 146/3*v**3 - 202/3*v**2 + 22*v**4 - 2/3*v**5 = 0. What is v?
-2, 1, 35
Factor 758*y**2 + 830*y + 417*y**3 - 181*y**3 + 107*y**2 - 201*y**3.
5*y*(y + 1)*(7*y + 166)
Factor 0 + 5/3*h**4 - 20*h - 5*h**3 - 80/3*h**2.
5*h*(h - 6)*(h + 1)*(h + 2)/3
Let s(o) = -o**3 - 2*o**2 + 2. Let w(y) = -5*y**3 + 143*y**2 + 462*y + 8. Let z(t) = 4*s(t) - w(t). What is m in z(m) = 0?
-3, 0, 154
Let f = 149 + -1336. Let v = -1187 - f. Factor 1/2*t**4 - 1/2*t**3 - 1/2*t**2 + v + 1/2*t.
t*(t - 1)**2*(t + 1)/2
Let j(m) = m**2 - 27*m - 121. Let i be ((-52)/(-78))/((-6)/(-279)). Let d be j(i). Factor 3/4*x**2 + 3/4*x**d + 0 + 0*x.
3*x**2*(x + 1)/4
Suppose 0 = 46*k - 49*k + 9. Let -4*v**5 - 394*v**k - v**2 + 2*v**4 + 398*v**3 - v**2 = 0. Calculate v.
-1, 0, 1/2, 1
Let d(v) be the second derivative of v**7/42 - v**6/24 - v**5/12 + 5*v**4/24 + 60*v**2 + 15*v. Let a(z) be the first derivative of d(z). Factor a(i).
5*i*(i - 1)**2*(i + 1)
Find b, given that -10*b**2 - 800*b - 14*b**2 + b**2 - 32000 + 18*b**2 = 0.
-80
Let t(y) be the third derivative of -26*y**2 + 1/150*y**5 + 0 + 1/6*y**4 + 0*y + 3/5*y**3. What is o in t(o) = 0?
-9, -1
Let s(c) be the third derivative of c**6/120 - 49*c**5/60 + 95*c**4/24 - 47*c**3/6 + 12475*c**2. Factor s(p).
(p - 47)*(p - 1)**2
Suppose -172*a + 1403 + 817 = 198*a. Let 1/2*p**4 - p**2 - a*p + 3/2*p**3 - 4 = 0. What is p?
-2, -1, 2
Let u(l) = -l**3 - 34*l**2 + 26*l - 27. Let x be u(-34). Let p = x - -4579/5. What is i in -p*i**4 + 44/5*i**2 - 72/5*i - 14/5*i**5 + 16/5 + 10*i**3 = 0?
-2, 2/7, 1
Let d(h) be the first derivative of -h**3/6 + 200*h**2 - 80000*h + 503. Suppose d(x) = 0. Calculate x.
400
Let w(d) be the third derivative of d**6/40 + 17*d**5/10 - 3242*d**2. Factor w(j).
3*j**2*(j + 34)
Let k be (-3)/(-14)*(-124800)/(-585). Factor -512/7*n**2 + 0 + k*n**3 + 1/7*n**5 + 0*n - 34/7*n**4.
n**2*(n - 16)**2*(n - 2)/7
Let 9*b**3 - 5*b**3 + 460*b + 24980*b**2 - 24516*b**2 = 0. What is b?
-115, -1, 0
Let h(z) be the first derivative of z**9/12096 + z**8/6720 - 7*z**3 - z**2/2 - 63. Let p(d) be the third derivative of h(d). Factor p(t).
t**4*(t + 1)/4
Factor 4/5*g**4 + 72/5*g**3 - 576/5*g**2 + 0*g + 0.
4*g**2*(g - 6)*(g + 24)/5
Let h(y) = -4*y**2 - 296*y + 1641. Let v(c) = -c**2 - 76*c + 410. Let s(g) = -6*h(g) + 22*v(g). Find x such that s(x) = 0.
-59, 7
Let x(h) = -7*h**4 - 36*h**3 + 127*h**2 - 74*h + 5. Let j(f) = -10*f**4 - 54*f**3 + 190*f**2 - 112*f + 7. Let o(u) = 5*j(u) - 7*x(u). Factor o(w).
-w*(w - 2)*(w - 1)*(w + 21)
Let c(s) be the first derivative of -3*s**4 + 42085*s - 42085*s - 58 + 5*s**3 + 9*s**2. Factor c(l).
-3*l*(l - 2)*(4*l + 3)
Let o(a) be the first derivative of 0*a**2 + 1/3*a**6 + 28/9*a**5 + 0*a + 279 - 64/27*a**3 + 64/9*a**4. Solve o(i) = 0 for i.
