = w + -341. Factor 8/21*g - 4/21*g**y + 16/21 - 2/21*g**3.
-2*(g - 2)*(g + 2)**2/21
Let r(x) be the third derivative of x**6/40 - 119*x**5/5 + 2935*x**2. Suppose r(y) = 0. What is y?
0, 476
Let m = 8903 - 8899. Let r(w) be the first derivative of -20 + 1/8*w**m - 2/3*w**3 + 5/4*w**2 - w. Factor r(k).
(k - 2)*(k - 1)**2/2
Factor -7*l + 17*l**3 - 7*l**3 + 6 + 0*l - 2*l**3 - 7*l**3.
(l - 2)*(l - 1)*(l + 3)
Suppose 1078*m - 2333 = 327 - 504. Factor 0 + 3/7*b**m - 72/7*b.
3*b*(b - 24)/7
Let u = 763 - 733. Suppose u*l - 20 = 100. Determine d so that 2/5*d**l + 0*d**2 + 8/5*d**3 + 0 + 0*d = 0.
-4, 0
Let z(s) = -8*s**2 + 138*s - 254. Let c(q) = -5*q**2 + 70*q - 126. Let d(g) = 5*c(g) - 3*z(g). Find x such that d(x) = 0.
-66, 2
Factor 1/3*k**3 + 22 - 32/3*k**2