4 + s*d = 0.
-2
Let z(b) be the third derivative of b**6/30 + 8*b**5/15 - 14*b**4/3 - 160*b**3/3 + 25*b**2 - 66. Factor z(v).
4*(v - 4)*(v + 2)*(v + 10)
Let n = 130 - 128. Factor -215*q**n + 4 + 4*q + 106*q**2 + 110*q**2.
(q + 2)**2
Find h such that -1/4*h**4 - 59/2*h**2 + 0 - 119/4*h**3 + 0*h = 0.
-118, -1, 0
Let u be (16/(-12))/((-209)/(-69) + -3). Let q be (-2)/(-8)*(u + 48). Determine v so that v**5 + 0*v + q*v**2 + 0 + 5/2*v**4 + 2*v**3 = 0.
-1, -1/2, 0
Let p(j) be the second derivative of -110*j + 58/3*j**3 + 841*j**2 + 0 + 1/6*j**4. Factor p(n).
2*(n + 29)**2
Let b(k) = -338*k**3 - k**2. Let z be b(-1). Find n such that -1 + z*n**2 - 338*n**2 + 8*n + 10 = 0.
-1, 9
Factor -4/13*r + 4/13*r**3 + 2/13*r**4 - 2/13 + 0*r**2.
2*(r - 1)*(r + 1)**3/13
Let g = 6686 - 80231/12. Let w(m) be the first derivative of -1/8*m**2 - 3/2*m - 14 + g*m**3. Factor w(q).
(q - 3)*(q + 2)/4
Let x(m) = -34*m**3 - 319*m**2 - 724*m + 1077. Let h(w) = -7*w**3 - 64*w**2 - 145*w + 216. Let g(k) = 19*h(k) - 4*x(k). Determine c so that g(c) = 0.
-17, -4, 1
Let v(s) be the third derivative of s**7/42 - 5*s**6/4 + 2*s**5 + 355*s**4/12 + 145*s**3/2 + 158*s**2. Factor v(z).
5*(z - 29)*(z - 3)*(z + 1)**2
Let p be 16/(-4) + 30 + -34 + 10. Let o(b) be the second derivative of 0 - 3/2*b**p - 13*b + 1/24*b**4 + 1/12*b**3. Factor o(j).
(j - 2)*(j + 3)/2
Let k(z) be the first derivative of 476656/5*z + 1/10*z**4 + 124/5*z**3 + 11532/5*z**2 - 208. Solve k(o) = 0.
-62
Suppose 0 = -3*n - y + 40, 62 = 4*n - 68*y + 65*y. Let d(z) be the first derivative of -9*z + 39/4*z**2 + 25 + n*z**3. Factor d(f).
3*(4*f + 3)*(7*f - 2)/2
Let f be 2709/56 - 4/(-16). Let g = f - 2707/56. Factor g*x**2 - 6/7 + 4/7*x.
2*(x - 1)*(x + 3)/7
Solve -2/9*n**3 + 2/9*n + 0 - 2/9*n**2 + 2/9*n**4 = 0 for n.
-1, 0, 1
Suppose -75*o + 204 + 15 = -81. Let d(f) be the second derivative of 1/75*f**6 + 0 - 9*f + 0*f**2 - 1/30*f**3 + 1/15*f**o - 1/20*f**5. Factor d(p).
p*(p - 1)**2*(2*p - 1)/5
Suppose 224*w = 271 + 401. Factor -153/2*b - w + 159/2*b**2.
3*(b - 1)*(53*b + 2)/2
Let b = 252 + -264. Let u be (-123)/(-40) - ((-970)/80 - b). What is t in 18/5 + 12/5*t - u*t**2 - 2/5*t**4 - 12/5*t**3 = 0?
-3, -1, 1
Let w(o) = 16*o - 31. Let q be w(3). Suppose 0 = 5*k + c - 16, 2*k - q = -2*k - 5*c. Factor -1/2*p**2 + 0*p - p**k - 1/2*p**4 + 0.
-p**2*(p + 1)**2/2
Let k be 2/(-7) + (180/42)/1. Let v(l) = l**3 + 4*l**2 + 5. Let t be v(-4). Factor 65*p**k - p**3 + t*p**3 - 57*p**4 + 4*p**5.
4*p**3*(p + 1)**2
Suppose 0*d = -4*d + 8. Suppose 14 = -d*v - 5*g, 5*v = -5*g + g - 1. Factor 4*p**v + 4*p**2 + 3*p**2 + 3*p**2 + 2*p**2.
4*p**2*(p + 3)
Let v(t) be the second derivative of -3/7*t**3 + 1/42*t**4 - 12*t - 10/7*t**2 - 4. Factor v(s).
