b - 2)/7
Suppose -w = -22 - 641. Suppose 2*s - 1343 = -17. Factor 6*b**3 - s*b + w*b + 2*b**4.
2*b**3*(b + 3)
Suppose -30*s + 42*s = -13*s + 50. Suppose 0*t + 2/13*t**s + 0 = 0. What is t?
0
Let c(s) be the first derivative of 2*s**2 - 19 - 4/3*s**3 + 24*s. Factor c(o).
-4*(o - 3)*(o + 2)
Let c(t) = t**3 - 20*t**2 + 3*t + 3. Let y(g) = 2*g**3 - 42*g**2 + 7*g + 7. Let i = 391 + -385. Let w(b) = i*y(b) - 14*c(b). Factor w(h).
-2*h**2*(h - 14)
Factor -373*d**5 - 39 + 39 + 374*d**5 - 10*d**3 - 24*d**2 + 3*d**4.
d**2*(d - 3)*(d + 2)*(d + 4)
Let f(m) be the second derivative of -m**7/168 - m**6/12 + 7*m**5/40 + 2*m**4/3 - 13*m**3/24 - 11*m**2/4 + 3503*m. Solve f(w) = 0 for w.
-11, -1, 1, 2
Let v(m) = 22*m**2 + 12*m - 34. Let f(g) be the first derivative of 3*g - 1/2*g**2 - 2/3*g**3 - 30. Let b(y) = -68*f(y) - 6*v(y). Determine i so that b(i) = 0.
0, 1
Let d(w) = -4*w - 4. Let t be 6/21 - (225/(-21) + 2). Let i be (-189)/t*(-2)/6. Let c(m) = m**2 + 9*m + 8. Let s(u) = i*d(u) + 4*c(u). Factor s(p).
4*(p + 1)**2
Let h(x) = 4*x**2 - 46*x + 63. Let r be h(9). Let n be (11 + r)/8 + 4. What is i in 48/7*i**n - 4*i**4 - 256/7 + 128*i - 160/7*i**3 = 0?
-4, 2/7, 2
Let o(v) be the second derivative of -1 + 1/90*v**4 - v + 86/45*v**3 + 1849/15*v**2. Suppose o(f) = 0. What is f?
-43
Let p(k) be the third derivative of -k**5/540 + 31*k**4/216 - 40*k**3/9 + 4079*k**2. Find i, given that p(i) = 0.
15, 16
Let 126890*l + 194 - 1765*l**2 - 1229 - 129665*l - 25*l**3 = 0. Calculate l.
-69, -1, -3/5
Let w be 260/84 - ((-4640)/672 + (-7)/(-1)). Let r(m) be the third derivative of -25/6*m**w + 0*m + 0 - 1/4*m**5 - m**2 + 5/3*m**4. Factor r(u).
-5*(u - 1)*(3*u - 5)
Let i be 17 + 210/(-21) - 7. Let k(s) be the first derivative of -3/4*s**4 - 3/2*s**3 + 0*s**2 + i*s + 3/10*s**5 + 2. Find w such that k(w) = 0.
-1, 0, 3
Suppose -4*f + 2*c = 36, 0*f - f = -c + 8. Let m be (6/4)/(f/(-4)). Factor 7/5*h**5 + 0 - 12/5*h**4 + m*h**3 + 2/5*h**2 + 0*h.
h**2*(h - 1)**2*(7*h + 2)/5
Let h = -1911 + 1913. Let o(g) be the second derivative of -1/27*g**4 - 1/27*g**3 + 1/90*g**5 + 0 + 2/9*g**h + 6*g. Solve o(q) = 0 for q.
-1, 1, 2
Let p = 2 - 6. Let b(z) = z**5 + 11 - 7 - 8*z**4 - 4*z**2 - 4*z**3 + z**4. Let s(i) = -6*i**4 - 3*i**3 - 3*i**2 + 3. Let w(v) = p*s(v) + 3*b(v). Factor w(k).
3*k**4*(k + 1)
Suppose -h - h + 3*h = 0. Suppose h = 3*j - 2 - 7. Find m such that 24*m**2 - j*m**2 + 1 + 4*m - 11*m**2 - 7*m**2 = 0.
-1, -1/3
Let v be (-4)/(-10) - (-135)/(-25). Let z be v/(-1*1/1). Factor -15*w - 6*w**3 - 6*w**2 - w**5 + 18*w**3 + 12*w**4 - 6 + 4*w**z.
3*(w - 1)*(w + 1)**3*(w + 2)
Let j(l) be the first derivative of 3698*l**3/3 + 3096*l**2 + 2592*l + 2461. Let j(a) = 0. What is a?