-4, 0, 2/9
Let t(f) be the first derivative of 45 + 4/21*f**3 - 6/7*f - 1/7*f**2. Factor t(m).
2*(m + 1)*(2*m - 3)/7
Let b(i) be the third derivative of -45 + 0*i + 0*i**4 + 2*i**2 + 1/24*i**6 + 0*i**3 + 1/6*i**5. Factor b(d).
5*d**2*(d + 2)
Let q(p) be the second derivative of -p**4/3 - 1516*p**3 - 2585538*p**2 - 5*p + 101. Factor q(c).
-4*(c + 1137)**2
Let m(y) be the second derivative of 4/33*y**4 - 2/11*y**2 + 20*y + 3/110*y**5 + 1/11*y**3 + 0. Factor m(r).
2*(r + 1)*(r + 2)*(3*r - 1)/11
Factor -384 - 24*y**3 + 16/3*y**4 - 736/3*y**2 + 1/3*y**5 - 1648/3*y.
(y - 8)*(y + 2)**3*(y + 18)/3
Suppose 3*v + 9*a = 7*a + 121, 2*v = 2*a + 64. Let z be 4/42*v/((-74)/(-12)). Let -8/7 - 12/7*d - z*d**2 = 0. Calculate d.
-2, -1
Suppose 17*s - 5651 = -1418. Solve -s*t - 28 + 24 + 216*t**2 + 416*t**3 - 437*t**3 + 58 = 0 for t.
2/7, 1, 9
Let u(o) be the third derivative of -o**5/150 - 55*o**4/12 - 90*o**3 - 1411*o**2 + 3*o. Find q, given that u(q) = 0.
-270, -5
Let r = 2206962/11 + -200632. Solve -2/11*x**2 + 0 - r*x = 0 for x.
-5, 0
Let t(w) be the first derivative of -24*w - 1/3*w**3 - 17 - 11/2*w**2. Factor t(b).
-(b + 3)*(b + 8)
Suppose 0 = -0*v - 4*v - 356. Let s = v - -94. Factor 5 - 5 - 10*j - s*j**2 + 2*j**3 + 8*j**3 + 5.
5*(j - 1)*(j + 1)*(2*j - 1)
Let d = -2561875/766 - -6689/2. Let s = 4530/4213 + d. Determine h so that 0 - 6/11*h**4 - s*h**3 + 12/11*h + 6/11*h**2 = 0.
-2, -1, 0, 1
Let a(s) be the third derivative of -s**6/720 + s**5/40 + 7*s**4/48 + 65*s**3/6 + 7*s**2 - 2*s. Let k(y) be the first derivative of a(y). Factor k(b).
-(b - 7)*(b + 1)/2
Let m be ((-1824)/(-56))/(4/((-280)/(-225))). Let w(b) be the first derivative of 98/5*b**5 + 1 + m*b**3 + 8/5*b**2 + 0*b + 119/5*b**4. Factor w(c).
2*c*(5*c + 2)*(7*c + 2)**2/5
Let d(p) be the third derivative of p**5/2 + 17*p**4/8 - 67*p**3/2 + 53*p**2. Let m(w) = 3*w**2 + 5*w - 20. Let q(u) = -2*d(u) + 21*m(u). What is i in q(i) = 0?
-3, 2
Let w(j) = 3*j**3 - 77*j**2 - 36*j. Let a(v) = -v**3 + 26*v**2 + 13*v + 2. Let d(h) = -11*a(h) - 4*w(h). Factor d(m).
-(m - 22)*(m - 1)*(m + 1)
Let l(j) be the third derivative of 205*j**2 + 0*j + 0*j**5 - 1/420*j**6 + 0*j**3 + 0 + 1/21*j**4. Factor l(r).
-2*r*(r - 2)*(r + 2)/7
Let u(s) = 3*s**2 - 9*s. Suppose 28 = -y + 5*y. Let m(f) = -2*f**2 + y + 46*f - 14*f**2 - 7. Let d(l) = -4*m(l) - 22*u(l). Suppose d(h) = 0. What is h?
0, 7
Let v = 271 + -379. Let r = v - -118. Suppose 18*q**4 - 4/3 - 50/3*q**2 + 10*q**3 - r*q = 0. What is q?
-1, -1/3, -2/9, 1
Let k(p) = p - 16. Let s(z) = 3*z**3 - 1143*z**2 + 109443*z - 108348. Let j(d) = -3*k(d) + s(d). Factor j(v).
3*(v - 190)**2*(v - 1)
Let q = 2537 - 253699/100. Let p(o) be the second derivative of 0 + 1/60*o**4 - 6/5*o**2 + q*o**5 - 16*o - 4/15*o**3. Find w, given that p(w) = 0.