2*(s - 10)*(s + 1)/7
Let p(f) be the first derivative of 16/3*f**3 + 161 - 7/4*f**4 - 6*f**2 + 0*f + 1/5*f**5. Factor p(r).
r*(r - 3)*(r - 2)**2
Let s(v) = -15*v**2 - 125*v + 103. Let l(a) = -7*a**2 - 63*a + 70. Let r(u) = -13*l(u) + 6*s(u). Determine h so that r(h) = 0.
-73, 4
Let x(z) be the second derivative of z**6/210 - 9*z**5/28 + 173*z**4/28 - 907*z**3/42 + 216*z**2/7 + 2455*z. Find b, given that x(b) = 0.
1, 16, 27
Let b(w) be the third derivative of w**5/80 - 269*w**4/32 - 825*w**3/4 - 3*w**2 + 178*w + 2. Factor b(n).
3*(n - 275)*(n + 6)/4
Let t(r) = -2*r - 1. Let d be t(-8). Factor -d*k - k**2 + 5*k + 16*k**2 - 5*k**3.
-5*k*(k - 2)*(k - 1)
Let q = 7566 - 7561. Let v(o) be the third derivative of 10*o**2 + 0 + 1/2*o**4 + 0*o - 1/20*o**q - 2*o**3. Solve v(x) = 0 for x.
2
Let o = -448 + 1062. Let r = o - 1826/3. Factor 0 + 32/9*h**2 - r*h**3 + 0*h - 4/9*h**5 + 8/3*h**4.
-4*h**2*(h - 2)**3/9
Let f(j) = 7*j**3 + j**2 + 1. Let s(p) = 3*p**4 - 12*p**3 - 186*p**2 + 81*p + 813. Let y(w) = -3*f(w) + s(w). Find a, given that y(a) = 0.
-3, 2, 15
Let g = 171 + -167. Let r be ((g - -1) + -5)/1. Find x, given that -4/3*x**3 - 1/3*x + r - 5/3*x**2 = 0.
-1, -1/4, 0
Let g(m) = 10*m**4 + 157*m**3 - 68*m**2 - 207*m + 4. Let i(k) = -12*k**4 - 162*k**3 + 67*k**2 + 207*k - 5. Let c(s) = 5*g(s) + 4*i(s). Factor c(t).
t*(t + 1)*(t + 69)*(2*t - 3)
Let w = -15194 - -2097059/138. Let f = -44/23 + w. Solve 0 + f*l**2 + 1/3*l = 0.
-2, 0
Let z be (36/5)/6*25/(-2). Let l(x) = x**4 + x**3 - 2*x**2. Let v(y) = -20*y**4 - 235*y**3 - 3330*y**2 - 19600*y - 27440. Let d(n) = z*l(n) - v(n). Factor d(i).
5*(i + 2)*(i + 14)**3
Let u be (1908/(-16695))/(5/(-75)). Factor -u*r - 16/7 + 0*r**2 + 1/7*r**3.
(r - 4)*(r + 2)**2/7
Let n(j) be the second derivative of -1/6*j**4 - 1/180*j**6 - 1/4*j**2 - 5/18*j**3 - 1/20*j**5 + 90*j + 0. Determine o, given that n(o) = 0.
-3, -1
Let c = -805063/3 - -268355. Solve 1/3*k**3 + c - 5/3*k - 1/3*k**4 + k**2 = 0.
-2, 1
Let m be 4/(-2) + (-10*1)/(-2). Suppose 5*s = -m*s + 160. Find x such that -231 + 231 + s*x**2 - 5*x = 0.
0, 1/4
Suppose 2*f - 2*v = 2, 5*v - 3*v - 10 = -4*f. Let 56*a**2 - 29*a**2 + 12*a**3 - 21*a**f + 24 - 2*a**4 - 40*a = 0. What is a?
-2, 1, 6
Let g(c) be the first derivative of 3/2*c**2 + 0*c - 7*c**3 - 56. What is q in g(q) = 0?
0, 1/7
Let n = 3816 - 3811. Let f(v) be the third derivative of 1/6*v**4 + 16*v**2 - 1/30*v**n + v**3 + 0 + 0*v. Determine u so that f(u) = 0.
-1, 3
Let x(h) = -16*h - 56. Let j be x(-5). Suppose -3*g + 4*g + i - 7 = 0, 0 = 4*g + 3*i - j. Factor 5/4*t**2 + 1/2*t + 3/4*t**g - 1/4*t**5 - 1/4*t**4 + 0.
-t*(t - 2)*(t + 1)**3/4
Let f = 1198029 - 1198026. Find c such that -10/9*c - 2*c**2 + 4/9 + 10/9*c**f + 14/9*c**4 = 0.
-1, 2/7, 1
Let n be 1/(-2) - (-11221)/182. Let j = n + -61. Find i such that 50/13 + j*i**2 + 20/13*i = 0.