-36/43
Let n(c) be the third derivative of 7*c**6/150 - 1363*c**5/75 - 2981*c**4/15 - 3184*c**3/15 + 17*c**2 + 93*c. Suppose n(t) = 0. Calculate t.
-4, -2/7, 199
Let t(l) be the third derivative of 2 + 2*l**2 + 1715/6*l**3 - 1/42*l**7 + 0*l + 245/6*l**4 + 5/6*l**6 - 21/2*l**5. Suppose t(j) = 0. What is j?
-1, 7
Let s(u) be the third derivative of u**8/336 - u**7/90 - 35*u**6/72 + 239*u**5/180 + 110*u**4/3 - 50*u**3 - 353*u**2. Determine g, given that s(g) = 0.
-5, 1/3, 6
Determine g so that 0 + 0 - 5264*g**3 + 5268*g**3 - 66*g**2 - 78*g**2 = 0.
0, 36
Let c(v) be the first derivative of -v**4/10 - 74*v**3/5 + 1033. Factor c(j).
-2*j**2*(j + 111)/5
Let x be (-4)/6*(-1)/4. Let l(f) be the first derivative of 0*f**3 - f**2 + 4/3*f - 23 + x*f**4. Determine m, given that l(m) = 0.
-2, 1
Let j be ((-6)/4)/1*(-3 + 1). Factor 75*a + 129 + 2*a**3 + 0*a**3 - 12*a**2 - 5*a**j - 45.
-3*(a - 4)*(a + 1)*(a + 7)
Let z be (-500)/(-140) - 3*(-3)/21. Find i, given that -48 + 9 + z - 9 - 2*i**2 - 26*i = 0.
-11, -2
Suppose -37 - 62 = -4*m - 29*m. Suppose 3*z + 3 = 4*k - 3, -2 = -4*z + 2*k. Factor -8*t**4 + 12*t**4 - 4*t**m - 5*t**4 + t**z + 4*t**5.
t**2*(t - 1)*(t + 1)*(4*t - 1)
Let f(k) be the second derivative of -2*k**6/3 - 42*k**5/5 - 37*k**4 - 196*k**3/3 - 48*k**2 + 4233*k + 2. Solve f(r) = 0.
-4, -3, -1, -2/5
Let v(p) = -2*p**3 - 12*p**2 + 21*p + 115. Let c be v(-9). What is g in -58 - 39 + 140*g**2 + c*g + 73 = 0?
-3, 2/35
Let u(s) be the third derivative of -s**7/504 + 19*s**6/144 - 3*s**5/4 - 131*s**4/24 + 282*s**2. Let x(n) be the second derivative of u(n). Solve x(b) = 0.
1, 18
Factor 1/3*r**2 - 16 + 13/3*r.
(r - 3)*(r + 16)/3
Let d be 44*(-10)/40 - -11. Let c = -1277/63 + 194/9. Determine x, given that -51/7*x**2 + d - 9*x**3 + 12/7*x**5 - 9/7*x - c*x**4 = 0.
-1, -1/4, 0, 3
Let s be 15 - -4*11*(-92)/368. Suppose 2/9*z**s - 2 + 4/3*z**3 + 16/9*z**2 - 4/3*z = 0. What is z?
-3, -1, 1
What is o in 14*o - 5962*o**4 + 2*o**5 + 66*o - 36*o**2 + 5998*o**4 - 82*o**3 = 0?
-20, -1, 0, 1, 2
Let 2018*y + 19*y**3 + 109*y**3 + 18*y**4 - 2*y**5 - 2144*y + 18*y**4 - 36*y**2 = 0. Calculate y.
-3, -1, 0, 1, 21
Factor -1146/7 + 2/7*q**2 - 376/7*q.
2*(q - 191)*(q + 3)/7
Let b(i) = -14*i + 61. Let w be b(4). Let c(o) be the third derivative of 1/120*o**w - 21*o**2 + 0*o**4 + 1/480*o**6 + 0*o**3 + 0*o + 0. Factor c(p).
p**2*(p + 2)/4
Factor 25*m - 1/9*m**3 + 11/3*m**2 + 39.
-(m - 39)*(m + 3)**2/9
Let p = 195 + -193. Suppose -10*l**3 + 136*l**3 + 4*l - 4*l - 2*l**p = 0. Calculate l.
0, 1/63
Let v(o) be the third derivative of -11 + o**2 - 1/240*o**5 + 0*o + 0*o**3 + 35/96*o**4. Factor v(f).
-f*(f - 35)/4
Let t(d) be the third derivative of -d**7/280 - 183*d**6/160 - 11163*d**5/80 - 226981*d**4/32 - 9*d**2 - 177. Factor t(h).