-2, 3
Factor -8 - 1658*g**3 - 3 - 6 + 4*g - g**2 + 1657*g**3 + 21.
-(g - 2)*(g + 1)*(g + 2)
Let h = -2/914723 - -1829460/6403061. Suppose 60/7*v + 18/7*v**4 + 16/7 + h*v**5 + 86/7*v**2 + 58/7*v**3 = 0. Calculate v.
-4, -2, -1
Let m(k) be the second derivative of 1/78*k**4 - 1/39*k**3 + 144*k + 0*k**2 + 0. Determine h so that m(h) = 0.
0, 1
Let q(l) = l**3 + 20*l**2 + 12*l + 72. Let u(s) = -s**2 - s - 3. Let x(t) = 4*q(t) + 84*u(t). Factor x(a).
4*(a - 3)*(a - 1)*(a + 3)
Let j(n) = -3217*n - 3214. Let l be j(-1). Let a(o) be the first derivative of -3*o**l + 12*o - 15/16*o**4 + 27/2*o**2 + 47. Factor a(b).
-3*(b - 2)*(b + 4)*(5*b + 2)/4
Let r(v) be the second derivative of 83*v + 1/21*v**7 + 0 - 4/3*v**3 - 3/10*v**5 + 0*v**2 - 4/3*v**4 + 2/15*v**6. Let r(n) = 0. What is n?
-2, -1, 0, 2
Factor -1/3*t**2 + 49/3*t + 52.
-(t - 52)*(t + 3)/3
Suppose 2*r + 2*a = 4, r - a - 4 = -0*a. Let q(z) = -z**2 + 6*z + 7. Let f be q(7). Factor f*i**5 - 8*i**r - 11*i**4 - 2*i**5 + 19*i**4.
-2*i**3*(i - 2)**2
Find q such that -500/3*q**2 - 40/3*q**4 - 250/3*q**3 + 0 + 0*q - 2/3*q**5 = 0.
-10, -5, 0
Let c(v) = 19*v**4 - 1591*v**3 - 6165*v**2 - 7685*v - 3082. Let j(w) = 8*w**4 - 637*w**3 - 2466*w**2 - 3074*w - 1233. Let b(a) = -5*c(a) + 12*j(a). Factor b(q).
(q + 1)**2*(q + 2)*(q + 307)
Let 32/9*r + 412/9*r**2 - 64/3 + 202/9*r**3 + 14/9*r**4 = 0. Calculate r.
-12, -2, -1, 4/7
Suppose -8*y + 4*l - 3*l - 12 + 62 = 0, 5*l + 10 = 0. Find o such that o**2 - 1/2*o**3 + 11/2*o - y = 0.
-3, 1, 4
Let x(l) be the first derivative of 1/5*l**4 + 88 - 2/5*l**2 - 6/5*l**3 + 2/25*l**5 + 16/5*l. What is z in x(z) = 0?
-4, -1, 1, 2
Let w(j) = j**5 + j**3 - 2*j**2 - j + 1. Suppose 6*y + 6 = -6. Let p(d) = 5*d**4 + 2*d**3 - 7*d**2 + d - 1. Let a(o) = y*p(o) - 2*w(o). What is k in a(k) = 0?
-3, 0, 1
Let v(p) be the third derivative of -p**6/60 + 571*p**5/30 - 20306*p**4/3 - 81796*p**3/3 + 1207*p**2. Suppose v(z) = 0. Calculate z.
-1, 286
Suppose -14*v + 77946 = -3*v. Factor -8052 - 310*k**2 - v - 348*k + 156*k**2 + 152*k**2.
-2*(k + 87)**2
Let x(z) be the first derivative of -z**8/336 + 2*z**7/105 + z**6/40 - z**5/6 - z**4/3 + 42*z**2 + 76. Let a(p) be the second derivative of x(p). Factor a(s).
-s*(s - 4)*(s - 2)*(s + 1)**2
Let d(p) be the third derivative of p**7/210 + 7*p**6/60 + 7*p**5/20 - 3*p**4/2 - 2830*p**2. Factor d(t).
t*(t - 1)*(t + 3)*(t + 12)
Let t be (360 + -360)/(5 - 1 - 0). Let p(g) be the third derivative of 0*g**3 + t - 1/90*g**5 - 1/9*g**4 - 15*g**2 + 0*g. Solve p(r) = 0 for r.
-4, 0
Let g(p) be the third derivative of 59/180*p**6 - 1/3*p**5 + 0*p + 5*p**2 + 0*p**3 - 7 - 1/504*p**8 + 0*p**4 - 4/45*p**7. Determine f, given that g(f) = 0.
-30, 0, 1
Let t(f) be the first derivative of -4*f**3/9 