-5
Factor -1865*i + 13*i**3 - 18*i**3 + 3796*i - 95*i**2 - 251*i + 100 - 5680.
-5*(i - 6)**2*(i + 31)
Suppose -27744 + 815/6*c**2 - 1/6*c**3 - 27608*c = 0. Calculate c.
-1, 408
Let a(t) = -t**4 + 304*t**3 - 534*t**2 + 2*t + 2. Let s(m) = -2*m**4 + 323*m**3 - 533*m**2 + 3*m + 3. Let j(x) = -3*a(x) + 2*s(x). What is w in j(w) = 0?
-268, 0, 2
Suppose 0 = 4*y + 1 - 29. Suppose -y*s = -s. Find a such that s*a - 8 + 12*a**2 - 3*a**4 - a**3 - a**4 - 4*a + 5*a**3 = 0.
-1, 1, 2
Let f(a) be the first derivative of 0*a**2 + 1/24*a**6 + 1/5*a**5 + 5/16*a**4 + 0*a + 1/6*a**3 + 10. Factor f(m).
m**2*(m + 1)**2*(m + 2)/4
Let u(g) be the third derivative of -g**5/15 + 405*g**4/2 - 2428*g**3/3 + 741*g**2 + 5. Factor u(v).
-4*(v - 1214)*(v - 1)
Find t, given that -16*t**2 - 576*t - 27*t**2 + 4*t**3 - 5*t**3 + 2*t**2 - 7*t**2 = 0.
-24, 0
Let v(d) = -d**3 + 6*d**2 - 2*d + 12. Let q be v(6). Suppose -4*a + 5*a - 2 = q. What is n in -4*n**2 - 12 - 14*n - 2*n**3 - 1 + 7 - 6*n**a = 0?
-3, -1
Factor 1735/3*v**2 - 1730/3*v**3 - 5/3*v**4 + 0 + 0*v.
-5*v**2*(v - 1)*(v + 347)/3
Let u be 306/9 + (-2507)/92. Factor -3/4*i**2 + 0 + u*i.
-3*i*(i - 9)/4
Let u be ((-8)/(-120))/(1/(221585/8274)). Let m = -3/394 + u. Find h, given that -4/9*h**2 - m*h + 0 + 2/9*h**3 = 0.
-2, 0, 4
Suppose -k + m + 18 = -12, 4*k - 2*m = 124. Find j, given that 187*j**3 - 94*j**3 - k*j + 24 + 6*j**2 - 91*j**3 = 0.
-6, 1, 2
Let q = -887 + 1079. Suppose 0*k + q = 48*k. Solve 2/3*o**2 + 0 + 0*o + 4/9*o**k + 10/9*o**3 = 0.
-3/2, -1, 0
Let g(a) be the first derivative of -7/12*a**6 + 19/10*a**5 + 1/6*a**3 + 1/2*a**2 - 15/8*a**4 + 112 + 0*a. Let g(n) = 0. What is n?
-2/7, 0, 1
Let n be (0 - -8)/(156/(-5330)). Let t = n - -274. Let 1/3*w**4 - 1/3 + 0*w**2 - t*w + 2/3*w**3 = 0. What is w?
-1, 1
Let i = 108 - 95. Factor -2*h**2 + 235*h + 16*h + i*h - 3889 - 4823.
-2*(h - 66)**2
Solve -56*n**3 + 180*n - 2927*n**2 + 5*n**5 + 60 - 2917*n**2 - n**5 - 168 + 4*n**4 + 5820*n**2 = 0.
-3, 1, 3
Let b = 595302 - 4166905/7. Find g such that -46/7 + b*g - 9/7*g**2 = 0.
2/9, 23
Let f(y) = -5*y**2 + 579*y - 583. Let o(a) = 11*a**2 - 1157*a + 1167. Let s(n) = 14*f(n) + 6*o(n). Let s(b) = 0. What is b?
1, 290
Suppose 0 = -o - v + 2, -6 - 11 = 4*o - v. Let f be -1 + 0 + o - -8. Solve -9*p**2 + 18*p**f - 6*p - 7*p**4 - 8*p**4 = 0.
-1, 0, 2
Let n = -3/87259 + 523575/610813. Factor -n*f**2 - 40/7 + 64/7*f.
-2*(f - 10)*(3*f - 2)/7
Let d(s) = 20*s**2 - 68893*s + 59374526. Let g(z) = -5*z**2 + 17224*z - 14843633. Let r(i) = -2*d(i) - 9*g(i). Find t such that r(t) = 0.
1723
Let m(q) be the second derivative of -q**9/30240 - q**8/896 + q**4/4 - 4*q**2 - 148*q. Let i(g) be the third derivative of m(g). Factor i(o).
-o**3*(o 