-3*h*(h + 61)**3/4
Let a = 14461/9 + -1602. Let g = a - 31/9. Find x such that g + 1/3*x**3 + 2/3*x**2 - 7/3*x = 0.
-4, 1
Let i(a) = 8*a**3 + 1401*a**2 - 700*a - 12. Let q(h) = -249*h**3 - 43431*h**2 + 21699*h + 378. Let u(r) = -63*i(r) - 2*q(r). Determine c so that u(c) = 0.
-234, 0, 1/2
Let n(h) be the third derivative of 0 + h**2 + 1/300*h**5 + 147/10*h**3 - 81*h + 7/20*h**4. Let n(r) = 0. Calculate r.
-21
Let p = 499402 + -499394. Factor -88 + p*r - 2/11*r**2.
-2*(r - 22)**2/11
Factor -6/5*f**2 - 423*f + 1059/5.
-3*(f + 353)*(2*f - 1)/5
Suppose -49*q + 1296 = -37*q. Factor -q*t**2 + 30*t**4 - 3*t - 7*t + 19*t**4 - 168*t**3 - 6*t.
t*(t - 4)*(7*t + 2)**2
Let n(z) = -5*z**2 - 14*z - 9. Let y = -8 + 12. Let f(r) be the first derivative of -2*r**3 - 15*r**2/2 - 9*r + 1147. Let g(c) = y*f(c) - 5*n(c). Factor g(b).
(b + 1)*(b + 9)
Let p be (175/2975)/(-10 - (-172)/17). Factor -1/2*t - 13/2 + 13/2*t**2 + p*t**3.
(t - 1)*(t + 1)*(t + 13)/2
Suppose 0 = 5*w + 4*s - 3707 + 3668, 0 = -14*w - 5*s + 72. Find k, given that -12/5*k**2 - 2/5*k**w - 2*k + 0 = 0.
-5, -1, 0
Let -1046/13*m**2 - 3184/13*m - 792/13 + 4962/13*m**3 - 50/13*m**5 + 110/13*m**4 = 0. What is m?
-9, -2/5, 1, 11
Suppose -3*r + 15 = 6. Suppose 4*y - r = 9. Find w, given that 3*w**3 + 0*w**y + 61*w**2 + w**4 - 61*w**2 = 0.
-3, 0
Let y(t) be the first derivative of -3*t**4/4 + 25*t**3 + 246*t**2 - 1260*t - 4008. Factor y(f).
-3*(f - 30)*(f - 2)*(f + 7)
Let k(y) be the first derivative of 1/4*y**4 - 13/2*y**2 - 2/3*y**3 + 82 - 10*y. Determine r, given that k(r) = 0.
-2, -1, 5
Determine i, given that 30 + 137/2*i - 7/2*i**2 = 0.
-3/7, 20
Suppose -17*c - 5*c + 22 = 0. Suppose -h = c, h + 5 + 21 = 5*o. Suppose 3/2*n**3 + n - 5/2*n**2 - 1/2*n**o + 1/2*n**4 + 0 = 0. What is n?
-2, 0, 1
Let v(a) = 43*a - 82. Let k be v(4). Let r be ((-6)/k)/(-1) - 3/(-9). Factor 4/5*w**3 - 4/5*w**2 - r*w + 2/5 + 2/5*w**4 - 2/5*w**5.
-2*(w - 1)**3*(w + 1)**2/5
Let x be (20/56)/(((-56)/(-2156))/((-8)/(-44))). Factor 0 - 3/4*j**3 - 7/4*j - x*j**2.
-j*(j + 1)*(3*j + 7)/4
Let d(j) be the third derivative of -7*j**6/24 - 125*j**5/6 - 505*j**4/6 + 340*j**3/3 + 10*j**2 + 138. Factor d(a).
-5*(a + 2)*(a + 34)*(7*a - 2)
Let m(j) be the third derivative of -j**7/840 - j**6/120 + 31*j**3/6 + 4*j**2 - 32. Let s(w) be the first derivative of m(w). Let s(i) = 0. Calculate i.
-3, 0
Suppose 4*y = -6*y + 2*y. Factor 45*u**2 + 2*u + 19*u**3 + 80 + y*u + 118*u - 14*u**3.
5*(u + 1)*(u + 4)**2
Suppose 0 = 17*b + 22*b + 819. Let j be b/12*75/(-35). Let j*o**3 - 3/2*o**4 - 3/4*o**2 + 0 - 3/2*o = 0. Calculate o.
-1/2, 0, 1, 2
Let s(a) be the second derivative of a**6/240 - 617*a**5/160 + 307*a**4/16 + a**3/12 - 307*a**2/2 + 41*a - 2. Suppose s(i) = 0. What is i?
-1, 2, 614
Let p(b) = -141*b**2 - 55437*b - 9203238. Let